diff --git a/.gitignore b/.gitignore index c1f4265..bde1b80 100644 --- a/.gitignore +++ b/.gitignore @@ -19,6 +19,6 @@ pysparselp/gaussSiedel.cpp pysparselp/gaussSiedel.html pysparselp/*.pyc pysparselp/SparseLP.pyc - -pysparselp.egg-info python_venv +pysparselp.egg-info/ + diff --git a/.vscode/.ropeproject/config.py b/.vscode/.ropeproject/config.py new file mode 100644 index 0000000..0b2a316 --- /dev/null +++ b/.vscode/.ropeproject/config.py @@ -0,0 +1,123 @@ +# The default ``config.py`` +# flake8: noqa + + +def set_prefs(prefs): + """This function is called before opening the project""" + + # Specify which files and folders to ignore in the project. + # Changes to ignored resources are not added to the history and + # VCSs. Also they are not returned in `Project.get_files()`. + # Note that ``?`` and ``*`` match all characters but slashes. + # '*.pyc': matches 'test.pyc' and 'pkg/test.pyc' + # 'mod*.pyc': matches 'test/mod1.pyc' but not 'mod/1.pyc' + # '.svn': matches 'pkg/.svn' and all of its children + # 'build/*.o': matches 'build/lib.o' but not 'build/sub/lib.o' + # 'build//*.o': matches 'build/lib.o' and 'build/sub/lib.o' + prefs["ignored_resources"] = [ + "*.pyc", + "*~", + ".ropeproject", + ".hg", + ".svn", + "_svn", + ".git", + ".tox", + ] + + # Specifies which files should be considered python files. It is + # useful when you have scripts inside your project. Only files + # ending with ``.py`` are considered to be python files by + # default. + # prefs['python_files'] = ['*.py'] + + # Custom source folders: By default rope searches the project + # for finding source folders (folders that should be searched + # for finding modules). You can add paths to that list. Note + # that rope guesses project source folders correctly most of the + # time; use this if you have any problems. + # The folders should be relative to project root and use '/' for + # separating folders regardless of the platform rope is running on. + # 'src/my_source_folder' for instance. + # prefs.add('source_folders', 'src') + + # You can extend python path for looking up modules + # prefs.add('python_path', '~/python/') + + # Should rope save object information or not. + prefs["save_objectdb"] = True + prefs["compress_objectdb"] = False + + # If `True`, rope analyzes each module when it is being saved. + prefs["automatic_soa"] = True + # The depth of calls to follow in static object analysis + prefs["soa_followed_calls"] = 0 + + # If `False` when running modules or unit tests "dynamic object + # analysis" is turned off. This makes them much faster. + prefs["perform_doa"] = True + + # Rope can check the validity of its object DB when running. + prefs["validate_objectdb"] = True + + # How many undos to hold? + prefs["max_history_items"] = 32 + + # Shows whether to save history across sessions. + prefs["save_history"] = True + prefs["compress_history"] = False + + # Set the number spaces used for indenting. According to + # :PEP:`8`, it is best to use 4 spaces. Since most of rope's + # unit-tests use 4 spaces it is more reliable, too. + prefs["indent_size"] = 4 + + # Builtin and c-extension modules that are allowed to be imported + # and inspected by rope. + prefs["extension_modules"] = [] + + # Add all standard c-extensions to extension_modules list. + prefs["import_dynload_stdmods"] = True + + # If `True` modules with syntax errors are considered to be empty. + # The default value is `False`; When `False` syntax errors raise + # `rope.base.exceptions.ModuleSyntaxError` exception. + prefs["ignore_syntax_errors"] = False + + # If `True`, rope ignores unresolvable imports. Otherwise, they + # appear in the importing namespace. + prefs["ignore_bad_imports"] = False + + # If `True`, rope will insert new module imports as + # `from import ` by default. + prefs["prefer_module_from_imports"] = False + + # If `True`, rope will transform a comma list of imports into + # multiple separate import statements when organizing + # imports. + prefs["split_imports"] = False + + # If `True`, rope will remove all top-level import statements and + # reinsert them at the top of the module when making changes. + prefs["pull_imports_to_top"] = True + + # If `True`, rope will sort imports alphabetically by module name instead + # of alphabetically by import statement, with from imports after normal + # imports. + prefs["sort_imports_alphabetically"] = False + + # Location of implementation of + # rope.base.oi.type_hinting.interfaces.ITypeHintingFactory In general + # case, you don't have to change this value, unless you're an rope expert. + # Change this value to inject you own implementations of interfaces + # listed in module rope.base.oi.type_hinting.providers.interfaces + # For example, you can add you own providers for Django Models, or disable + # the search type-hinting in a class hierarchy, etc. + prefs[ + "type_hinting_factory" + ] = "rope.base.oi.type_hinting.factory.default_type_hinting_factory" + + +def project_opened(project): + """This function is called after opening the project""" + # Do whatever you like here! diff --git a/.vscode/launch.json b/.vscode/launch.json index 17e15f2..2b2502c 100644 --- a/.vscode/launch.json +++ b/.vscode/launch.json @@ -9,7 +9,8 @@ "type": "python", "request": "launch", "program": "${file}", - "console": "integratedTerminal" + "console": "integratedTerminal", + "justMyCode": false } ] } \ No newline at end of file diff --git a/.vscode/settings.json b/.vscode/settings.json index 9bda2cb..d852b3e 100644 --- a/.vscode/settings.json +++ b/.vscode/settings.json @@ -1,7 +1,15 @@ -{ - "python.pythonPath": "python_venv\\Scripts\\python.exe", - "python.linting.pylintEnabled": false, + +{ + "python.linting.pylintEnabled": false, "python.linting.flake8Enabled": true, "python.linting.enabled": true, + "python.linting.mypyEnabled": false, + "python.pythonPath": "python_venv\\Scripts\\python.exe", + "files.exclude": { + "**/*.bak": true, + "**/*.pyc": true, + "**/__pycache__": true + }, "python.formatting.provider": "black" -} \ No newline at end of file +} + diff --git a/images/curves_SC50B.svg b/images/curves_SC50B.svg new file mode 100644 index 0000000..be9a79e --- /dev/null +++ b/images/curves_SC50B.svg @@ -0,0 +1,44594 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/pysparselp/ADMM.py b/pysparselp/ADMM.py index 1e17711..1d5c3b2 100644 --- a/pysparselp/ADMM.py +++ b/pysparselp/ADMM.py @@ -58,7 +58,7 @@ def lp_admm( gamma_ineq=3, nb_iter=100, callback_func=None, - max_time=None, + max_duration=None, use_preconditioning=True, nb_iter_plot=10, ): @@ -101,8 +101,13 @@ def lp_admm( m = m.tocsr() lambda_eq = np.zeros(a_eq.shape[0]) lambda_ineq = np.zeros(x.shape) + + chrono = Chrono() + if use_lu: + chrono.tic() lu_m = scipy.sparse.linalg.splu(m) + print(f"splu for block took {chrono.toc()} seconds") # luM = scipy.sparse.linalg.spilu(M,drop_tol=0.01) elif use_cholesky: import scikits.sparse @@ -213,7 +218,7 @@ def energy(x, xp, lambda_eq, lambda_ineq): if i % nb_iter_plot == 0: elapsed = time.clock() - start - if max_time is not None and elapsed > max_time: + if max_duration is not None and elapsed > max_duration: break energy1 = energy(x, xp, lambda_eq, lambda_ineq) energy2 = energy1 @@ -222,19 +227,9 @@ def energy(x, xp, lambda_eq, lambda_ineq): max_violated_inequality = max(0, -np.min(x)) print( - "iter" - + str(i) - + ": energy1= " - + str(energy1) - + " energy2=" - + str(energy2) - + " elapsed " - + str(elapsed) - + " second" - + " max violated inequality:" - + str(max_violated_inequality) - + " max violated equality:" - + str(max_violated_equality) + f"iter {i} elapsed={elapsed:1.2f}: energy1={energy1} energy2={energy2}" + f"max violated inequality:{max_violated_inequality:1.3e}" + f"max violated max_violated_equality:{max_violated_equality:1.3e}" ) if callback_func is not None: callback_func( @@ -282,7 +277,7 @@ def lp_admm2( gamma_ineq=0.7, nb_iter=100, callback_func=None, - max_time=None, + max_duration=None, use_preconditioning=False, nb_iter_plot=10, ): @@ -291,6 +286,7 @@ def lp_admm2( # Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers # the difference with admm_solver is that the linear equality constraints a_eq*x=beq are enforced during the resolution # of the subproblem instead of beeing enforced through multipliers + print("Solving LP with ADMM v2") use_lu = True use_amg = False use_cholesky = False @@ -339,13 +335,16 @@ def lp_admm2( ) ).tocsr() if use_lu: + ch.tic() + print("sparse lu factorization...", end="") lu_m = scipy.sparse.linalg.splu(m.tocsc()) + print("splu took " + str(ch.toc()) + " seconds") nb_cg_iter = 1 elif use_cholesky: import scikits.sparse ch.tic() - # not that it will work only if M is positive definite which nto garantied the way it is constructed + # not that it will work only if M is positive definite which not garantied the way it is constructed # unfortunately i'm not able to catch the error to fall back on LU decomposition if # cholesky fails because the matrix is not positive definite chol = scikits.sparse.cholmod.cholesky( @@ -435,7 +434,7 @@ def energy(x, xp, lambda_ineq): xp = np.minimum(xp, ub) if niter % nb_iter_plot == 0: elapsed = time.clock() - start - if not (max_time is None) and elapsed > max_time: + if not (max_duration is None) and elapsed > max_duration: break energy1 = energy(x, xp, lambda_ineq) energy2 = energy1 diff --git a/pysparselp/ADMMBlocks.py b/pysparselp/ADMMBlocks.py index 6a06209..350961e 100644 --- a/pysparselp/ADMMBlocks.py +++ b/pysparselp/ADMMBlocks.py @@ -52,19 +52,15 @@ def lp_admm_block_decomposition( lb, ub, x0=None, - gamma_ineq=0.7, + gamma_ineq=0.07, nb_iter=100, callback_func=None, - max_time=None, + max_duration=None, use_preconditioning=True, use_lu=True, nb_iter_plot=10, ): - # simple ADMM method with an approximate resolution of a quadratic subproblem using conjugate gradient - # inspired by Boyd's paper on ADMM - # Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers - # the difference with admm_solver is that the linear quality constraints a_eq*beq are enforced during the resolution - # of the subproblem instead of beeing enforced through multipliers + n = c.size start = time.clock() elapsed = start @@ -85,7 +81,7 @@ def lp_admm_block_decomposition( xp = np.minimum(xp, ub) # trying some preconditioning - # left preconditioning seems not to change anything if not used in combination with use_preconditioning_cols as each subproblem is solved exactly. + # left preconditioning seems not to change anything if not used in combination with use_preconditioning_cols as each subproblem is solved exactly. use_preconditioning_rows = False if use_preconditioning_rows: a_eq, beq = precondition_constraints(a_eq, beq, alpha=2) @@ -208,7 +204,7 @@ def lp_admm_block_decomposition( ch.tic() lu = scipy.sparse.linalg.splu(m.tocsc()) - print(ch.toc()) + print(f"splu for block {id_block} took {ch.toc()} seconds") else: ch.tic() lu = scikits.sparse.cholmod.cholesky(m.tocsc(), mode="simplicial") @@ -310,7 +306,7 @@ def energy(x, xp, lambda_ineq): if i % nb_iter_plot == 0: elapsed = time.clock() - start - if elapsed > max_time: + if elapsed > max_duration: break energy1 = energy(x, xp, lambda_ineq) diff --git a/pysparselp/ChambollePockLineSearch.py b/pysparselp/ChambollePockLineSearch.py new file mode 100644 index 0000000..a10c9e2 --- /dev/null +++ b/pysparselp/ChambollePockLineSearch.py @@ -0,0 +1,399 @@ +"""Primal dual Chambolle and Pock algorithm with line search +Translated from matlab code written in 2012 by Mengqi(Mandy) Xia and Kevin Musgrave +as final project for Cornell's CS6820 Analysis of Algorithms Class +Oringal code: https://github.com/xiamengqi2012/ChambollePockLinesearch +This is probably implementing the method described in +A First-Order Primal-Dual Algorithm with Linesearch. Yura Malitsky and ThomasPock. SIAM Journal on Optimization. 2018 +https://arxiv.org/abs/1608.08883 +It could probably be accelerated using some preconditioning. +""" +import time + +import numpy as np + +import scipy.sparse as sparse + + +methods = ("standard", "xyseparate", "without_linesearch") + + +def sparse_matrix_norm(a): + np.random.seed(0) + v0 = np.random.rand(a.shape[0]) + return sparse.linalg.svds(a, k=1, which="LM", v0=v0)[1][ + 0 + ] # intialization is random by default, which mak ethe code non determinisic + + +def chambolle_pock_linesearch( + a, + b, + c, + nmax=10000000, + eps=1e-9, + tol=1e-9, + method="standard", + callback=None, + max_duration=np.inf, + stage=True, +): + """Solve a primal-dual pair min{c'x|Ax=b,x>=0} and max{b'y|A'y<=c} using Chambolle and Pock algorithm. + A is a matrix. b and c are column vectors. Input x and y are current x + and y values. gamma and tau are two user defined parameters for CP algorithm + Return x and y are updated values after one iteration + + Translated from matlab code written in 2012 by Mengqi(Mandy) Xia and Kevin Musgrave + as final project for Cornell's CS6820 Analysis of Algorithms Class + original code: https://github.com/xiamengqi2012/ChambollePockLinesearch + it probably implements the method described in + A First-Order Primal-Dual Algorithm with Linesearch. + Yura Malitsky and ThomasPock. SIAM Journal on Optimization. 2018 + https://arxiv.org/abs/1608.08883 + It could probably be accelerated using some preconditioning + """ + start = time.clock() + gamma = 1 + tau = 1 / (2 * (sparse_matrix_norm(a) ** 2) * gamma) + # Restriction: gamma*tau < 1/norm(A)^2 + + err = np.inf + values = [] + errors = [] + + nr, nc = a.shape + + x = np.zeros((nc)) + y = np.zeros((nr)) + + xnew = np.zeros((nc)) + ynew = np.zeros((nr)) + + n_iter = 1 + alpha_0 = 1 # The minimum value of alpha + alpha_max = 50 # Alpha value that we start with + factor = ( + 1 / 1.4 + ) # Backtracking linesearch is updated each time using alpha=alpha*factor + + a_t_csr = a.T.tocsr() + a = a.tocsr() + + q11 = sparse.eye(nr) / gamma + q12 = -a + q21 = -a.T + q22 = sparse.eye(nc) / tau + q = sparse.bmat([[q11, q12], [q21, q22]]).tocsr() + + elapsed = 0 + + alpha = alpha_max + + factor_augment = ( + 1.3 / factor + ) # not in original implementation , but seem to speed things up + + while err > tol and n_iter < nmax and elapsed < max_duration: + + n_iter += 1 + x = xnew + y = ynew + dist_sol_list = [] + + xnew, ynew, vk, num_activate, alpha = chambolle_pock_update( + a, + a_t_csr, + b, + c, + x, + y, + gamma, + tau, + method, + alpha_0, + min(alpha * factor_augment, alpha_max), + factor, + q, + eps, + stage, + ) + value = b.dot(ynew) + values.append(value) + err = np.sqrt( + np.linalg.norm(a * xnew - b) ** 2 + + np.linalg.norm(np.maximum(a_t_csr * ynew - c, 0)) ** 2 + ) + + errors.append(err) + + if n_iter % 100 == 0: + elapsed = time.clock() - start + print(f"iteration {n_iter} time ={elapsed:2.0f} sec error ={err:1.3e}") + + if callback is not None: + callback(x, y, n_iter) + + return { + "x": xnew, + "y": ynew, + "values": values, + "errors": errors, + "dist_sol": dist_sol_list, + } + + +def chambolle_pock_update( + a, + a_t_csr, + b, + c, + x, + y, + gamma, + tau, + method, + alpha_0, + alpha_max, + factor, + q, + eps, + stage, +): + + assert method in methods + + ax_minus_b = a * x - b + num_activate = 0 + gamma_ax_minus_b = gamma * ax_minus_b + vk = -gamma_ax_minus_b + # If number of input arguments is 7 then do CP without linesearch + + if method == "without_linesearch": + x, y = xy_update(x, y, a, a_t_csr, c, gamma_ax_minus_b, tau) + alpha = 1 + + elif method == "standard": + + alpha, satisfied, x_update2 = initialization(alpha_max, x) + + x_temp_next, y_temp_next, x_temp, y_temp = pre_alpha_calculation( + alpha_0, x, y, a, a_t_csr, b, c, gamma, gamma_ax_minus_b, tau, x_update2 + ) + while alpha * factor > alpha_0 and not satisfied: + alpha, satisfied = calculate_alpha( + alpha, + factor, + x, + x_update2, + y, + a, + a_t_csr, + b, + c, + gamma, + gamma_ax_minus_b, + tau, + q, + x_temp_next, + y_temp_next, + x_temp, + y_temp, + eps, + stage, + ) + + x, y = xy_update(x, y, a, a_t_csr, c, gamma_ax_minus_b, tau, alpha) + + elif method == "xyseparate": + + alpha, satisfied, x_update2 = initialization(alpha_max, x) + + x_temp_next, y_temp_next, x_temp, y_temp = pre_alpha_calculation( + alpha_0, x, y, a, a_t_csr, b, c, gamma, gamma_ax_minus_b, tau, x_update2 + ) + while alpha * factor > alpha_0 and not satisfied: + alpha, satisfied = calculate_alpha( + alpha, + factor, + x, + x_update2, + y, + a, + a_t_csr, + b, + c, + gamma, + gamma_ax_minus_b, + tau, + q, + x_temp_next, + y_temp_next, + x_temp, + y_temp, + eps, + 1, + ) + + y = y + alpha * (-gamma_ax_minus_b) + alpha, satisfied, _ = initialization(alpha_max, x) + + x_temp_next, y_temp_next, x_temp, y_temp = pre_alpha_calculation( + alpha_0, + x, + y, + a, + a_t_csr, + b, + c, + gamma, + gamma_ax_minus_b, + tau, + x_update2, + y_temp, + ) + while alpha * factor > alpha_0 and not satisfied: + alpha, satisfied = calculate_alpha( + alpha, + factor, + x, + x_update2, + y, + a, + a_t_csr, + b, + c, + gamma, + gamma_ax_minus_b, + tau, + q, + x_temp_next, + y_temp_next, + x_temp, + y_temp, + eps, + 2, + ) + + x_update1 = x + alpha * tau * (a_t_csr * (y - 2 * gamma_ax_minus_b) - c) + x_update2 = np.zeros((len(x))) + x = np.maximum(x_update1, x_update2) + else: + raise BaseException(f"unknown method {method}") + + return x, y, vk, num_activate, alpha + + +def initialization(alpha_max, x): + alpha = alpha_max + satisfied = 0 + x_update2 = np.zeros((len(x))) + return alpha, satisfied, x_update2 + + +def xy_update(x, y, a, a_t_csr, c, gamma_ax_minus_b, tau, alpha=1): + y = y + alpha * (-gamma_ax_minus_b) + x_update1 = x + tau * (a_t_csr * (y - 2 * gamma_ax_minus_b) - c) + x = np.maximum(x_update1, 0) + return x, y + + +def pre_alpha_calculation( + alpha_0, + x, + y, + a, + a_t_csr, + b, + c, + gamma, + gamma_ax_minus_b, + tau, + x_update2, + y_temp=None, +): + + if y_temp is None: + y_temp = y + alpha_0 * (-gamma_ax_minus_b) + + x_update1 = x + tau * (a_t_csr * (y - 2 * gamma_ax_minus_b) - c) + x_temp = np.maximum(x_update1, x_update2) + + ax_temp_b = a * x_temp - b + y_temp = y - gamma * ax_temp_b + x_update1 = x_temp + tau * (a_t_csr * (y_temp - 2 * gamma * ax_temp_b) - c) + x_temp_next = np.maximum(x_update1, x_update2) + ax_temp_b_next = a * x_temp_next - b + y_temp_next = y_temp - gamma * ax_temp_b_next + + return x_temp_next, y_temp_next, x_temp, y_temp + + +def calculate_alpha( + alpha, + factor, + x, + x_update2, + y, + a, + a_t_csr, + b, + c, + gamma, + gamma_ax_minus_b, + tau, + q, + x_temp_next, + y_temp_next, + x_temp, + y_temp, + eps, + stage, +): + if stage: + alpha = alpha * factor + + y_temp_alpha = y + alpha * (-gamma_ax_minus_b) + x_update1 = x + tau * (a_t_csr * (y_temp_alpha - 2 * gamma_ax_minus_b) - c) + x_temp_alpha = np.maximum(x_update1, x_update2) + + ax_temp_alpha_b = a * x_temp_alpha - b + y_temp_next_alpha = y_temp_alpha - gamma * ax_temp_alpha_b + x_update1 = x_temp_alpha + tau * ( + a_t_csr * (y_temp_next_alpha - 2 * gamma * ax_temp_alpha_b) - c + ) + x_temp_next_alpha = np.maximum(x_update1, x_update2) + + r_kplus1 = np.hstack( + ((y_temp_next_alpha - y_temp_alpha), (x_temp_next_alpha - x_temp_alpha)) + ) + + r_bark = np.hstack(((y_temp_next - y_temp), (x_temp_next - x_temp))) + + r_kplus1_norm = np.sqrt((q * r_kplus1).dot(r_kplus1)) + r_bark_norm = np.sqrt((q * r_bark).dot(r_bark)) + satisfied = r_kplus1_norm <= (1 - eps) * r_bark_norm # Q norm + + else: + alpha = alpha * factor + + x_temp_alpha = x + alpha * (x_temp - x) + ax_temp_alpha_b = a * x_temp_alpha - b + y_temp_alpha = y - gamma * ax_temp_alpha_b + + x_update1 = x_temp_alpha + tau * ( + a_t_csr * (y_temp_alpha - 2 * gamma * ax_temp_alpha_b) - c + ) + x_temp_next_alpha = np.maximum(x_update1, x_update2) + y_temp_next_alpha = y_temp_alpha - gamma * (a * x_temp_next_alpha - b) + + r_kplus1 = np.hstack( + ((y_temp_next_alpha - y_temp_alpha), (x_temp_next_alpha - x_temp_alpha)) + ) + + r_bark = np.hstack(((y_temp_next - y_temp), (x_temp_next - x_temp))) + + r_kplus1_norm = np.sqrt((q * r_kplus1).dot(r_kplus1)) + r_bark_norm = np.sqrt((q * r_bark).dot(r_bark)) + satisfied = r_kplus1_norm <= (1 - eps) * r_bark_norm + # Q norm + + return alpha, satisfied diff --git a/pysparselp/ChambollePockPPD.py b/pysparselp/ChambollePockPPD.py index f1a3d7d..e24c03b 100644 --- a/pysparselp/ChambollePockPPD.py +++ b/pysparselp/ChambollePockPPD.py @@ -47,23 +47,24 @@ def chambolle_pock_ppd( theta=1, nb_max_iter=100, callback_func=None, - max_time=None, + max_duration=None, save_problem=False, force_integer=False, nb_iter_plot=10, ): - # method adapted from - # Diagonal preconditioning for first order primal-dual algorithms in convex optimization - # by Thomas Pack and Antonin Chambolle - # the adaptation makes the code able to handle a more flexible specification of the LP problem - # (we could transform generic LPs into the equality form , but i am note sure the convergence would be the same) - # minimizes c.T*x - # such that - # a_eq*x=beq - # b_lower<= a_ineq*x<= b_upper assert(scipy.sparse.issparse(a_ineq)) - - # lb<=x<=ub - + """Solve linear programming problem using chambolle-pock first order primal dual-method with preconditioning. + + Method adapted from Diagonal preconditioning for first order primal-dual algorithms in convex optimization + by Thomas Pack and Antonin Chambolle + the adaptation makes the code able to handle a more flexible specification of the LP problem + (we could transform generic LPs into the equality form, but i am not sure the convergence would be the same) + minimizes c.T*x + such that + a_eq*x=beq + b_lower<= a_ineq*x<= b_upper + lb<=x<=ub + """ + assert scipy.sparse.issparse(a_ineq) start = time.clock() elapsed = start @@ -194,7 +195,7 @@ def chambolle_pock_ppd( niter = 0 while niter < nb_max_iter: - # Update he primal variables + # Update the primal variables d = c if a_eq is not None: if use_vec_sparsity: @@ -240,10 +241,9 @@ def chambolle_pock_ppd( r_ineq = (a_ineq * x3) - b_ineq if niter % nb_iter_plot == 0: - prev_elapsed = elapsed + elapsed = time.clock() - start - mean_iter_period = (elapsed - prev_elapsed) / 10 - if (max_time is not None) and elapsed > max_time: + if (max_duration is not None) and elapsed > max_duration: break energy1 = c.dot(x) @@ -291,30 +291,10 @@ def chambolle_pock_ppd( best_integer_solution = x_rounded print( - "iter" - + str(niter) - + ": energy1= " - + str(energy1) - + " energy2=" - + str(energy2) - + " elapsed " - + str(elapsed) - + " second" - + " max violated inequality:" - + str(max_violated_inequality) - + " max violated equality:" - + str(max_violated_equality) - + " x3 has " - + str(100 * np.mean(x3 == 0)) - + " % of zeros " - + "diff x3 has " - + str(100 * np.mean(diff_x3 == 0)) - + " % of zeros " - + "mean_iter_period=" - + str(mean_iter_period) + f"iter {niter} elapsed {elapsed:2.1f} seconds: energy1={energy1:f} energy2={energy2:f}" + f" max_viol_eq={max_violated_inequality:1.3e} max_viol_ineq ={max_violated_equality:1.3e}" + f" x3_sparsity ={np.mean(x3 == 0):1.2f} diff_x3_sparsity={np.mean(diff_x3==0):1.2f}" ) - # 'y_eq has '+str(100 * np.mean(y_eq==0))+' % of zeros '+\ - # 'y_ineq has '+str(100 * np.mean(y_ineq==0))+' % of zeros '+\ if callback_func is not None: diff --git a/pysparselp/DeepPrimalDual.py b/pysparselp/DeepPrimalDual.py new file mode 100644 index 0000000..b05dcac --- /dev/null +++ b/pysparselp/DeepPrimalDual.py @@ -0,0 +1,403 @@ +"""Expriment with learning an optimizer for LP problem as a Neural network that performes primal-dual minimization iterates.""" + +import datetime +import os + +import matplotlib.pyplot as plt + +import numpy as np + +from pysparselp.randomLP import generate_random_lp + +import torch +import torch.nn as nn +import torch.nn.functional as functional +from torch._six import inf + + +def scipy_sparse_to_torch(sparse_matrix): + coo = sparse_matrix.tocoo() + values = coo.data + indices = np.vstack((coo.row, coo.col)) + i = torch.LongTensor(indices.astype(np.int32)) + v = torch.FloatTensor(values) + shape = coo.shape + return torch.sparse.DoubleTensor(i, v, torch.Size(shape)) + + +def generate_random_lps(nb_problems=10, get_dual_sol=True): + + # generate set of problems + lp_with_sol = [] + + for problem_id in range(nb_problems): + print(f"generating problem {problem_id}") + lp, feasible_x, scipy_sol = generate_random_lp( + nbvar=5, n_eq=0, n_ineq=5, sparsity=0.8, seed=None + ) + lp.convert_to_all_inequalities() + + if get_dual_sol: + lp.convert_to_single_inequalities_without_bounds() # simpler to get a dual problem + lp_dual = lp.get_dual() + y_ineq, _ = lp_dual.solve(method="scipy_revised_simplex") + assert ( + abs(lp.costsvector.dot(scipy_sol) + lp_dual.costsvector.dot(y_ineq)) + < 1e-8 + ) + lp.dual_solution = y_ineq + else: + lp.convert_to_one_sided_inequality_system() + + lp.solution = scipy_sol + lp_with_sol.append(lp) + + return lp_with_sol + + +class DeepPrimalDual(nn.Module): + """Class to learn DNN that does primal dual optimization steps.""" + + def __init__( + self, + nch_primal=(4, 4), + nch_dual=(4, 4), + has_bounds=False, + coef_increase_primal=1, + coef_increase_dual=1, + ): + super(DeepPrimalDual, self).__init__() + + self.primal_convs = nn.ModuleList() + self.primal_conv_bns = nn.ModuleList() + + self.dual_convs = nn.ModuleList() + self.dual_conv_bns = nn.ModuleList() + + self.nch_dual = nch_dual + self.nch_primal = nch_primal + self.has_bounds = has_bounds + + self.coef_increase_primal = coef_increase_primal + self.coef_increase_dual = coef_increase_dual + + if has_bounds: + nch_add_primal = 4 + nch_primal_input = nch_primal[-1] + nch_dual[-1] + else: + nch_add_primal = 2 + nch_primal_input = nch_primal[-1] + nch_dual[-1] + + nc_primal = (nch_primal_input, *nch_primal) + + nch_add_dual = 2 + + nch_dual_input = nch_primal[-1] + nch_dual[-1] + nc_dual = (nch_dual_input, *nch_dual) + + for i in range(len(nc_primal) - 1): + + self.primal_convs.append( + nn.Conv1d(nc_primal[i] + nch_add_primal, nc_primal[i + 1], 1) + ) + + for i in range(len(nc_dual) - 1): + self.dual_convs.append( + nn.Conv1d(nc_dual[i] + nch_add_dual, nc_dual[i + 1], 1) + ) + + self.dual_update = nn.Conv1d(nc_dual[-1] + nch_add_dual, 1, 1) + self.primal_update = nn.Conv1d(nc_primal[-1] + nch_add_primal, 1, 1) + + def forward(self, lp, nb_max_iter, loss_decay=0.90, beta=1, cheat=False, std_y=1.0): + + assert lp.a_equalities is None + assert lp.b_lower is None + # assert(lp.has_single_inequalities_without_bounds()) + + a = scipy_sparse_to_torch(lp.a_inequalities) + b = torch.FloatTensor(lp.b_upper[:, None]) + c = torch.FloatTensor(lp.costsvector[:, None]) + + if self.has_bounds: + assert lp.all_bounded() + lb = torch.FloatTensor(lp.lower_bounds[:, None]) + ub = torch.FloatTensor(lp.upper_bounds[:, None]) + x = beta * (torch.rand(a.shape[1], 1, dtype=torch.float32) - 0.5) * ( + ub - lb + ) + 0.5 * (ub + lb) + else: + x = torch.randn(a.shape[1], 1, dtype=torch.float32) * beta + + y = torch.randn(a.shape[0], 1, dtype=torch.float32) * std_y + + if cheat: + alpha = np.random.rand() + solution_pytorch = torch.FloatTensor(lp.solution[:, None]) + x = alpha * solution_pytorch + (1 - alpha) * x + + if lp.dual_solution is not None: + y = ( + alpha * (torch.FloatTensor(lp.dual_solution[:, None])) + + (1 - alpha) * y + ) + + # x = torch.zeros(a.shape[1], 1, dtype=torch.float32) + + y_h = torch.zeros(self.nch_dual[-1], a.shape[0], dtype=torch.float32) + + x_h = torch.zeros(self.nch_primal[-1], a.shape[1], dtype=torch.float32) + + at = a.transpose(1, 0) + + distances_primal_list = [] + distances_dual_list = [] + + for _ in range(nb_max_iter): + + # Update the primal variables + + # compute constraint violations + r = a.matmul(x) - b + a_t_x_h = a.matmul(x_h.T) + + for i in range(len(self.dual_convs)): + if i == 0: + y_h = torch.cat((y_h, a_t_x_h.T), 0) + y_h = torch.cat((y_h, y.T, r.T), 0) + y_h = functional.relu(self.dual_convs[i](y_h[None, :, :])).squeeze(dim=0) + + y_h2 = torch.cat((y_h, y.T, r.T), 0) + + y = y + self.dual_update(y_h2[None, :, :]).squeeze(dim=0).T + + # compute modified cost + d = c + at.matmul(y) + at_y_h = at.matmul(y_h.T) + + for i in range(len(self.primal_convs)): + if i == 0: + x_h = torch.cat((x_h, at_y_h.T)) + if self.has_bounds: + x_h = torch.cat((x_h, x.T, d.T, lb.T, ub.T)) + else: + x_h = torch.cat((x_h, x.T, d.T)) + + x_h = functional.relu(self.primal_convs[i](x_h[None, :, :])).squeeze(dim=0) + + if self.has_bounds: + x_h2 = torch.cat((x_h, x.T, d.T, lb.T, ub.T)) + else: + x_h2 = torch.cat((x_h, x.T, d.T)) + + x = x + self.primal_update(x_h2[None, :, :]).squeeze(dim=0).T + + if lp.all_bounded(): + # may cause problem due to gradient zeroing + x = torch.max(torch.min(x, ub), lb) + + squared_distance_primal = torch.sum( + (x - torch.FloatTensor(lp.solution[:, None])) ** 2 + ) + distance_primal = squared_distance_primal.sqrt() + if lp.dual_solution is not None: + squared_distance_dual = torch.sum( + (y - torch.FloatTensor(lp.dual_solution[:, None])) ** 2 + ) + distance_dual = squared_distance_dual.sqrt() + distances_dual_list.append(distance_dual) + + distances_primal_list.append(distance_primal) + + distances_primal = torch.stack(distances_primal_list) + + mean_loss_primal = torch.mean(distances_primal) + increases_primal = torch.clamp_min( + distances_primal[1:] - distances_primal[:-1], 0 + ) + loss_primal = mean_loss_primal + self.coef_increase_primal * torch.mean( + increases_primal + ) + + if lp.dual_solution is not None: + distances_dual = torch.stack(distances_dual_list) + + mean_loss_dual = torch.mean(distances_dual) + increases_dual = torch.clamp_min( + distances_dual[1:] - distances_dual[:-1], 0 + ) + loss_dual = mean_loss_dual + self.coef_increase_dual * torch.mean( + increases_dual + ) + + else: + loss_dual = 0 + distances_dual = None + + loss = loss_primal + loss_dual + + return x, y, loss, distances_primal, distances_dual + + +def train( + net, + max_iter=1000, + outputs_folder="", + use_dual_solution=True, + nb_lp_per_batch=5, + nb_batch=1, + nb_new_batch=2, + lp_renewal_frequency=100000, + clip_grad_norm_threshold=None, + nb_test=5, + nb_max_iter_per_lp_train=20, + cheat_train=False, +): + + optimizer = torch.optim.Adam(net.parameters(), lr=0.01) + + test_lps = generate_random_lps(nb_test, get_dual_sol=use_dual_solution) + + test_losses_curve = [] + + fig_train_batch_visu = plt.figure() + ax_train_batch_visu = fig_train_batch_visu.add_subplot(111) + + fig_test_batch_visu = plt.figure() + ax_test_batch_visu = fig_test_batch_visu.add_subplot(111) + + all_train_lps = generate_random_lps( + nb_batch * nb_lp_per_batch, get_dual_sol=use_dual_solution + ) + + os.makedirs(os.path.join(outputs_folder, "train_primal")) + os.makedirs(os.path.join(outputs_folder, "train_dual")) + os.makedirs(os.path.join(outputs_folder, "test_primal")) + os.makedirs(os.path.join(outputs_folder, "test_dual")) + + for n_epoch in range(max_iter): + + if n_epoch % lp_renewal_frequency == 0: + nb_new_lps = nb_new_batch * nb_lp_per_batch + new_train_lps = generate_random_lps( + nb_new_lps, get_dual_sol=use_dual_solution + ) + + # remove the oldest lps, maybe should instead keep the hard problems + all_train_lps = all_train_lps[nb_new_lps:] + # add new lps + all_train_lps.extend(new_train_lps) + + for id_batch in range(nb_batch): + batch_lps = all_train_lps[ + nb_lp_per_batch * id_batch : nb_lp_per_batch * (id_batch + 1) + ] + optimizer.zero_grad() + losses = [] + all_train_distances_primal = [] + all_train_distances_dual = [] + + for lp in batch_lps: + x, y, mean_loss, distances_primal, distances_dual = net( + lp, + nb_max_iter=nb_max_iter_per_lp_train, + cheat=cheat_train, + beta=0, + std_y=0, + ) + all_train_distances_primal.append(distances_primal.detach().numpy()) + if use_dual_solution: + all_train_distances_dual.append(distances_dual.detach().numpy()) + losses.append(mean_loss) + + if id_batch == 0: + ax_train_batch_visu.clear() + ax_train_batch_visu.plot(np.column_stack(all_train_distances_primal)) + ax_train_batch_visu.set_ylim([0, 2.5]) + fig_train_batch_visu.savefig( + os.path.join( + outputs_folder, + f"train_primal/batch{id_batch}_epoch{n_epoch}_convergence_curves.png", + ) + ) + if use_dual_solution: + ax_train_batch_visu.clear() + ax_train_batch_visu.plot(np.column_stack(all_train_distances_dual)) + ax_train_batch_visu.set_ylim([0, 2.5]) + fig_train_batch_visu.savefig( + os.path.join( + outputs_folder, + f"train_dual/batch{id_batch}_epoch{n_epoch}_convergence_curves.png", + ) + ) + + train_loss = torch.mean(torch.stack(losses)) + train_loss.backward() + + if clip_grad_norm_threshold: + torch.nn.utils.clip_grad_norm_( + net.parameters(), clip_grad_norm_threshold, inf + ) + + optimizer.step() + + print( + f"epoch {n_epoch} batch {id_batch} train loss ={train_loss.detach():f} " + ) + + with torch.no_grad(): + test_losses = [] + mean_abs_diffs = [] + all_test_distances_primal = [] + all_test_distances_dual = [] + for lp in test_lps: + x, y, mean_loss, distances_primal, distances_dual = net( + lp, nb_max_iter=20, cheat=False, beta=0, std_y=0 + ) + all_test_distances_primal.append(distances_primal) + if use_dual_solution: + all_test_distances_dual.append(distances_dual) + mean_abs_diff = np.mean(np.abs(np.array(x) - lp.solution)) + test_losses.append(mean_loss) + mean_abs_diffs.append(mean_abs_diff) + test_loss = np.mean(test_losses) + test_mean_abs_diff = np.mean(mean_abs_diffs) + + ax_test_batch_visu.clear() + ax_test_batch_visu.plot(np.column_stack(all_test_distances_primal)) + ax_test_batch_visu.set_ylim([0, 2.5]) + fig_test_batch_visu.savefig( + os.path.join( + outputs_folder, f"test_primal/epoch{n_epoch}_convergence_curves.png" + ) + ) + if use_dual_solution: + ax_test_batch_visu.clear() + ax_test_batch_visu.plot(np.column_stack(all_test_distances_dual)) + ax_test_batch_visu.set_ylim([0, 2.5]) + fig_test_batch_visu.savefig( + os.path.join( + outputs_folder, + f"test_dual/epoch{n_epoch}_convergence_curves.png", + ) + ) + + test_losses_curve.append(test_loss) + print( + f"epoch {n_epoch} batch {id_batch} test_loss = {test_loss} test_mean_abs_diff ={test_mean_abs_diff:f} " + ) + + +if __name__ == "__main__": + np.random.seed(0) + outputs_folder = os.path.join( + os.path.dirname(__file__), + "deep_primal_dual_training", + datetime.datetime.now().strftime("%Y-%m-%d %H_%M_%S"), + ) + os.makedirs(outputs_folder) + torch.random.manual_seed(0) + use_dual_solution = False + has_bounds = not (use_dual_solution) + dcp = DeepPrimalDual(has_bounds=has_bounds, coef_increase_primal=3) + train(dcp, use_dual_solution=use_dual_solution, outputs_folder=outputs_folder) diff --git a/pysparselp/DualCoordinateAscent.py b/pysparselp/DualCoordinateAscent.py index 34c1470..9cd83ba 100644 --- a/pysparselp/DualCoordinateAscent.py +++ b/pysparselp/DualCoordinateAscent.py @@ -43,7 +43,7 @@ def dual_coordinate_ascent( callback_func=None, y_eq=None, y_ineq=None, - max_time=None, + max_duration=None, nb_iter_plot=1, ): """Solve LP using coordinate ascend in the dual. @@ -188,7 +188,7 @@ def exact_coordinate_line_search(a_ineq_col_i, b_ineq_i, c_bar): for i in list_i: if i % 100 == 0: elapsed = time.clock() - start - if (max_time is not None) and elapsed > max_time: + if (max_duration is not None) and elapsed > max_duration: timeout = True break @@ -235,7 +235,7 @@ def exact_coordinate_line_search(a_ineq_col_i, b_ineq_i, c_bar): for i in np.nonzero(grad_y_ineq)[0]: if i % 100 == 0: elapsed = time.clock() - start - if (max_time is not None) and elapsed > max_time: + if (max_duration is not None) and elapsed > max_duration: timeout = True break @@ -349,7 +349,7 @@ def exact_coordinate_line_search(a_ineq_col_i, b_ineq_i, c_bar): # y_ineq=np.maximum(y_ineq, 0) print("iter %d energy %f" % (niter, evaluate(y_eq, y_ineq))) - if (max_time is not None) and elapsed > max_time: + if (max_duration is not None) and elapsed > max_duration: timeout = True break niter += 1 diff --git a/pysparselp/DualGradientAscent.py b/pysparselp/DualGradientAscent.py index 7f3e844..a583a26 100644 --- a/pysparselp/DualGradientAscent.py +++ b/pysparselp/DualGradientAscent.py @@ -72,7 +72,7 @@ def dual_gradient_ascent( callback_func=None, y_eq=None, y_ineq=None, - max_time=None, + max_duration=None, nb_iter_plot=1, ): """Gradient ascent in the dual.""" @@ -237,7 +237,7 @@ def evaluate(y_eq, y_ineq): if callback_func is not None and niter % 100 == 0: callback_func(niter, x, 0, 0, elapsed, 0, 0) - if (max_time is not None) and elapsed > max_time: + if (max_duration is not None) and elapsed > max_duration: break niter += 1 diff --git a/pysparselp/SparseLP.py b/pysparselp/SparseLP.py index 15a958c..9c4c907 100644 --- a/pysparselp/SparseLP.py +++ b/pysparselp/SparseLP.py @@ -36,6 +36,7 @@ from .ADMM import lp_admm, lp_admm2 from .ADMMBlocks import lp_admm_block_decomposition +from .ChambollePockLineSearch import chambolle_pock_linesearch from .ChambollePockPPD import chambolle_pock_ppd from .DualCoordinateAscent import dual_coordinate_ascent from .DualGradientAscent import dual_gradient_ascent @@ -43,16 +44,18 @@ solving_methods = ( - "osqp", "mehrotra", - "scipy_simplex", - "scipy_interior_point", - "dual_coordinate_ascent", - "dual_gradient_ascent", "chambolle_pock_ppd", + "chambolle_pock_linesearch", "admm", "admm2", "admm_blocks", + "scipy_highs-ds", + "scipy_highs-ipm", + "scipy_highs", + "scipy_interior_point", + "dual_coordinate_ascent", + "dual_gradient_ascent", ) try: @@ -182,6 +185,7 @@ def __init__(self): self.equalityConstraintNames = [] self.inequalityConstraintNames = [] self.solution = None + self.dual_solution = None def max_constraint_violation(self, solution): types, lb, ub = self.get_variables_bounds() @@ -204,6 +208,7 @@ def max_constraint_violation(self, solution): return max_v def check_solution(self, solution, tol=1e-6): + assert solution.ndim == 1 types, lb, ub = self.get_variables_bounds() valid = True if lb is not None: @@ -367,13 +372,12 @@ def save_mps(self, filename): def save_ian_e_h_yen(self, folder): if self.b_lower is not None: - print( + raise ValueError( "self.b_lower is not None, you should convert your problem with convert_to_one_sided_inequality_system first" ) - raise + if not np.all(self.lower_bounds == 0): - print("lower bound constraint on variables should at 0") - raise + raise ValueError("lower bound constraint on variables should at 0") import os @@ -424,7 +428,7 @@ def add_variables_array( if isinstance(shape, type(0)): shape = (shape,) - nb_variables_added = np.prod(shape) + nb_variables_added = int(np.prod(shape)) indices = np.arange(nb_variables_added).reshape(shape) + self.nb_variables self.nb_variables = self.nb_variables + nb_variables_added @@ -573,7 +577,7 @@ def add_inequality_constraints( ) def add_soft_inequality_constraints( - self, cols, vals, coef_penalization, lower_bounds=None, upper_bounds=None, + self, cols, vals, coef_penalization, lower_bounds=None, upper_bounds=None ): """Add a set of "soft" inequalities terms to the problem in the form of sum_i abs(coef_penalization[i] * maximum(0, lower_bounds[i] - y[i] , y[i] - upper_bound[i]) ) @@ -674,9 +678,12 @@ def remove_fixed_variables(self): return m_change, shift def convert_to_slack_form(self): - """Convert to the form min_y c.t Ay=b y>=0 by adding slack variables and shift on x - the solution of the original problem is obtained using x = m_change*y+ shift with - y the solution of the new problem + """Convert to the form min_y c.ty Ay=b y>=0 by adding slack variables and shift on x + the solution of the original problem is obtained using + x = m_change*y+ shift + with + y the solution of the new problem + have a look at https://ocw.mit.edu/courses/sloan-school-of-management/15-053-optimization-methods-in-management-science-spring-2013/tutorials/MIT15_053S13_tut06.pdf """ self.convert_to_one_sided_inequality_system() @@ -912,6 +919,11 @@ def convert_to_all_inequalities(self): def convert_to_all_inequalities_without_bounds(self): """Convert to the form min c.t b_lower<=a_ineq*x<=b_upper by augmenting the size of a_ineq.""" + if self.b_lower is None: + self.b_lower = np.full((self.a_inequalities.shape[0]), -np.inf) + if self.b_upper is None: + self.b_upper = np.full((self.a_inequalities.shape[0]), np.inf) + self.convert_to_all_inequalities() non_free_ids = np.nonzero( ~(np.isinf(self.lower_bounds) & np.isinf(self.upper_bounds)) @@ -921,12 +933,37 @@ def convert_to_all_inequalities_without_bounds(self): (np.ones(nb_non_free_ids), (np.arange(nb_non_free_ids), non_free_ids)), (nb_non_free_ids, self.nb_variables), ) - self.a_inequalities = scipy.sparse.vstack((self.a_inequalities, eye_reduced)) + + self.a_inequalities = scipy.sparse.vstack( + (self.a_inequalities, eye_reduced) + ).tocsr() + self.b_lower = np.hstack((self.b_lower, self.lower_bounds[non_free_ids])) self.b_upper = np.hstack((self.b_upper, self.upper_bounds[non_free_ids])) self.lower_bounds.fill(-np.inf) self.upper_bounds.fill(np.inf) + def convert_to_single_inequalities_without_bounds(self): + """Convert to the form min c.t a_ineq*x<=b_upper by augmenting the size of a_ineq.""" + self.convert_to_all_inequalities_without_bounds() + self.convert_to_one_sided_inequality_system() + + def lexsort_constraints(self): + # reorder constraints in lexicographic order + if self.a_inequalities is not None: + row_order = np.lexsort(np.fliplr(self.a_inequalities.todense()).T).squeeze( + 0 + ) + self.a_inequalities = self.a_inequalities[row_order, :] + if self.b_upper is not None: + self.b_upper = self.b_upper[row_order] + if self.b_lower is not None: + self.b_lower = self.b_lower[row_order] + if self.a_equalities is not None: + row_order = np.lexsort(np.fliplr(self.a_equalities.todense()).T).squeeze(0) + self.a_inequalities = self.a_inequalities[row_order, :] + self.b_equalities = self.b_equalities[row_order] + def convert_to_cvxpy(self): if not (self.a_inequalities is None) and self.a_inequalities.shape[0] > 0: @@ -952,16 +989,15 @@ def convert_to_cvxpy(self): if np.all(np.isinf(self.lower_bounds)): pass elif np.any(np.isinf(self.lower_bounds)): - print("not code yet") - raise + raise BaseException("not code yet") + else: constraints.append(self.lower_bounds <= x) if np.all(np.isinf(self.upper_bounds)): pass elif np.any(np.isinf(self.upper_bounds)): - print("not code yet") - raise + raise BaseException("not code yet") else: constraints.append(x <= self.upper_bounds) @@ -970,16 +1006,14 @@ def convert_to_cvxpy(self): if np.all(np.isinf(self.b_upper)): pass elif np.any(np.isinf(self.b_upper)): - print("not yet coded") - raise + raise BaseException("not code yet") else: constraints.append(a_ineq * x <= self.b_upper) if self.b_lower is not None: if np.all(np.isinf(self.b_lower)): pass elif np.any(np.isinf(self.b_lower)): - print("not yet coded") - raise + raise BaseException("not code yet") else: constraints.append(self.b_lower <= a_ineq * x) if a_eq is not None: @@ -987,20 +1021,66 @@ def convert_to_cvxpy(self): prob = cvxpy.Problem(objective, constraints) return prob, x + def has_bounds(self): + return (not np.all(np.isinf(self.lower_bounds) & (self.lower_bounds < 0))) or ( + not np.all(np.isinf(self.upper_bounds) & (self.upper_bounds > 0)) + ) + + def all_bounded(self): + return not ( + np.any(np.isinf(self.lower_bounds)) or np.any(np.isinf(self.upper_bounds)) + ) + + def has_single_inequalities_without_bounds(self): + return not ( + self.has_bounds() + or (self.a_equalities is not None) + or (self.b_lower is not None) + ) + + def get_dual(self): + if not self.has_single_inequalities_without_bounds(): + raise BaseException( + "Please convert your problem using convert_to_single_inequalities_without_bounds" + ) + + # min c.x s.t. a_ineq*x<=b_upper + # = min_x (max_y (c.x + y*(a_ineq*x-b_upper) s.t y>=0)) + # = max_y (min_x (c.x + y*(a_ineq*x-b_upper)) s.t y>=0) + # = max_y (min_x (c.x + y*a_ineq*x-y * b_upper)) s.t y>=0 + # = max_y (min_x ((c+y*a_ineq)*x -y * b_upper)) s.t y>=0 + # = min_y (max_x (-(c+y*a_ineq)*x + y * b_upper)) s.t y>=0 + # = min_y y*b_upper s.t a_ineq.T * y= -c y>=0 + + lp_dual = SparseLP() + lp_dual.add_variables_array( + (self.a_inequalities.shape[0]), + costs=self.b_upper, + lower_bounds=0, + upper_bounds=None, + ) + lp_dual.add_equality_constraints_sparse( + self.a_inequalities.T, -self.costsvector + ) + return lp_dual + def solve( self, method="admm", get_timing=True, x0=None, nb_iter=10000, - max_time=None, + max_duration=None, callback_func=None, nb_iter_plot=10, plot_solution=None, ground_truth=None, ground_truth_indices=None, + method_options=None, + error_if_fail=False, ): - + if ground_truth_indices is None and ground_truth is not None: + ground_truth_indices = np.arange(ground_truth.size) if not (self.a_inequalities is None) and self.a_inequalities.shape[0] > 0: check_csr_matrix(self.a_inequalities) a_ineq = self.a_inequalities @@ -1040,6 +1120,10 @@ def scipy_call_back(solution, **kwargs): ) ) duration = time.clock() - start + if len(self.itrn_curve) == 0: + self.itrn_curve = [0] + else: + self.itrn_curve.append(self.itrn_curve[-1] + 1) self.opttime_curve.append(duration) self.pobj_curve.append(self.costsvector.dot(solution["x"].T)) maxv = self.max_constraint_violation(solution["x"]) @@ -1093,42 +1177,67 @@ def callback_func( plot_solution(niter, solution, is_active_variable=is_active_variable) if method not in solving_methods: - print("method %s not valid" % method) - print("avalaible method are") - for vmethod in solving_methods: - print(vmethod) - raise - if method in ["scipy_simplex", "scipy_interior_point"]: + raise BaseException( + f"method {method} not valid. Avalaible method are {', '.join(solving_methods)}" + ) + + if method.startswith("scipy_"): + force_dense = False if not (self.b_lower is None) and not ( np.all(np.isinf(self.b_lower) & (self.b_lower < 0)) ): - print( - "you need to convert your lp to a one side inequality system using convert_to_one_sided_inequality_system" - ) - raise + lp_one_sided_ineq = copy.deepcopy(self) + lp_one_sided_ineq.convert_to_one_sided_inequality_system() # removed fixed variables + a_ineq = lp_one_sided_ineq.a_inequalities.tocsc().tocoo() + + else: + lp_one_sided_ineq = self + if a_eq is None: a_eq = None b_eq = None else: - a_eq = a_eq.toarray() + if force_dense: + a_eq = a_eq.toarray() b_eq = b_eq + if a_ineq is None: + a_ineq = None + else: + if force_dense: + a_ineq = a_ineq.toarray() + method_map = { - "scipy_simplex": "simplex", "scipy_interior_point": "interior-point", + "scipy_highs-ds": "highs-ds", + "scipy_highs-ipm": "highs-ipm", + "scipy_highs": "highs", } + if "highs" in method: + callback = None + else: + callback = scipy_call_back + + bounds = np.column_stack((self.lower_bounds, self.upper_bounds)) + + if callback is None and ground_truth is not None: + scipy_call_back({"x": np.zeros_like(ground_truth)}) + sol = scipy.optimize.linprog( - self.costsvector, - A_ub=a_ineq.toarray(), - b_ub=self.b_upper, + c=self.costsvector, + A_ub=a_ineq, + b_ub=lp_one_sided_ineq.b_upper, A_eq=a_eq, b_eq=b_eq, - bounds=np.column_stack((self.lower_bounds, self.upper_bounds)), + bounds=bounds, method=method_map[method], - callback=scipy_call_back, + callback=callback, ) - # if not sol['success']: - # raise BaseException(sol['message']) + + if error_if_fail and not sol["success"]: + raise BaseException(sol["message"]) + if sol["success"] and callback is None: + scipy_call_back(sol) x = sol["x"] elif method == "mehrotra": @@ -1203,7 +1312,7 @@ def mehrotra_call_back(solution, niter, **kwargs): nb_iter=nb_iter, x0=x0, callback_func=callback_func, - max_time=max_time, + max_duration=max_duration, nb_iter_plot=nb_iter_plot, ) @@ -1221,7 +1330,7 @@ def mehrotra_call_back(solution, niter, **kwargs): nb_iter_plot=nb_iter_plot, x0=x0, callback_func=callback_func, - max_time=max_time, + max_duration=max_duration, ) elif method == "admm2": x = lp_admm2( @@ -1236,7 +1345,7 @@ def mehrotra_call_back(solution, niter, **kwargs): nb_iter=nb_iter, x0=x0, callback_func=callback_func, - max_time=max_time, + max_duration=max_duration, nb_iter_plot=nb_iter_plot, ) @@ -1281,12 +1390,49 @@ def this_back( theta=1, nb_max_iter=nb_iter, callback_func=this_back, - max_time=max_time, + max_duration=max_duration, save_problem=False, nb_iter_plot=nb_iter_plot, ) x = m_change1 * x - shift1 + elif method == "chambolle_pock_linesearch": + + lp2 = copy.deepcopy(self) + lp2.convert_to_single_inequalities_without_bounds() + + # lp2.lexsort_constraints() + + def this_call_back(x, y, niter, **kwargs): + self.itrn_curve.append(niter) + # use y instead of x because we are solving dual in chambolle_pock_linesearch + simplex_call_back(y) + + # solving the dual + # method="standard" + + options = { + "method": "standard", + "eps": 1e-15, + "tol": 1e-15, + "nmax": nb_iter, + } + if method_options is not None: + for k, v in method_options.items(): + options[k] = v + + options["max_duration"] = max_duration + options["callback"] = this_call_back + + sol = chambolle_pock_linesearch( + lp2.a_inequalities.T, -lp2.costsvector, lp2.b_upper, **options + ) + x = sol["y"] + + lp2.check_solution(x) + self.check_solution(x) + self.max_constraint_violation(x) + elif method == "dual_gradient_ascent": x, y_eq, y_ineq = dual_gradient_ascent( x=x0, @@ -1295,7 +1441,7 @@ def this_back( callback_func=callback_func, y_eq=None, y_ineq=None, - max_time=max_time, + max_duration=max_duration, nb_iter_plot=nb_iter_plot, ) elif method == "dual_coordinate_ascent": @@ -1332,7 +1478,7 @@ def this_back( callback_func=this_back, y_eq=None, y_ineq=None, - max_time=max_time, + max_duration=max_duration, nb_iter_plot=nb_iter_plot, ) x = m_change1 * x - shift1 @@ -1357,7 +1503,10 @@ def this_back( "check_termination": 1, "warm_start": False, } - + self.itrn_curve = [] + if ground_truth is not None: + self.itrn_curve.append(0) + simplex_call_back(np.zeros_like(ground_truth)) model = osqp.OSQP() model.setup( p, @@ -1370,11 +1519,11 @@ def this_back( res = model.solve() x = res.x simplex_call_back(x) - self.itrn_curve = [res.info.iter] + self.itrn_curve.append(res.info.iter) else: - print("unkown LP solver method " + method) - raise + raise ValueError("unkown LP solver method " + method) + elapsed = time.clock() - start if get_timing: diff --git a/pysparselp/examples/benchmark_methods.py b/pysparselp/examples/benchmark_methods.py new file mode 100644 index 0000000..b51c57d --- /dev/null +++ b/pysparselp/examples/benchmark_methods.py @@ -0,0 +1,71 @@ +"""Comparing different LP solver on a LP problem.""" +import matplotlib.pyplot as plt + +import numpy as np + + +def benchmark_methods( + lp, + solving_methods, + nb_iter_plot, + max_duration, + display, + solution=None, + solution_fig=None, + gt_solver="scipy_highs-ds", + display_solution_func=None, +): + if display: + solutions_fig = plt.figure() + fig_curves1 = plt.figure() + ax_curves1 = fig_curves1.add_subplot(111) + ax_curves1.set_xlabel("nb of iteration") + ax_curves1.set_ylabel("distance_to_ground_truth") + fig_curves2 = plt.figure() + ax_curves2 = fig_curves2.add_subplot(111) + ax_curves2.set_xlabel("duration") + ax_curves2.set_ylabel("distance_to_ground_truth") + + distance_to_ground_truth_curves = {} + ncol = 5 + nrow = np.ceil((len(solving_methods) + 1) / ncol) + + ground_truth, _ = lp.solve(method=gt_solver) + assert lp.check_solution(ground_truth) + if display and display_solution_func is not None: + ax = solutions_fig.add_subplot(nrow, ncol, 1, title=gt_solver) + display_solution_func(ax, ground_truth) + + for i, method in enumerate(solving_methods): + print("\n\n----------------------------------------------------------\n") + print(f"Solving LP using {method}") + + sol1, elapsed = lp.solve( + method=method, + get_timing=True, + nb_iter=100000, + max_duration=max_duration, + ground_truth=ground_truth, + plot_solution=None, + nb_iter_plot=nb_iter_plot, + ) + if display: + if len(lp.distance_to_ground_truth) > 0: + ax_curves1.semilogy( + lp.itrn_curve, lp.distance_to_ground_truth, label=method + ) + ax_curves2.semilogy( + lp.opttime_curve, lp.distance_to_ground_truth, label=method + ) + ax_curves1.legend() + ax_curves2.legend() + ax = solutions_fig.add_subplot(nrow, ncol, i + 2, title=method) + + if display_solution_func is not None: + display_solution_func(ax, sol1) + + distance_to_ground_truth_curves[method] = lp.distance_to_ground_truth + + if display: + plt.show() + return distance_to_ground_truth_curves diff --git a/pysparselp/examples/example_bipartite_matching.py b/pysparselp/examples/example_bipartite_matching.py index ac06b8e..1a92718 100644 --- a/pysparselp/examples/example_bipartite_matching.py +++ b/pysparselp/examples/example_bipartite_matching.py @@ -24,19 +24,19 @@ def run(): indices = lp.add_variables_array(cost.shape, 0, 1, cost) add_bipartite_constraint(lp, indices) - s = lp.solve(method="mehrotra", nb_iter=7, max_time=np.inf)[0] + s = lp.solve(method="mehrotra", nb_iter=7, max_duration=np.inf)[0] print(f"mehrotra final cost:{lp.costsvector.dot(s)}") - s = lp.solve(method="osqp", nb_iter=1000, max_time=np.inf)[0] + s = lp.solve(method="osqp", nb_iter=1000, max_duration=np.inf)[0] print(f" osqp final cost:{lp.costsvector.dot(s)}") s = lp.solve( - method="dual_coordinate_ascent", nb_iter=2000, max_time=40, nb_iter_plot=500 + method="dual_coordinate_ascent", nb_iter=2000, max_duration=40, nb_iter_plot=500 )[0] print(f"dual_coordinate_ascent final cost:{lp.costsvector.dot(s)}") s = lp.solve( - method="chambolle_pock_ppd", nb_iter=2000, max_time=10, nb_iter_plot=500 + method="chambolle_pock_ppd", nb_iter=2000, max_duration=10, nb_iter_plot=500 )[0] print(f"chambolle_pock_ppd final cost:{lp.costsvector.dot(s)}") diff --git a/pysparselp/examples/example_kmedians.py b/pysparselp/examples/example_kmedians.py index d64c6f3..47ef03a 100644 --- a/pysparselp/examples/example_kmedians.py +++ b/pysparselp/examples/example_kmedians.py @@ -43,7 +43,7 @@ def clustering(points, k, n_center_candidates): ) lp.add_inequality_constraints(columns, values, lower_bounds=None, upper_bounds=0) - s = lp.solve(method="admm", nb_iter=1000, max_time=np.inf, nb_iter_plot=500)[0] + s = lp.solve(method="admm", nb_iter=1000, max_duration=np.inf, nb_iter_plot=500)[0] print(lp.costsvector.dot(s)) x = s[labeling] diff --git a/pysparselp/examples/example_l1_svm.py b/pysparselp/examples/example_l1_svm.py index cd48660..e6ce96e 100644 --- a/pysparselp/examples/example_l1_svm.py +++ b/pysparselp/examples/example_l1_svm.py @@ -1,30 +1,27 @@ """Example using L1-regularized multi-class Support Vector Machine.""" -import matplotlib.pyplot as plt import numpy as np from pysparselp.SparseLP import SparseLP, solving_methods +from pysparselp.examples.benchmark_methods import benchmark_methods class L1SVM(SparseLP): """L1-regularized multi-class Support Vector Machine J. Zhu, S. Rosset, T. Hastie, and R. Tibshirani. 1-norm support vector machines. NIPS, 2004.""" def add_abs_penalization(self, indices, coef_penalization): - + """Add abs penalization on a set of variables.""" + # creating auxiliary variables that will be equal to the absolute values aux = self.add_variables_array(indices.size, upper_bounds=None, lower_bounds=0) - if np.isscalar(coef_penalization): assert coef_penalization > 0 self.set_costs_variables(aux, np.ones(aux.shape) * coef_penalization) - # allows a penalization that is different for each edge (could be dependent on an edge detector) else: assert coef_penalization.shape == aux.shape assert np.min(coef_penalization) >= 0 self.set_costs_variables(aux, np.ones(aux.shape) * coef_penalization) - # start by adding auxiliary variables - aux_ravel = aux.ravel() indices_ravel = indices.ravel() cols = np.column_stack((indices_ravel, aux_ravel)) @@ -34,6 +31,7 @@ def add_abs_penalization(self, indices, coef_penalization): self.add_inequality_constraints(cols, vals, lower_bounds=None, upper_bounds=0) def set_data(self, x, classes, nb_classes=None): + self.data = x nb_examples = x.shape[0] xh = np.hstack((x, np.ones((nb_examples, 1)))) assert x.shape[0] == len(classes) @@ -41,11 +39,11 @@ def set_data(self, x, classes, nb_classes=None): nb_classes = np.max(classes) + 1 nb_features = x.shape[1] - self.weightsIndices = self.add_variables_array( + self.weights_indices = self.add_variables_array( (nb_classes, nb_features + 1), None, None ) - self.add_abs_penalization(self.weightsIndices, 1) - self.epsilonsIndices = self.add_variables_array( + self.add_abs_penalization(self.weights_indices, 1) + self.epsilons_indices = self.add_variables_array( (nb_examples, 1), upper_bounds=None, lower_bounds=0, costs=1 ) e = np.ones((nb_examples, nb_classes)) @@ -53,31 +51,36 @@ def set_data(self, x, classes, nb_classes=None): # sum(x*weights[classes,:]),axis=1)[:,None]- x.dot(weights)+epsilon>e - cols1 = self.weightsIndices[classes, :] + cols1 = self.weights_indices[classes, :] vals1 = xh for k in range(nb_classes): keep = classes != k - cols2 = np.tile(self.weightsIndices[[k], :], [nb_examples, 1]) + cols2 = np.tile(self.weights_indices[[k], :], [nb_examples, 1]) vals2 = -xh - vals3 = np.ones(self.epsilonsIndices.shape) - cols3 = self.epsilonsIndices + vals3 = np.ones(self.epsilons_indices.shape) + cols3 = self.epsilons_indices vals = np.column_stack((vals1, vals2, vals3)) cols = np.column_stack((cols1, cols2, cols3)) self.add_inequality_constraints( cols[keep, :], vals[keep, :], lower_bounds=e[keep, k], upper_bounds=None ) + self.epsilons_indices + def train(self, method="mehrotra"): - sol1, elapsed = self.solve( + lp_sol, elapsed = self.solve( method=method, get_timing=True, nb_iter=2000, - max_time=np.inf, + max_duration=np.inf, plot_solution=None, ) - self.weights = sol1[self.weightsIndices] - marges = sol1[self.epsilonsIndices] + self.set_weights_from_lp_sol(lp_sol) + + def set_weights_from_lp_sol(self, lp_sol): + self.weights = lp_sol[self.weights_indices] + marges = lp_sol[self.epsilons_indices] self.activeSet = np.nonzero(marges > 1e-3)[0] def classify(self, x): @@ -87,12 +90,31 @@ def classify(self, x): classes = np.argmax(scores, axis=1) return classes + def display_result_on_train_data(self, ax, lp_sol): + self.set_weights_from_lp_sol(lp_sol) + classes2 = self.classify(self.data) + colors = ["r", "g", "b"] -def run(display=True): + for k in range(3): + ax.plot( + self.data[classes2 == k, 0], + self.data[classes2 == k, 1], + ".", + color=colors[k], + ) + ax.plot( + self.data[self.activeSet, 0], + self.data[self.activeSet, 1], + "ko", + markersize=10, + fillstyle="none", + ) + ax.axis("equal") + + +def example_problem(nb_classes=3, nb_examples=500, seed=1): + np.random.seed(seed) - np.random.seed(1) - nb_classes = 3 - nb_examples = 1000 x = np.random.rand(nb_examples, 2) xh = np.hstack((x, np.ones((nb_examples, 1)))) # plt.plot(x[:,0],x[:,1],'.') @@ -103,40 +125,43 @@ def run(display=True): scores = (weights.dot(xh.T)).T classes = np.argmax(scores, axis=1) - colors = ["r", "g", "b"] + return x, classes + +def benchmark(display=True): + x, classes = example_problem(nb_classes=3, nb_examples=500, seed=1) l1svm = L1SVM() l1svm.set_data(x, classes) - percent_valid = {} + solving_methods_list = list(solving_methods) - solving_methods_list.remove("mehrotra") # too slow - solving_methods_list.remove("scipy_simplex") solving_methods_list.remove("scipy_interior_point") solving_methods_list.remove("dual_gradient_ascent") # need to debug solving_methods_list.remove("dual_coordinate_ascent") # need to debug + solving_methods_list.remove("admm2") # lu factorization too long + + max_duration = 15 + nb_iter_plot = 100 + benchmark_methods( + l1svm, + solving_methods_list, + display_solution_func=l1svm.display_result_on_train_data, + max_duration=max_duration, + nb_iter_plot=nb_iter_plot, + display=display, + ) - for method in solving_methods_list: + +def run(display=True): + x, classes = example_problem(nb_classes=3, nb_examples=1000, seed=1) + l1svm = L1SVM() + l1svm.set_data(x, classes) + percent_valid = {} + for method in ["chambolle_pock_ppd", "admm", "admm2", "admm_blocks", "osqp"]: l1svm.train(method=method) classes2 = l1svm.classify(x) percent_valid[method] = 100 * np.mean(classes == classes2) - - if display: - colors = ["r", "g", "b"] - plt.figure() - - for k in range(3): - plt.plot(x[classes2 == k, 0], x[classes2 == k, 1], ".", color=colors[k]) - plt.plot( - x[l1svm.activeSet, 0], - x[l1svm.activeSet, 1], - "ko", - markersize=10, - fillstyle="none", - ) - plt.axis("equal") - - print("done") - plt.show() + if display: + l1svm.display_result_on_train_data return percent_valid diff --git a/pysparselp/examples/example_pott_segmentation.py b/pysparselp/examples/example_pott_segmentation.py index 24124e9..cf0ca82 100644 --- a/pysparselp/examples/example_pott_segmentation.py +++ b/pysparselp/examples/example_pott_segmentation.py @@ -1,12 +1,9 @@ """Example using a pott image model that can be exactly solved with graphcut.""" -import matplotlib.pyplot as plt - -import maxflow # pip install PyMaxflow - import numpy as np from pysparselp.SparseLP import SparseLP, solving_methods +from pysparselp.examples.benchmark_methods import benchmark_methods class ImageLP(SparseLP): @@ -50,6 +47,12 @@ def add_pott_model(self, indices, coef_penalization): self.add_pott_horizontal(indices, coef_penalization) self.add_pott_vertical(indices, coef_penalization) + def set_pixel_indices(self, indices): + self.pixel_indices = indices + + def display_solution(self, ax, sol): + ax.imshow(sol[self.pixel_indices].squeeze(axis=2)) + def build_linear_program(image_size, coef_potts, coef_mul): nb_labels = 1 @@ -65,134 +68,39 @@ def build_linear_program(image_size, coef_potts, coef_mul): ) coef_potts = round(coef_potts * coef_mul) - g = maxflow.Graph[int](0, 0) - nodeids = g.add_grid_nodes(unary_terms.shape) - - alpha = coef_potts - g.add_grid_edges(nodeids, alpha) - # Add the terminal edges. - g.add_grid_tedges(nodeids, unary_terms * 0, unary_terms) - - print("calling maxflow") - g.maxflow() - sgm = g.get_grid_segments(nodeids) - img2 = np.int_(np.logical_not(sgm)) - plt.imshow(img2[:, :, 0], cmap=plt.cm.gray, interpolation="nearest") - lp = ImageLP() indices = lp.add_variables_array( shape=size_image, lower_bounds=0, upper_bounds=1, costs=unary_terms / coef_mul ) - - ground_truth = img2 - ground_truth_indices = indices + lp.set_pixel_indices(indices) lp.add_pott_model(indices, coef_potts / coef_mul) - return lp, ground_truth, ground_truth_indices, unary_terms - + return lp -def run(display=True, image_size=50, coef_mul=500, coef_potts=0.5, max_time=150): - lp, ground_truth, ground_truth_indices, unary_terms = build_linear_program( - image_size, coef_potts, coef_mul - ) +def run( + display=True, + image_size=50, + coef_mul=500, + coef_potts=0.5, + max_duration=5, + nb_iter_plot=100, +): - print("solving") - - if display: - fig = plt.figure() - ax_image = fig.add_subplot(111) - im = ax_image.imshow( - unary_terms[:, :, 0] / coef_mul, - cmap=plt.cm.Greys_r, - interpolation="nearest", - vmin=0, - vmax=1, - ) - fig_curves1 = plt.figure() - ax_curves1 = fig_curves1.add_subplot(111) - ax_curves1.set_xlabel("nb of iteration") - ax_curves1.set_ylabel("distance_to_ground_truth") - fig_curves2 = plt.figure() - ax_curves2 = fig_curves2.add_subplot(111) - ax_curves2.set_xlabel("duration") - ax_curves2.set_ylabel("distance_to_ground_truth") - - def plot_solution(niter, solution, is_active_variable=None): - image = solution[ground_truth_indices] - # imwrite('ter%05d.png'%niter,solution[indices][:,:,0]) - # imwrite('diff_iter%05d.png'%niter,np.diff(solution[indices][:,:,0])) - im.set_array(image[:, :, 0]) - # im.set_array(np.diff(image[:,:,0])) - plt.draw() - - if display: - fig = plt.figure() - ax = fig.add_subplot(2, 5, 1, title="graph cut") - ax.imshow(ground_truth[:, :, 0], cmap=plt.cm.Greys_r, interpolation="none") - ax.axis("off") - - # simplex much too slow for images larger than 20 by 20 - # LP2=copy.deepcopy(LP) - # LP2.convert_to_one_sided_inequality_system() - # sol1,elapsed=LP2.solve(method='ScipyLinProg',force_integer=False,get_timing=True,nb_iter=100,max_time=10,ground_truth=ground_truth,ground_truth_indices=indices,plot_solution=None) + lp = build_linear_program(image_size, coef_potts, coef_mul) solving_methods2 = list(solving_methods) - - for m in ["scipy_simplex", "scipy_interior_point"]: - solving_methods2.remove(m) - distance_to_ground_truth_curves = {} - - for i, method in enumerate(solving_methods2): - print( - "\n\n----------------------------------------------------------\nSolving LP using %s" - % method - ) - - sol1, elapsed = lp.solve( - method=method, - get_timing=True, - nb_iter=100000, - max_time=max_time, - ground_truth=ground_truth, - ground_truth_indices=ground_truth_indices, - plot_solution=None, - nb_iter_plot=500, - ) - if display: - if len(lp.distance_to_ground_truth) > 0: - ax_curves1.loglog( - lp.itrn_curve, lp.distance_to_ground_truth, label=method - ) - ax_curves2.loglog( - lp.opttime_curve, lp.distance_to_ground_truth, label=method - ) - ax_curves1.legend() - plt.gca().invert_yaxis() - ax_curves2.legend() - ax = fig.add_subplot(2, 5, i + 2, title=method) - ax.imshow( - sol1[ground_truth_indices][:, :, 0], - cmap=plt.cm.Greys_r, - interpolation="none", - vmin=0, - vmax=1, - ) - ax.axis("off") - plt.draw() - - distance_to_ground_truth_curves[method] = lp.distance_to_ground_truth - - if display: - plt.tight_layout() - # plt.figure() - # plt.plot(LP.itrn_curve,LP.dopttime_curve,'g',label='admm') - # plt.draw() - # plt.show() - print("done") - plt.show() - + solving_methods2.remove("scipy_interior_point") # too slow + + distance_to_ground_truth_curves = benchmark_methods( + lp, + solving_methods2, + display_solution_func=lp.display_solution, + max_duration=max_duration, + nb_iter_plot=nb_iter_plot, + display=display, + ) return distance_to_ground_truth_curves diff --git a/pysparselp/examples/example_sparse_inv_covariance.py b/pysparselp/examples/example_sparse_inv_covariance.py index 75a64d3..6d5b1e6 100644 --- a/pysparselp/examples/example_sparse_inv_covariance.py +++ b/pysparselp/examples/example_sparse_inv_covariance.py @@ -75,7 +75,7 @@ def run(display=True): ) lp.add_abs_penalization(ids, 1) lp.convert_to_one_sided_inequality_system() - x = lp.solve(method="mehrotra", nb_iter=6000, max_time=np.inf)[0] + x = lp.solve(method="mehrotra", nb_iter=6000, max_duration=np.inf)[0] print(lp.pobj_curve) # x=LP.solve(method='chambolle_pock_ppd')[0] lp_prec_ = x[ids] diff --git a/pysparselp/netlib.py b/pysparselp/netlib.py index c1891c9..16d23a5 100644 --- a/pysparselp/netlib.py +++ b/pysparselp/netlib.py @@ -71,12 +71,3 @@ def get_problem(problem_name): lp_dict = mps_parser(file_lp, f_sol) return lp_dict - - -if __name__ == "__main__": - - filename_lp = "./data/netlib/AFIRO.SIF" - filename_sol = "./data/perPlex/afiro.txt" - file_lp = open(filename_lp, "r") - fsol = open(filename_sol, "r") - LP = mps_parser(file_lp, fsol) diff --git a/pysparselp/randomLP.py b/pysparselp/randomLP.py index 6a70423..50dea9c 100644 --- a/pysparselp/randomLP.py +++ b/pysparselp/randomLP.py @@ -1,118 +1,120 @@ """Module to generate random LP problems.""" -import copy - -import matplotlib.pyplot as plt import numpy as np -import scipy.sparse +from pysparselp.SparseLP import SparseLP, solving_methods +from pysparselp.tools import compare_methods -from . import SparseLP, solving_methods +import scipy.sparse def rand_sparse(shape, sparsity): if isinstance(shape, tuple) or isinstance(shape, list): return ( np.round(np.random.randn(*shape) * 100) - * (np.random.rand(*shape) < sparsity) + * (np.random.rand(*shape) < (1 - sparsity)) / 100 ) else: return ( np.round(np.random.randn(shape) * 100) - * (np.random.rand(shape) < sparsity) + * (np.random.rand(shape) < (1 - sparsity)) / 100 ) -def generate_random_lp(nbvar, n_eq, n_ineq, sparsity): +def generate_random_lp(nbvar, n_eq, n_ineq, sparsity, tol=1e-10, seed=None): # maybe could have a look at https://www.jstor.org/stable/3689906?seq=1#page_scan_tab_contents # https://deepblue.lib.umich.edu/bitstream/handle/2027.42/3549/bam8969.0001.001.pdf - feasible_x = rand_sparse(nbvar, sparsity=1) - - if n_ineq > 0: - while True: # make sure the matrix is not empty - a_ineq = scipy.sparse.csr_matrix(rand_sparse((n_ineq, nbvar), sparsity)) + scipy_succeed = False + if seed is not None: + np.random.seed(seed) + + while not scipy_succeed: + feasible_x = rand_sparse(nbvar, sparsity=0) + + if n_ineq > 0: + while True: # make sure the matrix is not empty + a_ineq = scipy.sparse.csr_matrix(rand_sparse((n_ineq, nbvar), sparsity)) + keep = ( + (a_ineq != 0).dot(np.ones(nbvar)) + ) >= 2 # keep only rows with at least two non zeros values + if np.sum(keep) >= 1: + break + bmin = a_ineq.dot(feasible_x) + b_upper = ( + np.ceil((bmin + abs(rand_sparse(n_ineq, sparsity))) * 1000) / 1000 + ) # make v feasible + b_lower = None # bmin-abs(rand_sparse(n_ineq,sparsity)) + a_ineq = a_ineq[keep, :] + b_upper = b_upper[keep] + + costs = rand_sparse(nbvar, sparsity=0) + + t = rand_sparse(nbvar, sparsity=0) + lower_bounds = feasible_x + np.minimum(0, t) + upper_bounds = feasible_x + np.maximum(0, t) + + lp = SparseLP() + lp.add_variables_array( + nbvar, lower_bounds=lower_bounds, upper_bounds=upper_bounds, costs=costs + ) + if n_eq > 0: + a_eq = scipy.sparse.csr_matrix(rand_sparse((n_eq, nbvar), sparsity)) + b_eq = a_eq.dot(feasible_x) keep = ( - (a_ineq != 0).dot(np.ones(nbvar)) + (a_eq != 0).dot(np.ones(nbvar)) ) >= 2 # keep only rows with at least two non zeros values - if np.sum(keep) >= 1: - break - bmin = a_ineq.dot(feasible_x) - b_upper = ( - np.ceil((bmin + abs(rand_sparse(n_ineq, sparsity))) * 1000) / 1000 - ) # make v feasible - b_lower = None # bmin-abs(rand_sparse(n_ineq,sparsity)) - a_ineq = a_ineq[keep, :] - b_upper = b_upper[keep] - - costs = rand_sparse(nbvar, sparsity=1) - - t = rand_sparse(nbvar, sparsity=1) - lower_bounds = feasible_x + np.minimum(0, t) - upper_bounds = feasible_x + np.maximum(0, t) - - lp = SparseLP() - lp.add_variables_array( - nbvar, lower_bounds=lower_bounds, upper_bounds=upper_bounds, costs=costs + a_eq = a_eq[keep, :] + b_eq = b_eq[keep] + if a_eq.indices.size > 0: + lp.add_equality_constraints_sparse(a_eq, b_eq) + if n_ineq > 0 and a_ineq.indices.size > 0: + lp.add_inequality_constraints_sparse(a_ineq, b_lower, b_upper) + + assert lp.check_solution(feasible_x) + try: + scipy_sol_interior_point, elapsed = lp.solve( + method="scipy_highs-ds", + get_timing=True, + nb_iter=100000, + error_if_fail=True, + ) + scipy_sol_revised_simplex, elapsed = lp.solve( + method="scipy_highs-ipm", + get_timing=True, + nb_iter=100000, + error_if_fail=True, + ) + max_diff = np.max(abs(scipy_sol_revised_simplex - scipy_sol_interior_point)) + if max_diff < 1e-8: + scipy_succeed = True + else: + print( + f"interior point and simplex solution differ too much (max diff= {max_diff}), generating new problem" + ) + except BaseException: + scipy_succeed = False + print("could not solve with scipy, generating new problem") + + return lp, feasible_x, scipy_sol_revised_simplex + + +def _main(display=True): + + lp, v, scipy_sol = generate_random_lp( + nbvar=10, n_eq=1, n_ineq=10, sparsity=0.8, seed=0 ) - if n_eq > 0: - a_eq = scipy.sparse.csr_matrix(rand_sparse((n_eq, nbvar), sparsity)) - b_eq = a_eq.dot(feasible_x) - keep = ( - (a_eq != 0).dot(np.ones(nbvar)) - ) >= 2 # keep only rows with at least two non zeros values - a_eq = a_eq[keep, :] - b_eq = b_eq[keep] - if a_eq.indices.size > 0: - lp.add_equality_constraints_sparse(a_eq, b_eq) - if n_ineq > 0 and a_ineq.indices.size > 0: - lp.add_inequality_constraints_sparse(a_ineq, b_lower, b_upper) - - assert lp.check_solution(feasible_x) - return lp, feasible_x - -if __name__ == "__main__": - plt.ion() + solving_methods2 = list(solving_methods) + solving_methods2.remove("dual_gradient_ascent") - lp, v = generate_random_lp(nbvar=30, n_eq=1, n_ineq=30, sparsity=0.2) - lp2 = copy.deepcopy(lp) - lp2.convert_to_one_sided_inequality_system() - scipy_sol, elapsed = lp2.solve( - method="scipy_linprog", force_integer=False, get_timing=True, nb_iter=100000 + compare_methods( + lp, solving_methods2, ground_truth=scipy_sol, display=True, max_duration=10 ) - cost_scipy = scipy_sol.dot(lp2.costsvector.T) - maxv = lp2.max_constraint_violation(scipy_sol) - if maxv > 1e-8: - print("not expected") - raise - - ground_truth = scipy_sol - solving_methods2 = list(set(solving_methods) - set(["dual_gradient_ascent"])) - - f, axarr = plt.subplots(3, sharex=True) - axarr[0].set_title("mean absolute distance to solution") - axarr[1].set_title("maximum constraint violation") - axarr[2].set_title("difference with optimum value") - max_time = 2 - for method in solving_methods2: - sol1, elapsed = lp2.solve( - method=method, max_time=max_time, ground_truth=ground_truth - ) - axarr[0].semilogy( - lp2.opttime_curve, - np.maximum(lp2.distance_to_ground_truth, 1e-18), - label=method, - ) - axarr[1].semilogy( - lp2.opttime_curve, np.maximum(lp2.max_violated_constraint, 1e-18) - ) - axarr[2].semilogy( - lp2.opttime_curve, np.maximum(lp2.pobj_curve - cost_scipy, 1e-18) - ) - axarr[0].legend() - plt.show() - print("done") + + +if __name__ == "__main__": + _main() diff --git a/pysparselp/tools.py b/pysparselp/tools.py index c76ec9f..a6a830c 100644 --- a/pysparselp/tools.py +++ b/pysparselp/tools.py @@ -124,6 +124,9 @@ def convert_to_standard_form_with_bounds( epsilon0 = a_ineq * x0 x0 = np.hstack((x0, epsilon0)) c = np.hstack((c, np.zeros(ni))) + else: + a_eq2 = a_eq + b_eq2 = beq return c, a_eq2, b_eq2, lb, ub, x0 @@ -309,3 +312,57 @@ def precondition_lp_right(c, a_eq, beq, lb, ub, x0, alpha=2): a_eq2.__dict__["blocks"] = a_eq.blocks return r, c2, a_eq2, b_eq2, lb2, ub2, x02 + + +def compare_methods( + lp, solving_methods, ground_truth=None, display=True, max_duration=2 +): + if display: + import matplotlib.pyplot as plt + + if ground_truth is None: + scipy_sol, elapsed = lp.solve( + method="scipy_interior_point", get_timing=True, nb_iter=100000 + ) + maxv = lp.max_constraint_violation(scipy_sol) + if maxv > 1e-8: + print("not expected") + raise + ground_truth = scipy_sol + + cost_ground_truth = ground_truth.dot(lp.costsvector.T) + + if display: + f, ax_arr = plt.subplots(3, sharex=True) + ax_arr[0].set_title("mean absolute distance to solution") + ax_arr[1].set_title("maximum constraint violation") + ax_arr[2].set_title("difference with optimum value") + + summary = ["method final max viol dist to gt "] + for method in solving_methods: + sol1, elapsed = lp.solve( + method=method, max_duration=max_duration, ground_truth=ground_truth + ) + if display: + ax_arr[0].semilogy( + lp.opttime_curve, + np.maximum(lp.distance_to_ground_truth, 1e-18), + label=method, + ) + ax_arr[1].semilogy( + lp.opttime_curve, np.maximum(lp.max_violated_constraint, 1e-18) + ) + ax_arr[2].semilogy( + lp.opttime_curve, np.maximum(lp.pobj_curve - cost_ground_truth, 1e-18) + ) + ax_arr[0].legend() + ax_arr[2].set_xlabel("duration in seconds") + summary.append( + f"{method:26s} {lp.pobj_curve[-1]:9.2e} {lp.max_violated_constraint[-1]:9.2e} {lp.distance_to_ground_truth[-1]:9.2e}" + ) + + for s in summary: + print(s) + + if display: + plt.show() diff --git a/python_activate.bat b/python_activate.bat new file mode 100644 index 0000000..e5f780e --- /dev/null +++ b/python_activate.bat @@ -0,0 +1 @@ +python_venv\Scripts\activate \ No newline at end of file diff --git a/python_create_venv.bat b/python_create_venv.bat new file mode 100644 index 0000000..7ecf052 --- /dev/null +++ b/python_create_venv.bat @@ -0,0 +1,6 @@ +pip install virtualenv +python -m venv python_venv +.\python_venv\scripts\python.exe -m pip install --upgrade pip +.\python_venv\scripts\pip.exe install torch===1.4.0 torchvision===0.5.0 -f https://download.pytorch.org/whl/torch_stable.html +.\python_venv\scripts\pip.exe install -r requirements.txt +.\python_venv\scripts\pip.exe install -e . diff --git a/readme.md b/readme.md index fa3428a..b573ccf 100644 --- a/readme.md +++ b/readme.md @@ -10,7 +10,7 @@ The different algorithms that are implemented here are documented in the [pdf](. * a dual coordinate ascent method with exact line search * a dual gradient ascent with exact line search -* a first order primal-dual algorithm adapted from chambolle pock [2] +* first order primal-dual algorithms adapted from chambolle pock [2] * three methods based on the Alternating Direction Method of Multipliers [3] **Note** These methods are not meant to be efficient methods to solve generic linear programs. They are simple and quite naive methods I implemented while exploring different possibilities to solve very large sparse linear programs that are too big to be solved using the standard simplex method or standard interior point methods. @@ -199,8 +199,10 @@ In order to monitor convergence rates, the exact solutions of these problems are from pysparselp.test_netlib import test_netlib test_netlib('SC50A') -![curves](./images/libnetSC50A.png) -Note: since august 2017, numpy files containing the netlib examples are provided with scipy [here](https://github.com/scipy/scipy/tree/master/benchmarks/benchmarks/linprog_benchmark_files) + +![curves](./images/curves_SC50B.svg) +Note: since august 2017, numpy files containing the netlib examples are provided with scipy [here] (https://github.com/scipy/scipy/tree/master/benchmarks/benchmarks/linprog_benchmark_files) + ## Random problems @@ -209,8 +211,7 @@ Random sparse LP problem can be generate using code in *randomLP.py*. The approa # To Do * translate from Matlab to python the ADMM methods from [https://github.com/nmchaves/admm-for-lp](https://github.com/nmchaves/admm-for-lp) -* translate from ùMatlab to python some adaptive ADMM methods from https://github.com/nightldj/admm_release -* test mtlab implementatoin of chambolle pock methods with linesearch applied to lp from [here](https://github.com/xiamengqi2012/ChambollePockLinesearch) and translate to python +* translate from Matlab to python some adaptive ADMM methods from https://github.com/nightldj/admm_release * add automatic constraint checking if we provide a feasible solution from the beginning. It will help debugging constraints. * convert to python the matlab implementation of the LP solver based on improved version of champolle-pock called [Adaptive Primal-Dual Hybrid Gradient Methods](https://arxiv.org/abs/1305.0546) available [here](https://www.cs.umd.edu/~tomg/projects/pdhg/) * create a cython binding for LPsparse [1] using scipy.sparse matrices for the interface and adding the possibility to compute the convergence curve by providing the problem known solution to the solver or by adding the possibility to define a callback to a python function. @@ -248,7 +249,7 @@ Random sparse LP problem can be generate using code in *randomLP.py*. The approa * [Joptimize](http://www.joptimizer.com/linearProgramming.html) implemented in Java. Appache licence * [PCx](http://pages.cs.wisc.edu/~swright/PCx/) PCx is an interior-point predictor-corrector linear programming package. Code available here https://github.com/lpoo/PCx. Free but to public domain. Binaries provided for Linux only. * [DSDP](http://www.mcs.anl.gov/hs/software/DSDP/) solve semi-definite programs, which are more general than linear programs. It uses the sparsity of the problem and might still be competitive to solve sparse linear programs. Can be called from python through [cvxopt](http://cvxopt.org/)ms. - +* [PDHD](https://www.cs.umd.edu/~tomg/projects/pdhg/). Chambolle-Pock method with adaptive stepsize selection rules. Matlab code. Solve several type of problem including linear programs # References [1] *Sparse Linear Programming via Primal and Dual Augmented Coordinate Descent* Ian En-Hsu Yen, Kai Zhong, Cho-Jui Hsieh, Pradeep K Ravikumar, Inderjit S Dhillon , NIPS 2015. [code](http://ianyen.site/LPsparse/) diff --git a/requirements.txt b/requirements.txt index 8b2b60c..443a593 100644 --- a/requirements.txt +++ b/requirements.txt @@ -7,9 +7,10 @@ flake8-import-order==0.18.1 matplotlib==3.1.1 numpy==1.18.2 osqp==0.6.1 -PyMaxflow==1.2.12 scikit-learn==0.22.2 -scipy==1.4.1 +scipy==1.6.0 +pytest==6.2.2 +cache_to_disk==0.0.9 diff --git a/tests/convert_netlib_mat.py b/tests/convert_netlib_mat.py new file mode 100644 index 0000000..c86573f --- /dev/null +++ b/tests/convert_netlib_mat.py @@ -0,0 +1,24 @@ +"""conversion of netlib mps file to matlab mat file to be able to test matlab lp solvers""" +from pysparselp.netlib import get_problem + +import scipy.io + +if __name__ == "__main__": + + problems = [ + "AFIRO", + "SC105", + "ADLITTLE", + "SC50B", + "SC50A", + "KB2", + "ADLITTLE", + "SCAGR7", + "PEROLD", + "AGG2", + ] + for name in problems: + + LP = get_problem(name) + + scipy.io.savemat(f"{name}.mat", LP) diff --git a/tests/netlib_curves_SC50B.json 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"scipy_interior_point": [ + 82.78410416666667, + 80.53964414862612, + 54.62006578659811, + 40.04853734933933, + 26.417695757502155, + 20.76381883241098, + 11.947199440359439, + 5.154730215818539, + 0.3316479057014419, + 0.0002559643919182175, + 1.2798267186771758e-08 + ], + "osqp": [ + 83.78410416666667, + 3.885780586188048e-14 + ] +} \ No newline at end of file diff --git a/tests/test_l1_svm.py b/tests/test_l1_svm.py index ce0b67a..3f29e5c 100644 --- a/tests/test_l1_svm.py +++ b/tests/test_l1_svm.py @@ -21,8 +21,15 @@ def test_example_l1_svm(update_results=False): with open(curves_json_file, "r") as f: percent_valid_expected = json.load(f) + list_failed = [] for k, v1 in percent_valid_expected.items(): v2 = percent_valid[k] + + if not v1 == v2: + list_failed.append(k) + + if len(list_failed) > 0: + raise BaseException(f"Results changed for method(s): {', '.join(list_failed)}") assert v1 == v2 diff --git a/tests/test_netlib.py b/tests/test_netlib.py index bc80c5f..d19518a 100644 --- a/tests/test_netlib.py +++ b/tests/test_netlib.py @@ -16,30 +16,55 @@ __folder__ = os.path.dirname(__file__) -def solve_netlib(problem_name, display=False, max_time_seconds=30): - +def load_problem(problem_name): lp_dict = get_problem(problem_name) ground_truth = lp_dict["solution"] lp = SparseLP() nbvar = len(lp_dict["cost_vector"]) + lp.add_variables_array( nbvar, lower_bounds=lp_dict["lower_bounds"], - upper_bounds=np.minimum(lp_dict["upper_bounds"], np.max(ground_truth) * 2), + upper_bounds=lp_dict["upper_bounds"], costs=lp_dict["cost_vector"], ) lp.add_equality_constraints_sparse(lp_dict["a_eq"], lp_dict["b_eq"]) lp.add_inequality_constraints_sparse( lp_dict["a_ineq"], lp_dict["b_lower"], lp_dict["b_upper"] ) + return lp, ground_truth + + +def run_method(problem_name, method, max_duration_seconds, method_options): + lp, ground_truth = load_problem(problem_name) + lp2 = copy.deepcopy(lp) + sol1, elapsed = lp2.solve( + method=method, + get_timing=True, + nb_iter=5000000, + max_duration=max_duration_seconds, + ground_truth=copy.deepcopy(ground_truth), + ground_truth_indices=np.arange(len(ground_truth)), + plot_solution=None, + nb_iter_plot=500, + method_options=method_options, + ) + return lp2 + + +def solve_netlib(problem_name, display=False, max_duration_seconds=30): + lp, ground_truth = load_problem(problem_name) print("solving") + if display: - f, ax_arr = plt.subplots(3, sharex=True) + fig, ax_arr = plt.subplots(3, sharex=True) + fig.set_size_inches(15, 10) + fig.suptitle(problem_name) ax_arr[0].set_title("mean absolute distance to solution") ax_arr[1].set_title("maximum constraint violation") - ax_arr[2].set_title("difference with optimum value") + ax_arr[2].set_title("absolute difference with optimum value") lp2 = copy.deepcopy(lp) lp2.convert_to_one_sided_inequality_system() @@ -51,33 +76,52 @@ def solve_netlib(problem_name, display=False, max_time_seconds=30): # testing our methods - solving_methods2 = solving_methods + solving_methods2 = list(solving_methods) + for method in ["dual_coordinate_ascent", "dual_gradient_ascent"]: + solving_methods2.remove(method) + + all_method_options_list = {} + all_method_options_list["chambolle_pock_linesearch"] = { + method: {"method": method} + for method in ("standard", "xyseparate", "without_linesearch") + } + # solving_methods2=['mehrotra'] distance_to_ground_truth = {} for method in solving_methods2: - print( - "\n\n----------------------------------------------------------\nSolving LP using %s" - % method - ) - sol1, elapsed = lp.solve( - method=method, - get_timing=True, - nb_iter=1000000, - max_time=max_time_seconds, - ground_truth=ground_truth, - ground_truth_indices=np.arange(len(ground_truth)), - plot_solution=None, - nb_iter_plot=500, - ) - distance_to_ground_truth[method] = lp.distance_to_ground_truth - if display: - ax_arr[0].semilogy( - lp.opttime_curve, lp.distance_to_ground_truth, label=method + + if method in all_method_options_list: + method_options_list = all_method_options_list[method] + else: + method_options_list = {"default": None} + + for options_name, method_options in method_options_list.items(): + + if method in all_method_options_list: + full_name = f"{method} {options_name}" + else: + full_name = method + + lp = run_method(problem_name, method, max_duration_seconds, method_options) + + print( + f"\n\n----------------------------------------------------------\nSolving LP using {full_name}" ) - ax_arr[1].semilogy(lp.opttime_curve, lp.max_violated_constraint) - ax_arr[2].semilogy(lp.opttime_curve, lp.pobj_curve - cost_gt) - ax_arr[0].legend() - plt.show() + + distance_to_ground_truth[full_name] = lp.distance_to_ground_truth + if display: + ax_arr[0].semilogy( + lp.opttime_curve, lp.distance_to_ground_truth, label=full_name + ) + ax_arr[0].set_xlabel("duration in seconds") + ax_arr[0].set_xlim([0, max_duration_seconds * 1.5]) + ax_arr[1].semilogy(lp.opttime_curve, lp.max_violated_constraint) + ax_arr[1].set_xlabel("duration in seconds") + ax_arr[2].semilogy(lp.opttime_curve, np.abs(lp.pobj_curve - cost_gt)) + ax_arr[2].set_xlabel("duration in seconds") + ax_arr[0].legend(loc="upper right") + if display: + fig.savefig(os.path.join(__folder__, f"curves_{problem_name}.svg")) print("done") return distance_to_ground_truth @@ -87,18 +131,19 @@ def trim_length(a, b): return a[:min_len], b[:min_len] -def test_netlib( +def generic_test_netlib( pb_names=None, - max_time_seconds: int = 10, + max_duration_seconds: int = 15, update_results: bool = False, display: bool = False, + tol: float = 1e-5, ): - if pb_names is None: - pb_names = ["SC105"] + if isinstance(pb_names, str): + raise BaseException("you should provide a list of strings") for pb_name in pb_names: distance_to_ground_truth_curves = solve_netlib( - pb_name, display=False, max_time_seconds=max_time_seconds + pb_name, display=display, max_duration_seconds=max_duration_seconds ) curves_json_file = os.path.join(__folder__, f"netlib_curves_{pb_name}.json") @@ -109,22 +154,41 @@ def test_netlib( with open(curves_json_file, "r") as f: distance_to_ground_truth_curves_expected = json.load(f) - for k, v1 in distance_to_ground_truth_curves_expected.items(): - v2 = distance_to_ground_truth_curves[k] + list_failed = [] + + for k, v1 in distance_to_ground_truth_curves.items(): + v2 = distance_to_ground_truth_curves_expected[k] tv1, tv2 = trim_length(v1, v2) + if np.all(np.isnan(v1)): + assert np.all(np.isnan(v2)) max_diff = np.max(np.abs(np.array(tv1) - np.array(tv2))) print(f"{pb_name} max diff {k} = {max_diff}") - np.testing.assert_almost_equal(*trim_length(v1, v2)) + + if max_diff > tol: + list_failed.append(k) + + if len(list_failed) > 0: + raise BaseException( + f"Results changed for method(s): {', '.join(list_failed)}" + ) + + +def test_sc50b(): + generic_test_netlib(["SC50B"], update_results=False, display=False) if __name__ == "__main__": - # test_netlib('afiro')# seems like the solution is not unique - # test_netlib('SC50B') - # test_netlib('SC50A') - # test_netlib('KB2') - test_netlib(["SC105"], display=False, update_results=False) - # test_netlib('ADLITTLE')# seems like the solution is not unique - # test_netlib('SCAGR7') - # test_netlib('PEROLD')# seems like there is a loading this problem - # test_netlib('AGG2') + # problems for which mehrotra find the same solution as the provided one + problems = ["SC50B", "SC50A", "KB2", "SC105", "SCAGR7"] + problems = ["SC50B"] + # problem that seems to have several solutions (mehrotra find a different solution from the provided one) + # badly conditioned ? + # "AFIRO" 'ADLITTLE' + + # problem for which the provide solution seems to violate constraints + # 'PEROLD','AGG2' + + generic_test_netlib( + problems, update_results=False, display=True, max_duration_seconds=20 + ) diff --git a/tests/test_pott_segmentation.py b/tests/test_pott_segmentation.py index a2f617a..e8f903a 100644 --- a/tests/test_pott_segmentation.py +++ b/tests/test_pott_segmentation.py @@ -17,7 +17,7 @@ def trim_length(a, b): return a[:min_len], b[:min_len] -def test_pott_segmentation(update_results=False): +def test_pott_segmentation(update_results=False, tol=1e-6): distance_to_ground_truth_curves = run(display=False) @@ -29,12 +29,18 @@ def test_pott_segmentation(update_results=False): with open(curves_json_file, "r") as f: distance_to_ground_truth_curves_expected = json.load(f) + list_failed = [] + for k, v1 in distance_to_ground_truth_curves_expected.items(): v2 = distance_to_ground_truth_curves[k] tv1, tv2 = trim_length(v1, v2) max_diff = np.max(np.abs(np.array(tv1) - np.array(tv2))) print(f"max diff {k} = {max_diff}") - numpy.testing.assert_almost_equal(*trim_length(v1, v2)) + if max_diff > tol: + list_failed.append(k) + + if len(list_failed) > 0: + raise BaseException(f"Results changed for method(s): {', '.join(list_failed)}") if __name__ == "__main__": diff --git a/tests/test_pott_segmentation_curves.json b/tests/test_pott_segmentation_curves.json index 3950843..76cd951 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