seam_model.ipynb

{"nbformat":4,"nbformat_minor":0,"metadata":{"accelerator":"GPU","colab":{"name":"seam_model.ipynb","provenance":[],"collapsed_sections":[],"machine_shape":"hm"},"kernelspec":{"display_name":"Python 3","language":"python","name":"python3"},"language_info":{"codemirror_mode":{"name":"ipython","version":3},"file_extension":".py","mimetype":"text/x-python","name":"python","nbconvert_exporter":"python","pygments_lexer":"ipython3","version":"3.7.7"}},"cells":[{"cell_type":"markdown","metadata":{"id":"11SUtIc04kMG"},"source":["### **PINN eikonal based velocity inversion for crosshole tomopgraph of the SEAM model**"]},{"cell_type":"code","metadata":{"id":"qpPiDBD6wz9k","colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"status":"ok","timestamp":1617620862740,"user_tz":-180,"elapsed":1248,"user":{"displayName":"Umair bin Waheed","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjqim6lA6I3m073KKV1QGaclFO3cGZY8egrRo3a=s64","userId":"00809387776046207752"}},"outputId":"d46e8ae3-8899-42d3-80da-cb8d3aa56d07"},"source":["from google.colab import drive\n","drive.mount('/content/gdrive')"],"execution_count":21,"outputs":[{"output_type":"stream","text":["Drive already mounted at /content/gdrive; to attempt to forcibly remount, call drive.mount(\"/content/gdrive\", force_remount=True).\n"],"name":"stdout"}]},{"cell_type":"code","metadata":{"id":"Lh09C4w6xQc1","colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"status":"ok","timestamp":1617620862741,"user_tz":-180,"elapsed":1237,"user":{"displayName":"Umair bin Waheed","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjqim6lA6I3m073KKV1QGaclFO3cGZY8egrRo3a=s64","userId":"00809387776046207752"}},"outputId":"67c9965b-3449-49fb-ee0a-57c57da83ebe"},"source":["cd \"/content/gdrive/My Drive/Colab Notebooks/Codes/PINN_tomography_SEG2021\""],"execution_count":22,"outputs":[{"output_type":"stream","text":["/content/gdrive/My Drive/Colab Notebooks/Codes/PINN_tomography_SEG2021\n"],"name":"stdout"}]},{"cell_type":"code","metadata":{"id":"F0dnmtYxxd65","colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"status":"ok","timestamp":1617620865565,"user_tz":-180,"elapsed":4051,"user":{"displayName":"Umair bin Waheed","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjqim6lA6I3m073KKV1QGaclFO3cGZY8egrRo3a=s64","userId":"00809387776046207752"}},"outputId":"77d8546d-817c-4c56-eb29-893942437d60"},"source":["!pip install sciann\n","#!pip install sciann==0.5.4.0\n","#!pip install tensorflow==2.2.0\n","#!pip install keras==2.3.1 "],"execution_count":23,"outputs":[{"output_type":"stream","text":["Requirement already satisfied: sciann in /usr/local/lib/python3.7/dist-packages (0.6.1.1)\n","Requirement already satisfied: six>=1.9.0 in /usr/local/lib/python3.7/dist-packages (from 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Waheed","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjqim6lA6I3m073KKV1QGaclFO3cGZY8egrRo3a=s64","userId":"00809387776046207752"}}},"source":["import numpy as np\n","import pandas as pd\n","import matplotlib.pyplot as plt\n","from mpl_toolkits.axes_grid1 import make_axes_locatable\n","import tensorflow as tf\n","from sciann import Functional, Variable, SciModel, PDE\n","from sciann.utils import *\n","import scipy.io \n","import time\n","import random\n","\n","tf.config.threading.set_intra_op_parallelism_threads(1)\n","tf.config.threading.set_inter_op_parallelism_threads(1)"],"execution_count":24,"outputs":[]},{"cell_type":"code","metadata":{"id":"dFHCemaau4Bv","executionInfo":{"status":"ok","timestamp":1617620865567,"user_tz":-180,"elapsed":4035,"user":{"displayName":"Umair bin Waheed","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjqim6lA6I3m073KKV1QGaclFO3cGZY8egrRo3a=s64","userId":"00809387776046207752"}}},"source":["np.random.seed(123)\n","tf.random.set_seed(123)"],"execution_count":25,"outputs":[]},{"cell_type":"code","metadata":{"id":"PeN4YFVoPjZm","executionInfo":{"status":"ok","timestamp":1617620865567,"user_tz":-180,"elapsed":4026,"user":{"displayName":"Umair bin Waheed","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjqim6lA6I3m073KKV1QGaclFO3cGZY8egrRo3a=s64","userId":"00809387776046207752"}}},"source":["#Model specifications\n","\n","# Computational model parameters\n","\n","zmin = 0.; zmax = 1.; deltaz = 0.01;\n","xmin = 0.; xmax = 1.; deltax = 0.01;\n","\n","\n","# Loading the velocity model\n","vel = np.load('./inputs/seam_model/vel_seam.npy')\n","\n","# Point-source locations\n","\n","sx = 0.\n","sz = np.round(np.arange(0,1.001,0.1),2);\n","\n","# Number of training points\n","num_tr_pts = 4000"],"execution_count":26,"outputs":[]},{"cell_type":"code","metadata":{"id":"7pPMMo-hM_-P","executionInfo":{"status":"ok","timestamp":1617620865568,"user_tz":-180,"elapsed":4021,"user":{"displayName":"Umair bin Waheed","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjqim6lA6I3m073KKV1QGaclFO3cGZY8egrRo3a=s64","userId":"00809387776046207752"}}},"source":["# Creating grid, extending the velocity model, and prepare list of grid points for training (X_star)\n","\n","z = np.arange(zmin,zmax+deltaz,deltaz)\n","nz = z.size\n","\n","x = np.arange(xmin,xmax+deltax,deltax)\n","nx = x.size\n","\n","Z,X,SZ = np.meshgrid(z,x,sz,indexing='ij')\n","\n","SX = np.ones(SZ.shape)*sx # Creating an array of sources along z with same size as SX\n","\n","# Extending the velocity model in thirs dimension byy repeatin the array\n","velmodel = np.repeat(vel[...,np.newaxis],sz.size,axis=2)\n","\n","X_star = [Z.reshape(-1,1), X.reshape(-1,1), SZ.reshape(-1,1)] # Grid points for prediction "],"execution_count":27,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":370},"id":"bzsUCe2pTCbP","executionInfo":{"status":"ok","timestamp":1617620865568,"user_tz":-180,"elapsed":4012,"user":{"displayName":"Umair bin Waheed","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjqim6lA6I3m073KKV1QGaclFO3cGZY8egrRo3a=s64","userId":"00809387776046207752"}},"outputId":"275367c3-71f3-4282-e839-d1937fdf3fb0"},"source":["# Plot the velocity model with the source location\n","\n","plt.style.use('default')\n","\n","plt.figure(figsize=(4,4))\n","\n","ax = plt.gca()\n","im = ax.imshow(velmodel[:,:,0], extent=[xmin,xmax,zmax,zmin], aspect=1, cmap=\"jet\")\n","\n","plt.xlabel('Offset (km)', fontsize=14)\n","plt.xticks(fontsize=11)\n","\n","plt.ylabel('Depth (km)', fontsize=14)\n","plt.yticks(fontsize=11)\n","\n","ax.xaxis.set_major_locator(plt.MultipleLocator(0.5))\n","ax.yaxis.set_major_locator(plt.MultipleLocator(0.5))\n","\n","divider = make_axes_locatable(ax)\n","cax = divider.append_axes(\"right\", size=\"6%\", pad=0.15)\n","\n","cbar = plt.colorbar(im, cax=cax)\n","\n","cbar.mappable.set_clim(1.4,4.36)\n","\n","cbar.set_label('km/s',size=10)\n","cbar.ax.tick_params(labelsize=10)\n","\n","plt.savefig(\"./figs/seam_model/v_true.pdf\", format='pdf', bbox_inches=\"tight\")"],"execution_count":28,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 400x400 with 2 Axes>"]},"metadata":{"tags":[]}}]},{"cell_type":"code","metadata":{"id":"PXwV6YzUYisV","executionInfo":{"status":"ok","timestamp":1617620865569,"user_tz":-180,"elapsed":4001,"user":{"displayName":"Umair bin Waheed","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjqim6lA6I3m073KKV1QGaclFO3cGZY8egrRo3a=s64","userId":"00809387776046207752"}}},"source":["#selected_pts = np.random.choice(np.arange(Z.size),num_tr_pts,replace=False)\n","#Zf = Z.reshape(-1,1)[selected_pts]\n","#Zf1 = np.append(Zf,sz1)\n","#Zf2 = np.append(Zf,sz2)\n","#Xf = X.reshape(-1,1)[selected_pts]\n","#Xf1 = np.append(Xf,sx1)\n","#Xf2 = np.append(Xf,sx2)\n","#Tf1 = T_data1.reshape(-1,1)[selected_pts]\n","#Tf1 = np.append(Tf,0.)\n","#Tf1 = Tf1.reshape(-1,1)\n","\n","#Tf2 = T_data2.reshape(-1,1)[selected_pts]\n","#Tf2 = np.append(Tf2,0.)\n","#Tf2 = Tf2.reshape(-1,1)\n","\n","#X_starf1 = [Zf1.reshape(-1,1), Xf1.reshape(-1,1)] # Grid points for training"],"execution_count":29,"outputs":[]},{"cell_type":"code","metadata":{"id":"FqPUs_7mR0Xk","colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"status":"ok","timestamp":1617620866755,"user_tz":-180,"elapsed":5179,"user":{"displayName":"Umair bin Waheed","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjqim6lA6I3m073KKV1QGaclFO3cGZY8egrRo3a=s64","userId":"00809387776046207752"}},"outputId":"76f04057-35c3-4080-9fe4-cfd817ea7623"},"source":["# Load traveltime solution\n","\n","T_data = np.load('./inputs/seam_model/T_data.npy')\n","T_data.shape"],"execution_count":30,"outputs":[{"output_type":"execute_result","data":{"text/plain":["(101, 101, 11)"]},"metadata":{"tags":[]},"execution_count":30}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":369},"id":"n4wY9U-aJ2xz","executionInfo":{"status":"ok","timestamp":1617620866756,"user_tz":-180,"elapsed":5171,"user":{"displayName":"Umair bin Waheed","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjqim6lA6I3m073KKV1QGaclFO3cGZY8egrRo3a=s64","userId":"00809387776046207752"}},"outputId":"914741af-4ccb-4597-ed6a-5003355f7eb4"},"source":["# Plot the velocity model with the source location\n","\n","plt.style.use('default')\n","\n","plt.figure(figsize=(4,4))\n","\n","ax = plt.gca()\n","im = ax.imshow(T_data[:,:,0], extent=[xmin,xmax,zmax,zmin], aspect=1, cmap=\"jet\")\n","\n","\n","plt.xlabel('Offset (km)', fontsize=14)\n","plt.xticks(fontsize=10)\n","\n","plt.ylabel('Depth (km)', fontsize=14)\n","plt.yticks(fontsize=10)\n","\n","ax.xaxis.set_major_locator(plt.MultipleLocator(0.5))\n","ax.yaxis.set_major_locator(plt.MultipleLocator(0.5))\n","\n","divider = make_axes_locatable(ax)\n","cax = divider.append_axes(\"right\", size=\"6%\", pad=0.15)\n","\n","cbar = plt.colorbar(im, cax=cax)\n","\n","cbar.set_label('km/s',size=10)\n","cbar.ax.tick_params(labelsize=10)\n","\n","#plt.savefig(\"./figs/velmodel.pdf\", format='pdf', bbox_inches=\"tight\")"],"execution_count":31,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 400x400 with 2 Axes>"]},"metadata":{"tags":[]}}]},{"cell_type":"code","metadata":{"id":"3v9kkUoWuDbe","executionInfo":{"status":"ok","timestamp":1617620866757,"user_tz":-180,"elapsed":5163,"user":{"displayName":"Umair bin Waheed","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjqim6lA6I3m073KKV1QGaclFO3cGZY8egrRo3a=s64","userId":"00809387776046207752"}}},"source":["# Analytical solution for the known traveltime part\n","\n","vs = velmodel[np.round(SZ/deltaz).astype(int),np.round(SX/deltax).astype(int),0] # Velocity at the source location\n","T0 = np.sqrt((Z-SZ)**2 + (X-SX)**2)/vs;\n","\n","px0 = np.divide(X-SX, T0*vs**2, out=np.zeros_like(T0), where=T0!=0)\n","pz0 = np.divide(Z-SZ, T0*vs**2, out=np.zeros_like(T0), where=T0!=0)"],"execution_count":32,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":369},"id":"iErBFUOBT-5-","executionInfo":{"status":"ok","timestamp":1617620866758,"user_tz":-180,"elapsed":5156,"user":{"displayName":"Umair bin Waheed","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjqim6lA6I3m073KKV1QGaclFO3cGZY8egrRo3a=s64","userId":"00809387776046207752"}},"outputId":"15143d4a-bbed-4c2e-d8d8-73c1219ccb19"},"source":["# Plot the velocity model with the source location\n","\n","plt.style.use('default')\n","\n","plt.figure(figsize=(4,4))\n","\n","ax = plt.gca()\n","im = ax.imshow(pz0[:,:,0], extent=[xmin,xmax,zmax,zmin], aspect=1, cmap=\"jet\")\n","\n","\n","plt.xlabel('Offset (km)', fontsize=14)\n","plt.xticks(fontsize=10)\n","\n","plt.ylabel('Depth (km)', fontsize=14)\n","plt.yticks(fontsize=10)\n","\n","ax.xaxis.set_major_locator(plt.MultipleLocator(0.5))\n","ax.yaxis.set_major_locator(plt.MultipleLocator(0.5))\n","\n","divider = make_axes_locatable(ax)\n","cax = divider.append_axes(\"right\", size=\"6%\", pad=0.15)\n","\n","cbar = plt.colorbar(im, cax=cax)\n","\n","cbar.set_label('km/s',size=10)\n","cbar.ax.tick_params(labelsize=10)\n","\n","#plt.savefig(\"./figs/velmodel.pdf\", format='pdf', bbox_inches=\"tight\")"],"execution_count":33,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 400x400 with 2 Axes>"]},"metadata":{"tags":[]}}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"U3DyEdOmiEIG","executionInfo":{"status":"ok","timestamp":1617620866758,"user_tz":-180,"elapsed":5144,"user":{"displayName":"Umair bin Waheed","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjqim6lA6I3m073KKV1QGaclFO3cGZY8egrRo3a=s64","userId":"00809387776046207752"}},"outputId":"77ebfecc-32f2-49ed-fa90-d97b77699184"},"source":["sz"],"execution_count":34,"outputs":[{"output_type":"execute_result","data":{"text/plain":["array([0. , 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1. ])"]},"metadata":{"tags":[]},"execution_count":34}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"bKWNNkwZxVC_","executionInfo":{"status":"ok","timestamp":1617620866759,"user_tz":-180,"elapsed":5138,"user":{"displayName":"Umair bin Waheed","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjqim6lA6I3m073KKV1QGaclFO3cGZY8egrRo3a=s64","userId":"00809387776046207752"}},"outputId":"1397b090-30a7-49ac-98ee-2260f3e61905"},"source":["# Find source location id in X_starf\n","\n","TOLX = 1e-6\n","TOLZ = 1e-6\n","\n","sids = np.array([]).astype(int)\n","\n","for szi in sz:\n","    print(szi)\n","    sid,_ = np.where(np.logical_and(np.logical_and(np.abs(X_star[0]-szi)<TOLZ , np.abs(X_star[1]-sx)<TOLX), np.abs(X_star[2]-szi)<TOLX))\n","    sids = np.append(sids,sid)\n","\n","\n","print(sids)\n","print(sids.shape)\n","print(X_star[0][sids,0])\n","print(X_star[1][sids,0])\n","print(X_star[2][sids,0])"],"execution_count":35,"outputs":[{"output_type":"stream","text":["0.0\n","0.1\n","0.2\n","0.3\n","0.4\n","0.5\n","0.6\n","0.7\n","0.8\n","0.9\n","1.0\n","[     0  11111  22222  33333  44444  55555  66666  77777  88888  99999\n"," 111110]\n","(11,)\n","[0.  0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1. ]\n","[0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.]\n","[0.  0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1. ]\n"],"name":"stdout"}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"rlPH41qAwwtD","executionInfo":{"status":"ok","timestamp":1617620866759,"user_tz":-180,"elapsed":5128,"user":{"displayName":"Umair bin Waheed","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjqim6lA6I3m073KKV1QGaclFO3cGZY8egrRo3a=s64","userId":"00809387776046207752"}},"outputId":"f51ffe0b-b9bc-4b16-f494-83d5445033bb"},"source":["# Locations to read tau \n","#inv_ids,_ = np.where(np.logical_or(np.logical_or(np.abs(X_star[0]-0.)<TOLZ,np.abs(X_star[1]-0.)<TOLX),np.abs(X_star[1]-3.)<TOLX))\n","\n","inv_ids,_ = np.where(np.abs(X_star[1]-1.)<TOLX)\n","\n","#Taking every other grid point as receiver\n","inv_ids = inv_ids[::2]\n","\n","#print(inv_ids)\n","print(inv_ids.shape)"],"execution_count":36,"outputs":[{"output_type":"stream","text":["(556,)\n"],"name":"stdout"}]},{"cell_type":"code","metadata":{"id":"mrlxOO93Sd6q","executionInfo":{"status":"ok","timestamp":1617620867200,"user_tz":-180,"elapsed":5563,"user":{"displayName":"Umair bin Waheed","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjqim6lA6I3m073KKV1QGaclFO3cGZY8egrRo3a=s64","userId":"00809387776046207752"}}},"source":["# Preparing the Sciann model object\n","\n","K.clear_session() \n","\n","layers = [20]*10 \n","\n","velmodel = velmodel.reshape(-1,1)\n","\n","px0 = px0.reshape(-1,1)\n","pz0 = pz0.reshape(-1,1)\n","T0 = T0.reshape(-1,1)\n","\n","T_data = T_data.reshape(-1,1)\n","\n","\n","xt = Variable(\"xt\",dtype='float64')\n","zt = Variable(\"zt\",dtype='float64')\n","szt = Variable(\"szt\",dtype='float64')\n","px0t = Variable(\"px0t\",dtype='float64')\n","pz0t = Variable(\"pz0t\",dtype='float64')\n","T0t = Variable(\"T0t\",dtype='float64')\n","\n","# Constant model for vt\n","# vt = sn.Parameter(...)\n","# Linear model for vt (no hidden layers) \n","import sciann as sn\n","#xtf = sn.math.fourier(xt,5)\n","#ztf = sn.math.fourier(zt,5) \n","#sztf = sn.math.fourier(szt,5)\n","\n","vt = Functional(\"vt\", [zt, xt],[10]*10,'l-elu','sigmoid')*5\n","\n","tau = Functional(\"tau\", [zt, xt, szt], layers, 'l-elu','sigmoid')*5\n","\n","delvt = diff(vt,xt)**2 + diff(vt,zt)**2\n","\n","# Loss function based on the factored isotropic eikonal equation\n","L = (T0t*diff(tau, xt) + tau*px0t)**2 + (T0t*diff(tau, zt) + tau*pz0t)**2 - 1.0/vt**2\n","\n","#L = diff(tau, xt)**2 + diff(tau, zt)**2 - 1.0/vt**2\n","\n","#targets = [tau, PDE(L), (1-sign(tau))*abs(tau), 5e-4*delvt**0.5]\n","\n","targets = [tau, PDE(L)]\n","\n","imposed_ids = np.append(sids,inv_ids)\n","imposed_tau = np.append(np.ones(sids.shape), T_data[inv_ids]/T0[inv_ids]).reshape(-1,1)\n","#imposed_tau = np.append(np.zeros(sids.shape), T_data[inv_ids]).reshape(-1,1)\n","\n","\n","target_vals = [(imposed_ids, imposed_tau),'zeros']\n","\n","model = SciModel(\n","    [zt, xt, szt, pz0t, px0t, T0t], \n","    targets#,load_weights_from='script3-end.hdf5'\n",")"],"execution_count":37,"outputs":[]},{"cell_type":"code","metadata":{"id":"bIwpi5RZ504g","executionInfo":{"status":"ok","timestamp":1617620867201,"user_tz":-180,"elapsed":5558,"user":{"displayName":"Umair bin Waheed","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjqim6lA6I3m073KKV1QGaclFO3cGZY8egrRo3a=s64","userId":"00809387776046207752"}}},"source":["# Evaluating initial velocity model and traveltimes\n","\n","v_ini = vt.eval(model, X_star + [velmodel,pz0,px0,T0])\n","v_ini = v_ini.reshape(Z.shape)[:,:,0]\n"],"execution_count":38,"outputs":[]},{"cell_type":"code","metadata":{"id":"JX2cpltnUw0b","colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"status":"ok","timestamp":1617621145298,"user_tz":-180,"elapsed":283654,"user":{"displayName":"Umair bin Waheed","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjqim6lA6I3m073KKV1QGaclFO3cGZY8egrRo3a=s64","userId":"00809387776046207752"}},"outputId":"bc94358c-ba32-4862-fd0c-7a11b701a7ff"},"source":["#Model training\n","\n","start_time = time.time()\n","hist = model.train(\n","       X_star+[pz0,px0,T0],\n","       target_vals,\n","       batch_size = 1024,\n","       epochs = 250,\n","       learning_rate = 0.001,\n","       verbose=2,\n","       #adaptive_weights=10\n","       )\n","elapsed = time.time() - start_time\n","print('Training time: %.2f minutes' %(elapsed/60.))"],"execution_count":39,"outputs":[{"output_type":"stream","text":["\n","Total samples: 112211 \n","Batch size: 1024 \n","Total batches: 110 \n","\n","Epoch 1/250\n","110/110 - 3s - loss: 0.4049 - mul_7_loss: 0.2342 - sub_1_loss: 0.1707\n","Epoch 2/250\n","110/110 - 1s - loss: 0.0249 - mul_7_loss: 0.0161 - sub_1_loss: 0.0088\n","Epoch 3/250\n","110/110 - 1s - loss: 0.0066 - mul_7_loss: 0.0046 - sub_1_loss: 0.0019\n","Epoch 4/250\n","110/110 - 1s - loss: 0.0058 - mul_7_loss: 0.0041 - sub_1_loss: 0.0017\n","Epoch 5/250\n","110/110 - 1s - loss: 0.0055 - mul_7_loss: 0.0041 - sub_1_loss: 0.0014\n","Epoch 6/250\n","110/110 - 1s - loss: 0.0047 - mul_7_loss: 0.0034 - sub_1_loss: 0.0013\n","Epoch 7/250\n","110/110 - 1s - loss: 0.0048 - mul_7_loss: 0.0036 - sub_1_loss: 0.0012\n","Epoch 8/250\n","110/110 - 1s - loss: 0.0045 - mul_7_loss: 0.0033 - sub_1_loss: 0.0011\n","Epoch 9/250\n","110/110 - 1s - loss: 0.0043 - mul_7_loss: 0.0031 - sub_1_loss: 0.0012\n","Epoch 10/250\n","110/110 - 1s - loss: 0.0042 - mul_7_loss: 0.0031 - sub_1_loss: 0.0012\n","Epoch 11/250\n","110/110 - 1s - loss: 0.0039 - mul_7_loss: 0.0028 - sub_1_loss: 0.0011\n","Epoch 12/250\n","110/110 - 1s - loss: 0.0038 - mul_7_loss: 0.0026 - sub_1_loss: 0.0011\n","Epoch 13/250\n","110/110 - 1s - loss: 0.0034 - mul_7_loss: 0.0023 - sub_1_loss: 0.0011\n","Epoch 14/250\n","110/110 - 1s - loss: 0.0034 - mul_7_loss: 0.0024 - sub_1_loss: 0.0010\n","Epoch 15/250\n","110/110 - 1s - loss: 0.0034 - mul_7_loss: 0.0023 - sub_1_loss: 0.0010\n","Epoch 16/250\n","110/110 - 1s - loss: 0.0028 - mul_7_loss: 0.0018 - sub_1_loss: 0.0010\n","Epoch 17/250\n","110/110 - 1s - loss: 0.0023 - mul_7_loss: 0.0015 - sub_1_loss: 8.3202e-04\n","Epoch 18/250\n","110/110 - 1s - loss: 0.0016 - mul_7_loss: 0.0010 - sub_1_loss: 6.2245e-04\n","Epoch 19/250\n","110/110 - 1s - loss: 0.0012 - mul_7_loss: 7.0122e-04 - sub_1_loss: 4.6527e-04\n","Epoch 20/250\n","110/110 - 1s - loss: 0.0011 - mul_7_loss: 7.4449e-04 - sub_1_loss: 3.9989e-04\n","Epoch 21/250\n","110/110 - 1s - loss: 8.7331e-04 - mul_7_loss: 5.5253e-04 - sub_1_loss: 3.2077e-04\n","Epoch 22/250\n","110/110 - 1s - loss: 0.0012 - mul_7_loss: 7.2724e-04 - sub_1_loss: 4.6600e-04\n","Epoch 23/250\n","110/110 - 1s - loss: 0.0012 - mul_7_loss: 8.3978e-04 - sub_1_loss: 3.9928e-04\n","Epoch 24/250\n","110/110 - 1s - loss: 0.0014 - mul_7_loss: 9.1655e-04 - sub_1_loss: 5.1494e-04\n","Epoch 25/250\n","110/110 - 1s - loss: 0.0011 - mul_7_loss: 6.4998e-04 - sub_1_loss: 4.2225e-04\n","Epoch 26/250\n","110/110 - 1s - loss: 9.4585e-04 - mul_7_loss: 5.8730e-04 - sub_1_loss: 3.5855e-04\n","Epoch 27/250\n","110/110 - 1s - loss: 0.0016 - mul_7_loss: 0.0011 - sub_1_loss: 5.8407e-04\n","Epoch 28/250\n","110/110 - 1s - loss: 9.5927e-04 - mul_7_loss: 6.4186e-04 - sub_1_loss: 3.1741e-04\n","Epoch 29/250\n","110/110 - 1s - loss: 9.4776e-04 - mul_7_loss: 6.2961e-04 - sub_1_loss: 3.1815e-04\n","Epoch 30/250\n","110/110 - 1s - loss: 9.9699e-04 - mul_7_loss: 6.3750e-04 - sub_1_loss: 3.5949e-04\n","Epoch 31/250\n","110/110 - 1s - loss: 0.0011 - mul_7_loss: 7.0573e-04 - sub_1_loss: 3.7711e-04\n","Epoch 32/250\n","110/110 - 1s - loss: 0.0014 - mul_7_loss: 8.8261e-04 - sub_1_loss: 4.6963e-04\n","Epoch 33/250\n","110/110 - 1s - loss: 8.2584e-04 - mul_7_loss: 5.1486e-04 - sub_1_loss: 3.1098e-04\n","Epoch 34/250\n","110/110 - 1s - loss: 9.1664e-04 - mul_7_loss: 5.6707e-04 - sub_1_loss: 3.4957e-04\n","Epoch 35/250\n","110/110 - 1s - loss: 0.0011 - mul_7_loss: 7.8307e-04 - sub_1_loss: 3.5431e-04\n","Epoch 36/250\n","110/110 - 1s - loss: 9.5771e-04 - mul_7_loss: 6.3020e-04 - sub_1_loss: 3.2751e-04\n","Epoch 37/250\n","110/110 - 1s - loss: 0.0012 - mul_7_loss: 7.5470e-04 - sub_1_loss: 4.5563e-04\n","Epoch 38/250\n","110/110 - 1s - loss: 0.0011 - mul_7_loss: 6.8153e-04 - sub_1_loss: 3.7183e-04\n","Epoch 39/250\n","110/110 - 1s - loss: 8.8100e-04 - mul_7_loss: 5.6677e-04 - sub_1_loss: 3.1423e-04\n","Epoch 40/250\n","110/110 - 1s - loss: 0.0014 - mul_7_loss: 9.7191e-04 - sub_1_loss: 4.7803e-04\n","Epoch 41/250\n","110/110 - 1s - loss: 9.1807e-04 - mul_7_loss: 6.1056e-04 - sub_1_loss: 3.0751e-04\n","Epoch 42/250\n","110/110 - 1s - loss: 8.8761e-04 - mul_7_loss: 5.8820e-04 - sub_1_loss: 2.9942e-04\n","Epoch 43/250\n","110/110 - 1s - loss: 9.7414e-04 - mul_7_loss: 5.9928e-04 - sub_1_loss: 3.7486e-04\n","Epoch 44/250\n","110/110 - 1s - loss: 8.3245e-04 - mul_7_loss: 5.3504e-04 - sub_1_loss: 2.9741e-04\n","Epoch 45/250\n","110/110 - 1s - loss: 0.0010 - mul_7_loss: 6.4458e-04 - sub_1_loss: 3.6804e-04\n","Epoch 46/250\n","110/110 - 1s - loss: 0.0011 - mul_7_loss: 7.2092e-04 - sub_1_loss: 3.7182e-04\n","Epoch 47/250\n","110/110 - 1s - loss: 8.9964e-04 - mul_7_loss: 5.9302e-04 - sub_1_loss: 3.0662e-04\n","Epoch 48/250\n","110/110 - 1s - loss: 0.0014 - mul_7_loss: 8.9251e-04 - sub_1_loss: 4.6929e-04\n","Epoch 49/250\n","110/110 - 1s - loss: 8.9002e-04 - mul_7_loss: 5.8023e-04 - sub_1_loss: 3.0979e-04\n","Epoch 50/250\n","110/110 - 1s - loss: 0.0011 - mul_7_loss: 7.1247e-04 - sub_1_loss: 3.3885e-04\n","Epoch 51/250\n","110/110 - 1s - loss: 9.8990e-04 - mul_7_loss: 6.4371e-04 - sub_1_loss: 3.4619e-04\n","Epoch 52/250\n","110/110 - 1s - loss: 9.1276e-04 - mul_7_loss: 6.2667e-04 - sub_1_loss: 2.8608e-04\n","Epoch 53/250\n","110/110 - 1s - loss: 9.5037e-04 - mul_7_loss: 5.9347e-04 - sub_1_loss: 3.5690e-04\n","Epoch 54/250\n","110/110 - 1s - loss: 0.0011 - mul_7_loss: 7.3928e-04 - sub_1_loss: 3.5713e-04\n","Epoch 55/250\n","110/110 - 1s - loss: 9.9170e-04 - mul_7_loss: 6.2309e-04 - sub_1_loss: 3.6861e-04\n","Epoch 56/250\n","110/110 - 1s - loss: 9.0459e-04 - mul_7_loss: 5.9480e-04 - sub_1_loss: 3.0979e-04\n","Epoch 57/250\n","110/110 - 1s - loss: 0.0011 - mul_7_loss: 7.6067e-04 - sub_1_loss: 3.8765e-04\n","Epoch 58/250\n","\n","Epoch 00058: ReduceLROnPlateau reducing learning rate to 0.0005000000237487257.\n","110/110 - 1s - loss: 0.0012 - mul_7_loss: 8.0185e-04 - sub_1_loss: 4.2690e-04\n","Epoch 59/250\n","110/110 - 1s - loss: 7.1153e-04 - mul_7_loss: 4.8114e-04 - sub_1_loss: 2.3039e-04\n","Epoch 60/250\n","110/110 - 1s - loss: 5.7330e-04 - mul_7_loss: 3.6482e-04 - sub_1_loss: 2.0848e-04\n","Epoch 61/250\n","110/110 - 1s - loss: 4.6514e-04 - mul_7_loss: 2.9228e-04 - sub_1_loss: 1.7285e-04\n","Epoch 62/250\n","110/110 - 1s - loss: 6.9959e-04 - mul_7_loss: 4.6633e-04 - sub_1_loss: 2.3326e-04\n","Epoch 63/250\n","110/110 - 1s - loss: 6.6554e-04 - mul_7_loss: 4.2241e-04 - sub_1_loss: 2.4312e-04\n","Epoch 64/250\n","110/110 - 1s - loss: 5.4333e-04 - mul_7_loss: 3.3227e-04 - sub_1_loss: 2.1106e-04\n","Epoch 65/250\n","110/110 - 1s - loss: 5.1235e-04 - mul_7_loss: 3.1433e-04 - sub_1_loss: 1.9801e-04\n","Epoch 66/250\n","110/110 - 1s - loss: 8.7472e-04 - mul_7_loss: 5.9671e-04 - sub_1_loss: 2.7801e-04\n","Epoch 67/250\n","110/110 - 1s - loss: 8.0343e-04 - mul_7_loss: 5.4513e-04 - sub_1_loss: 2.5830e-04\n","Epoch 68/250\n","110/110 - 1s - loss: 5.4259e-04 - mul_7_loss: 3.4396e-04 - sub_1_loss: 1.9863e-04\n","Epoch 69/250\n","110/110 - 1s - loss: 4.1291e-04 - mul_7_loss: 2.5316e-04 - sub_1_loss: 1.5975e-04\n","Epoch 70/250\n","110/110 - 1s - loss: 4.6964e-04 - mul_7_loss: 2.9265e-04 - sub_1_loss: 1.7700e-04\n","Epoch 71/250\n","110/110 - 1s - loss: 5.6609e-04 - mul_7_loss: 3.5740e-04 - sub_1_loss: 2.0869e-04\n","Epoch 72/250\n","110/110 - 1s - loss: 0.0011 - mul_7_loss: 7.2703e-04 - sub_1_loss: 3.3391e-04\n","Epoch 73/250\n","110/110 - 1s - loss: 7.0252e-04 - mul_7_loss: 4.8258e-04 - sub_1_loss: 2.1994e-04\n","Epoch 74/250\n","110/110 - 1s - loss: 5.6017e-04 - mul_7_loss: 3.5189e-04 - sub_1_loss: 2.0827e-04\n","Epoch 75/250\n","110/110 - 1s - loss: 6.1606e-04 - mul_7_loss: 4.0991e-04 - sub_1_loss: 2.0615e-04\n","Epoch 76/250\n","110/110 - 1s - loss: 4.6602e-04 - mul_7_loss: 2.9075e-04 - sub_1_loss: 1.7528e-04\n","Epoch 77/250\n","110/110 - 1s - loss: 5.3809e-04 - mul_7_loss: 3.3867e-04 - sub_1_loss: 1.9942e-04\n","Epoch 78/250\n","110/110 - 1s - loss: 5.9265e-04 - mul_7_loss: 3.6376e-04 - sub_1_loss: 2.2889e-04\n","Epoch 79/250\n","110/110 - 1s - loss: 5.2578e-04 - mul_7_loss: 3.4588e-04 - sub_1_loss: 1.7990e-04\n","Epoch 80/250\n","110/110 - 1s - loss: 4.8337e-04 - mul_7_loss: 2.9939e-04 - sub_1_loss: 1.8398e-04\n","Epoch 81/250\n","110/110 - 1s - loss: 6.0546e-04 - mul_7_loss: 4.0261e-04 - sub_1_loss: 2.0286e-04\n","Epoch 82/250\n","110/110 - 1s - loss: 7.1922e-04 - mul_7_loss: 4.6394e-04 - sub_1_loss: 2.5528e-04\n","Epoch 83/250\n","110/110 - 1s - loss: 5.2826e-04 - mul_7_loss: 3.4227e-04 - sub_1_loss: 1.8599e-04\n","Epoch 84/250\n","110/110 - 1s - loss: 4.6545e-04 - mul_7_loss: 2.8673e-04 - sub_1_loss: 1.7872e-04\n","Epoch 85/250\n","110/110 - 1s - loss: 5.6540e-04 - mul_7_loss: 3.7312e-04 - sub_1_loss: 1.9228e-04\n","Epoch 86/250\n","110/110 - 1s - loss: 6.4623e-04 - mul_7_loss: 4.3134e-04 - sub_1_loss: 2.1489e-04\n","Epoch 87/250\n","110/110 - 1s - loss: 4.4793e-04 - mul_7_loss: 2.9144e-04 - sub_1_loss: 1.5649e-04\n","Epoch 88/250\n","110/110 - 1s - loss: 4.6075e-04 - mul_7_loss: 2.9884e-04 - sub_1_loss: 1.6192e-04\n","Epoch 89/250\n","110/110 - 1s - loss: 5.1648e-04 - mul_7_loss: 3.4627e-04 - sub_1_loss: 1.7021e-04\n","Epoch 90/250\n","110/110 - 1s - loss: 5.6833e-04 - mul_7_loss: 3.7571e-04 - sub_1_loss: 1.9262e-04\n","Epoch 91/250\n","110/110 - 1s - loss: 5.4400e-04 - mul_7_loss: 3.6107e-04 - sub_1_loss: 1.8293e-04\n","Epoch 92/250\n","110/110 - 1s - loss: 4.3618e-04 - mul_7_loss: 2.8371e-04 - sub_1_loss: 1.5247e-04\n","Epoch 93/250\n","110/110 - 1s - loss: 5.0654e-04 - mul_7_loss: 3.3508e-04 - sub_1_loss: 1.7147e-04\n","Epoch 94/250\n","\n","Epoch 00094: ReduceLROnPlateau reducing learning rate to 0.0002500000118743628.\n","110/110 - 1s - loss: 4.9535e-04 - mul_7_loss: 3.3715e-04 - sub_1_loss: 1.5820e-04\n","Epoch 95/250\n","110/110 - 1s - loss: 3.8828e-04 - mul_7_loss: 2.5555e-04 - sub_1_loss: 1.3273e-04\n","Epoch 96/250\n","110/110 - 1s - loss: 3.6813e-04 - mul_7_loss: 2.3335e-04 - sub_1_loss: 1.3478e-04\n","Epoch 97/250\n","110/110 - 1s - loss: 3.9323e-04 - mul_7_loss: 2.5987e-04 - sub_1_loss: 1.3336e-04\n","Epoch 98/250\n","110/110 - 1s - loss: 3.7074e-04 - mul_7_loss: 2.3953e-04 - sub_1_loss: 1.3122e-04\n","Epoch 99/250\n","110/110 - 1s - loss: 3.8399e-04 - mul_7_loss: 2.4739e-04 - sub_1_loss: 1.3660e-04\n","Epoch 100/250\n","110/110 - 1s - loss: 3.5485e-04 - mul_7_loss: 2.3141e-04 - sub_1_loss: 1.2345e-04\n","Epoch 101/250\n","110/110 - 1s - loss: 4.1528e-04 - mul_7_loss: 2.7386e-04 - sub_1_loss: 1.4142e-04\n","Epoch 102/250\n","110/110 - 1s - loss: 3.4403e-04 - mul_7_loss: 2.2731e-04 - sub_1_loss: 1.1672e-04\n","Epoch 103/250\n","110/110 - 1s - loss: 3.2378e-04 - mul_7_loss: 2.0396e-04 - sub_1_loss: 1.1981e-04\n","Epoch 104/250\n","110/110 - 1s - loss: 3.1664e-04 - mul_7_loss: 2.0450e-04 - sub_1_loss: 1.1214e-04\n","Epoch 105/250\n","110/110 - 1s - loss: 3.0597e-04 - mul_7_loss: 2.0308e-04 - sub_1_loss: 1.0289e-04\n","Epoch 106/250\n","110/110 - 1s - loss: 2.9359e-04 - mul_7_loss: 1.9253e-04 - sub_1_loss: 1.0107e-04\n","Epoch 107/250\n","110/110 - 1s - loss: 4.4942e-04 - mul_7_loss: 3.2674e-04 - sub_1_loss: 1.2268e-04\n","Epoch 108/250\n","110/110 - 1s - loss: 3.8751e-04 - mul_7_loss: 2.5613e-04 - sub_1_loss: 1.3138e-04\n","Epoch 109/250\n","110/110 - 1s - loss: 3.6531e-04 - mul_7_loss: 2.3778e-04 - sub_1_loss: 1.2753e-04\n","Epoch 110/250\n","110/110 - 1s - loss: 3.6779e-04 - mul_7_loss: 2.3782e-04 - sub_1_loss: 1.2997e-04\n","Epoch 111/250\n","110/110 - 1s - loss: 3.9269e-04 - mul_7_loss: 2.5683e-04 - sub_1_loss: 1.3586e-04\n","Epoch 112/250\n","110/110 - 1s - loss: 3.7370e-04 - mul_7_loss: 2.5284e-04 - sub_1_loss: 1.2086e-04\n","Epoch 113/250\n","110/110 - 1s - loss: 3.8003e-04 - mul_7_loss: 2.4265e-04 - sub_1_loss: 1.3738e-04\n","Epoch 114/250\n","110/110 - 1s - loss: 3.0914e-04 - mul_7_loss: 2.0050e-04 - sub_1_loss: 1.0863e-04\n","Epoch 115/250\n","110/110 - 1s - loss: 2.8974e-04 - mul_7_loss: 1.8410e-04 - sub_1_loss: 1.0565e-04\n","Epoch 116/250\n","110/110 - 1s - loss: 3.6449e-04 - mul_7_loss: 2.5266e-04 - sub_1_loss: 1.1183e-04\n","Epoch 117/250\n","110/110 - 1s - loss: 4.3862e-04 - mul_7_loss: 2.9375e-04 - sub_1_loss: 1.4487e-04\n","Epoch 118/250\n","110/110 - 1s - loss: 3.3559e-04 - mul_7_loss: 2.2662e-04 - sub_1_loss: 1.0897e-04\n","Epoch 119/250\n","110/110 - 1s - loss: 2.7096e-04 - mul_7_loss: 1.7494e-04 - sub_1_loss: 9.6015e-05\n","Epoch 120/250\n","110/110 - 1s - loss: 3.3862e-04 - mul_7_loss: 2.3292e-04 - sub_1_loss: 1.0570e-04\n","Epoch 121/250\n","110/110 - 1s - loss: 3.1094e-04 - mul_7_loss: 2.0706e-04 - sub_1_loss: 1.0389e-04\n","Epoch 122/250\n","110/110 - 1s - loss: 3.6013e-04 - mul_7_loss: 2.4014e-04 - sub_1_loss: 1.1999e-04\n","Epoch 123/250\n","110/110 - 1s - loss: 3.3625e-04 - mul_7_loss: 2.2800e-04 - sub_1_loss: 1.0825e-04\n","Epoch 124/250\n","110/110 - 1s - loss: 3.9810e-04 - mul_7_loss: 2.6777e-04 - sub_1_loss: 1.3033e-04\n","Epoch 125/250\n","110/110 - 1s - loss: 4.9305e-04 - mul_7_loss: 3.5345e-04 - sub_1_loss: 1.3960e-04\n","Epoch 126/250\n","110/110 - 1s - loss: 3.2530e-04 - mul_7_loss: 2.0939e-04 - sub_1_loss: 1.1591e-04\n","Epoch 127/250\n","110/110 - 1s - loss: 4.4417e-04 - mul_7_loss: 3.0169e-04 - sub_1_loss: 1.4248e-04\n","Epoch 128/250\n","110/110 - 1s - loss: 3.1426e-04 - mul_7_loss: 2.0788e-04 - sub_1_loss: 1.0638e-04\n","Epoch 129/250\n","110/110 - 1s - loss: 3.3581e-04 - mul_7_loss: 2.2840e-04 - sub_1_loss: 1.0741e-04\n","Epoch 130/250\n","110/110 - 1s - loss: 3.5334e-04 - mul_7_loss: 2.3731e-04 - sub_1_loss: 1.1603e-04\n","Epoch 131/250\n","110/110 - 1s - loss: 2.9267e-04 - mul_7_loss: 1.8917e-04 - sub_1_loss: 1.0350e-04\n","Epoch 132/250\n","110/110 - 1s - loss: 2.9028e-04 - mul_7_loss: 1.8621e-04 - sub_1_loss: 1.0407e-04\n","Epoch 133/250\n","110/110 - 1s - loss: 3.3660e-04 - mul_7_loss: 2.2594e-04 - sub_1_loss: 1.1065e-04\n","Epoch 134/250\n","110/110 - 1s - loss: 2.9588e-04 - mul_7_loss: 1.9723e-04 - sub_1_loss: 9.8655e-05\n","Epoch 135/250\n","110/110 - 1s - loss: 2.7507e-04 - mul_7_loss: 1.7950e-04 - sub_1_loss: 9.5569e-05\n","Epoch 136/250\n","110/110 - 1s - loss: 2.9740e-04 - mul_7_loss: 1.9502e-04 - sub_1_loss: 1.0239e-04\n","Epoch 137/250\n","110/110 - 1s - loss: 3.3072e-04 - mul_7_loss: 2.2385e-04 - sub_1_loss: 1.0687e-04\n","Epoch 138/250\n","110/110 - 1s - loss: 3.6990e-04 - mul_7_loss: 2.5016e-04 - sub_1_loss: 1.1974e-04\n","Epoch 139/250\n","110/110 - 1s - loss: 3.5014e-04 - mul_7_loss: 2.3583e-04 - sub_1_loss: 1.1431e-04\n","Epoch 140/250\n","110/110 - 1s - loss: 2.9077e-04 - mul_7_loss: 1.9725e-04 - sub_1_loss: 9.3519e-05\n","Epoch 141/250\n","110/110 - 1s - loss: 4.0760e-04 - mul_7_loss: 2.6435e-04 - sub_1_loss: 1.4324e-04\n","Epoch 142/250\n","110/110 - 1s - loss: 3.0679e-04 - mul_7_loss: 2.0341e-04 - sub_1_loss: 1.0337e-04\n","Epoch 143/250\n","110/110 - 1s - loss: 3.2465e-04 - mul_7_loss: 2.2602e-04 - sub_1_loss: 9.8628e-05\n","Epoch 144/250\n","\n","Epoch 00144: ReduceLROnPlateau reducing learning rate to 0.0001250000059371814.\n","110/110 - 1s - loss: 3.2963e-04 - mul_7_loss: 2.1613e-04 - sub_1_loss: 1.1351e-04\n","Epoch 145/250\n","110/110 - 1s - loss: 2.8187e-04 - mul_7_loss: 1.9036e-04 - sub_1_loss: 9.1504e-05\n","Epoch 146/250\n","110/110 - 1s - loss: 2.6213e-04 - mul_7_loss: 1.7503e-04 - sub_1_loss: 8.7094e-05\n","Epoch 147/250\n","110/110 - 1s - loss: 2.6588e-04 - mul_7_loss: 1.7934e-04 - sub_1_loss: 8.6543e-05\n","Epoch 148/250\n","110/110 - 1s - loss: 2.6067e-04 - mul_7_loss: 1.7525e-04 - sub_1_loss: 8.5422e-05\n","Epoch 149/250\n","110/110 - 1s - loss: 2.3955e-04 - mul_7_loss: 1.5876e-04 - sub_1_loss: 8.0790e-05\n","Epoch 150/250\n","110/110 - 1s - loss: 2.4783e-04 - mul_7_loss: 1.6317e-04 - sub_1_loss: 8.4662e-05\n","Epoch 151/250\n","110/110 - 1s - loss: 2.1725e-04 - mul_7_loss: 1.3815e-04 - sub_1_loss: 7.9099e-05\n","Epoch 152/250\n","110/110 - 1s - loss: 2.3083e-04 - mul_7_loss: 1.4837e-04 - sub_1_loss: 8.2457e-05\n","Epoch 153/250\n","110/110 - 1s - loss: 2.6209e-04 - mul_7_loss: 1.7327e-04 - sub_1_loss: 8.8818e-05\n","Epoch 154/250\n","110/110 - 1s - loss: 2.2183e-04 - mul_7_loss: 1.4268e-04 - sub_1_loss: 7.9145e-05\n","Epoch 155/250\n","110/110 - 1s - loss: 2.7671e-04 - mul_7_loss: 1.8546e-04 - sub_1_loss: 9.1256e-05\n","Epoch 156/250\n","110/110 - 1s - loss: 2.4033e-04 - mul_7_loss: 1.5380e-04 - sub_1_loss: 8.6530e-05\n","Epoch 157/250\n","110/110 - 1s - loss: 2.3172e-04 - mul_7_loss: 1.5120e-04 - sub_1_loss: 8.0517e-05\n","Epoch 158/250\n","110/110 - 1s - loss: 2.4537e-04 - mul_7_loss: 1.6656e-04 - sub_1_loss: 7.8809e-05\n","Epoch 159/250\n","110/110 - 1s - loss: 2.5821e-04 - mul_7_loss: 1.7497e-04 - sub_1_loss: 8.3244e-05\n","Epoch 160/250\n","110/110 - 1s - loss: 2.6289e-04 - mul_7_loss: 1.8515e-04 - sub_1_loss: 7.7739e-05\n","Epoch 161/250\n","110/110 - 1s - loss: 2.4050e-04 - mul_7_loss: 1.5727e-04 - sub_1_loss: 8.3234e-05\n","Epoch 162/250\n","110/110 - 1s - loss: 2.4103e-04 - mul_7_loss: 1.6252e-04 - sub_1_loss: 7.8514e-05\n","Epoch 163/250\n","110/110 - 1s - loss: 2.3250e-04 - mul_7_loss: 1.5348e-04 - sub_1_loss: 7.9020e-05\n","Epoch 164/250\n","110/110 - 1s - loss: 2.2238e-04 - mul_7_loss: 1.4262e-04 - sub_1_loss: 7.9751e-05\n","Epoch 165/250\n","110/110 - 1s - loss: 2.6304e-04 - mul_7_loss: 1.8155e-04 - sub_1_loss: 8.1490e-05\n","Epoch 166/250\n","110/110 - 1s - loss: 2.6266e-04 - mul_7_loss: 1.7817e-04 - sub_1_loss: 8.4490e-05\n","Epoch 167/250\n","110/110 - 1s - loss: 2.5815e-04 - mul_7_loss: 1.7490e-04 - sub_1_loss: 8.3247e-05\n","Epoch 168/250\n","110/110 - 1s - loss: 2.2290e-04 - mul_7_loss: 1.4447e-04 - sub_1_loss: 7.8426e-05\n","Epoch 169/250\n","110/110 - 1s - loss: 2.4200e-04 - mul_7_loss: 1.6441e-04 - sub_1_loss: 7.7595e-05\n","Epoch 170/250\n","110/110 - 1s - loss: 2.6587e-04 - mul_7_loss: 1.7733e-04 - sub_1_loss: 8.8540e-05\n","Epoch 171/250\n","110/110 - 1s - loss: 2.3056e-04 - mul_7_loss: 1.4891e-04 - sub_1_loss: 8.1650e-05\n","Epoch 172/250\n","110/110 - 1s - loss: 2.4034e-04 - mul_7_loss: 1.5477e-04 - sub_1_loss: 8.5575e-05\n","Epoch 173/250\n","110/110 - 1s - loss: 2.1352e-04 - mul_7_loss: 1.4332e-04 - sub_1_loss: 7.0200e-05\n","Epoch 174/250\n","110/110 - 1s - loss: 2.4816e-04 - mul_7_loss: 1.6526e-04 - sub_1_loss: 8.2901e-05\n","Epoch 175/250\n","110/110 - 1s - loss: 2.0857e-04 - mul_7_loss: 1.3587e-04 - sub_1_loss: 7.2696e-05\n","Epoch 176/250\n","110/110 - 1s - loss: 2.5547e-04 - mul_7_loss: 1.6921e-04 - sub_1_loss: 8.6261e-05\n","Epoch 177/250\n","110/110 - 1s - loss: 2.3303e-04 - mul_7_loss: 1.5013e-04 - sub_1_loss: 8.2905e-05\n","Epoch 178/250\n","110/110 - 1s - loss: 2.3262e-04 - mul_7_loss: 1.5289e-04 - sub_1_loss: 7.9733e-05\n","Epoch 179/250\n","110/110 - 1s - loss: 2.4047e-04 - mul_7_loss: 1.6008e-04 - sub_1_loss: 8.0389e-05\n","Epoch 180/250\n","110/110 - 1s - loss: 1.9347e-04 - mul_7_loss: 1.2306e-04 - sub_1_loss: 7.0406e-05\n","Epoch 181/250\n","110/110 - 1s - loss: 2.1810e-04 - mul_7_loss: 1.4385e-04 - sub_1_loss: 7.4252e-05\n","Epoch 182/250\n","110/110 - 1s - loss: 2.7544e-04 - mul_7_loss: 1.8532e-04 - sub_1_loss: 9.0114e-05\n","Epoch 183/250\n","110/110 - 1s - loss: 2.4656e-04 - mul_7_loss: 1.6258e-04 - sub_1_loss: 8.3978e-05\n","Epoch 184/250\n","110/110 - 1s - loss: 2.3089e-04 - mul_7_loss: 1.5077e-04 - sub_1_loss: 8.0116e-05\n","Epoch 185/250\n","110/110 - 1s - loss: 2.0940e-04 - mul_7_loss: 1.3498e-04 - sub_1_loss: 7.4421e-05\n","Epoch 186/250\n","110/110 - 1s - loss: 2.3104e-04 - mul_7_loss: 1.5533e-04 - sub_1_loss: 7.5718e-05\n","Epoch 187/250\n","110/110 - 1s - loss: 1.8911e-04 - mul_7_loss: 1.2067e-04 - sub_1_loss: 6.8440e-05\n","Epoch 188/250\n","110/110 - 1s - loss: 2.1147e-04 - mul_7_loss: 1.3896e-04 - sub_1_loss: 7.2510e-05\n","Epoch 189/250\n","110/110 - 1s - loss: 2.4512e-04 - mul_7_loss: 1.6359e-04 - sub_1_loss: 8.1530e-05\n","Epoch 190/250\n","110/110 - 1s - loss: 2.4112e-04 - mul_7_loss: 1.5653e-04 - sub_1_loss: 8.4594e-05\n","Epoch 191/250\n","110/110 - 1s - loss: 2.3135e-04 - mul_7_loss: 1.5340e-04 - sub_1_loss: 7.7946e-05\n","Epoch 192/250\n","110/110 - 1s - loss: 2.1942e-04 - mul_7_loss: 1.4991e-04 - sub_1_loss: 6.9510e-05\n","Epoch 193/250\n","110/110 - 1s - loss: 2.1936e-04 - mul_7_loss: 1.4441e-04 - sub_1_loss: 7.4955e-05\n","Epoch 194/250\n","110/110 - 1s - loss: 2.2254e-04 - mul_7_loss: 1.4554e-04 - sub_1_loss: 7.7000e-05\n","Epoch 195/250\n","110/110 - 1s - loss: 2.3790e-04 - mul_7_loss: 1.5918e-04 - sub_1_loss: 7.8724e-05\n","Epoch 196/250\n","110/110 - 1s - loss: 2.2345e-04 - mul_7_loss: 1.4011e-04 - sub_1_loss: 8.3348e-05\n","Epoch 197/250\n","110/110 - 1s - loss: 2.2171e-04 - mul_7_loss: 1.4802e-04 - sub_1_loss: 7.3690e-05\n","Epoch 198/250\n","110/110 - 1s - loss: 2.2464e-04 - mul_7_loss: 1.5346e-04 - sub_1_loss: 7.1181e-05\n","Epoch 199/250\n","110/110 - 1s - loss: 2.3292e-04 - mul_7_loss: 1.5379e-04 - sub_1_loss: 7.9130e-05\n","Epoch 200/250\n","110/110 - 1s - loss: 2.2489e-04 - mul_7_loss: 1.4900e-04 - sub_1_loss: 7.5888e-05\n","Epoch 201/250\n","110/110 - 1s - loss: 2.3906e-04 - mul_7_loss: 1.6103e-04 - sub_1_loss: 7.8033e-05\n","Epoch 202/250\n","110/110 - 1s - loss: 2.4415e-04 - mul_7_loss: 1.6458e-04 - sub_1_loss: 7.9569e-05\n","Epoch 203/250\n","110/110 - 1s - loss: 2.0450e-04 - mul_7_loss: 1.3440e-04 - sub_1_loss: 7.0100e-05\n","Epoch 204/250\n","110/110 - 1s - loss: 2.1865e-04 - mul_7_loss: 1.4792e-04 - sub_1_loss: 7.0725e-05\n","Epoch 205/250\n","110/110 - 1s - loss: 2.3661e-04 - mul_7_loss: 1.5848e-04 - sub_1_loss: 7.8134e-05\n","Epoch 206/250\n","110/110 - 1s - loss: 2.1600e-04 - mul_7_loss: 1.3880e-04 - sub_1_loss: 7.7197e-05\n","Epoch 207/250\n","110/110 - 1s - loss: 2.4638e-04 - mul_7_loss: 1.6301e-04 - sub_1_loss: 8.3372e-05\n","Epoch 208/250\n","110/110 - 1s - loss: 1.8894e-04 - mul_7_loss: 1.2150e-04 - sub_1_loss: 6.7439e-05\n","Epoch 209/250\n","110/110 - 1s - loss: 2.1423e-04 - mul_7_loss: 1.4488e-04 - sub_1_loss: 6.9353e-05\n","Epoch 210/250\n","110/110 - 1s - loss: 2.3446e-04 - mul_7_loss: 1.6331e-04 - sub_1_loss: 7.1151e-05\n","Epoch 211/250\n","110/110 - 1s - loss: 2.1770e-04 - mul_7_loss: 1.4427e-04 - sub_1_loss: 7.3435e-05\n","Epoch 212/250\n","\n","Epoch 00212: ReduceLROnPlateau reducing learning rate to 6.25000029685907e-05.\n","110/110 - 1s - loss: 1.9022e-04 - mul_7_loss: 1.2411e-04 - sub_1_loss: 6.6110e-05\n","Epoch 213/250\n","110/110 - 1s - loss: 1.8734e-04 - mul_7_loss: 1.2183e-04 - sub_1_loss: 6.5506e-05\n","Epoch 214/250\n","110/110 - 1s - loss: 1.7785e-04 - mul_7_loss: 1.1518e-04 - sub_1_loss: 6.2671e-05\n","Epoch 215/250\n","110/110 - 1s - loss: 1.8770e-04 - mul_7_loss: 1.2268e-04 - sub_1_loss: 6.5026e-05\n","Epoch 216/250\n","110/110 - 1s - loss: 1.8735e-04 - mul_7_loss: 1.2359e-04 - sub_1_loss: 6.3763e-05\n","Epoch 217/250\n","110/110 - 1s - loss: 1.8005e-04 - mul_7_loss: 1.1816e-04 - sub_1_loss: 6.1888e-05\n","Epoch 218/250\n","110/110 - 1s - loss: 1.8238e-04 - mul_7_loss: 1.2040e-04 - sub_1_loss: 6.1983e-05\n","Epoch 219/250\n","110/110 - 1s - loss: 1.9345e-04 - mul_7_loss: 1.2582e-04 - sub_1_loss: 6.7629e-05\n","Epoch 220/250\n","110/110 - 1s - loss: 1.9490e-04 - mul_7_loss: 1.3026e-04 - sub_1_loss: 6.4638e-05\n","Epoch 221/250\n","110/110 - 1s - loss: 1.7422e-04 - mul_7_loss: 1.1115e-04 - sub_1_loss: 6.3065e-05\n","Epoch 222/250\n","110/110 - 1s - loss: 1.9291e-04 - mul_7_loss: 1.2924e-04 - sub_1_loss: 6.3666e-05\n","Epoch 223/250\n","110/110 - 1s - loss: 1.9320e-04 - mul_7_loss: 1.2723e-04 - sub_1_loss: 6.5973e-05\n","Epoch 224/250\n","110/110 - 1s - loss: 1.8511e-04 - mul_7_loss: 1.2197e-04 - sub_1_loss: 6.3139e-05\n","Epoch 225/250\n","110/110 - 1s - loss: 1.7095e-04 - mul_7_loss: 1.0970e-04 - sub_1_loss: 6.1251e-05\n","Epoch 226/250\n","110/110 - 1s - loss: 1.6737e-04 - mul_7_loss: 1.0603e-04 - sub_1_loss: 6.1343e-05\n","Epoch 227/250\n","110/110 - 1s - loss: 1.8706e-04 - mul_7_loss: 1.2118e-04 - sub_1_loss: 6.5875e-05\n","Epoch 228/250\n","110/110 - 1s - loss: 1.6858e-04 - mul_7_loss: 1.0774e-04 - sub_1_loss: 6.0846e-05\n","Epoch 229/250\n","110/110 - 1s - loss: 1.8155e-04 - mul_7_loss: 1.1857e-04 - sub_1_loss: 6.2986e-05\n","Epoch 230/250\n","110/110 - 1s - loss: 1.9531e-04 - mul_7_loss: 1.3002e-04 - sub_1_loss: 6.5294e-05\n","Epoch 231/250\n","110/110 - 1s - loss: 1.7364e-04 - mul_7_loss: 1.1198e-04 - sub_1_loss: 6.1660e-05\n","Epoch 232/250\n","110/110 - 1s - loss: 1.9073e-04 - mul_7_loss: 1.2503e-04 - sub_1_loss: 6.5700e-05\n","Epoch 233/250\n","110/110 - 1s - loss: 1.7902e-04 - mul_7_loss: 1.1772e-04 - sub_1_loss: 6.1298e-05\n","Epoch 234/250\n","110/110 - 1s - loss: 1.7323e-04 - mul_7_loss: 1.1072e-04 - sub_1_loss: 6.2511e-05\n","Epoch 235/250\n","110/110 - 1s - loss: 1.9011e-04 - mul_7_loss: 1.2420e-04 - sub_1_loss: 6.5909e-05\n","Epoch 236/250\n","110/110 - 1s - loss: 1.7444e-04 - mul_7_loss: 1.1085e-04 - sub_1_loss: 6.3587e-05\n","Epoch 237/250\n","110/110 - 1s - loss: 1.9137e-04 - mul_7_loss: 1.2377e-04 - sub_1_loss: 6.7607e-05\n","Epoch 238/250\n","110/110 - 1s - loss: 1.8339e-04 - mul_7_loss: 1.1775e-04 - sub_1_loss: 6.5644e-05\n","Epoch 239/250\n","110/110 - 1s - loss: 1.6946e-04 - mul_7_loss: 1.0870e-04 - sub_1_loss: 6.0764e-05\n","Epoch 240/250\n","110/110 - 1s - loss: 1.5634e-04 - mul_7_loss: 9.8238e-05 - sub_1_loss: 5.8102e-05\n","Epoch 241/250\n","110/110 - 1s - loss: 1.7628e-04 - mul_7_loss: 1.1168e-04 - sub_1_loss: 6.4598e-05\n","Epoch 242/250\n","110/110 - 1s - loss: 1.7758e-04 - mul_7_loss: 1.1565e-04 - sub_1_loss: 6.1931e-05\n","Epoch 243/250\n","110/110 - 1s - loss: 1.8401e-04 - mul_7_loss: 1.2018e-04 - sub_1_loss: 6.3835e-05\n","Epoch 244/250\n","110/110 - 1s - loss: 1.6809e-04 - mul_7_loss: 1.1042e-04 - sub_1_loss: 5.7670e-05\n","Epoch 245/250\n","110/110 - 1s - loss: 1.8665e-04 - mul_7_loss: 1.2479e-04 - sub_1_loss: 6.1869e-05\n","Epoch 246/250\n","110/110 - 1s - loss: 1.8224e-04 - mul_7_loss: 1.2220e-04 - sub_1_loss: 6.0041e-05\n","Epoch 247/250\n","110/110 - 1s - loss: 1.9094e-04 - mul_7_loss: 1.2728e-04 - sub_1_loss: 6.3655e-05\n","Epoch 248/250\n","110/110 - 1s - loss: 1.8892e-04 - mul_7_loss: 1.2732e-04 - sub_1_loss: 6.1601e-05\n","Epoch 249/250\n","110/110 - 1s - loss: 1.8423e-04 - mul_7_loss: 1.2039e-04 - sub_1_loss: 6.3849e-05\n","Epoch 250/250\n","110/110 - 1s - loss: 1.9230e-04 - mul_7_loss: 1.2602e-04 - sub_1_loss: 6.6281e-05\n","Training time: 4.63 minutes\n"],"name":"stdout"}]},{"cell_type":"code","metadata":{"id":"HEBMghwbx8V9","colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"status":"ok","timestamp":1617622180318,"user_tz":-180,"elapsed":1318667,"user":{"displayName":"Umair bin Waheed","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjqim6lA6I3m073KKV1QGaclFO3cGZY8egrRo3a=s64","userId":"00809387776046207752"}},"outputId":"a6b4a7aa-14a8-4599-9136-05cc677cefb1"},"source":["#Model training using L-BFGS-B\n","\n","model = SciModel(\n","    [zt, xt, szt,pz0t,px0t,T0t], \n","    targets, optimizer='scipy-l-BFGS-B'\n",")\n","\n","start_time = time.time()\n","hist = model.train(\n","       X_star + [pz0,px0,T0],\n","       target_vals,\n","       batch_size = X_star[0].size,\n","       epochs = 1000,\n","       learning_rate = 0.001,\n","       verbose=2,\n","       #adaptive_weights=10,\n","       save_weights_to='models/seam',\n","       save_weights_freq=1e8\n","       )\n","elapsed = time.time() - start_time\n","print('Training time: %.2f minutes' %(elapsed/60.))"],"execution_count":40,"outputs":[{"output_type":"stream","text":["\u001b[1;30;43mStreaming output truncated to the last 5000 lines.\u001b[0m\n","itr: 444 loss: 3.3596e-05, mul_7_loss: 1.5470e-05, sub_1_loss: 1.8126e-05\n","itr: 444 loss: 3.3536e-05, mul_7_loss: 1.5473e-05, sub_1_loss: 1.8063e-05\n","itr: 445 loss: 3.3521e-05, mul_7_loss: 1.5444e-05, sub_1_loss: 1.8077e-05\n","itr: 446 loss: 3.3510e-05, mul_7_loss: 1.5425e-05, sub_1_loss: 1.8085e-05\n","itr: 447 loss: 3.3498e-05, mul_7_loss: 1.5412e-05, sub_1_loss: 1.8086e-05\n","itr: 448 loss: 3.3465e-05, mul_7_loss: 1.5402e-05, sub_1_loss: 1.8063e-05\n","itr: 449 loss: 3.3431e-05, mul_7_loss: 1.5407e-05, sub_1_loss: 1.8024e-05\n","itr: 450 loss: 3.3400e-05, mul_7_loss: 1.5423e-05, sub_1_loss: 1.7978e-05\n","itr: 451 loss: 3.3383e-05, mul_7_loss: 1.5427e-05, sub_1_loss: 1.7956e-05\n","itr: 452 loss: 3.3358e-05, mul_7_loss: 1.5443e-05, sub_1_loss: 1.7915e-05\n","itr: 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1.7779e-05\n","itr: 465 loss: 3.3030e-05, mul_7_loss: 1.5201e-05, sub_1_loss: 1.7829e-05\n","itr: 465 loss: 3.2988e-05, mul_7_loss: 1.5199e-05, sub_1_loss: 1.7790e-05\n","itr: 466 loss: 3.2965e-05, mul_7_loss: 1.5180e-05, sub_1_loss: 1.7785e-05\n","itr: 467 loss: 3.2936e-05, mul_7_loss: 1.5160e-05, sub_1_loss: 1.7776e-05\n","itr: 468 loss: 3.2920e-05, mul_7_loss: 1.5155e-05, sub_1_loss: 1.7766e-05\n","itr: 469 loss: 3.2901e-05, mul_7_loss: 1.5138e-05, sub_1_loss: 1.7763e-05\n","itr: 470 loss: 3.2884e-05, mul_7_loss: 1.5127e-05, sub_1_loss: 1.7757e-05\n","itr: 471 loss: 3.2860e-05, mul_7_loss: 1.5108e-05, sub_1_loss: 1.7752e-05\n","itr: 472 loss: 3.2838e-05, mul_7_loss: 1.5085e-05, sub_1_loss: 1.7753e-05\n","itr: 473 loss: 3.2780e-05, mul_7_loss: 1.5006e-05, sub_1_loss: 1.7775e-05\n","itr: 474 loss: 3.2919e-05, mul_7_loss: 1.5086e-05, sub_1_loss: 1.7833e-05\n","itr: 474 loss: 3.2762e-05, mul_7_loss: 1.4988e-05, sub_1_loss: 1.7774e-05\n","itr: 475 loss: 3.2736e-05, mul_7_loss: 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1.7665e-05\n","itr: 496 loss: 3.2053e-05, mul_7_loss: 1.4426e-05, sub_1_loss: 1.7627e-05\n","itr: 497 loss: 3.2002e-05, mul_7_loss: 1.4403e-05, sub_1_loss: 1.7599e-05\n","itr: 498 loss: 3.1952e-05, mul_7_loss: 1.4402e-05, sub_1_loss: 1.7550e-05\n","itr: 499 loss: 3.1937e-05, mul_7_loss: 1.4420e-05, sub_1_loss: 1.7517e-05\n","itr: 500 loss: 3.1911e-05, mul_7_loss: 1.4409e-05, sub_1_loss: 1.7502e-05\n","itr: 501 loss: 3.1884e-05, mul_7_loss: 1.4400e-05, sub_1_loss: 1.7484e-05\n","itr: 502 loss: 3.1843e-05, mul_7_loss: 1.4377e-05, sub_1_loss: 1.7466e-05\n","itr: 503 loss: 3.1800e-05, mul_7_loss: 1.4328e-05, sub_1_loss: 1.7471e-05\n","itr: 504 loss: 3.2609e-05, mul_7_loss: 1.5041e-05, sub_1_loss: 1.7568e-05\n","itr: 504 loss: 3.1790e-05, mul_7_loss: 1.4320e-05, sub_1_loss: 1.7470e-05\n","itr: 505 loss: 3.1767e-05, mul_7_loss: 1.4278e-05, sub_1_loss: 1.7489e-05\n","itr: 506 loss: 3.1752e-05, mul_7_loss: 1.4247e-05, sub_1_loss: 1.7505e-05\n","itr: 507 loss: 3.1730e-05, mul_7_loss: 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1.1916e-05\n","itr: 1962 loss: 1.8740e-05, mul_7_loss: 6.8226e-06, sub_1_loss: 1.1917e-05\n","itr: 1963 loss: 1.8736e-05, mul_7_loss: 6.8146e-06, sub_1_loss: 1.1922e-05\n","itr: 1964 loss: 1.8732e-05, mul_7_loss: 6.8162e-06, sub_1_loss: 1.1916e-05\n","itr: 1965 loss: 1.8729e-05, mul_7_loss: 6.8175e-06, sub_1_loss: 1.1912e-05\n","itr: 1966 loss: 1.8721e-05, mul_7_loss: 6.8284e-06, sub_1_loss: 1.1892e-05\n","itr: 1967 loss: 1.8716e-05, mul_7_loss: 6.8325e-06, sub_1_loss: 1.1884e-05\n","itr: 1968 loss: 1.8709e-05, mul_7_loss: 6.8376e-06, sub_1_loss: 1.1871e-05\n","itr: 1969 loss: 1.8698e-05, mul_7_loss: 6.8411e-06, sub_1_loss: 1.1857e-05\n","itr: 1970 loss: 1.8692e-05, mul_7_loss: 6.8384e-06, sub_1_loss: 1.1853e-05\n","itr: 1971 loss: 1.8682e-05, mul_7_loss: 6.8418e-06, sub_1_loss: 1.1840e-05\n","itr: 1972 loss: 1.8677e-05, mul_7_loss: 6.8386e-06, sub_1_loss: 1.1838e-05\n","itr: 1973 loss: 1.8672e-05, mul_7_loss: 6.8344e-06, sub_1_loss: 1.1837e-05\n","itr: 1974 loss: 1.8667e-05, 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9.1985e-06\n","itr: 4960 loss: 1.3089e-05, mul_7_loss: 3.8910e-06, sub_1_loss: 9.1975e-06\n","itr: 4961 loss: 1.3088e-05, mul_7_loss: 3.8876e-06, sub_1_loss: 9.2001e-06\n","itr: 4962 loss: 1.3087e-05, mul_7_loss: 3.8875e-06, sub_1_loss: 9.1993e-06\n","itr: 4963 loss: 1.3086e-05, mul_7_loss: 3.8876e-06, sub_1_loss: 9.1980e-06\n","itr: 4964 loss: 1.3084e-05, mul_7_loss: 3.8880e-06, sub_1_loss: 9.1959e-06\n","itr: 4965 loss: 1.3082e-05, mul_7_loss: 3.8900e-06, sub_1_loss: 9.1916e-06\n","itr: 4966 loss: 1.3080e-05, mul_7_loss: 3.8885e-06, sub_1_loss: 9.1913e-06\n","itr: 4967 loss: 1.3079e-05, mul_7_loss: 3.8879e-06, sub_1_loss: 9.1906e-06\n","itr: 4968 loss: 1.3077e-05, mul_7_loss: 3.8863e-06, sub_1_loss: 9.1912e-06\n","itr: 4969 loss: 1.3076e-05, mul_7_loss: 3.8836e-06, sub_1_loss: 9.1927e-06\n","itr: 4970 loss: 1.3074e-05, mul_7_loss: 3.8780e-06, sub_1_loss: 9.1963e-06\n","itr: 4971 loss: 1.3085e-05, mul_7_loss: 3.8844e-06, sub_1_loss: 9.2006e-06\n","itr: 4971 loss: 1.3074e-05, mul_7_loss: 3.8781e-06, sub_1_loss: 9.1960e-06\n","itr: 4972 loss: 1.3073e-05, mul_7_loss: 3.8744e-06, sub_1_loss: 9.1990e-06\n","itr: 4973 loss: 1.3073e-05, mul_7_loss: 3.8721e-06, sub_1_loss: 9.2008e-06\n","itr: 4974 loss: 1.3072e-05, mul_7_loss: 3.8701e-06, sub_1_loss: 9.2019e-06\n","itr: 4975 loss: 1.3071e-05, mul_7_loss: 3.8676e-06, sub_1_loss: 9.2035e-06\n","itr: 4976 loss: 1.3070e-05, mul_7_loss: 3.8669e-06, sub_1_loss: 9.2030e-06\n","itr: 4977 loss: 1.3069e-05, mul_7_loss: 3.8668e-06, sub_1_loss: 9.2025e-06\n","itr: 4978 loss: 1.3069e-05, mul_7_loss: 3.8670e-06, sub_1_loss: 9.2018e-06\n","itr: 4979 loss: 1.3068e-05, mul_7_loss: 3.8673e-06, sub_1_loss: 9.2010e-06\n","itr: 4980 loss: 1.3067e-05, mul_7_loss: 3.8672e-06, sub_1_loss: 9.2001e-06\n","itr: 4981 loss: 1.3066e-05, mul_7_loss: 3.8648e-06, sub_1_loss: 9.2014e-06\n","itr: 4982 loss: 1.3065e-05, mul_7_loss: 3.8686e-06, sub_1_loss: 9.1966e-06\n","itr: 4983 loss: 1.3064e-05, mul_7_loss: 3.8644e-06, sub_1_loss: 9.1995e-06\n","itr: 4984 loss: 1.3063e-05, mul_7_loss: 3.8642e-06, sub_1_loss: 9.1992e-06\n","itr: 4985 loss: 1.3063e-05, mul_7_loss: 3.8643e-06, sub_1_loss: 9.1983e-06\n","itr: 4986 loss: 1.3062e-05, mul_7_loss: 3.8634e-06, sub_1_loss: 9.1983e-06\n","itr: 4987 loss: 1.3060e-05, mul_7_loss: 3.8603e-06, sub_1_loss: 9.1993e-06\n","itr: 4988 loss: 1.3057e-05, mul_7_loss: 3.8550e-06, sub_1_loss: 9.2020e-06\n","itr: 4989 loss: 1.3063e-05, mul_7_loss: 3.8530e-06, sub_1_loss: 9.2099e-06\n","itr: 4989 loss: 1.3056e-05, mul_7_loss: 3.8524e-06, sub_1_loss: 9.2036e-06\n","itr: 4990 loss: 1.3053e-05, mul_7_loss: 3.8473e-06, sub_1_loss: 9.2060e-06\n","itr: 4991 loss: 1.3052e-05, mul_7_loss: 3.8456e-06, sub_1_loss: 9.2060e-06\n","itr: 4992 loss: 1.3051e-05, mul_7_loss: 3.8453e-06, sub_1_loss: 9.2052e-06\n","itr: 4993 loss: 1.3049e-05, mul_7_loss: 3.8448e-06, sub_1_loss: 9.2044e-06\n","itr: 4994 loss: 1.3047e-05, mul_7_loss: 3.8443e-06, sub_1_loss: 9.2031e-06\n","itr: 4995 loss: 1.3056e-05, mul_7_loss: 3.8617e-06, sub_1_loss: 9.1946e-06\n","itr: 4995 loss: 1.3047e-05, mul_7_loss: 3.8459e-06, sub_1_loss: 9.2010e-06\n","itr: 4996 loss: 1.3046e-05, mul_7_loss: 3.8457e-06, sub_1_loss: 9.2003e-06\n","itr: 4997 loss: 1.3044e-05, mul_7_loss: 3.8441e-06, sub_1_loss: 9.2003e-06\n","itr: 4998 loss: 1.3043e-05, mul_7_loss: 3.8418e-06, sub_1_loss: 9.2010e-06\n","itr: 4999 loss: 1.3041e-05, mul_7_loss: 3.8423e-06, sub_1_loss: 9.1988e-06\n","Training time: 17.25 minutes\n"],"name":"stdout"}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":321},"id":"pbcc3qYFyG3I","executionInfo":{"status":"ok","timestamp":1617622181248,"user_tz":-180,"elapsed":1319588,"user":{"displayName":"Umair bin Waheed","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjqim6lA6I3m073KKV1QGaclFO3cGZY8egrRo3a=s64","userId":"00809387776046207752"}},"outputId":"91e32afc-1c5b-4a1b-b0ae-81bda19a47df"},"source":["# Convergence history plot for verification\n","\n","fig = plt.figure(figsize=(5,3))\n","ax = plt.axes()\n","ax.semilogy(hist.history['loss'],LineWidth=2)\n","\n","ax.set_xlabel('Epochs',fontsize=16)\n","\n","plt.xticks(fontsize=12)\n","\n","ax.set_ylabel('Loss',fontsize=16)\n","plt.yticks(fontsize=12);\n","plt.grid()"],"execution_count":41,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 500x300 with 1 Axes>"]},"metadata":{"tags":[]}}]},{"cell_type":"code","metadata":{"id":"h9VrVtiryohx","executionInfo":{"status":"ok","timestamp":1617622182264,"user_tz":-180,"elapsed":1320600,"user":{"displayName":"Umair bin Waheed","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjqim6lA6I3m073KKV1QGaclFO3cGZY8egrRo3a=s64","userId":"00809387776046207752"}}},"source":["tau_pred = tau.eval(model, X_star + [velmodel,pz0,px0,T0])\n","T_pred = tau_pred*T0\n","\n","T_pred = T_pred.reshape(Z.shape)\n","\n","v_pred = vt.eval(model, X_star + [velmodel,pz0,px0,T0])\n","v_pred = v_pred.reshape(Z.shape)[:,:,0]"],"execution_count":42,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":369},"id":"100lwamn1w88","executionInfo":{"status":"ok","timestamp":1617622182265,"user_tz":-180,"elapsed":1320591,"user":{"displayName":"Umair bin Waheed","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjqim6lA6I3m073KKV1QGaclFO3cGZY8egrRo3a=s64","userId":"00809387776046207752"}},"outputId":"a2ab2f9e-3b3a-4368-d391-ebd4eeafefb1"},"source":["# Plot the PINN solution error\n","\n","plt.style.use('default')\n","\n","plt.figure(figsize=(4,4))\n","\n","ax = plt.gca()\n","im = ax.imshow(T_pred[:,:,1]-T_data.reshape(Z.shape)[:,:,1], extent=[xmin,xmax,zmax,zmin], aspect=1, cmap=\"jet\")\n","\n","\n","plt.xlabel('Offset (km)', fontsize=14)\n","plt.xticks(fontsize=10)\n","\n","plt.ylabel('Depth (km)', fontsize=14)\n","plt.yticks(fontsize=10)\n","\n","ax.xaxis.set_major_locator(plt.MultipleLocator(0.5))\n","ax.yaxis.set_major_locator(plt.MultipleLocator(0.5))\n","\n","divider = make_axes_locatable(ax)\n","cax = divider.append_axes(\"right\", size=\"6%\", pad=0.15)\n","\n","cbar = plt.colorbar(im, cax=cax)\n","\n","cbar.set_label('seconds',size=10)\n","cbar.ax.tick_params(labelsize=10)\n","\n","#plt.savefig(\"./figs/vofz/pinnerror.pdf\", format='pdf', bbox_inches=\"tight\")"],"execution_count":43,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 400x400 with 2 Axes>"]},"metadata":{"tags":[]}}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":369},"id":"vGHjvj6o6RXO","executionInfo":{"status":"ok","timestamp":1617622182733,"user_tz":-180,"elapsed":1321046,"user":{"displayName":"Umair bin Waheed","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjqim6lA6I3m073KKV1QGaclFO3cGZY8egrRo3a=s64","userId":"00809387776046207752"}},"outputId":"82bde298-48c9-4c53-e984-d3341db405ae"},"source":["# Plot the PINN solution error\n","\n","plt.style.use('default')\n","\n","plt.figure(figsize=(4,4))\n","\n","ax = plt.gca()\n","im = ax.imshow(v_ini, extent=[xmin,xmax,zmax,zmin], aspect=1, cmap=\"jet\")\n","\n","\n","plt.xlabel('Offset (km)', fontsize=14)\n","plt.xticks(fontsize=10)\n","\n","plt.ylabel('Depth (km)', fontsize=14)\n","plt.yticks(fontsize=10)\n","\n","ax.xaxis.set_major_locator(plt.MultipleLocator(0.5))\n","ax.yaxis.set_major_locator(plt.MultipleLocator(0.5))\n","\n","divider = make_axes_locatable(ax)\n","cax = divider.append_axes(\"right\", size=\"6%\", pad=0.15)\n","\n","cbar = plt.colorbar(im, cax=cax)\n","cbar.mappable.set_clim(1.4,4.36)\n","\n","cbar.set_label('km/s',size=10)\n","cbar.ax.tick_params(labelsize=10)\n","\n","plt.savefig(\"./figs/seam_model/vel_ini.pdf\", format='pdf', bbox_inches=\"tight\")"],"execution_count":44,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 400x400 with 2 Axes>"]},"metadata":{"tags":[]}}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":370},"id":"ysisPu3c5nu_","executionInfo":{"status":"ok","timestamp":1617622184038,"user_tz":-180,"elapsed":1322338,"user":{"displayName":"Umair bin Waheed","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjqim6lA6I3m073KKV1QGaclFO3cGZY8egrRo3a=s64","userId":"00809387776046207752"}},"outputId":"d585f56c-963c-4328-a6a1-babad126b073"},"source":["# Plot the PINN solution error\n","\n","plt.style.use('default')\n","\n","plt.figure(figsize=(4,4))\n","\n","ax = plt.gca()\n","im = ax.imshow(v_pred, extent=[xmin,xmax,zmax,zmin], aspect=1, cmap=\"jet\")\n","\n","\n","plt.xlabel('Offset (km)', fontsize=14)\n","plt.xticks(fontsize=11)\n","\n","plt.ylabel('Depth (km)', fontsize=14)\n","plt.yticks(fontsize=11)\n","\n","ax.xaxis.set_major_locator(plt.MultipleLocator(0.5))\n","ax.yaxis.set_major_locator(plt.MultipleLocator(0.5))\n","\n","divider = make_axes_locatable(ax)\n","cax = divider.append_axes(\"right\", size=\"6%\", pad=0.15)\n","\n","cbar = plt.colorbar(im, cax=cax)\n","cbar.mappable.set_clim(1.4,4.36)\n","\n","cbar.set_label('km/s',size=10)\n","cbar.ax.tick_params(labelsize=10)\n","\n","plt.savefig(\"./figs/seam_model/vel_inv.pdf\", format='pdf', bbox_inches=\"tight\")"],"execution_count":45,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 400x400 with 2 Axes>"]},"metadata":{"tags":[]}}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":370},"id":"nMEtGSW5wwtF","executionInfo":{"status":"ok","timestamp":1617622185104,"user_tz":-180,"elapsed":1323391,"user":{"displayName":"Umair bin Waheed","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjqim6lA6I3m073KKV1QGaclFO3cGZY8egrRo3a=s64","userId":"00809387776046207752"}},"outputId":"ae175650-3b2d-4a9b-8cae-a66708a9b2e6"},"source":["# Plot the PINN solution error\n","\n","plt.style.use('default')\n","\n","plt.figure(figsize=(4,4))\n","\n","ax = plt.gca()\n","im = ax.imshow(np.abs(v_pred-velmodel.reshape(Z.shape)[:,:,0]), extent=[xmin,xmax,zmax,zmin], aspect=1, cmap=\"jet\")\n","\n","\n","plt.xlabel('Offset (km)', fontsize=14)\n","plt.xticks(fontsize=11)\n","\n","plt.ylabel('Depth (km)', fontsize=14)\n","plt.yticks(fontsize=11)\n","\n","ax.xaxis.set_major_locator(plt.MultipleLocator(0.5))\n","ax.yaxis.set_major_locator(plt.MultipleLocator(0.5))\n","\n","divider = make_axes_locatable(ax)\n","cax = divider.append_axes(\"right\", size=\"6%\", pad=0.15)\n","\n","cbar = plt.colorbar(im, cax=cax)\n","\n","cbar.set_label('km/s',size=10)\n","cbar.ax.tick_params(labelsize=10)\n","\n","plt.savefig(\"./figs/seam_model/pinnerror.pdf\", format='pdf', bbox_inches=\"tight\")"],"execution_count":46,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 400x400 with 2 Axes>"]},"metadata":{"tags":[]}}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":479},"id":"QnSrA6Bdv51j","executionInfo":{"status":"ok","timestamp":1617622186377,"user_tz":-180,"elapsed":1324652,"user":{"displayName":"Umair bin Waheed","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjqim6lA6I3m073KKV1QGaclFO3cGZY8egrRo3a=s64","userId":"00809387776046207752"}},"outputId":"b07f9781-9f2f-4977-fa0b-0a1aa962ef55"},"source":["plt.style.use('default')\n","\n","plt.figure(figsize=(3,5))\n","\n","plt.rcParams['xtick.bottom'] = plt.rcParams['xtick.labelbottom'] = False\n","plt.rcParams['xtick.top'] = plt.rcParams['xtick.labeltop'] = True\n","\n","ax = plt.gca()\n","#ax.xaxis.set_tick_params(labeltop='on')\n","\n","v_true = velmodel.reshape(Z.shape)[:,:,0]\n","\n","plt.plot(v_ini[:,40],z,'b:')\n","plt.plot(v_true[:,40],z,'k')\n","plt.plot(v_pred[:,40],z,'r--')\n","\n","ax.set_title('Velocity (km/s)', fontsize=14)\n","plt.xticks(fontsize=11)\n","\n","plt.ylabel('Depth (km)', fontsize=14)\n","plt.yticks(fontsize=11)\n","\n","plt.ylim([0,1])\n","plt.xlim([1.,4.5])\n","\n","plt.gca().invert_yaxis()\n","\n","plt.legend(['Initial','True','Inverted'], fontsize=11)\n","\n","plt.grid()\n","\n","plt.savefig(\"./figs/seam_model/vel_trace1.pdf\", format='pdf', bbox_inches=\"tight\")"],"execution_count":47,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 300x500 with 1 Axes>"]},"metadata":{"tags":[]}}]},{"cell_type":"code","metadata":{"id":"amIiHUsKn_r5","colab":{"base_uri":"https://localhost:8080/","height":479},"executionInfo":{"status":"ok","timestamp":1617622187615,"user_tz":-180,"elapsed":1325879,"user":{"displayName":"Umair bin Waheed","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjqim6lA6I3m073KKV1QGaclFO3cGZY8egrRo3a=s64","userId":"00809387776046207752"}},"outputId":"a928b9f3-5a76-4603-ebda-956f519149a8"},"source":["plt.style.use('default')\n","\n","plt.figure(figsize=(3,5))\n","\n","plt.rcParams['xtick.bottom'] = plt.rcParams['xtick.labelbottom'] = False\n","plt.rcParams['xtick.top'] = plt.rcParams['xtick.labeltop'] = True\n","\n","ax = plt.gca()\n","#ax.xaxis.set_tick_params(labeltop='on')\n","\n","v_true = velmodel.reshape(Z.shape)[:,:,0]\n","\n","plt.plot(v_ini[:,80],z,'b:')\n","plt.plot(v_true[:,80],z,'k')\n","plt.plot(v_pred[:,80],z,'r--')\n","\n","\n","ax.set_title('Velocity (km/s)', fontsize=14)\n","plt.xticks(fontsize=11)\n","\n","plt.ylabel('Depth (km)', fontsize=14)\n","plt.yticks(fontsize=11)\n","\n","plt.ylim([0,1])\n","plt.xlim([1.,4.5])\n","\n","plt.gca().invert_yaxis()\n","\n","plt.legend(['Initial','True','Inverted'], fontsize=11)#loc='upper right')\n","\n","plt.grid()\n","\n","plt.savefig(\"./figs/seam_model/vel_trace2.pdf\", format='pdf', bbox_inches=\"tight\")"],"execution_count":48,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 300x500 with 1 Axes>"]},"metadata":{"tags":[]}}]},{"cell_type":"code","metadata":{"id":"gsQqsC4V3ztU","colab":{"base_uri":"https://localhost:8080/","height":479},"executionInfo":{"status":"ok","timestamp":1617622189115,"user_tz":-180,"elapsed":1327368,"user":{"displayName":"Umair bin Waheed","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjqim6lA6I3m073KKV1QGaclFO3cGZY8egrRo3a=s64","userId":"00809387776046207752"}},"outputId":"19cb4bca-bac2-43b9-f8cd-bb6f56ffe99a"},"source":["plt.style.use('default')\n","\n","plt.figure(figsize=(3,5))\n","\n","plt.rcParams['xtick.bottom'] = plt.rcParams['xtick.labelbottom'] = False\n","plt.rcParams['xtick.top'] = plt.rcParams['xtick.labeltop'] = True\n","\n","ax = plt.gca()\n","#ax.xaxis.set_tick_params(labeltop='on')\n","\n","\n","plt.plot(T_data.reshape(Z.shape)[:,-1,10],z,'k-')\n","plt.plot(T_pred.reshape(Z.shape)[:,-1,10],z,'r--')\n","\n","\n","ax.set_title('Time (s)', fontsize=14)\n","plt.xticks(fontsize=11)\n","\n","plt.ylabel('Depth (km)', fontsize=14)\n","plt.yticks(fontsize=11)\n","\n","plt.ylim([0,1])\n","#plt.xlim([1.25,4.5])\n","\n","plt.gca().invert_yaxis()\n","\n","plt.legend(['Observed','Predicted'],fontsize=11)\n","\n","plt.grid()\n","\n","plt.savefig(\"./figs/seam_model/data_fit1.pdf\", format='pdf', bbox_inches=\"tight\")"],"execution_count":49,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 300x500 with 1 Axes>"]},"metadata":{"tags":[]}}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"T9l0MFxykOZt","executionInfo":{"status":"ok","timestamp":1617622189116,"user_tz":-180,"elapsed":1327358,"user":{"displayName":"Umair bin Waheed","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gjqim6lA6I3m073KKV1QGaclFO3cGZY8egrRo3a=s64","userId":"00809387776046207752"}},"outputId":"d4be7f48-5eb2-4bcc-c581-9068d21c6ac6"},"source":["np.min(v_ini)"],"execution_count":50,"outputs":[{"output_type":"execute_result","data":{"text/plain":["2.582882001861717"]},"metadata":{"tags":[]},"execution_count":50}]}]}