This project uses standard statistical primitives and then composes them into app-specific burst windows, draft bins, and API payloads. The burstiness signal is the primary input to adaptive temporal scaling (see TEMPORAL_SCALING_CHARACTERIZATION.md), and density is used only for visualisation (density strip, count summary).
- Goh, K.-I., & Barabasi, A.-L. (2008). Burstiness and memory in complex systems. EPL (Europhysics Letters), 81(4), 48002. https://doi.org/10.1209/0295-5075/81/48002
- Source of the inter-event coefficient
B = (sigma - mu) / (sigma + mu)used in the detect flow.
- Shannon, C. E. (1948). A Mathematical Theory of Communication. Bell System Technical Journal, 27(3), 379-423. https://doi.org/10.1002/j.1538-7305.1948.tb01338.x
- Batty, M. (1974). Spatial Entropy. Geographical Analysis, 6(1), 1-31. https://doi.org/10.1111/j.1538-4632.1974.tb01014.x
- Kalantari, M., Ghavagh, A. R., Toomanian, A., & Dero, Q. Y. (2016). A New Methodological Framework for Crime Spatial Analysis Using Local Entropy Map. Modern Applied Science, 10(9), 179. https://doi.org/10.5539/mas.v10n9p179
- Lin, J. (1991). Divergence measures based on the Shannon entropy. IEEE Transactions on Information Theory, 37(1), 145-151. https://doi.org/10.1109/18.61115
computeSpatialBBinned()supports selectable spatial formulas: ANN, entropy, JS divergence, and the balanced composite.- The balanced default combines entropy-based concentration with Jensen-Shannon divergence as
clamp01(concentration * (0.25 + 0.75 * surprise))so low-divergence bins still retain a stable floor. combinedBin the API is a project-specific weighting of temporal and spatial scores.- Burst ranking, thresholds, and slice allocation are app logic, not borrowed directly from a single paper.
src/components/dashboard-demo/lib/demo-burst-generation.ts- local draft-bin burst scoring.src/lib/burst-detection.ts- shared burst scoring helpers and spatial metric.src/app/api/adaptive/bursts/route.ts- API composition of temporal and spatial burst scores.
The temporal coefficient is literature-backed, the spatial ingredients are literature-backed, and the final burst pipeline is a project-specific composition of those pieces.