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BarakGahtan/differentiable-eikonal-wildfire: Differentiable Eikonal Wildfire

Authors: Barak Gahtan;

BarakGahtan/differentiable-eikonal-wildfire: Differentiable Eikonal Wildfire

Abstract

Wildfire Simulation with Differentiable Randers-Finsler Eikonal Solvers Barak Gahtan, Jacob Shpund, Alex M. Bronstein Technion – Israel Institute of Technology, The Hebrew University of Jerusalem, ISTA This repository provides the code accompanying the paper Wildfire Simulation with Differentiable Randers-Finsler Eikonal Solvers. The framework solves and differentiates through the Randers-Finsler eikonal equation $$(\nabla T - \mathbf{b})^\top \mathbf{G}^{-1} (\nabla T - \mathbf{b}) = 1,$$ where $\mathbf{G}(\mathbf{x})$ is a spatially-varying metric tensor encoding anisotropic propagation and $\mathbf{b}(\mathbf{x})$ is a drift vector capturing directional bias. The forward solver uses fast sweeping with eight triangular stencils, converging in 2–3 iterations independent of grid size. The backward pass applies implicit differentiation to the converged solution, computing parameter gradients by solving a sparse lower-triangular adjoint system in a single reverse-time pass. A neural network encoder maps environmental covariates (terrain, fuel, weather) to Randers metric parameters, trained end-to-end through the solver. On the Sim2Real-Fire dataset, the framework achieves mean test correlation of 0.824 for within-scene generalization and 0.766 for cross-scene transfer to unseen geographic regions.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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