arXiv AI By Felix X. -F. Ye, Yu Chin Fabian Lim, Naigang Wang, Davis Wertheimer

FlashSinkhorn 2: Block-Sparse Entropic Optimal Transport

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arXiv Machine Learning
Sep 3

GRADSOLVE: fast exact gradients for ODE ensembles on GPUs

GRADSOLVE is an open‑source JAX library that provides fast, exact reverse‑mode gradients for low‑dimensional ordinary differential equation (ODE) ensembles on NVIDIA GPUs. It records the accepted steps of an adaptive solver and differentiates a fixed‑step replay, yielding the exact discrete adjoint at a lower computational cost than traditional checkpointed methods. Benchmarks show that GRADSOLVE’s forward kernel is 2.8× faster than DiffEqGPU.jl, and its gradient computation is 5.6–14.1× faster than Diffrax’s checkpointed adjoint while maintaining matched forward‑state accuracy across multiple GPU generations.

By Alessio Spurio Mancini