Reproduce “Entering the Era of Discrete Diffusion Models: A Benchmark for Schrödinger Bridges and Entropic Optimal Transport” on OpenResearch
Turn your favorite coding agents into research agents that review literature, develop hypotheses, and run experiments.
Universal app for Apple silicon and Intel. Requires macOS 11 or later.
About this paper
Xavier Aramayo Carrasco, Grigoriy Ksenofontov, Aleksei Leonov, Iaroslav Sergeevich Koshelev, Alexander Korotin
A benchmark for Schrödinger bridge problems on discrete spaces is introduced, featuring analytically known ground-truth solutions for rigorous solver evaluation. The paper also develops new discrete-space solvers, DLightSB and DLightSB-M, which achieve high accuracy but reveal memory scalability limitations in high dimensions.
Key insights
- The use of a rank-1 Canonical Polyadic decomposition enables the tractable construction of high-dimensional discrete Schrödinger bridge problems with known ground truth.
- Solvers whose parameterization aligns with the benchmark's construction, such as DLightSB and DLightSB-M, demonstrate superior accuracy in modeling the true solutions.
- Existing discrete SB methods (CSBM, \u03B1-CSBM) show sensitivity to hyperparameter choices and loss functions, with KL divergence outperforming Mean Squared Error.
Summary by alphaXiv.
Tip: change arxiv.org to autoarxiv.org in any arXiv abstract link to open the paper here.