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cs.LG2025
Generative Stochastic Optimal Transport: Guided Harmonic Path-Integral Diffusion
Michael Chertkov
We introduce Guided Harmonic Path-Integral Diffusion (GH-PID), a linearly-solvable framework for guided Stochastic Optimal Transport (SOT) with a hard terminal distribution and sof…
cs.LG2025
Adaptive Path Integral Diffusion: AdaPID
Michael Chertkov, Hamidreza Behjoo
Diffusion-based samplers -- Score Based Diffusions, Bridge Diffusions and Path Integral Diffusions -- match a target at terminal time, but the real leverage comes from choosing the…
cs.LG2025
Sampling Decisions: Exact Path-Space Control for Physics-Informed Generative Sampling
Michael Chertkov, Hamidreza Behjoo, Sungsoo Ahn
Scientific generative models must turn tractable local decisions into globally correlated samples that respect physical constraints. We introduce Sampling Decisions, a finite-horiz…