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Bicausal optimal transport for sdes with irregular coefficients

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math.OC 1

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2026 1

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Analytical Approach to Continuous-Time Causal Optimal Transport

math.OC · 2026-05-19 · unverdicted · novelty 7.0

Causal optimal transport value between finite-state Markov source and diffusion target is characterized by a nonlinear parabolic master equation on enlarged state space and shown equivalent to Kushner-Stratonovich filtering control with zero-mean condition and state-constrained control.

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  • Analytical Approach to Continuous-Time Causal Optimal Transport math.OC · 2026-05-19 · unverdicted · none · ref 13

    Causal optimal transport value between finite-state Markov source and diffusion target is characterized by a nonlinear parabolic master equation on enlarged state space and shown equivalent to Kushner-Stratonovich filtering control with zero-mean condition and state-constrained control.