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math.OC2026
On the Equivalence of Stochastic Control and Path Space Formulations for Schrödinger Bridges over Compact Connected Lie Groups
Hamza Mahmood, Georgiy A. Bondar, Abhishek Halder +1
We establish the equivalence between the stochastic optimal control and path space formulations of the Schrödinger bridge problem (SBP) for the kinematic equation on a compact conn…
math.OC2026
A Geometric Solution of the Schrödinger Bridge Problem on via Stochastic Optimal Control
Hamza Mahmood, Adeel Akhtar
We present a geometric coordinate-free solution to the isotropic Schrödinger bridge problem (SBP) for the kinematic equation on the Lie group . We consider the angu…
math.OC2026
Schrödinger Bridge Over A Compact Connected Lie Group
Hamza Mahmood, Abhishek Halder, Adeel Akhtar
This work studies the Schrödinger bridge problem for the kinematic equation on a compact connected Lie group. The objective is to steer a controlled diffusion between given initial…