Tag: schr
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Forward Reverse Kernel Regression for the Schr”{o}dinger bridge problem
Forward Reverse Kernel Regression for the Schr”{o}dinger bridge problem arXiv:2507.00640v1 Announce Type: new Abstract: In this paper, we study the Schr”odinger Bridge Problem (SBP), which is central to entropic optimal transport. For general reference processes and begin–endpoint distributions, we propose a forward-reverse iterative Monte Carlo procedure to approximate the Schr”odinger potentials in a nonparametric way.…
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Adjoint Schr”odinger Bridge Sampler
Adjoint Schr”odinger Bridge Sampler arXiv:2506.22565v1 Announce Type: new Abstract: Computational methods for learning to sample from the Boltzmann distribution — where the target distribution is known only up to an unnormalized energy function — have advanced significantly recently. Due to the lack of explicit target samples, however, prior diffusion-based methods, known as diffusion samplers, often…
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Operator Learning for Schr”{o}dinger Equation: Unitarity, Error Bounds, and Time Generalization
Operator Learning for Schr”{o}dinger Equation: Unitarity, Error Bounds, and Time Generalization arXiv:2505.18288v1 Announce Type: new Abstract: We consider the problem of learning the evolution operator for the time-dependent Schr”{o}dinger equation, where the Hamiltonian may vary with time. Existing neural network-based surrogates often ignore fundamental properties of the Schr”{o}dinger equation, such as linearity and unitarity, and…