Optimal transport for single-cell and spatial omics

C Bunne, G Schiebinger, A Krause, A Regev… - Nature Reviews …, 2024 - nature.com
High-throughput single-cell profiling provides an unprecedented ability to uncover the
molecular states of millions of cells. These technologies are, however, destructive to cells …

Soft-constrained Schrödinger Bridge: a Stochastic Control Approach

J Garg, X Zhang, Q Zhou - International Conference on …, 2024 - proceedings.mlr.press
Schrödinger bridge can be viewed as a continuous-time stochastic control problem where
the goal is to find an optimally controlled diffusion process whose terminal distribution …

Generative Diffusion From An Action Principle

A Premkumar - arXiv preprint arXiv:2310.04490, 2023 - arxiv.org
Generative diffusion models synthesize new samples by reversing a diffusive process that
converts a given data set to generic noise. This is accomplished by training a neural network …

The Score-Difference Flow for Implicit Generative Modeling

RM Weber - arXiv preprint arXiv:2304.12906, 2023 - arxiv.org
Implicit generative modeling (IGM) aims to produce samples of synthetic data matching the
characteristics of a target data distribution. Recent work (eg score-matching networks …

One-step data-driven generative model via Schr\" odinger Bridge

H Huang - arXiv preprint arXiv:2405.12453, 2024 - arxiv.org
Generating samples from a probability distribution is a fundamental task in machine learning
and statistics. This article proposes a novel scheme for sampling from a distribution for which …

Schrodinger Bridge to Bridge Generative Diffusion Method to Off-Policy Evaluation

Y Lin, L Xu, H Cao, H Yuan, J Lu - openreview.net
The problem of off-policy evaluation (OPE) in reinforcement learning (RL), which evaluates a
given policy using data collected from a different behavior policy, plays an important role in …