technique

Biconvex Optimization

techniqueactiveprovisionalbiconvex-optimization-5f988e9d·1 events·first seen 15d ago

Aliases: Biconvex Optimization

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Optimal Transport Single-Cell RNA Sequencing Optimal Mixture Transport (OMT)Exponential Family Distributions

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differentiable convex optimization distributed optimization Private Stochastic Convex Optimization Bayesian Optimization ConvexTok Proximal Policy Optimization Bayesian Multiobjective Optimization Boundary Sharpening Mondrian Conformal Prediction Frank-Wolfe Optimization Vector Policy Optimization FastConformer-Large

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5arXiv · cs.LG·15d ago·source ↗

Optimal Mixture Transport (OMT): Biconvex Formulation for Scalable, Stable Optimal Transport

This paper introduces Optimal Mixture Transport (OMT), a framework that reformulates optimal transport between probability distributions as a strictly biconvex optimization problem with a provably unique global minimizer. By operating at the level of mixture components (modeled as exponential-family distributions) rather than individual samples, OMT decouples computational complexity from sample size. The authors provide theoretical stability guarantees showing bounded perturbations yield bounded changes in transport plans, and validate the approach on image data and large-scale single-cell RNA sequencing datasets.

Training Infrastructure Evaluation and Benchmarking Optimal Transport Single-Cell RNA Sequencing Biconvex Optimization +2 more