菜单

关于 🐙 GitHub
arXiv 提交日期: 2026-06-29
📄 Abstract - Simplifying Flow Matching Transformations with Low-Rank Mixture Models

Normalizing flows are powerful generative models that learn an invertible mapping between complex data distributions and simple latent distributions, typically a standard normal density. However, this choice of latent density can impose unnecessary complexity on the learned flow transformation due to the topological mismatch between the latent and data densities, leading to slower training and suboptimal performance. In this work, we propose using mixtures of probabilistic principal component analyzers (MPPCA) as the latent density for normalizing flows. We simplify the learned flow transformation by learning a latent distribution that more closely aligns with the data distribution in terms of KL divergence, thus enabling faster convergence and improved generative performance. Critically, MPPCA models can be fit quickly and cheaply using the expectation-maximization algorithm, making them a practical choice for initializing latent distributions even in high-dimensional generative tasks. We validate our method on both tabular and image datasets, demonstrating consistent gains in training efficiency and generation quality compared to baselines.

顶级标签: machine learning generative models
详细标签: normalizing flows mixture models latent distribution generative performance expectation-maximization 或 搜索:

利用低秩混合模型简化流匹配变换 / Simplifying Flow Matching Transformations with Low-Rank Mixture Models


1️⃣ 一句话总结

该论文提出用主成分分析混合模型(MPPCA)替代标准正态分布作为生成模型(归一化流)的隐变量分布,通过使隐分布更接近真实数据分布来简化变换过程,从而加快训练速度并提升生成质量,且MPPCA模型可通过EM算法快速初始化。

源自 arXiv: 2606.29724