Phase-aware Training Schedule Simplifies Learning in Flow-Based Generative Models

Fuente: arXiv
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Autores principales: Aranguri, Santiago, Insulla, Francesco
Formato: Preprint
Publicado: 2024
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author Aranguri, Santiago
Insulla, Francesco
author_facet Aranguri, Santiago
Insulla, Francesco
contents We analyze the training of a two-layer autoencoder used to parameterize a flow-based generative model for sampling from a high-dimensional Gaussian mixture. Previous work shows that the phase where the relative probability between the modes is learned disappears as the dimension goes to infinity without an appropriate time schedule. We introduce a time dilation that solves this problem. This enables us to characterize the learned velocity field, finding a first phase where the probability of each mode is learned and a second phase where the variance of each mode is learned. We find that the autoencoder representing the velocity field learns to simplify by estimating only the parameters relevant to each phase. Turning to real data, we propose a method that, for a given feature, finds intervals of time where training improves accuracy the most on that feature. Since practitioners take a uniform distribution over training times, our method enables more efficient training. We provide preliminary experiments validating this approach.
format Preprint
id arxiv_https___arxiv_org_abs_2412_07972
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Phase-aware Training Schedule Simplifies Learning in Flow-Based Generative Models
Aranguri, Santiago
Insulla, Francesco
Machine Learning
We analyze the training of a two-layer autoencoder used to parameterize a flow-based generative model for sampling from a high-dimensional Gaussian mixture. Previous work shows that the phase where the relative probability between the modes is learned disappears as the dimension goes to infinity without an appropriate time schedule. We introduce a time dilation that solves this problem. This enables us to characterize the learned velocity field, finding a first phase where the probability of each mode is learned and a second phase where the variance of each mode is learned. We find that the autoencoder representing the velocity field learns to simplify by estimating only the parameters relevant to each phase. Turning to real data, we propose a method that, for a given feature, finds intervals of time where training improves accuracy the most on that feature. Since practitioners take a uniform distribution over training times, our method enables more efficient training. We provide preliminary experiments validating this approach.
title Phase-aware Training Schedule Simplifies Learning in Flow-Based Generative Models
topic Machine Learning
url https://arxiv.org/abs/2412.07972