Distilling Normalizing Flows

Fuente: arXiv
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Autores principales: Walton, Steven, Klyukin, Valeriy, Artemev, Maksim, Derkach, Denis, Orlov, Nikita, Shi, Humphrey
Formato: Preprint
Publicado: 2025
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author Walton, Steven
Klyukin, Valeriy
Artemev, Maksim
Derkach, Denis
Orlov, Nikita
Shi, Humphrey
author_facet Walton, Steven
Klyukin, Valeriy
Artemev, Maksim
Derkach, Denis
Orlov, Nikita
Shi, Humphrey
contents Explicit density learners are becoming an increasingly popular technique for generative models because of their ability to better model probability distributions. They have advantages over Generative Adversarial Networks due to their ability to perform density estimation and having exact latent-variable inference. This has many advantages, including: being able to simply interpolate, calculate sample likelihood, and analyze the probability distribution. The downside of these models is that they are often more difficult to train and have lower sampling quality. Normalizing flows are explicit density models, that use composable bijective functions to turn an intractable probability function into a tractable one. In this work, we present novel knowledge distillation techniques to increase sampling quality and density estimation of smaller student normalizing flows. We seek to study the capacity of knowledge distillation in Compositional Normalizing Flows to understand the benefits and weaknesses provided by these architectures. Normalizing flows have unique properties that allow for a non-traditional forms of knowledge transfer, where we can transfer that knowledge within intermediate layers. We find that through this distillation, we can make students significantly smaller while making substantial performance gains over a non-distilled student. With smaller models there is a proportionally increased throughput as this is dependent upon the number of bijectors, and thus parameters, in the network.
format Preprint
id arxiv_https___arxiv_org_abs_2506_21003
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Distilling Normalizing Flows
Walton, Steven
Klyukin, Valeriy
Artemev, Maksim
Derkach, Denis
Orlov, Nikita
Shi, Humphrey
Machine Learning
Explicit density learners are becoming an increasingly popular technique for generative models because of their ability to better model probability distributions. They have advantages over Generative Adversarial Networks due to their ability to perform density estimation and having exact latent-variable inference. This has many advantages, including: being able to simply interpolate, calculate sample likelihood, and analyze the probability distribution. The downside of these models is that they are often more difficult to train and have lower sampling quality. Normalizing flows are explicit density models, that use composable bijective functions to turn an intractable probability function into a tractable one. In this work, we present novel knowledge distillation techniques to increase sampling quality and density estimation of smaller student normalizing flows. We seek to study the capacity of knowledge distillation in Compositional Normalizing Flows to understand the benefits and weaknesses provided by these architectures. Normalizing flows have unique properties that allow for a non-traditional forms of knowledge transfer, where we can transfer that knowledge within intermediate layers. We find that through this distillation, we can make students significantly smaller while making substantial performance gains over a non-distilled student. With smaller models there is a proportionally increased throughput as this is dependent upon the number of bijectors, and thus parameters, in the network.
title Distilling Normalizing Flows
topic Machine Learning
url https://arxiv.org/abs/2506.21003