GFlowNet Foundations

Fuente: arXiv
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Hauptverfasser: Bengio, Yoshua, Lahlou, Salem, Deleu, Tristan, Hu, Edward J., Tiwari, Mo, Bengio, Emmanuel
Format: Preprint
Veröffentlicht: 2021
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author Bengio, Yoshua
Lahlou, Salem
Deleu, Tristan
Hu, Edward J.
Tiwari, Mo
Bengio, Emmanuel
author_facet Bengio, Yoshua
Lahlou, Salem
Deleu, Tristan
Hu, Edward J.
Tiwari, Mo
Bengio, Emmanuel
contents Generative Flow Networks (GFlowNets) have been introduced as a method to sample a diverse set of candidates in an active learning context, with a training objective that makes them approximately sample in proportion to a given reward function. In this paper, we show a number of additional theoretical properties of GFlowNets. They can be used to estimate joint probability distributions and the corresponding marginal distributions where some variables are unspecified and, of particular interest, can represent distributions over composite objects like sets and graphs. GFlowNets amortize the work typically done by computationally expensive MCMC methods in a single but trained generative pass. They could also be used to estimate partition functions and free energies, conditional probabilities of supersets (supergraphs) given a subset (subgraph), as well as marginal distributions over all supersets (supergraphs) of a given set (graph). We introduce variations enabling the estimation of entropy and mutual information, sampling from a Pareto frontier, connections to reward-maximizing policies, and extensions to stochastic environments, continuous actions and modular energy functions.
format Preprint
id arxiv_https___arxiv_org_abs_2111_09266
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle GFlowNet Foundations
Bengio, Yoshua
Lahlou, Salem
Deleu, Tristan
Hu, Edward J.
Tiwari, Mo
Bengio, Emmanuel
Machine Learning
Artificial Intelligence
Generative Flow Networks (GFlowNets) have been introduced as a method to sample a diverse set of candidates in an active learning context, with a training objective that makes them approximately sample in proportion to a given reward function. In this paper, we show a number of additional theoretical properties of GFlowNets. They can be used to estimate joint probability distributions and the corresponding marginal distributions where some variables are unspecified and, of particular interest, can represent distributions over composite objects like sets and graphs. GFlowNets amortize the work typically done by computationally expensive MCMC methods in a single but trained generative pass. They could also be used to estimate partition functions and free energies, conditional probabilities of supersets (supergraphs) given a subset (subgraph), as well as marginal distributions over all supersets (supergraphs) of a given set (graph). We introduce variations enabling the estimation of entropy and mutual information, sampling from a Pareto frontier, connections to reward-maximizing policies, and extensions to stochastic environments, continuous actions and modular energy functions.
title GFlowNet Foundations
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2111.09266