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Related papers: Variations and Relaxations of Normalizing Flows

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Generative Flow Networks (GFlowNets) have emerged as an innovative learning paradigm designed to address the challenge of sampling from an unnormalized probability distribution, called the reward function. This framework learns a policy on…

Machine Learning · Computer Science 2024-07-04 Anas Krichel , Nikolay Malkin , Salem Lahlou , Yoshua Bengio

Density regression models allow a comprehensive understanding of data by modeling the complete conditional probability distribution. While flexible estimation approaches such as normalizing flows (NF) work particularly well in multiple…

Machine Learning · Statistics 2025-06-13 Marcel Arpogaus , Thomas Kneib , Thomas Nagler , David Rügamer

Normalizing flows can transform a simple prior probability distribution into a more complex target distribution. Here, we evaluate the ability and efficiency of generative machine learning methods to sample the Boltzmann distribution of an…

Soft Condensed Matter · Physics 2024-09-16 Gerhard Jung , Giulio Biroli , Ludovic Berthier

Variational inference with normalizing flows (NFs) is an increasingly popular alternative to MCMC methods. In particular, NFs based on coupling layers (Real NVPs) are frequently used due to their good empirical performance. In theory,…

Machine Learning · Statistics 2024-02-27 Daniel Andrade

This paper introduces a generative model equivariant to Euclidean symmetries: E(n) Equivariant Normalizing Flows (E-NFs). To construct E-NFs, we take the discriminative E(n) graph neural networks and integrate them as a differential…

Machine Learning · Computer Science 2022-01-17 Victor Garcia Satorras , Emiel Hoogeboom , Fabian B. Fuchs , Ingmar Posner , Max Welling

Continuous normalizing flows are known to be highly expressive and flexible, which allows for easier incorporation of large symmetries and makes them a powerful computational tool for lattice field theories. Building on previous work, we…

High Energy Physics - Lattice · Physics 2025-12-22 Mathis Gerdes , Pim de Haan , Roberto Bondesan , Miranda C. N. Cheng

Normalising flows (NFs) for discrete data are challenging because parameterising bijective transformations of discrete variables requires predicting discrete/integer parameters. Having a neural network architecture predict discrete…

Machine Learning · Computer Science 2020-06-12 Rob Hesselink , Wilker Aziz

Discrete flow-based models are a recently proposed class of generative models that learn invertible transformations for discrete random variables. Since they do not require data dequantization and maximize an exact likelihood objective,…

Machine Learning · Computer Science 2021-07-27 Alexandra Lindt , Emiel Hoogeboom

Recent advancement in generative models have demonstrated remarkable performance across various data modalities. Beyond their typical use in data synthesis, these models play a crucial role in distribution matching tasks such as latent…

Machine Learning · Computer Science 2025-08-19 Sagar Shrestha , Rajesh Shrestha , Tri Nguyen , Subash Timilsina

Normalizing flows are a powerful tool for building expressive distributions in high dimensions. So far, most of the literature has concentrated on learning flows on Euclidean spaces. Some problems however, such as those involving angles,…

Diffusion models are a class of generative models that serve to establish a stochastic transport map between an empirically observed, yet unknown, target distribution and a known prior. Despite their remarkable success in real-world…

Machine Learning · Computer Science 2025-03-13 Puheng Li , Zhong Li , Huishuai Zhang , Jiang Bian

We present a computational framework for efficient learning, sampling, and distribution of general Bayesian posterior distributions. The framework leverages a machine learning approach for the construction of normalizing flows for the…

Nuclear Theory · Physics 2023-10-10 Yukari Yamauchi , Landon Buskirk , Pablo Giuliani , Kyle Godbey

Continuous Normalizing Flows (CNFs) have emerged as promising deep generative models for a wide range of tasks thanks to their invertibility and exact likelihood estimation. However, conditioning CNFs on signals of interest for conditional…

Machine Learning · Computer Science 2019-12-10 Tan M. Nguyen , Animesh Garg , Richard G. Baraniuk , Anima Anandkumar

Normalizing flows and autoregressive models have been successfully combined to produce state-of-the-art results in density estimation, via Masked Autoregressive Flows (MAF), and to accelerate state-of-the-art WaveNet-based speech synthesis…

Machine Learning · Computer Science 2018-04-04 Chin-Wei Huang , David Krueger , Alexandre Lacoste , Aaron Courville

Generative flow networks (GFlowNets) are amortized variational inference algorithms that are trained to sample from unnormalized target distributions over compositional objects. A key limitation of GFlowNets until this time has been that…

The generative paradigm has become increasingly important in machine learning and deep learning models. Among popular generative models are normalizing flows, which enable exact likelihood estimation by transforming a base distribution…

Machine Learning · Computer Science 2025-03-18 Naoufal El Bekri , Lucas Drumetz , Franck Vermet

Continuous normalizing flows (CNFs) construct invertible mappings between an arbitrary complex distribution and an isotropic Gaussian distribution using Neural Ordinary Differential Equations (neural ODEs). It has not been tractable on…

Computer Vision and Pattern Recognition · Computer Science 2022-03-29 Shian Du , Yihong Luo , Wei Chen , Jian Xu , Delu Zeng

Neuronal activity is found to lie on low-dimensional manifolds embedded within the high-dimensional neuron space. Variants of principal component analysis are frequently employed to assess these manifolds. These methods are, however,…

Neurons and Cognition · Quantitative Biology 2025-06-19 Peter Bouss , Sandra Nestler , Kirsten Fischer , Claudia Merger , Alexandre René , Moritz Helias

In the past, normalizing generative flows have emerged as a promising class of generative models for natural images. This type of model has many modeling advantages: the ability to efficiently compute log-likelihood of the input data, fast…

Computer Vision and Pattern Recognition · Computer Science 2024-12-20 Alexander Kolesnikov , André Susano Pinto , Michael Tschannen

Normalizing Flows (NF) are powerful likelihood-based generative models that are able to trade off between expressivity and tractability to model complex densities. A now well established research avenue leverages optimal transport (OT) and…

Machine Learning · Computer Science 2023-04-17 Guillaume Morel , Lucas Drumetz , Simon Benaïchouche , Nicolas Courty , François Rousseau
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