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A normalizing flow models a complex probability density as an invertible transformation of a simple base density. Flows based on either coupling or autoregressive transforms both offer exact density evaluation and sampling, but rely on the…

Machine Learning · Statistics 2019-12-03 Conor Durkan , Artur Bekasov , Iain Murray , George Papamakarios

Fair representation learning is an attractive approach that promises fairness of downstream predictors by encoding sensitive data. Unfortunately, recent work has shown that strong adversarial predictors can still exhibit unfairness by…

Machine Learning · Computer Science 2022-03-21 Mislav Balunović , Anian Ruoss , Martin Vechev

Recent work shows that path gradient estimators for normalizing flows have lower variance compared to standard estimators for variational inference, resulting in improved training. However, they are often prohibitively more expensive from a…

Machine Learning · Computer Science 2024-03-26 Lorenz Vaitl , Ludwig Winkler , Lorenz Richter , Pan Kessel

We propose an expert-elicitation method for learning non-parametric joint prior distributions using normalizing flows. Normalizing flows are a class of generative models that enable exact, single-step density evaluation and can capture…

Methodology · Statistics 2025-04-22 Florence Bockting , Stefan T. Radev , Paul-Christian Bürkner

Image reconstruction from computed tomography (CT) measurement is a challenging statistical inverse problem since a high-dimensional conditional distribution needs to be estimated. Based on training data obtained from high-quality…

Image and Video Processing · Electrical Eng. & Systems 2020-06-12 Alexander Denker , Maximilian Schmidt , Johannes Leuschner , Peter Maass , Jens Behrmann

With the adoption of powerful machine learning methods in medical image analysis, it is becoming increasingly desirable to aggregate data that is acquired across multiple sites. However, the underlying assumption of many analysis techniques…

Computer Vision and Pattern Recognition · Computer Science 2018-11-21 Daniel C. Castro , Ben Glocker

A Normalizing Flow computes a bijective mapping from an arbitrary distribution to a predefined (e.g. normal) distribution. Such a flow can be used to address different tasks, e.g. anomaly detection, once such a mapping has been learned. In…

Quantum Physics · Physics 2024-07-23 Bodo Rosenhahn , Christoph Hirche

Tuning of measurement models is challenging in real-world applications of sequential Monte Carlo methods. Recent advances in differentiable particle filters have led to various efforts to learn measurement models through neural networks.…

Artificial Intelligence · Computer Science 2022-03-17 Xiongjie Chen , Yunpeng Li

Modern reinforcement learning (RL) algorithms have found success by using powerful probabilistic models, such as transformers, energy-based models, and diffusion/flow-based models. To this end, RL researchers often choose to pay the price…

Machine Learning · Computer Science 2025-06-05 Raj Ghugare , Benjamin Eysenbach

We introduce manifold-learning flows (M-flows), a new class of generative models that simultaneously learn the data manifold as well as a tractable probability density on that manifold. Combining aspects of normalizing flows, GANs,…

Machine Learning · Statistics 2020-11-16 Johann Brehmer , Kyle Cranmer

Continuous normalizing flows (CNFs) are a generative method for learning probability distributions, which is based on ordinary differential equations. This method has shown remarkable empirical success across various applications, including…

Machine Learning · Statistics 2024-04-02 Yuan Gao , Jian Huang , Yuling Jiao , Shurong Zheng

We consider the problem of density estimation on Riemannian manifolds. Density estimation on manifolds has many applications in fluid-mechanics, optics and plasma physics and it appears often when dealing with angular variables (such as…

Machine Learning · Statistics 2016-11-10 Mevlana C. Gemici , Danilo Rezende , Shakir Mohamed

Normalizing Flows (NFs) are flexible explicit generative models that have been shown to accurately model complex real-world data distributions. However, their invertibility constraint imposes limitations on data distributions that reside on…

Computer Vision and Pattern Recognition · Computer Science 2022-08-19 Janis Postels , Martin Danelljan , Luc Van Gool , Federico Tombari

Normalizing flows are a powerful class of generative models demonstrating strong performance in several speech and vision problems. In contrast to other generative models, normalizing flows are latent variable models with tractable…

Machine Learning · Computer Science 2021-08-06 Dmitry Baranchuk , Vladimir Aliev , Artem Babenko

The task of detecting anomalous data patterns is as important in practical applications as challenging. In the context of spatial data, recognition of unexpected trajectories brings additional difficulties, such as high dimensionality and…

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…

Machine Learning · Computer Science 2025-06-27 Steven Walton , Valeriy Klyukin , Maksim Artemev , Denis Derkach , Nikita Orlov , Humphrey Shi

Normalizing flows are an established approach for modelling complex probability densities through invertible transformations from a base distribution. However, the accuracy with which the target distribution can be captured by the…

Machine Learning · Statistics 2024-02-02 Harry Bevins , Will Handley , Thomas Gessey-Jones

Modeling real-world distributions can often be challenging due to sample data that are subjected to perturbations, e.g., instrumentation errors, or added random noise. Since flow models are typically nonlinear algorithms, they amplify these…

Machine Learning · Computer Science 2022-10-11 Sameera Ramasinghe , Kasun Fernando , Salman Khan , Nick Barnes

Normalizing flows have emerged as an important family of deep neural networks for modelling complex probability distributions. In this note, we revisit their coupling and autoregressive transformation layers as probabilistic graphical…

Machine Learning · Computer Science 2020-06-05 Antoine Wehenkel , Gilles Louppe

Fueled by the expressive power of deep neural networks, normalizing flows have achieved spectacular success in generative modeling, or learning to draw new samples from a distribution given a finite dataset of training samples. Normalizing…

Machine Learning · Computer Science 2023-05-05 Yuehaw Khoo , Michael Lindsey , Hongli Zhao