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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 sets is an important problem in machine learning since this type of data can be found in many domains. A promising approach defines a family of permutation invariant densities with continuous normalizing flows. This allows us to…

Machine Learning · Computer Science 2021-07-01 Marin Biloš , Stephan Günnemann

To model manifold data using normalizing flows, we employ isometric autoencoders to design embeddings with explicit inverses that do not distort the probability distribution. Using isometries separates manifold learning and density…

Machine Learning · Computer Science 2023-05-09 Eike Cramer , Felix Rauh , Alexander Mitsos , Raúl Tempone , Manuel Dahmen

The two key characteristics of a normalizing flow is that it is invertible (in particular, dimension preserving) and that it monitors the amount by which it changes the likelihood of data points as samples are propagated along the network.…

Machine Learning · Computer Science 2023-01-27 Bálint Máté , Samuel Klein , Tobias Golling , François Fleuret

We propose two new evaluation metrics to assess realness of generated images based on normalizing flows: a simpler and efficient flow-based likelihood distance (FLD) and a more exact dual-flow based likelihood distance (D-FLD). Because…

Computer Vision and Pattern Recognition · Computer Science 2024-10-08 Pranav Jeevan , Neeraj Nixon , Amit Sethi

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

Normalizing flows are a powerful class of generative models for continuous random variables, showing both strong model flexibility and the potential for non-autoregressive generation. These benefits are also desired when modeling discrete…

Machine Learning · Statistics 2019-06-06 Zachary M. Ziegler , Alexander M. Rush

Based on the manifold hypothesis, real-world data often lie on a low-dimensional manifold, while normalizing flows as a likelihood-based generative model are incapable of finding this manifold due to their structural constraints. So, one…

Machine Learning · Computer Science 2022-06-08 Seyedeh Fatemeh Razavi , Mohammad Mahdi Mehmanchi , Reshad Hosseini , Mostafa Tavassolipour

Normalizing flows are a powerful technique for obtaining reparameterizable samples from complex multimodal distributions. Unfortunately, current approaches are only available for the most basic geometries and fall short when the underlying…

Machine Learning · Statistics 2021-05-03 Luca Falorsi

Studying potential BSM effects at the precision frontier requires accurate transfer of information from low-energy measurements to high-energy BSM models. We propose to use normalising flows to construct likelihood functions that achieve…

High Energy Physics - Phenomenology · Physics 2023-09-20 Anja Beck , Méril Reboud , Danny van Dyk

Recently, there has been a surge of interest in incorporating neural networks into particle filters, e.g. differentiable particle filters, to perform joint sequential state estimation and model learning for non-linear non-Gaussian…

Machine Learning · Computer Science 2025-01-07 Xiongjie Chen , Yunpeng Li

Normalizing flows are a class of probabilistic generative models which allow for both fast density computation and efficient sampling and are effective at modelling complex distributions like images. A drawback among current methods is…

Computer Vision and Pattern Recognition · Computer Science 2020-10-28 Jason J. Yu , Konstantinos G. Derpanis , Marcus A. Brubaker

In this work, we investigate the use of normalizing flows to model conditional distributions. In particular, we use our proposed method to analyze inverse problems with invertible neural networks by maximizing the posterior likelihood. Our…

Machine Learning · Computer Science 2019-11-07 Zhisheng Xiao , Qing Yan , Yali Amit

Flow-based generative models are composed of invertible transformations between two random variables of the same dimension. Therefore, flow-based models cannot be adequately trained if the dimension of the data distribution does not match…

Computer Vision and Pattern Recognition · Computer Science 2020-11-17 Hyeongju Kim , Hyeonseung Lee , Woo Hyun Kang , Joun Yeop Lee , Nam Soo Kim

We introduce an architecture for neural quantum states for many-body quantum-mechanical systems, based on normalizing flows. The use of normalizing flows enables efficient uncorrelated sampling of configurations from the probability…

Quantum Physics · Physics 2024-06-05 Scott Lawrence , Arlee Shelby , Yukari Yamauchi

We present an alternative to reweighting techniques for modifying distributions to account for a desired change in an underlying conditional distribution, as is often needed to correct for mis-modelling in a simulated sample. We employ…

High Energy Physics - Phenomenology · Physics 2023-05-01 Malte Algren , Tobias Golling , Manuel Guth , Chris Pollard , John Andrew Raine

Embodied systems experience the world as 'a symphony of flows': a combination of many continuous streams of sensory input coupled to self-motion, interwoven with the dynamics of external objects. These streams obey smooth,…

Machine Learning · Computer Science 2026-01-06 Hansen Jin Lillemark , Benhao Huang , Fangneng Zhan , Yilun Du , Thomas Anderson Keller

Through examples of coordinate and probability transformation between different distributions, the basic principle of normalizing flow is introduced in a simple and concise manner. From the perspective of the distribution of random variable…

Machine Learning · Computer Science 2024-01-22 Hongjun Zhang

Existing machine learning methods for causal inference usually estimate quantities expressed via the mean of potential outcomes (e.g., average treatment effect). However, such quantities do not capture the full information about the…

Machine Learning · Computer Science 2023-06-21 Valentyn Melnychuk , Dennis Frauen , Stefan Feuerriegel

In this work, we demonstrate how to reliably estimate epistemic uncertainty while maintaining the flexibility needed to capture complicated aleatoric distributions. To this end, we propose an ensemble of Normalizing Flows (NF), which are…

Machine Learning · Computer Science 2023-10-05 Lucas Berry , David Meger