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Normalizing flows, which learn a distribution by transforming the data to samples from a Gaussian base distribution, have proven powerful density approximations. But their expressive power is limited by this choice of the base distribution.…

Machine Learning · Computer Science 2021-07-16 Mike Laszkiewicz , Johannes Lederer , Asja Fischer

Normalizing Flows (NFs) are emerging as a powerful class of generative models, as they not only allow for efficient sampling, but also deliver, by construction, density estimation. They are of great potential usage in High Energy Physics…

Machine Learning · Statistics 2023-03-01 Humberto Reyes-Gonzalez , Riccardo Torre

Our goal is to provide a review of deep learning methods which provide insight into structured high-dimensional data. Rather than using shallow additive architectures common to most statistical models, deep learning uses layers of…

Machine Learning · Statistics 2023-10-11 Nick Polson , Vadim Sokolov

Ptychography, as an essential tool for high-resolution and nondestructive material characterization, presents a challenging large-scale nonlinear and non-convex inverse problem; however, its intrinsic photon statistics create clear…

Machine Learning · Statistics 2021-11-02 Agnimitra Dasgupta , Zichao Wendy Di

In decision-making systems, it is important to have classifiers that have calibrated uncertainties, with an optimisation objective that can be used for automated model selection and training. Gaussian processes (GPs) provide uncertainty…

Machine Learning · Statistics 2020-03-05 Vincent Dutordoir , Mark van der Wilk , Artem Artemev , James Hensman

We propose a new multimodal variational autoencoder that enables to generate from the joint distribution and conditionally to any number of complex modalities. The unimodal posteriors are conditioned on the Deep Canonical Correlation…

Machine Learning · Statistics 2023-05-22 Agathe Senellart , Clément Chadebec , Stéphanie Allassonnière

We posit that autoregressive flow models are well-suited to performing a range of causal inference tasks - ranging from causal discovery to making interventional and counterfactual predictions. In particular, we exploit the fact that…

Machine Learning · Statistics 2020-07-28 Ricardo Pio Monti , Ilyes Khemakhem , Aapo Hyvarinen

Machine learning techniques, in particular the so-called normalizing flows, are becoming increasingly popular in the context of Monte Carlo simulations as they can effectively approximate target probability distributions. In the case of…

Machine Learning · Computer Science 2024-02-29 Piotr Bialas , Piotr Korcyl , Tomasz Stebel

Normalizing flows model probability distributions by learning invertible transformations that transfer a simple distribution into complex distributions. Since the architecture of ResNet-based normalizing flows is more flexible than that of…

Machine Learning · Computer Science 2022-10-18 Byeongkeun Ahn , Chiyoon Kim , Youngjoon Hong , Hyunwoo J. Kim

We propose a novel deep learning paradigm of differential flows that learn a stochastic differential equation transformations of inputs prior to a standard classification or regression function. The key property of differential Gaussian…

Machine Learning · Computer Science 2018-10-16 Pashupati Hegde , Markus Heinonen , Harri Lähdesmäki , Samuel Kaski

Building on the recent trend of new deep generative models known as Normalizing Flows (NF), simulation-based inference (SBI) algorithms can now efficiently accommodate arbitrary complex and high-dimensional data distributions. The…

Machine Learning · Statistics 2022-11-28 Julia Linhart , Alexandre Gramfort , Pedro L. C. Rodrigues

We formulate well-posed continuous-time generative flows for learning distributions that are supported on low-dimensional manifolds through Wasserstein proximal regularizations of $f$-divergences. Wasserstein-1 proximal operators regularize…

Machine Learning · Statistics 2024-07-17 Hyemin Gu , Markos A. Katsoulakis , Luc Rey-Bellet , Benjamin J. Zhang

Normalizing flows have been successfully modeling a complex probability distribution as an invertible transformation of a simple base distribution. However, there are often applications that require more than invertibility. For instance,…

Machine Learning · Computer Science 2023-04-12 Seongmin Hong , Se Young Chun

For many applications, such as computing the expected value of different magnitudes, sampling from a known probability density function, the target density, is crucial but challenging through the inverse transform. In these cases, rejection…

Machine Learning · Computer Science 2020-03-24 Sebastian Pina-Otey , Thorsten Lux , Federico Sánchez , Vicens Gaitan

Convolutional networks are ubiquitous in deep learning. They are particularly useful for images, as they reduce the number of parameters, reduce training time, and increase accuracy. However, as a model of the brain they are seriously…

Machine Learning · Computer Science 2022-01-19 Roman Pogodin , Yash Mehta , Timothy P. Lillicrap , Peter E. Latham

In this paper, we introduce a new concept of incorporating factorized flow maps as mid-level representations, for bridging the perception and the control modules in modular learning based robotic frameworks. To investigate the advantages of…

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

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

Can transformers generalize efficiently on problems that require dealing with examples with different levels of difficulty? We introduce a new task tailored to assess generalization over different complexities and present results that…

Learning, taking into account full distribution of the data, referred to as generative, is not feasible with deep neural networks (DNNs) because they model only the conditional distribution of the outputs given the inputs. Current solutions…

Machine Learning · Computer Science 2017-09-26 Boris Flach , Alexander Shekhovtsov , Ondrej Fikar
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