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We propose rectified factor networks (RFNs) to efficiently construct very sparse, non-linear, high-dimensional representations of the input. RFN models identify rare and small events in the input, have a low interference between code units,…

Machine Learning · Computer Science 2018-01-31 Djork-Arné Clevert , Andreas Mayr , Thomas Unterthiner , Sepp Hochreiter

As pointed out in previous studies, the measurement of the skewness of the convergence field $\kappa$ will be useful in breaking the degeneracy among the cosmological parameters constrained from weak lensing observations. The combination of…

Astrophysics · Physics 2009-10-31 L. Van Waerbeke , T. Hamana , R. Scoccimarro , S. Colombi , F. Bernardeau

In this paper, we propose a Gaussian Process (GP) emulator for the calculation of a) tomographic weak lensing band-power spectra, and b) coefficients of summary data massively compressed with the MOPED algorithm. In the former case…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-29 Arrykrishna Mootoovaloo , Alan F. Heavens , Andrew H. Jaffe , Florent Leclercq

Deep neural networks are often not robust to semantically-irrelevant changes in the input. In this work we address the issue of robustness of state-of-the-art deep convolutional neural networks (CNNs) against commonly occurring distortions…

Computer Vision and Pattern Recognition · Computer Science 2020-12-03 Nikhil Kapoor , Chun Yuan , Jonas Löhdefink , Roland Zimmermann , Serin Varghese , Fabian Hüger , Nico Schmidt , Peter Schlicht , Tim Fingscheidt

Sampling topological quantities in the Monte Carlo simulation of Lattice Gauge Theory becomes challenging as we approach the continuum limit of the theory. In this work, we introduce a Conditional Normalizing Flow (C-NF) model to sample…

High Energy Physics - Lattice · Physics 2023-11-01 Ankur Singha , Dipankar Chakrabarti , Vipul Arora

The reconstruction of unsteady flow fields from limited measurements is a challenging and crucial task for many engineering applications. Machine learning models are gaining popularity for solving this problem due to their ability to learn…

Fluid Dynamics · Physics 2026-01-09 Marc Amorós-Trepat , Luis Medrano-Navarro , Qiang Liu , Luca Guastoni , Nils Thuerey

Recently normalizing flows (NFs) have demonstrated state-of-the-art performance on modeling 3D point clouds while allowing sampling with arbitrary resolution at inference time. However, these flow-based models still require long training…

Computer Vision and Pattern Recognition · Computer Science 2021-12-01 Janis Postels , Mengya Liu , Riccardo Spezialetti , Luc Van Gool , Federico Tombari

Granular flows govern many natural and industrial processes, yet their interior kinematics and mechanics remain largely unobservable, as experiments access only boundaries or free surfaces. Conventional numerical simulations are…

Computational Engineering, Finance, and Science · Computer Science 2026-05-26 Xuyang Li , Rui Li , Teng Man , Yimin Lu

Flow matching (FM) is a family of training algorithms for fitting continuous normalizing flows (CNFs). Conditional flow matching (CFM) exploits the fact that the marginal vector field of a CNF can be learned by fitting least-squares…

Machine Learning · Statistics 2025-02-04 Ganchao Wei , Li Ma

By chaining a sequence of differentiable invertible transformations, normalizing flows (NF) provide an expressive method of posterior approximation, exact density evaluation, and sampling. The trend in normalizing flow literature has been…

Machine Learning · Computer Science 2020-10-20 Robert Giaquinto , Arindam Banerjee

Flow Matching (FM) has emerged as a powerful paradigm for continuous normalizing flows, yet standard FM implicitly performs an unweighted $L^2$ regression over the entire ambient space. In high dimensions, this leads to a fundamental…

Machine Learning · Statistics 2026-05-26 Shinto Eguchi

We propose a novel method for sensitivity analysis to unobserved confounding in causal inference. The method builds on a copula-based causal graphical normalizing flow that we term $\rho$-GNF, where $\rho \in [-1,+1]$ is the sensitivity…

Methodology · Statistics 2025-08-13 Sourabh Balgi , Marc Braun , Jose M. Peña , Adel Daoud

Normalizing Flows (NF) are Generative models which transform a simple prior distribution into the desired target. They however require the design of an invertible mapping whose Jacobian determinant has to be computable. Recently introduced,…

Machine Learning · Computer Science 2025-09-18 Vincent Souveton , Arnaud Guillin , Jens Jasche , Guilhem Lavaux , Manon Michel

Catastrophic forgetting (CF) happens whenever a neural network overwrites past knowledge while being trained on new tasks. Common techniques to handle CF include regularization of the weights (using, e.g., their importance on past tasks),…

Machine Learning · Computer Science 2022-12-29 Jary Pomponi , Simone Scardapane , Aurelio Uncini

Many popular statistical models, such as factor and random effects models, give arise a certain type of covariance structures that is a summation of low rank and sparse matrices. This paper introduces a penalized approximation framework to…

Methodology · Statistics 2015-03-19 Xi Luo

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

We present a cosmology analysis of simulated weak lensing convergence maps using the Neural Field Scattering Transform (NFST) to constrain cosmological parameters. The NFST extends the Wavelet Scattering Transform (WST) by incorporating…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-11 Matthew Craigie , Yuan-Sen Ting , Rossana Ruggeri , Tamara M. Davis

Minkowski functionals (MFs) quantify the topological properties of a given field probing its departure from Gaussianity. We investigate their use on lensing convergence maps in order to see whether they can provide further insights on the…

Cosmology and Nongalactic Astrophysics · Physics 2019-05-02 Martina Vicinanza , Vincenzo F. Cardone , Roberto Maoli , Roberto Scaramella , Xinzhong Er , Ismael Tereno

In the past few years, deep generative models, such as generative adversarial networks \autocite{GAN}, variational autoencoders \autocite{vaepaper}, and their variants, have seen wide adoption for the task of modelling complex data…

Machine Learning · Statistics 2020-09-02 Guilherme G. P. Freitas Pires , Mário A. T. Figueiredo

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
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