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LUCI is an general-purpose spectral line-fitting pipeline which natively integrates machine learning algorithms to initialize fit functions. LUCI currently uses point-estimates obtained from a convolutional neural network (CNN) to inform…

Instrumentation and Methods for Astrophysics · Physics 2021-11-29 Carter L. Rhea , Julie Hlavacek-Larrondo , Laurie Rousseau-Nepton , Simon Prunet

Probabilistic regression models the entire predictive distribution of a response variable, offering richer insights than classical point estimates and directly allowing for uncertainty quantification. While diffusion-based generative models…

Machine Learning · Computer Science 2025-10-07 Carlo Kneissl , Christopher Bülte , Philipp Scholl , Gitta Kutyniok

We investigate statistical properties of a likelihood approach to nonparametric estimation of a singular distribution using deep generative models. More specifically, a deep generative model is used to model high-dimensional data that are…

Machine Learning · Statistics 2023-03-29 Minwoo Chae , Dongha Kim , Yongdai Kim , Lizhen Lin

Accurate quantification of uncertainty in neural network predictions remains a central challenge for scientific applications involving high-dimensional, correlated data. While existing methods capture either aleatoric or epistemic…

Machine Learning · Computer Science 2025-08-26 Harrison J. Goldwyn , Mitchell Krock , Johann Rudi , Daniel Getter , Julie Bessac

This paper proposes a two-time scale neurodynamic duplex approach to solve distributionally robust geometric joint chance-constrained optimization problems. The probability distributions of the row vectors are not known in advance and…

Neural and Evolutionary Computing · Computer Science 2026-05-07 Ange Valli , Siham Tassouli , Abdel Lisser

We developed a new joint probabilistic segmentation and image distribution matching generative adversarial network (PSIGAN) for unsupervised domain adaptation (UDA) and multi-organ segmentation from magnetic resonance (MRI) images. Our UDA…

Image and Video Processing · Electrical Eng. & Systems 2021-07-20 Jue Jiang , Yu Chi Hu , Neelam Tyagi , Andreas Rimner , Nancy Lee , Joseph O. Deasy , Sean Berry , Harini Veeraraghavan

We consider a class of latent Gaussian models with a univariate link function (ULLGMs). These are based on standard likelihood specifications (such as Poisson, Binomial, Bernoulli, Erlang, etc.) but incorporate a latent normal linear…

Methodology · Statistics 2025-04-11 Mark F. J. Steel , Gregor Zens

Distributed learning has shown great potential in medical image analysis. It allows to use multi-center training data with privacy protection. However, data distributions in local centers can vary from each other due to different imaging…

Image and Video Processing · Electrical Eng. & Systems 2022-06-14 Zheyao Gao , Lei Li , Fuping Wu , Sihan Wang , Xiahai Zhuang

Estimating how uncertain an AI system is in its predictions is important to improve the safety of such systems. Uncertainty in predictive can result from uncertainty in model parameters, irreducible data uncertainty and uncertainty due to…

Machine Learning · Statistics 2018-12-03 Andrey Malinin , Mark Gales

Many problems in navigation and tracking require increasingly accurate characterizations of the evolution of uncertainty in nonlinear systems. Nonlinear uncertainty propagation approaches based on Gaussian mixture density approximations…

Machine Learning · Statistics 2025-12-30 Jackson Kulik , Keith A. LeGrand

Probabilistic graphical models are powerful tools which allow us to formalise our knowledge about the world and reason about its inherent uncertainty. There exist a considerable number of methods for performing inference in probabilistic…

Artificial Intelligence · Computer Science 2018-11-13 Robert Walecki , Albert Buchard , Kostis Gourgoulias , Chris Hart , Maria Lomeli , A. K. W. Navarro , Max Zwiessele , Yura Perov , Saurabh Johri

Generative Adversarial Networks (GANs) have achieved a great success in unsupervised learning. Despite its remarkable empirical performance, there are limited theoretical studies on the statistical properties of GANs. This paper provides…

Machine Learning · Computer Science 2022-07-22 Minshuo Chen , Wenjing Liao , Hongyuan Zha , Tuo Zhao

Climate models are limited by heavy computational costs, often producing outputs at coarse spatial resolutions, while many climate change impact studies require finer scales. Statistical downscaling bridges this gap, and we adapt the…

Machine Learning · Computer Science 2025-11-06 Maryam Alipourhajiagha , Pierre-Louis Lemaire , Youssef Diouane , Julie Carreau

Machine learning methods and uncertainty quantification have been gaining interest throughout the last several years in low-energy nuclear physics. In particular, Gaussian processes and Bayesian Neural Networks have increasingly been…

Nuclear Theory · Physics 2022-07-27 A. E. Lovell , A. T. Mohan , T. M. Sprouse , M. R. Mumpower

arXiv:2206.10812v1 [stat.ME] proposes a useful algorithm, named generalized Diversity Subsampling (g-DS) algorithm, to select a subsample following some target probability distribution from a finite data set and demonstrates its…

Methodology · Statistics 2023-09-06 Boyang Shang

We introduce a novel framework for AI-generated image detection through epistemic uncertainty, aiming to address critical security concerns in the era of generative models. Our key insight stems from the observation that distributional…

Computer Vision and Pattern Recognition · Computer Science 2025-11-04 Jun Nie , Yonggang Zhang , Tongliang Liu , Yiu-ming Cheung , Bo Han , Xinmei Tian

Accurate uncertainty estimation is a critical need for the medical imaging community. A variety of methods have been proposed, all direct extensions of classification uncertainty estimations techniques. The independent pixel-wise…

Image and Video Processing · Electrical Eng. & Systems 2022-06-16 Thierry Judge , Olivier Bernard , Mihaela Porumb , Agis Chartsias , Arian Beqiri , Pierre-Marc Jodoin

We develop an automated variational method for inference in models with Gaussian process (GP) priors and general likelihoods. The method supports multiple outputs and multiple latent functions and does not require detailed knowledge of the…

Machine Learning · Statistics 2018-11-06 Edwin V. Bonilla , Karl Krauth , Amir Dezfouli

In Bayesian structure learning, we are interested in inferring a distribution over the directed acyclic graph (DAG) structure of Bayesian networks, from data. Defining such a distribution is very challenging, due to the combinatorially…

Machine Learning · Computer Science 2022-06-30 Tristan Deleu , António Góis , Chris Emezue , Mansi Rankawat , Simon Lacoste-Julien , Stefan Bauer , Yoshua Bengio

We consider a distributed detection problem where measurements at each sensor follow a general parametric distribution. The network does not have a central processing unit or fusion center (FC). Thus, each node takes some measurements, does…

Signal Processing · Electrical Eng. & Systems 2021-06-08 Juan Maya , Leonardo Rey Vega
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