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This paper addresses the problem of modeling and estimating dynamic multi-valued mappings. While most mathematical models provide a unique solution for a given input, real-world applications often lack deterministic solutions. In such…

Computer Vision and Pattern Recognition · Computer Science 2024-07-02 Geng Li , Di Qiu , Lok Ming Lui

Designing composite materials as per the application requirements is fundamentally a challenging and time consuming task. Here we report the development of a deep neural network based computational framework capable of solving the forward…

Materials Science · Physics 2022-09-14 Ashank , Soumen Chakravarty , Pranshu Garg , Ankit Kumar , Manish Agrawal , Prabhat K. Agnihotri

We propose a new class of learning algorithms that combines variational approximation and Markov chain Monte Carlo (MCMC) simulation. Naive algorithms that use the variational approximation as proposal distribution can perform poorly…

Machine Learning · Computer Science 2013-01-14 Nando de Freitas , Pedro Hojen-Sorensen , Michael I. Jordan , Stuart Russell

We study unsupervised learning by developing introspective generative modeling (IGM) that attains a generator using progressively learned deep convolutional neural networks. The generator is itself a discriminator, capable of introspection:…

Computer Vision and Pattern Recognition · Computer Science 2017-04-26 Justin Lazarow , Long Jin , Zhuowen Tu

Bayesian inverse problems highly rely on efficient and effective inference methods for uncertainty quantification (UQ). Infinite-dimensional MCMC algorithms, directly defined on function spaces, are robust under refinement of physical…

Computation · Statistics 2019-05-22 Shiwei Lan

Purpose: Magnetic Resonance Imaging (MRI) enables non-invasive assessment of brain abnormalities during early life development. Permanent magnet scanners operating in the neonatal intensive care unit (NICU) facilitate MRI of sick infants,…

Image and Video Processing · Electrical Eng. & Systems 2025-05-23 Yamin Arefeen , Brett Levac , Bhairav Patel , Chang Ho , Jonathan I. Tamir

The prevalence of real-world multi-view data makes incomplete multi-view clustering (IMVC) a crucial research. The rapid development of Graph Neural Networks (GNNs) has established them as one of the mainstream approaches for multi-view…

In materials science, the challenge of rapid prototyping materials with desired properties often involves extensive experimentation to find suitable microstructures. Additionally, finding microstructures for given properties is typically an…

Machine Learning · Computer Science 2024-05-22 Sébastien Bompas , Stefan Sandfeld

We introduce the \emph{Symplectic Generative Network (SGN)}, a deep generative model that leverages Hamiltonian mechanics to construct an invertible, volume-preserving mapping between a latent space and the data space. By endowing the…

Machine Learning · Statistics 2025-10-30 Agnideep Aich , Ashit Aich

We present an approach for continual learning (CL) that is based on fully probabilistic (or generative) models of machine learning. In contrast to, e.g., GANs that are "generative" in the sense that they can generate samples, fully…

Machine Learning · Computer Science 2021-04-20 Benedikt Pfülb , Alexander Gepperth , Benedikt Bagus

A challenging problem in probabilistic programming is to develop inference algorithms that work for arbitrary programs in a universal probabilistic programming language (PPL). We present the nonparametric involutive Markov chain Monte Carlo…

Machine Learning · Computer Science 2022-11-03 Carol Mak , Fabian Zaiser , Luke Ong

Computational image reconstruction algorithms generally produce a single image without any measure of uncertainty or confidence. Regularized Maximum Likelihood (RML) and feed-forward deep learning approaches for inverse problems typically…

Machine Learning · Computer Science 2020-12-18 He Sun , Katherine L. Bouman

Memory units have been widely used to enrich the capabilities of deep networks on capturing long-term dependencies in reasoning and prediction tasks, but little investigation exists on deep generative models (DGMs) which are good at…

Machine Learning · Computer Science 2016-05-31 Chongxuan Li , Jun Zhu , Bo Zhang

We develop a probabilistic framework for deep learning based on the Deep Rendering Mixture Model (DRMM), a new generative probabilistic model that explicitly capture variations in data due to latent task nuisance variables. We demonstrate…

Machine Learning · Statistics 2016-12-07 Ankit B. Patel , Tan Nguyen , Richard G. Baraniuk

We provide a simulation algorithm to simulate from a (multivariate) characteristic function, which is only accessible in a black-box format. The method is based on a generative neural network, whose loss function exploits a specific…

Machine Learning · Statistics 2024-09-17 Florian Brück

We introduce a new category of multivariate conditional generative models and demonstrate its performance and versatility in probabilistic time series forecasting and simulation. Specifically, the output of quantile regression networks is…

Machine Learning · Statistics 2019-07-26 Ruofeng Wen , Kari Torkkola

Deep generative networks provide a powerful tool for modeling complex data in a wide range of applications. In inverse problems that use these networks as generative priors on data, one must often perform inference of the inputs of the…

Machine Learning · Computer Science 2017-06-21 Alyson K. Fletcher , Sundeep Rangan

Fully unsupervised deep generative modeling (FU-DGM) is promising for compressively sampled MRI (CS-MRI) when training data or compute are limited. Classical FU-DGMs such as DIP and INR rely on architectural priors, but the ill-conditioned…

Image and Video Processing · Electrical Eng. & Systems 2026-03-19 Qingyong Zhu , Yumin Tan , Xiang Gu , Dong Liang

The simulation of geological facies in an unobservable volume is essential in various geoscience applications. Given the complexity of the problem, deep generative learning is a promising approach to overcome the limitations of traditional…

Geophysics · Physics 2024-03-05 Ferdinand Bhavsar , Nicolas Desassis , Fabien Ors , Thomas Romary

Many problems in the physical sciences, machine learning, and statistical inference necessitate sampling from a high-dimensional, multi-modal probability distribution. Markov Chain Monte Carlo (MCMC) algorithms, the ubiquitous tool for this…

Data Analysis, Statistics and Probability · Physics 2022-05-12 Marylou Gabrié , Grant M. Rotskoff , Eric Vanden-Eijnden