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Recent work (Bengio et al., 2013) has shown howDenoising Auto-Encoders(DAE) become gener-ative models as a density estimator. However,in practice, the framework suffers from a mixingproblem in the MCMC sampling process and nodirect method…

Machine Learning · Computer Science 2017-01-31 Dong-Hyun Lee

Multivariate time series anomaly detection has become an active area of research in recent years, with Deep Learning models outperforming previous approaches on benchmark datasets. Among reconstruction-based models, most previous work has…

Machine Learning · Computer Science 2022-02-28 Cristian Challu , Peihong Jiang , Ying Nian Wu , Laurent Callot

Driven by the critical needs of biomanufacturing 4.0, we introduce a probabilistic knowledge graph hybrid model characterizing the risk- and science-based understanding of bioprocess mechanisms. It can faithfully capture the important…

Machine Learning · Statistics 2022-10-03 Wei Xie , Keqi Wang , Hua Zheng , Ben Feng

Delayed-acceptance is a technique for reducing computational effort for Bayesian models with expensive likelihoods. Using a delayed-acceptance kernel for Markov chain Monte Carlo can reduce the number of expensive likelihoods evaluations…

Computation · Statistics 2026-01-07 Joshua J Bon , Anthony Lee , Christopher Drovandi

The convolutional neural networks (CNNs) have proven to be a powerful tool for discriminative learning. Recently researchers have also started to show interest in the generative aspects of CNNs in order to gain a deeper understanding of…

Computer Vision and Pattern Recognition · Computer Science 2015-04-10 Jifeng Dai , Yang Lu , Ying-Nian Wu

Estimating causal effects from observational data (at either an individual -- or a population -- level) is critical for making many types of decisions. One approach to address this task is to learn decomposed representations of the…

Machine Learning · Computer Science 2021-11-15 Negar Hassanpour , Russell Greiner

We analyse a multilevel Monte Carlo method for the approximation of distribution functions of univariate random variables. Since, by assumption, the target distribution is not known explicitly, approximations have to be used. We provide an…

Probability · Mathematics 2017-06-22 Mike B. Giles , Tigran Nagapetyan , Klaus Ritter

Aleatoric uncertainty quantification seeks for distributional knowledge of random responses, which is important for reliability analysis and robustness improvement in machine learning applications. Previous research on aleatoric uncertainty…

Machine Learning · Computer Science 2022-06-10 Ziyi Huang , Henry Lam , Haofeng Zhang

Disentangled representation learning has recently attracted a significant amount of attention, particularly in the field of image representation learning. However, learning the disentangled representations behind a graph remains largely…

Machine Learning · Computer Science 2020-06-11 Xiaojie Guo , Liang Zhao , Zhao Qin , Lingfei Wu , Amarda Shehu , Yanfang Ye

We introduce a novel generative model for the representation of joint probability distributions of a possibly large number of discrete random variables. The approach uses measure transport by randomized assignment flows on the statistical…

Machine Learning · Statistics 2025-01-15 Bastian Boll , Daniel Gonzalez-Alvarado , Stefania Petra , Christoph Schnörr

Computing the exact likelihood of data in large Bayesian networks consisting of thousands of vertices is often a difficult task. When these models contain many deterministic conditional probability tables and when the observed values are…

Computation · Statistics 2012-06-26 Ydo Wexler , Dan Geiger

Importance sampling is a Monte Carlo method which designs estimators of expectations under a target distribution using weighted samples from a proposal distribution. When the target distribution is complex, such as multimodal distributions…

Methodology · Statistics 2026-02-04 Anas Cherradi , Yazid Janati , Alain Durmus , Sylvain Le Corff , Yohan Petetin , Julien Stoehr

We propose a hybrid generative model for efficient sampling of high-dimensional, multimodal probability distributions for Bayesian inference. Traditional Monte Carlo methods, such as the Metropolis-Hastings and Langevin Monte Carlo sampling…

Machine Learning · Statistics 2025-05-14 Hoang Tran , Zezhong Zhang , Feng Bao , Dan Lu , Guannan Zhang

Generative adversarial networks (GANs) have given us a great tool to fit implicit generative models to data. Implicit distributions are ones we can sample from easily, and take derivatives of samples with respect to model parameters. These…

Machine Learning · Statistics 2017-02-28 Ferenc Huszár

We propose a Monte Carlo algorithm to sample from high dimensional probability distributions that combines Markov chain Monte Carlo and importance sampling. We provide a careful theoretical analysis, including guarantees on robustness to…

Computation · Statistics 2019-09-18 Giacomo Zanella , Gareth Roberts

Deep learning systems extensively use convolution operations to process input data. Though convolution is clearly defined for structured data such as 2D images or 3D volumes, this is not true for other data types such as sparse point…

Computer Vision and Pattern Recognition · Computer Science 2018-09-26 Pedro Hermosilla , Tobias Ritschel , Pere-Pau Vázquez , Àlvar Vinacua , Timo Ropinski

Deep generative models have emerged as promising tools for detecting arbitrary anomalies in data, dispensing with the necessity for manual labelling. Recently, autoregressive transformers have achieved state-of-the-art performance for…

Machine Learning (ML)-based unfolding methods have enabled high-dimensional and unbinned differential cross section measurements. While a suite of such methods has been proposed, most focus exclusively on the challenge of statistically…

High Energy Physics - Phenomenology · Physics 2025-09-04 Anja Butter , Nathan Huetsch , Vinicius Mikuni , Benjamin Nachman , Sofia Palacios Schweitzer

Deep neural networks are commonly used for medical purposes such as image generation, segmentation, or classification. Besides this, they are often criticized as black boxes as their decision process is often not human interpretable.…

Machine Learning · Computer Science 2022-03-22 Jana Fragemann , Lynton Ardizzone , Jan Egger , Jens Kleesiek

Markov chain Monte Carlo (MCMC) is one of the main workhorses of probabilistic inference, but it is notoriously hard to measure the quality of approximate posterior samples. This challenge is particularly salient in black box inference…

Machine Learning · Computer Science 2016-06-08 Roger B. Grosse , Siddharth Ancha , Daniel M. Roy
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