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We propose a Bayesian inference approach for a class of latent Markov models. These models are widely used for the analysis of longitudinal categorical data, when the interest is in studying the evolution of an individual unobservable…

Methodology · Statistics 2011-01-05 Francesco Bartolucci , Silvia Pandolfi

When using deep, multi-layered architectures to build generative models of data, it is difficult to train all layers at once. We propose a layer-wise training procedure admitting a performance guarantee compared to the global optimum. It is…

Neural and Evolutionary Computing · Computer Science 2013-02-19 Ludovic Arnold , Yann Ollivier

We study parameter inference in large-scale latent variable models. We first propose an unified treatment of online inference for latent variable models from a non-canonical exponential family, and draw explicit links between several…

Machine Learning · Computer Science 2018-02-01 Christophe Dupuy , Francis Bach

This paper studies the fundamental problem of learning deep generative models that consist of multiple layers of latent variables organized in top-down architectures. Such models have high expressivity and allow for learning hierarchical…

Machine Learning · Statistics 2020-07-21 Erik Nijkamp , Bo Pang , Tian Han , Linqi Zhou , Song-Chun Zhu , Ying Nian Wu

Vision transformer networks have shown superiority in many computer vision tasks. In this paper, we take a step further by proposing a novel generative vision transformer with latent variables following an informative energy-based prior for…

Computer Vision and Pattern Recognition · Computer Science 2021-12-28 Jing Zhang , Jianwen Xie , Nick Barnes , Ping Li

We propose a fast and theoretically grounded method for Bayesian variable selection and model averaging in latent variable regression models. Our framework addresses three interrelated challenges: (i) intractable marginal likelihoods, (ii)…

Methodology · Statistics 2025-09-16 Gregor Zens , Mark F. J. Steel

This paper deals with differentiable dynamical models congruent with neural process theories that cast brain function as the hierarchical refinement of an internal generative model explaining observations. Our work extends existing…

Machine Learning · Computer Science 2021-12-10 André Ofner , Sebastian Stober

Continual learning is crucial for applying machine learning in challenging, dynamic, and often resource-constrained environments. However, catastrophic forgetting - overwriting previously learned knowledge when new information is acquired -…

Machine Learning · Computer Science 2025-05-30 Filip Szatkowski , Yaoyue Zheng , Fei Yang , Bartłomiej Twardowski , Tomasz Trzciński , Joost van de Weijer

Discrete choice models are commonly used by applied statisticians in numerous fields, such as marketing, economics, finance, and operations research. When agents in discrete choice models are assumed to have differing preferences, exact…

Methodology · Statistics 2010-06-04 Michael Braun , Jon McAuliffe

Expanding a lower-dimensional problem to a higher-dimensional space and then projecting back is often beneficial. This article rigorously investigates this perspective in the context of finite mixture models, namely how to improve inference…

Methodology · Statistics 2014-11-10 Andrea Mercatanti , Fan Li , Fabrizia Mealli

Gradient-based methods for the distributed training of residual networks (ResNets) typically require a forward pass of the input data, followed by back-propagating the error gradient to update model parameters, which becomes time-consuming…

Machine Learning · Computer Science 2021-12-13 Qi Sun , Hexin Dong , Zewei Chen , Jiacheng Sun , Zhenguo Li , Bin Dong

Computer models play a crucial role in numerous scientific and engineering domains. To ensure the accuracy of simulations, it is essential to properly calibrate the input parameters of these models through statistical inference. While…

Applications · Statistics 2024-03-07 Dongkyu Derek Cho , Won Chang , Jaewoo Park

Structured additive distributional regression models offer a versatile framework for estimating complete conditional distributions by relating all parameters of a parametric distribution to covariates. Although these models efficiently…

Methodology · Statistics 2023-11-14 Jana Kleinemeier , Nadja Klein

Discrete diffusion models have emerged as a powerful class of models and a promising route to fast language generation, but practical implementations typically rely on factored reverse transitions ignoring cross-token dependencies and…

Machine Learning · Computer Science 2026-05-14 Dario Shariatian , Alain Durmus , Umut Simsekli , Stefano Peluchetti

We present an architecture which lets us train deep, directed generative models with many layers of latent variables. We include deterministic paths between all latent variables and the generated output, and provide a richer set of…

Machine Learning · Computer Science 2016-12-15 Philip Bachman

This article addresses online variational estimation in parametric state-space models. We propose a new procedure for efficiently computing the evidence lower bound and its gradient in a streaming-data setting, where observations arrive…

Methodology · Statistics 2026-02-09 Mathis Chagneux , Mathias Müller , Pierre Gloaguen , Sylvain Le Corff , Jimmy Olsson

Inference models are a key component in scaling variational inference to deep latent variable models, most notably as encoder networks in variational auto-encoders (VAEs). By replacing conventional optimization-based inference with a…

Machine Learning · Computer Science 2018-07-26 Joseph Marino , Yisong Yue , Stephan Mandt

Latent Gaussian models and boosting are widely used techniques in statistics and machine learning. Tree-boosting shows excellent prediction accuracy on many data sets, but potential drawbacks are that it assumes conditional independence of…

Machine Learning · Computer Science 2022-08-24 Fabio Sigrist

Although discrete mixture modeling has formed the backbone of the literature on Bayesian density estimation, there are some well known disadvantages. We propose an alternative class of priors based on random nonlinear functions of a uniform…

Statistics Theory · Mathematics 2015-03-19 Suprateek Kundu , David B. Dunson

There has been much recent, exciting work on combining the complementary strengths of latent variable models and deep learning. Latent variable modeling makes it easy to explicitly specify model constraints through conditional independence…

Computation and Language · Computer Science 2019-08-06 Yoon Kim , Sam Wiseman , Alexander M. Rush