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Variational autoencoders (VAEs) are a popular generative model used to approximate distributions. The encoder part of the VAE is used in amortized learning of latent variables, producing a latent representation for data samples. Recently,…

Machine Learning · Statistics 2023-05-12 Daniel G. Edelberg , Roy R. Lederman

Bayes' rule describes how to infer posterior beliefs about latent variables given observations, and inference is a critical step in learning algorithms for latent variable models (LVMs). Although there are exact algorithms for inference and…

Machine Learning · Computer Science 2025-09-22 Sacha Sokoloski

We address the problem of one-to-many mappings in supervised learning, where a single instance has many different solutions of possibly equal cost. The framework of conditional variational autoencoders describes a class of methods to tackle…

Machine Learning · Statistics 2019-09-11 Alexej Klushyn , Nutan Chen , Botond Cseke , Justin Bayer , Patrick van der Smagt

We propose a method for inference in generalised linear mixed models (GLMMs) and several extensions of these models. First, we extend the GLMM by allowing the distribution of the random components to be non-Gaussian, that is, assuming an…

Methodology · Statistics 2021-07-27 Jeanett S. Pelck , Rodrigo Labouriau

We propose a novel deep clustering method that integrates Variational Autoencoders (VAEs) into the Expectation-Maximization (EM) framework. Our approach models the probability distribution of each cluster with a VAE and alternates between…

Machine Learning · Computer Science 2025-01-14 Michael Adipoetra , Ségolène Martin

The Gaussian process latent variable model (GP-LVM) is a popular approach to non-linear probabilistic dimensionality reduction. One design choice for the model is the number of latent variables. We present a spike and slab prior for the…

Machine Learning · Statistics 2015-05-12 Zhenwen Dai , James Hensman , Neil Lawrence

We present the Complex Envelope Variable Approximation (CEVA) as the very useful and compact method for the analysis of the essentially nonlinear dynamical systems. It allows us to study both the stationary and non-stationary dynamics even…

Pattern Formation and Solitons · Physics 2020-04-20 Valeri V. Smirnov , Leonid I. Manevitch

This work has been motivated by the challenge of the 2017 conference on Extreme-Value Analysis (EVA2017), with the goal of predicting daily precipitation quantiles at the $99.8\%$ level for each month at observed and unobserved locations.…

Methodology · Statistics 2018-02-06 Thomas Opitz , Raphaël Huser , Haakon Bakka , Håvard Rue

Recently, large multimodal models (LMMs) have achieved significant advancements. When dealing with high-resolution images, dominant LMMs typically divide them into multiple local images and a global image, leading to a large number of…

Computer Vision and Pattern Recognition · Computer Science 2025-08-07 Zhibin Lan , Liqiang Niu , Fandong Meng , Wenbo Li , Jie Zhou , Jinsong Su

Large vision-language models (LVLMs) have shown premise in a broad range of vision-language tasks with their strong reasoning and generalization capabilities. However, they require considerable computational resources for training and…

Computation and Language · Computer Science 2024-06-18 Guiming Hardy Chen , Shunian Chen , Ruifei Zhang , Junying Chen , Xiangbo Wu , Zhiyi Zhang , Zhihong Chen , Jianquan Li , Xiang Wan , Benyou Wang

Variational Autoencoder (VAE)-based generative models offer flexible representation learning by incorporating meta-priors, general premises considered beneficial for downstream tasks. However, the incorporated meta-priors often involve…

Machine Learning · Computer Science 2023-02-27 Nao Nakagawa , Ren Togo , Takahiro Ogawa , Miki Haseyama

Learning interpretable and disentangled representations of data is a key topic in machine learning research. Variational Autoencoder (VAE) is a scalable method for learning directed latent variable models of complex data. It employs a clear…

Machine Learning · Computer Science 2020-06-04 Andriy Serdega , Dae-Shik Kim

Solving Bayesian inference problems approximately with variational approaches can provide fast and accurate results. Capturing correlation within the approximation requires an explicit parametrization. This intrinsically limits this…

Machine Learning · Statistics 2020-01-31 Jakob Knollmüller , Torsten A. Enßlin

Variational Bayes (VB) is rapidly becoming a popular tool for Bayesian inference in statistical modeling. However, the existing VB algorithms are restricted to cases where the likelihood is tractable, which precludes the use of VB in many…

Methodology · Statistics 2016-08-05 Minh-Ngoc Tran , David J. Nott , Robert Kohn

The development of state-of-the-art generative large language models (LLMs) disproportionately relies on English-centric tokenizers, vocabulary and pre-training data. Despite the fact that some LLMs have multilingual capabilities, recent…

Computation and Language · Computer Science 2024-09-27 Atsuki Yamaguchi , Aline Villavicencio , Nikolaos Aletras

Characterizing the relationship between neural population activity and behavioral data is a central goal of neuroscience. While latent variable models (LVMs) are successful in describing high-dimensional time-series data, they are typically…

Machine Learning · Computer Science 2026-02-12 Rabia Gondur , Usama Bin Sikandar , Evan Schaffer , Mikio Christian Aoi , Stephen L Keeley

Latent variable models represent a useful tool for the analysis of complex data when the constructs of interest are not observable. A problem related to these models is that the integrals involved in the likelihood function cannot be solved…

Methodology · Statistics 2015-03-05 Silvia Bianconcini , Silvia Cagnone , Dimitris Rizopoulos

Continual learning deals with training models on new tasks and datasets in an online fashion. One strand of research has used probabilistic regularization for continual learning, with two of the main approaches in this vein being Online…

Machine Learning · Computer Science 2020-12-01 Noel Loo , Siddharth Swaroop , Richard E. Turner

Large language models (LLMs) have demonstrated impressive reasoning capabilities, particularly in textual mathematical problem-solving. However, existing open-source image instruction fine-tuning datasets, containing limited question-answer…

Computation and Language · Computer Science 2024-10-10 Wenhao Shi , Zhiqiang Hu , Yi Bin , Junhua Liu , Yang Yang , See-Kiong Ng , Lidong Bing , Roy Ka-Wei Lee

We aim to analyze the behaviour of a finite-time stochastic system, whose model is not available, in the context of more rare and harmful outcomes. Standard estimators are not effective in making predictions about such outcomes due to their…

Methodology · Statistics 2022-07-29 Evan Arsenault , Yuheng Wang , Margaret P. Chapman
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