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Gaussian mixture models (GMMs) are ubiquitous in statistical learning, particularly for unsupervised problems. While full GMMs suffer from the overparameterization of their covariance matrices in high-dimensional spaces, spherical GMMs…

机器学习 · 统计学 2025-11-10 Tom Szwagier , Pierre-Alexandre Mattei , Charles Bouveyron , Xavier Pennec

Variational Auto-Encoders (VAEs) are capable of learning latent representations for high dimensional data. However, due to the i.i.d. assumption, VAEs only optimize the singleton variational distributions and fail to account for the…

机器学习 · 计算机科学 2020-04-20 Da Tang , Dawen Liang , Tony Jebara , Nicholas Ruozzi

Motivated by modern data forms such as images and multi-view data, the multi-attribute graphical model aims to explore the conditional independence structure among vectors. Under the Gaussian assumption, the conditional independence between…

机器学习 · 统计学 2024-04-11 Qi Zhang , Bing Li , Lingzhou Xue

As deep neural networks become more adept at traditional tasks, many of the most exciting new challenges concern multimodality---observations that combine diverse types, such as image and text. In this paper, we introduce a family of…

机器学习 · 计算机科学 2019-12-12 Mike Wu , Noah Goodman

Energy-based models (EBMs) have recently been successful in representing complex distributions of small images. However, sampling from them requires expensive Markov chain Monte Carlo (MCMC) iterations that mix slowly in high dimensional…

机器学习 · 计算机科学 2021-11-08 Zhisheng Xiao , Karsten Kreis , Jan Kautz , Arash Vahdat

Cold-start item recommendation is a significant challenge in recommendation systems, particularly when new items are introduced without any historical interaction data. While existing methods leverage multi-modal content to alleviate the…

信息检索 · 计算机科学 2025-11-13 Chuan He , Yongchao Liu , Qiang Li , Wenliang Zhong , Chuntao Hong , Xinwei Yao

Generative models for multimodal data permit the identification of latent factors that may be associated with important determinants of observed data heterogeneity. Common or shared factors could be important for explaining variation across…

机器学习 · 统计学 2024-03-12 Kaspar Märtens , Christopher Yau

Due to the intractable partition function, training energy-based models (EBMs) by maximum likelihood requires Markov chain Monte Carlo (MCMC) sampling to approximate the gradient of the Kullback-Leibler divergence between data and model…

机器学习 · 统计学 2021-12-28 Jianwen Xie , Zilong Zheng , Ping Li

We propose a deep mixture of multimodal hierarchical variational auto-encoders called MMHVAE that synthesizes missing images from observed images in different modalities. MMHVAE's design focuses on tackling four challenges: (i) creating a…

计算机视觉与模式识别 · 计算机科学 2025-10-08 Reuben Dorent , Nazim Haouchine , Alexandra Golby , Sarah Frisken , Tina Kapur , William Wells

Variational Autoencoder (VAE), a simple and effective deep generative model, has led to a number of impressive empirical successes and spawned many advanced variants and theoretical investigations. However, recent studies demonstrate that,…

机器学习 · 计算机科学 2019-01-08 Xuezhe Ma , Chunting Zhou , Eduard Hovy

This paper deals with a multichannel audio source separation problem under underdetermined conditions. Multichannel Non-negative Matrix Factorization (MNMF) is one of powerful approaches, which adopts the NMF concept for source power…

机器学习 · 统计学 2018-10-02 Shogo Seki , Hirokazu Kameoka , Li Li , Tomoki Toda , Kazuya Takeda

In this paper we propose a new approach for constructing \emph{multivariate} Gaussian random fields (GRFs) with oscillating covariance functions through systems of stochastic partial differential equations (SPDEs). We discuss how to build…

统计方法学 · 统计学 2013-07-05 Xiangping Hu , Finn Lindgren , Daniel Simpson , Håvard Rue

The quality of generative models (such as Generative adversarial networks and Variational Auto-Encoders) depends heavily on the choice of a good probability distance. However some popular metrics like the Wasserstein or the Sliced…

机器学习 · 计算机科学 2021-04-16 Gabriel Turinici

Variational AutoEncoder (VAE) for Sequential Recommendation (SR), which learns a continuous distribution for each user-item interaction sequence rather than a determinate embedding, is robust against data deficiency and achieves significant…

信息检索 · 计算机科学 2025-02-25 Beibei Li , Tao Xiang , Beihong Jin , Yiyuan Zheng , Rui Zhao

In recent years Variation Autoencoders have become one of the most popular unsupervised learning of complicated distributions.Variational Autoencoder (VAE) provides more efficient reconstructive performance over a traditional autoencoder.…

机器学习 · 统计学 2017-07-12 Gautam Ramachandra

Gaussian Markov random fields (GMRFs) are popular for modeling dependence in large areal datasets due to their ease of interpretation and computational convenience afforded by the sparse precision matrices needed for random variable…

统计计算 · 统计学 2019-04-16 D. Andrew Brown , Christopher S. McMahan , Stella Watson Self

The integrative analysis of histopathological images and genomic data has received increasing attention for survival prediction of human cancers. However, the existing studies always hold the assumption that full modalities are available.…

计算机视觉与模式识别 · 计算机科学 2025-03-19 Junjie Zhou , Jiao Tang , Yingli Zuo , Peng Wan , Daoqiang Zhang , Wei Shao

We propose efficient computational methods to fit multivariate Gaussian additive models, where the mean vector and the covariance matrix are allowed to vary with covariates, in an empirical Bayes framework. To guarantee the…

统计计算 · 统计学 2025-04-07 Vincenzo Gioia , Matteo Fasiolo , Ruggero Bellio , Simon N. Wood

Materials informatics (MI), which uses artificial intelligence and data analysis techniques to improve the efficiency of materials development, is attracting increasing interest from industry. One of its main applications is the rapid…

机器学习 · 计算机科学 2023-02-07 Yoshihiro Osakabe , Akinori Asahara

We introduce a flexible framework for modeling dependent feature allocations. Our approach addresses limitations in traditional nonparametric methods by directly modeling the logit-probability surface of the feature paintbox, enabling the…

统计方法学 · 统计学 2025-12-22 Bernardo Flores , Yang Ni , Yanxun Xu , Peter Müller