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We introduce a variational Bayesian neural network where the parameters are governed via a probability distribution on random matrices. Specifically, we employ a matrix variate Gaussian \cite{gupta1999matrix} parameter posterior…

机器学习 · 统计学 2016-06-24 Christos Louizos , Max Welling

The commonly used latent space embedding techniques, such as Principal Component Analysis, Factor Analysis, and manifold learning techniques, are typically used for learning effective representations of homogeneous data. However, they do…

机器学习 · 计算机科学 2021-10-04 Yasin Yilmaz , Mehmet Aktukmak , Alfred O. Hero

A natural Bayesian approach for mixture models with an unknown number of components is to take the usual finite mixture model with Dirichlet weights, and put a prior on the number of components---that is, to use a mixture of finite mixtures…

统计方法学 · 统计学 2015-02-24 Jeffrey W. Miller , Matthew T. Harrison

This paper develops a Bayesian graphical model for fusing disparate types of count data. The motivating application is the study of bacterial communities from diverse high dimensional features, in this case transcripts, collected from…

Advances in generative models increase the need for sample quality assessment. To do so, previous methods rely on a pre-trained feature extractor to embed the generated samples and real samples into a common space for comparison. However,…

计算机视觉与模式识别 · 计算机科学 2024-07-23 Jingyi Xu , Hieu Le , Dimitris Samaras

In this note we present a generative model of natural images consisting of a deep hierarchy of layers of latent random variables, each of which follows a new type of distribution that we call rectified Gaussian. These rectified Gaussian…

机器学习 · 统计学 2016-03-01 Tim Salimans

In this paper, we show that the performance of a learnt generative model is closely related to the model's ability to accurately represent the inferred \textbf{latent data distribution}, i.e. its topology and structural properties. We…

计算机视觉与模式识别 · 计算机科学 2020-09-02 Shuyu Lin , Ronald Clark

One of the major shortcomings of variational autoencoders is the inability to produce generations from the individual modalities of data originating from mixture distributions. This is primarily due to the use of a simple isotropic Gaussian…

机器学习 · 计算机科学 2019-12-02 Frantzeska Lavda , Magda Gregorová , Alexandros Kalousis

Generative Adversarial Networks (GANs) have been shown to produce realistically looking synthetic images with remarkable success, yet their performance seems less impressive when the training set is highly diverse. In order to provide a…

机器学习 · 计算机科学 2018-08-31 Matan Ben-Yosef , Daphna Weinshall

Humans perceive the seemingly chaotic world in a structured and compositional way with the prerequisite of being able to segregate conceptual entities from the complex visual scenes. The mechanism of grouping basic visual elements of scenes…

机器学习 · 计算机科学 2019-04-30 Jinyang Yuan , Bin Li , Xiangyang Xue

Standard linear modeling approaches make potentially simplistic assumptions regarding the structure of categorical effects that may obfuscate more complex relationships governing data. For example, recent work focused on the two-way…

统计方法学 · 统计学 2019-03-05 Thomas A. Metzger , Christopher T. Franck

We propose a new method to impute missing values in mixed datasets. It is based on a principal components method, the factorial analysis for mixed data, which balances the influence of all the variables that are continuous and categorical…

应用统计 · 统计学 2013-02-20 Vincent Audigier , François Husson , Julie Josse

Inferring objects and their relationships from an image in the form of a scene graph is useful in many applications at the intersection of vision and language. We consider a challenging problem of compositional generalization that emerges…

计算机视觉与模式识别 · 计算机科学 2021-10-04 Boris Knyazev , Harm de Vries , Cătălina Cangea , Graham W. Taylor , Aaron Courville , Eugene Belilovsky

Many machine learning algorithms represent input data with vector embeddings or discrete codes. When inputs exhibit compositional structure (e.g. objects built from parts or procedures from subroutines), it is natural to ask whether this…

机器学习 · 计算机科学 2019-04-09 Jacob Andreas

Gaussian processes (GPs) are nonparametric priors over functions. Fitting a GP implies computing a posterior distribution of functions consistent with the observed data. Similarly, deep Gaussian processes (DGPs) should allow us to compute a…

Recent deep generative models are able to provide photo-realistic images as well as visual or textual content embeddings useful to address various tasks of computer vision and natural language processing. Their usefulness is nevertheless…

机器学习 · 计算机科学 2020-01-29 Antoine Plumerault , Hervé Le Borgne , Céline Hudelot

Deep generative models (DGMs) and their conditional counterparts provide a powerful ability for general-purpose generative modeling of data distributions. However, it remains challenging for existing methods to address advanced conditional…

计算机视觉与模式识别 · 计算机科学 2023-05-24 Yuxiao Li , Santiago Mazuelas , Yuan Shen

Generating high quality texts with high diversity is important for many NLG applications, but current methods mostly focus on building deterministic models to generate higher quality texts and do not provide many options for promoting…

计算与语言 · 计算机科学 2022-04-05 Wanyu Du , Jianqiao Zhao , Liwei Wang , Yangfeng Ji

Bayesian inference is known to provide a general framework for incorporating prior knowledge or specific properties into machine learning models via carefully choosing a prior distribution. In this work, we propose a new type of prior…

机器学习 · 统计学 2019-02-20 Andrei Atanov , Arsenii Ashukha , Kirill Struminsky , Dmitry Vetrov , Max Welling

There has been considerable recent interest in Bayesian modeling of high-dimensional networks via latent space approaches. When the number of nodes increases, estimation based on Markov Chain Monte Carlo can be extremely slow and show poor…

统计计算 · 统计学 2022-05-30 Emanuele Aliverti , Massimiliano Russo