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Related papers: The Indian Chefs Process

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Deep belief networks are a powerful way to model complex probability distributions. However, learning the structure of a belief network, particularly one with hidden units, is difficult. The Indian buffet process has been used as a…

Machine Learning · Statistics 2010-08-20 Ryan Prescott Adams , Hanna M. Wallach , Zoubin Ghahramani

The purpose of this work is to describe a unified, and indeed simple, mechanism for non-parametric Bayesian analysis, construction and generative sampling of a large class of latent feature models which one can describe as generalized…

Statistics Theory · Mathematics 2014-12-23 Lancelot F. James

Bayesian nonparametric hierarchical priors are highly effective in providing flexible models for latent data structures exhibiting sharing of information within and across groups. In this work, we focus on latent feature allocation models,…

Statistics Theory · Mathematics 2024-09-05 Lancelot Fitzgerald James , Juho Lee , Abhinav Pandey

We propose a new Bayesian nonparametric prior for latent feature models, which we call the convergent Indian buffet process (CIBP). We show that under the CIBP, the number of latent features is distributed as a Poisson distribution with the…

Machine Learning · Statistics 2022-06-17 Ilsang Ohn

Bayesian nonparametric hierarchical priors are highly effective in providing flexible models for latent data structures exhibiting sharing of information between and across groups. Most prominent is the Hierarchical Dirichlet Process (HDP),…

Statistics Theory · Mathematics 2021-03-23 Lancelot F. James , Juho Lee , Abhinav Pandey

We place an Indian Buffet process (IBP) prior over the structure of a Bayesian Neural Network (BNN), thus allowing the complexity of the BNN to increase and decrease automatically. We further extend this model such that the prior on the…

Machine Learning · Statistics 2021-08-03 Samuel Kessler , Vu Nguyen , Stefan Zohren , Stephen Roberts

A nonparametric Bayesian extension of Factor Analysis (FA) is proposed where observed data $\mathbf{Y}$ is modeled as a linear superposition, $\mathbf{G}$, of a potentially infinite number of hidden factors, $\mathbf{X}$. The Indian Buffet…

Applications · Statistics 2011-07-29 David Knowles , Zoubin Ghahramani

By expressing prior distributions as general stochastic processes, nonparametric Bayesian methods provide a flexible way to incorporate prior knowledge and constrain the latent structure in statistical inference. The Indian buffet process…

Machine Learning · Statistics 2015-05-21 Mengjie Chen , Chao Gao , Hongyu Zhao

Unsupervised feature learning algorithms based on convolutional formulations of independent components analysis (ICA) have been demonstrated to yield state-of-the-art results in several action recognition benchmarks. However, existing…

Computer Vision and Pattern Recognition · Computer Science 2015-09-25 Sotirios P. Chatzis

Latent feature models are widely used to decompose data into a small number of components. Bayesian nonparametric variants of these models, which use the Indian buffet process (IBP) as a prior over latent features, allow the number of…

Machine Learning · Statistics 2012-09-11 Samuel J. Gershman , Peter I. Frazier , David M. Blei

We are often interested in explaining data through a set of hidden factors or features. When the number of hidden features is unknown, the Indian Buffet Process (IBP) is a nonparametric latent feature model that does not bound the number of…

Machine Learning · Computer Science 2012-05-14 Finale Doshi-Velez , Zoubin Ghahramani

Latent feature models are a powerful tool for modeling data with globally-shared features. Nonparametric exchangeable models such as the Indian Buffet Process offer modeling flexibility by letting the number of latent features be unbounded.…

Methodology · Statistics 2015-08-27 Finale Doshi-Velez , Sinead A. Williamson

We present the Wright-Fisher Indian buffet process (WF-IBP), a probabilistic model for time-dependent data assumed to have been generated by an unknown number of latent features. This model is suitable as a prior in Bayesian nonparametric…

Machine Learning · Statistics 2016-11-23 Valerio Perrone , Paul A. Jenkins , Dario Spano , Yee Whye Teh

We present the nested Chinese restaurant process (nCRP), a stochastic process which assigns probability distributions to infinitely-deep, infinitely-branching trees. We show how this stochastic process can be used as a prior distribution in…

Machine Learning · Statistics 2009-08-27 David M. Blei , Thomas L. Griffiths , Michael I. Jordan

Deep generative models (DGMs) have brought about a major breakthrough, as well as renewed interest, in generative latent variable models. However, DGMs do not allow for performing data-driven inference of the number of latent features…

Machine Learning · Computer Science 2018-04-03 Sotirios P. Chatzis

Analyzing multivariate time series data is important to predict future events and changes of complex systems in finance, manufacturing, and administrative decisions. The expressiveness power of Gaussian Process (GP) regression methods has…

Machine Learning · Statistics 2019-05-23 Anh Tong , Jaesik Choi

We build upon probabilistic models for Boolean Matrix and Boolean Tensor factorisation that have recently been shown to solve these problems with unprecedented accuracy and to enable posterior inference to scale to Billions of observation.…

Machine Learning · Statistics 2019-07-02 Tammo Rukat , Christopher Yau

This paper presents a Bayesian nonparametric latent feature model specially suitable for exploratory analysis of high-dimensional count data. We perform a non-negative doubly sparse matrix factorization that has two main advantages: not…

Machine Learning · Computer Science 2018-07-02 Melanie F. Pradier , Viktor Stojkoski , Zoran Utkovski , Ljupco Kocarev , Fernando Perez-Cruz

Inductive Conformal Prediction (ICP) is a set of distribution-free and model agnostic algorithms devised to predict with a user-defined confidence with coverage guarantee. Instead of having point predictions, i.e., a real number in the case…

Machine Learning · Statistics 2022-07-05 Martim Sousa

We propose a method for inferring the conditional indepen- dence graph (CIG) of a high-dimensional discrete-time Gaus- sian vector random process from finite-length observations. Our approach does not rely on a parametric model (such as,…

Machine Learning · Statistics 2014-03-11 Alexander Jung , Reinhard Heckel , Helmut Bölcskei , Franz Hlawatsch
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