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We propose a non-linear, Bayesian non-parametric latent variable model where the latent space is assumed to be sparse and infinite dimensional a priori using an Indian buffet process prior. A posteriori, the number of instantiated…

机器学习 · 统计学 2022-05-30 Michael Minyi Zhang

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…

机器学习 · 计算机科学 2012-05-14 Finale Doshi-Velez , Zoubin Ghahramani

In many applications, observed data are influenced by some combination of latent causes. For example, suppose sensors are placed inside a building to record responses such as temperature, humidity, power consumption and noise levels. These…

机器学习 · 统计学 2020-07-16 Sinead A. Williamson , Michael Minyi Zhang , Paul Damien

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.…

统计方法学 · 统计学 2015-08-27 Finale Doshi-Velez , Sinead A. Williamson

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…

机器学习 · 统计学 2022-06-17 Ilsang Ohn

Matrix factorisation methods decompose multivariate observations as linear combinations of latent feature vectors. The Indian Buffet Process (IBP) provides a way to model the number of latent features required for a good approximation in…

机器学习 · 统计学 2017-04-14 Matthew C. Pearce , Simon R. White

Latent feature models are attractive for image modeling, since images generally contain multiple objects. However, many latent feature models ignore that objects can appear at different locations or require pre-segmentation of images. While…

计算机视觉与模式识别 · 计算机科学 2012-07-03 Ke Zhai , Yuening Hu , Sinead Williamson , Jordan Boyd-Graber

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…

机器学习 · 统计学 2012-09-11 Samuel J. Gershman , Peter I. Frazier , David M. Blei

We propose the attraction Indian buffet distribution (AIBD), a distribution for binary feature matrices influenced by pairwise similarity information. Binary feature matrices are used in Bayesian models to uncover latent variables (i.e.,…

统计方法学 · 统计学 2021-07-19 Richard L. Warr , David B. Dahl , Jeremy M. Meyer , Arthur Lui

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…

统计理论 · 数学 2014-12-23 Lancelot F. James

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…

机器学习 · 计算机科学 2018-04-03 Sotirios P. Chatzis

Given a reference model that includes all the available variables, projection predictive inference replaces its posterior with a constrained projection including only a subset of all variables. We extend projection predictive inference to…

统计计算 · 统计学 2021-09-13 Alejandro Catalina , Paul Bürkner , Aki Vehtari

We consider the inverse Ising problem, i.e. the inference of network couplings from observed spin trajectories for a model with continuous time Glauber dynamics. By introducing two sets of auxiliary latent random variables we render the…

机器学习 · 统计学 2017-12-22 Christian Donner , Manfred Opper

We introduce the Locally Linear Latent Variable Model (LL-LVM), a probabilistic model for non-linear manifold discovery that describes a joint distribution over observations, their manifold coordinates and locally linear maps conditioned on…

机器学习 · 统计学 2015-12-02 Mijung Park , Wittawat Jitkrittum , Ahmad Qamar , Zoltan Szabo , Lars Buesing , Maneesh Sahani

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…

机器学习 · 统计学 2021-08-03 Samuel Kessler , Vu Nguyen , Stefan Zohren , Stephen Roberts

Inference for latent feature models is inherently difficult as the inference space grows exponentially with the size of the input data and number of latent features. In this work, we use Kurihara & Welling (2008)'s maximization-expectation…

机器学习 · 统计学 2013-07-25 Colorado Reed , Zoubin Ghahramani

Binary vector embeddings enable fast nearest neighbor retrieval in large databases of high-dimensional objects, and play an important role in many practical applications, such as image and video retrieval. We study the problem of learning…

计算机视觉与模式识别 · 计算机科学 2018-06-26 Fatih Cakir , Kun He , Sarah Adel Bargal , Stan Sclaroff

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,…

统计理论 · 数学 2024-09-05 Lancelot Fitzgerald James , Juho Lee , Abhinav Pandey

We introduce a new version of deep state-space models (DSSMs) that combines a recurrent neural network with a state-space framework to forecast time series data. The model estimates the observed series as functions of latent variables that…

机器学习 · 统计学 2022-05-20 Haoxuan Wu , David S. Matteson , Martin T. Wells

We develop a new stochastic process called spatially-dependent Indian buffet processes (SIBP) for spatially correlated binary matrices and propose general spatial factor models for various multivariate response variables. We introduce…

统计方法学 · 统计学 2024-09-04 Shonosuke Sugasawa , Daichi Mochihashi
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