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Non-linear latent variable models have become increasingly popular in a variety of applications. However, there has been little study on theoretical properties of these models. In this article, we study rates of posterior contraction in…

统计理论 · 数学 2017-01-27 Shuang Zhou , Debdeep Pati , Anirban Bhattacharya , David Dunson

Many studies on biological and soft matter systems report the joint presence of a linear mean-squared displacement and a non-Gaussian probability density exhibiting, for instance, exponential or stretched-Gaussian tails. This phenomenon is…

统计力学 · 物理学 2019-07-24 Jakub Ślęzak , Krzysztof Burnecki , Ralf Metzler

Mixture models are one of the most widely used statistical tools when dealing with data from heterogeneous populations. This paper considers the long-standing debate over finite mixture and infinite mixtures and brings the two modelling…

统计方法学 · 统计学 2019-04-23 Raffaele Argiento , Maria De Iorio

Inference on high-dimensional parameters in structured linear models is an important statistical problem. This paper focuses on the case of a piecewise polynomial Gaussian sequence model, and we develop a new empirical Bayes solution that…

统计理论 · 数学 2025-08-04 Chang Liu , Ryan Martin , Weining Shen

Various natural phenomena exhibit spatial extremal dependence at short spatial distances. However, existing models proposed in the spatial extremes literature often assume that extremal dependence persists across the entire domain. This is…

统计方法学 · 统计学 2024-05-01 Arnab Hazra , Raphaël Huser , David Bolin

Traditional econometric analyzes represent observations as vectors despite the inherent complexity of empirical data structures. When data are organized along dual classification dimensions, a matrix representation provides a more natural…

计量经济学 · 经济学 2026-04-02 Emanuele Lopetuso , Massimiliano Caporin

We present a new nonparametric mixture-of-experts model for multivariate regression problems, inspired by the probabilistic k-nearest neighbors algorithm. Using a conditionally specified model, predictions for out-of-sample inputs are based…

机器学习 · 统计学 2022-08-05 Tianfang Zhang , Rasmus Bokrantz , Jimmy Olsson

The paper proposes a latent variable model for binary data coming from an unobserved heterogeneous population. The heterogeneity is taken into account by replacing the traditional assumption of Gaussian distributed factors by a finite…

统计方法学 · 统计学 2010-10-13 Silvia Cagnone , Cinzia Viroli

This paper presents a Bayesian approach to multiple-output quantile regression. The unconditional model is proven to be consistent and asymptotically correct frequentist confidence intervals can be obtained. The prior for the unconditional…

统计方法学 · 统计学 2022-05-11 Michael Guggisberg

Clustering techniques have been proved highly suc-cessful for Takagi-Sugeno (T-S) fuzzy model identification. Inparticular, fuzzyc-regression clustering based on type-2 fuzzyset has been shown the remarkable results on non-sparse databut…

人工智能 · 计算机科学 2020-09-03 Vikas Singh , Homanga Bharadhwaj , Nishchal K Verma

Model-based reinforcement learning refers to a set of approaches capable of sample-efficient decision making, which create an explicit model of the environment. This model can subsequently be used for learning optimal policies. In this…

机器学习 · 计算机科学 2024-11-19 Théophile Champion , Marek Grześ , Howard Bowman

We present a new package in R implementing Bayesian additive regression trees (BART). The package introduces many new features for data analysis using BART such as variable selection, interaction detection, model diagnostic plots,…

机器学习 · 统计学 2014-11-25 Adam Kapelner , Justin Bleich

We introduce priors and algorithms to perform Bayesian inference in Gaussian models defined by acyclic directed mixed graphs. Such a class of graphs, composed of directed and bi-directed edges, is a representation of conditional…

统计方法学 · 统计学 2012-07-02 Ricardo Silva , Zoubin Ghahramani

Linear mixed-effects models are a central analytical tool for modeling hierarchical and longitudinal data, as they allow simultaneous representation of fixed and random sources of variation. In practice, inference for such models is most…

统计方法学 · 统计学 2026-02-12 Hilde Vinje , Lars Erik Gangsei

Multi-output regression models must exploit dependencies between outputs to maximise predictive performance. The application of Gaussian processes (GPs) to this setting typically yields models that are computationally demanding and have…

机器学习 · 统计学 2019-02-27 James Requeima , Will Tebbutt , Wessel Bruinsma , Richard E. Turner

In this paper, we present a novel approach to fitting mixture models based on estimating first the posterior distribution of the auxiliary variables that assign each observation to a group in the mixture. The posterior distributions of the…

统计计算 · 统计学 2017-12-29 Virgilio Gomez-Rubio

We consider estimating the parameters of a Gaussian mixture density with a given number of components best representing a given set of weighted samples. We adopt a density interpretation of the samples by viewing them as a discrete Dirac…

机器学习 · 统计学 2025-04-03 Daniel Frisch , Uwe D. Hanebeck

In this work we introduce a mixture of GPs to address the data association problem, i.e. to label a group of observations according to the sources that generated them. Unlike several previously proposed GP mixtures, the novel mixture has…

机器学习 · 统计学 2011-08-18 Miguel Lázaro-Gredilla , Steven Van Vaerenbergh , Neil Lawrence

This paper introduces a new methodology to analyse bipartite and unipartite networks with nonnegative edge values. The proposed approach combines and adapts a number of ideas from the literature on latent variable network models. The…

统计方法学 · 统计学 2018-08-29 Riccardo Rastelli

We address the problem of learning graphical models which correspond to high dimensional autoregressive stationary stochastic processes. A graphical model describes the conditional dependence relations among the components of a stochastic…

最优化与控制 · 数学 2019-07-10 Mattia Zorzi