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This paper presents Sparse Partitioning, a Bayesian method for identifying predictors that either individually or in combination with others affect a response variable. The method is designed for regression problems involving binary or…

定量方法 · 定量生物学 2011-08-31 Doug Speed , Simon Tavaré

Nonnegative matrix factorization (NMF) with group sparsity constraints is formulated as a probabilistic graphical model and, assuming some observed data have been generated by the model, a feasible variational Bayesian algorithm is derived…

计算机视觉与模式识别 · 计算机科学 2014-05-28 Ivan Ivek

Multivariate Item Response Theory (MIRT) is sought-after widely by applied researchers looking for interpretable (sparse) explanations underlying response patterns in questionnaire data. There is, however, an unmet demand for such sparsity…

统计方法学 · 统计学 2025-03-10 Jiguang Li , Robert Gibbons , Veronika Rockova

Sparse latent multi-factor models have been used in many exploratory and predictive problems with high-dimensional multivariate observations. Because of concerns with identifiability, the latent factors are almost always assumed to be…

应用统计 · 统计学 2013-12-09 Vinicius Diniz Mayrink , Joseph Edward Lucas

Recent advances in engineering technologies have enabled the collection of a large number of longitudinal features. This wealth of information presents unique opportunities for researchers to investigate the complex nature of diseases and…

统计方法学 · 统计学 2023-11-27 Zihang Lu , Noirrit Kiran Chandra

We propose a combined model, which integrates the latent factor model and the logistic regression model, for the citation network. It is noticed that neither a latent factor model nor a logistic regression model alone is sufficient to…

机器学习 · 统计学 2019-12-03 Namjoon Suh , Xiaoming Huo , Eric Heim , Lee Seversky

In a variety of disciplines such as social sciences, psychology, medicine and economics, the recorded data are considered to be noisy measurements of latent variables connected by some causal structure. This corresponds to a family of…

机器学习 · 计算机科学 2014-08-12 Ricardo Silva , Robert B. Gramacy

In a variety of disciplines such as social sciences, psychology, medicine and economics, the recorded data are considered to be noisy measurements of latent variables connected by some causal structure. This corresponds to a family of…

机器学习 · 计算机科学 2010-03-15 Ricardo Silva , Robert B. Gramacy

Nonnegative matrix factorization is a powerful technique to realize dimension reduction and pattern recognition through single-layer data representation learning. Deep learning, however, with its carefully designed hierarchical structure,…

计算机视觉与模式识别 · 计算机科学 2017-07-31 Zhenxing Guo , Shihua Zhang

Factor analysis models are widely utilized in social and behavioral sciences, such as psychology, education, and marketing, to measure unobservable latent traits. In this article, we introduce a nonlinear structured latent factor analysis…

统计方法学 · 统计学 2025-01-07 Yimang Zhang , Xiaorui Wang , Jian Qing Shi

Factor models are widely used to reduce dimensionality in modeling high-dimensional data. However, there remains a need for models that can be reliably fit in modest sample sizes and are identifiable, interpretable, and flexible. To address…

统计方法学 · 统计学 2025-06-19 Maoran Xu , Steven Winter , Amy H. Herring , David B. Dunson

We propose a Bayesian nonparametric approach to the problem of jointly modeling multiple related time series. Our approach is based on the discovery of a set of latent, shared dynamical behaviors. Using a beta process prior, the size of the…

统计方法学 · 统计学 2011-11-21 Emily B. Fox , Erik B. Sudderth , Michael I. Jordan , Alan S. Willsky

We propose a nonparametric factorization approach for sparsely observed tensors. The sparsity does not mean zero-valued entries are massive or dominated. Rather, it implies the observed entries are very few, and even fewer with the growth…

机器学习 · 统计学 2021-11-04 Conor Tillinghast , Zheng Wang , Shandian Zhe

We present a Bayesian tensor factorization model for inferring latent group structures from dynamic pairwise interaction patterns. For decades, political scientists have collected and analyzed records of the form "country $i$ took action…

机器学习 · 统计学 2015-06-12 Aaron Schein , John Paisley , David M. Blei , Hanna Wallach

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…

机器学习 · 统计学 2010-08-20 Ryan Prescott Adams , Hanna M. Wallach , Zoubin Ghahramani

Nonnegative matrix factorization (NMF) has become a very popular technique in machine learning because it automatically extracts meaningful features through a sparse and part-based representation. However, NMF has the drawback of being…

机器学习 · 统计学 2012-12-07 Nicolas Gillis

Despite the popularity of factor models with sparse loading matrices, little attention has been given to formally address identifiability of these models beyond standard rotation-based identification such as the positive lower triangular…

统计方法学 · 统计学 2023-11-29 Sylvia Frühwirth-Schnatter , Darjus Hosszejni , Hedibert Freitas Lopes

In this paper, we study transfer learning for high-dimensional factor-augmented sparse linear models, motivated by applications in economics and finance where strongly correlated predictors and latent factor structures pose major challenges…

统计方法学 · 统计学 2026-03-23 Bo Fu , Dandan Jiang

Feature selection is a critical component in predictive analytics that significantly affects the prediction accuracy and interpretability of models. Intrinsic methods for feature selection are built directly into model learning, providing a…

机器学习 · 计算机科学 2024-03-19 Theodor Stoecker , Nico Hambauer , Patrick Zschech , Mathias Kraus

Factor analysis is a widely used technique for dimension reduction in high-dimensional data. However, a key challenge in factor models lies in the interpretability of the latent factors. One intuitive way to interpret these factors is…

统计方法学 · 统计学 2025-10-08 Xin Wang , Xialu Liu