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There is an increasingly rich literature about Bayesian nonparametric models for clustering functional observations. However, most of the recent proposals rely on infinite-dimensional characterizations that might lead to overly complex…

统计方法学 · 统计学 2019-07-05 Tommaso Rigon

We develop methods for efficient amortized approximate Bayesian inference over posterior distributions of probabilistic clustering models, such as Dirichlet process mixture models. The approach is based on mapping distributed,…

机器学习 · 统计学 2018-11-27 Ari Pakman , Liam Paninski

Federated learning brings potential benefits of faster learning, better solutions, and a greater propensity to transfer when heterogeneous data from different parties increases diversity. However, because federated learning tasks tend to be…

机器学习 · 计算机科学 2021-01-18 Duc Thien Nguyen , Shiau Hoong Lim , Laura Wynter , Desmond Cai

Modern manufacturing systems often experience multiple and unpredictable failure behaviors, yet most existing prognostic models assume a fixed, known set of failure modes with labeled historical data. This assumption limits the use of…

应用统计 · 统计学 2026-02-24 Kani Fu , Sanduni S Disanayaka Mudiyanselage , Chunli Dai , Minhee Kim

We study location-scale mixture priors for nonparametric statistical problems, including multivariate regression, density estimation and classification. We show that a rate-adaptive procedure can be obtained if the prior is properly…

统计理论 · 数学 2012-11-12 R. de Jonge , J. H. van Zanten

Bayesian Non-negative Matrix Factorization (NMF) is a promising approach for understanding uncertainty and structure in matrix data. However, a large volume of applied work optimizes traditional non-Bayesian NMF objectives that fail to…

机器学习 · 统计学 2018-03-19 M. Arjumand Masood , Finale Doshi-Velez

In model-based-clustering mixture models are used to group data points into clusters. A useful concept introduced for Gaussian mixtures by Malsiner Walli et al (2016) are sparse finite mixtures, where the prior distribution on the weight…

统计方法学 · 统计学 2018-08-23 Sylvia Frühwirth-Schnatter , Gertraud Malsiner-Walli

We introduce a novel approach to improve unsupervised hashing. Specifically, we propose a very efficient embedding method: Gaussian Mixture Model embedding (Gemb). The proposed method, using Gaussian Mixture Model, embeds feature vector…

计算机视觉与模式识别 · 计算机科学 2017-07-05 Tuan Hoang , Thanh-Toan Do , Dang-Khoa Le Tan , Ngai-Man Cheung

The Bayesian approach to machine learning amounts to computing posterior distributions of random variables from a probabilistic model of how the variables are related (that is, a prior distribution) and a set of observations of variables.…

计算机科学中的逻辑 · 计算机科学 2015-07-01 Johannes Borgström , Andrew D Gordon , Michael Greenberg , James Margetson , Jurgen Van Gael

Nested nonparametric processes are vectors of random probability measures widely used in the Bayesian literature to model the dependence across distinct, though related, groups of observations. These processes allow a two-level clustering,…

统计方法学 · 统计学 2024-10-10 Federico Camerlenghi , Riccardo Corradin , Andrea Ongaro

In some applied scenarios, the availability of complete data is restricted, often due to privacy concerns; only aggregated, robust and inefficient statistics derived from the data are made accessible. These robust statistics are not…

统计方法学 · 统计学 2024-02-23 Antoine Luciano , Christian P. Robert , Robin J. Ryder

Matrix factorization methods - including Factor analysis (FA), and Principal Components Analysis (PCA) - are widely used for inferring and summarizing structure in multivariate data. Many matrix factorization methods exist, corresponding to…

统计方法学 · 统计学 2021-05-04 Wei Wang , Matthew Stephens

We propose a novel nonparametric Bayesian approach for meta-analysis with event time outcomes. The model is an extension of linear dependent tail-free processes. The extension includes a modification to facilitate (conditionally) conjugate…

统计方法学 · 统计学 2024-06-25 Bernardo Flores , Peter Mueller

Infinite Tucker Decomposition (InfTucker) and random function prior models, as nonparametric Bayesian models on infinite exchangeable arrays, are more powerful models than widely-used multilinear factorization methods including Tucker and…

机器学习 · 计算机科学 2014-02-04 Shandian Zhe , Yuan Qi , Youngja Park , Ian Molloy , Suresh Chari

External data borrowing in clinical trial designs has increased in recent years. This is accomplished in the Bayesian framework by specifying informative prior distributions. To mitigate the impact of potential inconsistency (bias) between…

To improve the predictability of complex computational models in the experimentally-unknown domains, we propose a Bayesian statistical machine learning framework utilizing the Dirichlet distribution that combines results of several…

统计方法学 · 统计学 2023-11-06 Vojtech Kejzlar , Léo Neufcourt , Witold Nazarewicz

Matrix factorization (MF) has become a common approach to collaborative filtering, due to ease of implementation and scalability to large data sets. Two existing drawbacks of the basic model is that it does not incorporate side information…

机器学习 · 统计学 2014-07-30 Cody Severinski , Ruslan Salakhutdinov

Mixture models have found uses in many areas. To list a few: unsupervised learning, empirical Bayes, latent class and trait models. The current applications of mixture models to empirical data is limited to computing a mixture model from…

统计计算 · 统计学 2015-09-23 Andrew Clark

We develop a structural framework for modeling and inferring unobserved heterogeneity in dynamic panel-data models. Unlike methods treating clustering as a descriptive device, we model heterogeneity as arising from a latent clustering…

计量经济学 · 经济学 2025-10-29 Jean-Pierre Florens , Anna Simoni

We propose a novel class of dynamic shrinkage processes for Bayesian time series and regression analysis. Building upon a global-local framework of prior construction, in which continuous scale mixtures of Gaussian distributions are…

统计方法学 · 统计学 2019-07-02 Daniel R. Kowal , David S. Matteson , David Ruppert
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