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Linear Predictive Clustering (LPC) partitions samples based on shared linear relationships between feature and target variables, with numerous applications including marketing, medicine, and education. Greedy optimization methods, commonly…

机器学习 · 计算机科学 2026-04-08 Jiazhou Liang , Hassan Khurram , Scott Sanner

We introduce a novel class of Bayesian mixtures for normal linear regression models which incorporates a further Gaussian random component for the distribution of the predictor variables. The proposed cluster-weighted model aims to…

统计方法学 · 统计学 2026-05-26 Panagiotis Papastamoulis , Konstantinos Perrakis

A model based clustering procedure for data of mixed type, clustMD, is developed using a latent variable model. It is proposed that a latent variable, following a mixture of Gaussian distributions, generates the observed data of mixed type.…

统计方法学 · 统计学 2015-11-06 Damien McParland , Isobel Claire Gormley

Clustering in high-dimensional spaces is a difficult problem which is recurrent in many domains, for example in image analysis. The difficulty is due to the fact that high-dimensional data usually live in different low-dimensional subspaces…

统计理论 · 数学 2016-08-16 Charles Bouveyron , Stéphane Girard , Cordelia Schmid

Machine learning components commonly appear in larger decision-making pipelines; however, the model training process typically focuses only on a loss that measures accuracy between predicted values and ground truth values. Decision-focused…

机器学习 · 计算机科学 2019-07-19 Aaron Ferber , Bryan Wilder , Bistra Dilkina , Milind Tambe

It is often of interest to perform clustering on longitudinal data, yet it is difficult to formulate an intuitive model for which estimation is computationally feasible. We propose a model-based clustering method for clustering objects that…

统计方法学 · 统计学 2020-05-19 Daniel K. Sewell , Yuguo Chen , William Bernhard , Tracy Sulkin

Mixed Integer Programming (MIP) is one of the most widely used modeling techniques for combinatorial optimization problems. In many applications, a similar MIP model is solved on a regular basis, maintaining remarkable similarities in model…

人工智能 · 计算机科学 2019-09-10 Jian-Ya Ding , Chao Zhang , Lei Shen , Shengyin Li , Bing Wang , Yinghui Xu , Le Song

Families of mixtures of multivariate power exponential (MPE) distributions have been previously introduced and shown to be competitive for cluster analysis in comparison to other elliptical mixtures including mixtures of Gaussian…

统计计算 · 统计学 2023-01-24 Utkarsh J. Dang , Michael P. B. Gallaugher , Ryan P. Browne , Paul D. McNicholas

Clustering is a widely deployed unsupervised learning tool. Model-based clustering is a flexible framework to tackle data heterogeneity when the clusters have different shapes. Likelihood-based inference for mixture distributions often…

机器学习 · 统计学 2023-05-30 Yubo Zhuang , Xiaohui Chen , Yun Yang

High-dimensional changepoint inference that adapts to various change patterns has received much attention recently. We propose a simple, fast yet effective approach for adaptive changepoint testing. The key observation is that two…

统计方法学 · 统计学 2022-05-03 Guanghui Wang , Long Feng

Correlation clustering is a central topic in unsupervised learning, with many applications in ML and data mining. In correlation clustering, one receives as input a signed graph and the goal is to partition it to minimize the number of…

数据结构与算法 · 计算机科学 2021-06-17 Vincent Cohen-Addad , Silvio Lattanzi , Slobodan Mitrović , Ashkan Norouzi-Fard , Nikos Parotsidis , Jakub Tarnawski

This paper investigates the problem of image classification with limited or no annotations, but abundant unlabeled data. The setting exists in many tasks such as semi-supervised image classification, image clustering, and image retrieval.…

计算机视觉与模式识别 · 计算机科学 2016-02-05 Dengxin Dai , Luc Van Gool

In this paper, we introduce Adaptive Cluster Lasso(ACL) method for variable selection in high dimensional sparse regression models with strongly correlated variables. To handle correlated variables, the concept of clustering or grouping…

机器学习 · 统计学 2016-03-14 Niharika Gauraha , Swapan K. Parui

Mixture models are becoming a popular tool for the clustering and classification of high-dimensional data. In such high dimensional applications, model selection is problematic. The Bayesian information criterion, which is popular in lower…

统计方法学 · 统计学 2014-06-06 Sakyajit Bhattacharya , Paul D. McNicholas

This paper presents a parallel adaptive clustering (PAC) algorithm to automatically classify data while simultaneously choosing a suitable number of classes. Clustering is an important tool for data analysis and understanding in a broad set…

机器学习 · 计算机科学 2021-04-07 Benjamin McLaughlin , Sung Ha Kang

Mixture of autoregressions (MoAR) models provide a model-based approach to the clustering of time series data. The maximum likelihood (ML) estimation of MoAR models requires the evaluation of products of large numbers of densities of normal…

统计计算 · 统计学 2016-10-19 Hien D Nguyen , Geoffrey J McLachlan , Pierre Orban , Pierre Bellec , Andrew L Janke

Adaptive model predictive control (MPC) robustly ensures safety while reducing uncertainty during operation. In this paper, a distributed version is proposed to deal with network systems featuring multiple agents and limited communication.…

系统与控制 · 电气工程与系统科学 2024-04-17 Anilkumar Parsi , Ahmed Aboudonia , Andrea Iannelli , John Lygeros , Roy S. Smith

We propose a computationally simple framework for clustering functional data based on Gaussian-process-generated random projections. In this approach, each curve is first projected onto a large collection of independent Gaussian process…

统计方法学 · 统计学 2026-05-22 Sourav Chakrabarty , Anirvan Chakraborty , Shyamal K. De

It is common to address the curse of dimensionality in Markov decision processes (MDPs) by exploiting low-rank representations. This motivates much of the recent theoretical study on linear MDPs. However, most approaches require a given…

机器学习 · 计算机科学 2022-12-09 Tianjun Zhang , Tongzheng Ren , Mengjiao Yang , Joseph E. Gonzalez , Dale Schuurmans , Bo Dai

We design new parallel algorithms for clustering in high-dimensional Euclidean spaces. These algorithms run in the Massively Parallel Computation (MPC) model, and are fully scalable, meaning that the local memory in each machine may be…

数据结构与算法 · 计算机科学 2024-07-09 Artur Czumaj , Guichen Gao , Shaofeng H. -C. Jiang , Robert Krauthgamer , Pavel Veselý