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The clustering of bounded data presents unique challenges in statistical analysis due to the constraints imposed on the data values. This paper introduces a novel method for model-based clustering specifically designed for bounded data.…

统计方法学 · 统计学 2025-05-16 Luca Scrucca

Generative graph models struggle to scale due to the need to predict the existence or type of edges between all node pairs. To address the resulting quadratic complexity, existing scalable models often impose restrictive assumptions such as…

机器学习 · 计算机科学 2024-05-24 Yiming Qin , Clement Vignac , Pascal Frossard

Discovering and clustering subspaces in high-dimensional data is a fundamental problem of machine learning with a wide range of applications in data mining, computer vision, and pattern recognition. Earlier methods divided the problem into…

机器学习 · 统计学 2018-08-30 Maryam Jaberi , Marianna Pensky , Hassan Foroosh

This paper studies sparse density estimation via $\ell_1$ penalization (SPADES). We focus on estimation in high-dimensional mixture models and nonparametric adaptive density estimation. We show, respectively, that SPADES can recover, with…

统计理论 · 数学 2010-10-22 Florentina Bunea , Alexandre B. Tsybakov , Marten H. Wegkamp , Adrian Barbu

We consider high-dimensional distribution estimation through autoregressive networks. By combining the concepts of sparsity, mixtures and parameter sharing we obtain a simple model which is fast to train and which achieves state-of-the-art…

机器学习 · 统计学 2016-04-28 Marc Goessling , Yali Amit

Clustering high-dimensional data often requires some form of dimensionality reduction, where clustered variables are separated from "noise-looking" variables. We cast this problem as finding a low-dimensional projection of the data which is…

机器学习 · 统计学 2016-08-30 Nicolas Flammarion , Balamurugan Palaniappan , Francis Bach

Conventional survival analysis methods are typically ineffective to characterize heterogeneity in the population while such information can be used to assist predictive modeling. In this study, we propose a hybrid survival analysis method,…

机器学习 · 计算机科学 2024-04-09 Bojian Hou , Hongming Li , Zhicheng Jiao , Zhen Zhou , Hao Zheng , Yong Fan

Bayesian variable selection methods are powerful techniques for fitting and inferring on sparse high-dimensional linear regression models. However, many are computationally intensive or require restrictive prior distributions on model…

统计方法学 · 统计学 2023-10-10 Alexander C. McLain , Anja Zgodic , Howard Bondell

Recent work on overfitting Bayesian mixtures of distributions offers a powerful framework for clustering multivariate data using a latent Gaussian model which resembles the factor analysis model. The flexibility provided by overfitting…

统计方法学 · 统计学 2019-08-29 Panagiotis Papastamoulis

Well-spread samples are desirable in many disciplines because they improve estimation when target variables exhibit spatial structure. This paper introduces an integrated methodological framework for spreading samples over the population's…

统计方法学 · 统计学 2025-10-29 Bardia Panahbehagh , Mehdi Mohebbi , Amir Mohammad HosseiniNasab

We present ImplicitSLIM, a novel unsupervised learning approach for sparse high-dimensional data, with applications to collaborative filtering. Sparse linear methods (SLIM) and their variations show outstanding performance, but they are…

信息检索 · 计算机科学 2024-06-04 Ilya Shenbin , Sergey Nikolenko

In this paper, we propose a general collaborative sparse representation framework for multi-sensor classification, which takes into account the correlations as well as complementary information between heterogeneous sensors simultaneously…

计算机视觉与模式识别 · 计算机科学 2016-06-17 Minh Dao , Nam H. Nguyen , Nasser M. Nasrabadi , Trac D. Tran

Sparse representations using data dictionaries provide an efficient model particularly for signals that do not enjoy alternate analytic sparsifying transformations. However, solving inverse problems with sparsifying dictionaries can be…

计算机视觉与模式识别 · 计算机科学 2021-01-01 Vishwanath Saragadam , Xin Li , Aswin Sankaranarayanan

We consider estimation in a high-dimensional linear model with strongly correlated variables. We propose to cluster the variables first and do subsequent sparse estimation such as the Lasso for cluster-representatives or the group Lasso…

统计方法学 · 统计学 2015-01-14 Peter Bühlmann , Philipp Rütimann , Sara van de Geer , Cun-Hui Zhang

Many classification approaches first represent a test sample using the training samples of all the classes. This collaborative representation is then used to label the test sample. It was a common belief that sparseness of the…

计算机视觉与模式识别 · 计算机科学 2015-12-01 Naveed Akhtar , Faisal Shafait , Ajmal Mian

Clustering techniques are very attractive for extracting and identifying patterns in datasets. However, their application to very large spatial datasets presents numerous challenges such as high-dimensionality data, heterogeneity, and high…

数据库 · 计算机科学 2018-02-27 Malika Bendechache , Nhien-An Le-Khac , M-Tahar Kechadi

Recent studies have demonstrated advantages of information fusion based on sparsity models for multimodal classification. Among several sparsity models, tree-structured sparsity provides a flexible framework for extraction of…

计算机视觉与模式识别 · 计算机科学 2015-02-04 Soheil Bahrampour , Asok Ray , Nasser M. Nasrabadi , Kenneth W. Jenkins

Recently, the retrieval models based on dense representations have been gradually applied in the first stage of the document retrieval tasks, showing better performance than traditional sparse vector space models. To obtain high efficiency,…

信息检索 · 计算机科学 2021-08-20 Hongyin Tang , Xingwu Sun , Beihong Jin , Jingang Wang , Fuzheng Zhang , Wei Wu

A sparse modeling approach is proposed for analyzing scanning tunneling microscopy topography data, which contains numerous peaks corresponding to surface atoms. The method, based on the relevance vector machine with $\mathrm{L}_1$…

数据分析、统计与概率 · 物理学 2018-03-13 Masamichi J. Miyama , Koji Hukushima

Dataset Condensation aims to condense a large dataset into a smaller one while maintaining its ability to train a well-performing model, thus reducing the storage cost and training effort in deep learning applications. However, conventional…

机器学习 · 计算机科学 2023-07-20 Ganlong Zhao , Guanbin Li , Yipeng Qin , Yizhou Yu