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Spectral clustering is one of the most popular, yet still incompletely understood, methods for community detection on graphs. This article studies spectral clustering based on the Bethe-Hessian matrix $H_r = (r^2-1)I_n + D-rA$ for sparse…

社会与信息网络 · 计算机科学 2019-10-10 Lorenzo Dall'Amico , Romain Couillet , Nicolas Tremblay

We propose a three-stage framework for forecasting high-dimensional time-series data. Our method first estimates parameters for each univariate time series. Next, we use these parameters to cluster the time series. These clusters can be…

机器学习 · 计算机科学 2021-10-28 Reese Pathak , Rajat Sen , Nikhil Rao , N. Benjamin Erichson , Michael I. Jordan , Inderjit S. Dhillon

This paper constructs individual-specific density forecasts for a panel of firms or households using a dynamic linear model with common and heterogeneous coefficients as well as cross-sectional heteroskedasticity. The panel considered in…

计量经济学 · 经济学 2021-10-06 Laura Liu

We address a core problem in causal inference: estimating heterogeneous treatment effects using panel data with general treatment patterns. Many existing methods either do not utilize the potential underlying structure in panel data or have…

机器学习 · 统计学 2024-06-11 Retsef Levi , Elisabeth Paulson , Georgia Perakis , Emily Zhang

Identifying homogeneous subgroups of variables can be challenging in high dimensional data analysis with highly correlated predictors. We propose a new method called Hexagonal Operator for Regression with Shrinkage and Equality Selection,…

机器学习 · 统计学 2013-02-04 Woncheol Jang , Johan Lim , Nicole A. Lazar , Ji Meng Loh , Donghyeon Yu

A rank-invariant clustering of variables is introduced that is based on the predictive strength between groups of variables, i.e., two groups are assigned a high similarity if the variables in the first group contain high predictive…

统计方法学 · 统计学 2023-12-29 Sebastian Fuchs , Yuping Wang

One of the fundamental problems in network analysis is detecting community structure in multi-layer networks, of which each layer represents one type of edge information among the nodes. We propose integrative spectral clustering approaches…

机器学习 · 统计学 2022-10-07 Sihan Huang , Haolei Weng , Yang Feng

We present a convex approach to probabilistic segmentation and modeling of time series data. Our approach builds upon recent advances in multivariate total variation regularization, and seeks to learn a separate set of parameters for the…

机器学习 · 统计学 2015-11-17 Matt Wytock , J. Zico Kolter

Sparse logistic regression is for classification and feature selection simultaneously. Although many studies have been done to solve $\ell_1$-regularized logistic regression, there is no equivalently abundant work on solving sparse logistic…

机器学习 · 计算机科学 2023-10-13 Mengyuan Zhang , Kai Liu

Inspired by the recently remarkable successes of Sparse Representation (SR), Collaborative Representation (CR) and sparse graph, we present a novel hypergraph model named Regression-based Hypergraph (RH) which utilizes the regression models…

计算机视觉与模式识别 · 计算机科学 2016-03-15 Sheng Huang , Dan Yang , Bo Liu , Xiaohong Zhang

We describe a general framework -- compressive statistical learning -- for resource-efficient large-scale learning: the training collection is compressed in one pass into a low-dimensional sketch (a vector of random empirical generalized…

机器学习 · 统计学 2021-06-23 Rémi Gribonval , Gilles Blanchard , Nicolas Keriven , Yann Traonmilin

Important objectives in cancer research are the prediction of a patient's risk based on molecular measurements such as gene expression data and the identification of new prognostic biomarkers (e.g. genes). In clinical practice, this is…

应用统计 · 统计学 2020-04-17 Katrin Madjar , Manuela Zucknick , Katja Ickstadt , Jörg Rahnenführer

Micro-panel data are collected and analysed in many research and industry areas. Cluster analysis of micro-panel data is an unsupervised learning exploratory method identifying subgroup clusters in a data set which include homogeneous…

机器学习 · 统计学 2018-07-17 Lukas Sobisek , Maria Stachova , Jan Fojtik

The Convolutional Neural Network (CNN) has achieved great success in image classification. The classification model can also be utilized at image or patch level for many other applications, such as object detection and segmentation. In this…

计算机视觉与模式识别 · 计算机科学 2014-12-23 Jun Yuan , Bingbing Ni , Ashraf A. Kassim

The primary goal in cluster analysis is to discover natural groupings of objects. The field of cluster analysis is crowded with diverse methods that make special assumptions about data and address different scientific aims. Despite its…

基因组学 · 定量生物学 2018-06-07 Gary K. Chen , Eric Chi , John Ranola , Kenneth Lange

Clustered data is ubiquitous in a variety of scientific fields. In this paper, we propose a flexible and interpretable modeling approach, called grouped heterogenous mixture modeling, for clustered data, which models cluster-wise…

统计方法学 · 统计学 2020-02-10 Shonosuke Sugasawa

We introduce a new method for performing clustering with the aim of fitting clusters with different scatters and weights. It is designed by allowing to handle a proportion $\alpha$ of contaminating data to guarantee the robustness of the…

We consider adaptive system identification problems with convex constraints and propose a family of regularized Least-Mean-Square (LMS) algorithms. We show that with a properly selected regularization parameter the regularized LMS provably…

统计方法学 · 统计学 2010-12-24 Yilun Chen , Yuantao Gu , Alfred O. Hero

This paper explores the problem of clustering ensemble, which aims to combine multiple base clusterings to produce better performance than that of the individual one. The existing clustering ensemble methods generally construct a…

机器学习 · 计算机科学 2020-12-17 Yuheng Jia , Hui Liu , Junhui Hou , Qingfu Zhang

We introduce a general semiparametric clusterwise elliptical distribution to assess how latent cluster structure shapes continuous outcomes. Using a subjectwise representation, we first estimate cluster-specific mean vectors and a…

统计方法学 · 统计学 2026-04-10 Jen-Chieh Teng , Sheng-Hsin Fan , Chin-Tsang Chiang , Ming-Yueh Huang , Alvin Lim