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Modern inference and learning often hinge on identifying low-dimensional structures that approximate large scale data. Subspace clustering achieves this through a union of linear subspaces. However, in contemporary applications data is…

机器学习 · 计算机科学 2018-08-03 Daniel L. Pimentel-Alarcón , Usman Mahmood

We study clustering methods for binary data, first defining aggregation criteria that measure the compactness of clusters. Five new and original methods are introduced, using neighborhoods and population behavior combinatorial optimization…

In this paper, we propose PCKID, a novel, robust, kernel function for spectral clustering, specifically designed to handle incomplete data. By combining posterior distributions of Gaussian Mixture Models for incomplete data on different…

机器学习 · 统计学 2017-02-24 Sigurd Løkse , Filippo Maria Bianchi , Arnt-Børre Salberg , Robert Jenssen

In the collaborative clustering framework, the hope is that by combining several clustering solutions, each one with its own bias and imperfections, one will get a better overall solution. The goal is that each local computation, quite…

机器学习 · 计算机科学 2021-03-25 Yohan Foucade , Younès Bennani

Clustering, as an unsupervised technique, plays a pivotal role in various data analysis applications. Among clustering algorithms, Spectral Clustering on Euclidean Spaces has been extensively studied. However, with the rapid evolution of…

机器学习 · 计算机科学 2024-12-09 Sagar Ghosh , Swagatam Das

The similarity among samples and the discrepancy between clusters are two crucial aspects of image clustering. However, current deep clustering methods suffer from the inaccurate estimation of either feature similarity or semantic…

计算机视觉与模式识别 · 计算机科学 2022-11-23 Chuang Niu , Hongming Shan , Ge Wang

In this paper, we present an information-theoretic method for clustering mixed-type data, that is, data consisting of both continuous and categorical variables. The proposed approach extends the Information Bottleneck principle to…

统计方法学 · 统计学 2026-02-02 Efthymios Costa , Ioanna Papatsouma , Angelos Markos

We introduce PyChEst, a Python package which provides tools for the simultaneous estimation of multiple changepoints in the distribution of piece-wise stationary time series. The nonparametric algorithms implemented are provably consistent…

统计计算 · 统计学 2021-12-21 Azadeh Khaleghi , Lukas Zierahn

We consider stochastic settings for clustering, and develop provably-good approximation algorithms for a number of these notions. These algorithms yield better approximation ratios compared to the usual deterministic clustering setting.…

数据结构与算法 · 计算机科学 2023-10-13 David G. Harris , Shi Li , Thomas Pensyl , Aravind Srinivasan , Khoa Trinh

Spectral clustering refers to a family of unsupervised learning algorithms that compute a spectral embedding of the original data based on the eigenvectors of a similarity graph. This non-linear transformation of the data is both the key of…

机器学习 · 计算机科学 2019-01-30 Nicolas Tremblay , Andreas Loukas

Many studies in data mining have proposed a new learning called semi-Supervised. Such type of learning combines unlabeled and labeled data which are hard to obtain. However, in unsupervised methods, the only unlabeled data are used. The…

机器学习 · 计算机科学 2013-04-16 Badreddine Meftahi , Ourida Ben Boubaker Saidi

Unsupervised image classification, or image clustering, aims to group unlabeled images into semantically meaningful categories. Early methods integrated representation learning and clustering within an iterative framework. However, the rise…

计算机视觉与模式识别 · 计算机科学 2025-11-21 Melih Baydar , Emre Akbas

Over the last decade, the Dip-test of unimodality has gained increasing interest in the data mining community as it is a parameter-free statistical test that reliably rates the modality in one-dimensional samples. It returns a so called…

机器学习 · 计算机科学 2025-04-04 Lena G. M. Bauer , Collin Leiber , Christian Böhm , Claudia Plant

Kernel-based clustering algorithms have the ability to capture the non-linear structure in real world data. Among various kernel-based clustering algorithms, kernel k-means has gained popularity due to its simple iterative nature and ease…

计算机视觉与模式识别 · 计算机科学 2014-02-18 Radha Chitta , Rong Jin , Timothy C. Havens , Anil K. Jain

Clustering under pairwise constraints is an important knowledge discovery tool that enables the learning of appropriate kernels or distance metrics to improve clustering performance. These pairwise constraints, which come in the form of…

机器学习 · 计算机科学 2022-03-24 Benedikt Boecking , Vincent Jeanselme , Artur Dubrawski

We focus on spectral clustering of unlabeled graphs and review some results on clustering methods which achieve weak or strong consistent identification in data generated by such models. We also present a new algorithm which appears to…

统计理论 · 数学 2015-08-11 Sharmodeep Bhattacharyya , Peter J. Bickel

While clustering is ubiquitously used across science and industry, uncertainty in cluster assignments is rarely quantified with rigorous guarantees. We propose a novel conformal inference framework for clustering that returns confidence…

统计方法学 · 统计学 2026-04-13 YoonHaeng Hur , Anirban Nath , Genevera Allen

Ensemble clustering integrates a set of base clustering results to generate a stronger one. Existing methods usually rely on a co-association (CA) matrix that measures how many times two samples are grouped into the same cluster according…

机器学习 · 计算机科学 2023-02-24 Yuheng Jia , Sirui Tao , Ran Wang , Yongheng Wang

Providing situational awareness in light of severe coordinated cyber-attacks on power grids, where many measurements may be untrusted, is necessary for reliable monitoring and resilient operation of the grid. In this scenario, the set of…

系统与控制 · 电气工程与系统科学 2020-04-13 Ana Jevtić , Marija Ilić

A vast number of different methods are available for unsupervised classification. Since no algorithm and parameter setting performs best in all types of data, there is a need for cluster validation to select the actually best-performing…

机器学习 · 计算机科学 2023-08-09 Zoltán Botta-Dukát