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Clustering is an unsupervised machine learning methodology where unlabeled elements/objects are grouped together aiming to the construction of well-established clusters that their elements are classified according to their similarity. The…

Machine Learning · Statistics 2023-10-20 Dimitrios Saligkaras , Vasileios E. Papageorgiou

Selecting an optimal subset of features or instances under an information theoretic criterion has become an effective preprocessing strategy for reducing data complexity while preserving essential information. This study investigates two…

Optimization and Control · Mathematics 2025-08-25 Taotao He , Jun Luo , Junkai Zhao

Cluster analysis relates to the task of assigning objects into groups which ideally present some desirable characteristics. When a cluster structure is confined to a subset of the feature space, traditional clustering techniques face…

Machine Learning · Statistics 2026-04-14 Efthymios Costa , Ioanna Papatsouma , Angelos Markos

Convex clustering is a well-regarded clustering method, resembling the similar centroid-based approach of Lloyd's $k$-means, without requiring a predefined cluster count. It starts with each data point as its centroid and iteratively merges…

Machine Learning · Statistics 2026-05-15 Shubhayan Pan , Kushal Bose , Debolina Paul , Saptarshi Chakraborty , Swagatam Das

In this paper, we investigate the problem of learning disentangled representations. Given a pair of images sharing some attributes, we aim to create a low-dimensional representation which is split into two parts: a shared representation…

Machine Learning · Statistics 2019-12-10 Eduardo Hugo Sanchez , Mathieu Serrurier , Mathias Ortner

We propose a novel framework for image clustering that incorporates joint representation learning and clustering. Our method consists of two heads that share the same backbone network - a "representation learning" head and a "clustering"…

Computer Vision and Pattern Recognition · Computer Science 2021-07-27 Kien Do , Truyen Tran , Svetha Venkatesh

By removing irrelevant and redundant features, feature selection aims to find a good representation of the original features. With the prevalence of unlabeled data, unsupervised feature selection has been proven effective in alleviating the…

Machine Learning · Computer Science 2024-03-25 Ziyuan Lin , Deanna Needell

Deep multi-view clustering seeks to utilize the abundant information from multiple views to improve clustering performance. However, most of the existing clustering methods often neglect to fully mine multi-view structural information and…

Computer Vision and Pattern Recognition · Computer Science 2025-03-17 Jinrong Cui , Xiaohuang Wu , Haitao Zhang , Chongjie Dong , Jie Wen

We investigate a clustering problem with data from a mixture of Gaussians that share a common but unknown, and potentially ill-conditioned, covariance matrix. We start by considering Gaussian mixtures with two equally-sized components and…

Machine Learning · Statistics 2021-11-30 Damek Davis , Mateo Díaz , Kaizheng Wang

As the data size in Machine Learning fields grows exponentially, it is inevitable to accelerate the computation by utilizing the ever-growing large number of available cores provided by high-performance computing hardware. However, existing…

Machine Learning · Computer Science 2021-04-23 Kun Li , Liang Yuan , Yunquan Zhang , Gongwei Chen

We consider the problem of universal joint clustering and registration of images and define algorithms using multivariate information functionals. We first study registering two images using maximum mutual information and prove its…

Information Theory · Computer Science 2017-12-04 Ravi Kiran Raman , Lav R. Varshney

Distributed processing over networks relies on in-network processing and cooperation among neighboring agents. Cooperation is beneficial when agents share a common objective. However, in many applications agents may belong to different…

Optimization and Control · Mathematics 2023-07-19 Xiaochuan Zhao , Ali H. Sayed

The main objective of the Multiple Kernel k-Means (MKKM) algorithm is to extract non-linear information and achieve optimal clustering by optimizing base kernel matrices. Current methods enhance information diversity and reduce redundancy…

Machine Learning · Computer Science 2024-03-07 Rina Su , Yu Guo , Caiying Wu , Qiyu Jin , Tieyong Zeng

Motivated by the fact that entities in a social network or biological system often interact by exchanging information, we propose an efficient info-clustering algorithm that can group entities into communities using a parametric max-flow…

Information Theory · Computer Science 2017-02-02 Chung Chan , Ali Al-Bashabsheh , Qiaoqiao Zhou

Self-supervised learning allows AI systems to learn effective representations from large amounts of data using tasks that do not require costly labeling. Mode collapse, i.e., the model producing identical representations for all inputs, is…

Machine Learning · Computer Science 2022-09-19 Serdar Ozsoy , Shadi Hamdan , Sercan Ö. Arik , Deniz Yuret , Alper T. Erdogan

Learning invariant representations from images is one of the hardest challenges facing computer vision. Spatial pooling is widely used to create invariance to spatial shifting, but it is restricted to convolutional models. In this paper, we…

Computer Vision and Pattern Recognition · Computer Science 2013-03-19 Sainbayar Sukhbaatar , Takaki Makino , Kazuyuki Aihara

This paper studies the problem of clustering in metric spaces while preserving the privacy of individual data. Specifically, we examine differentially private variants of the k-medians and Euclidean k-means problems. We present polynomial…

Data Structures and Algorithms · Computer Science 2020-08-31 Matthew Jones , Huy Lê Nguyen , Thy Nguyen

A steadily growing computational power is employed to perform molecular dynamics simulations of biological macromolecules, which represents at the same time an immense opportunity and a formidable challenge. In fact, large amounts of data…

Soft Condensed Matter · Physics 2022-05-18 Margherita Mele , Roberto Covino , Raffaello Potestio

It is known that reinforcement learning (RL) is data-hungry. To improve sample-efficiency of RL, it has been proposed that the learning algorithm utilize data from 'approximately similar' processes. However, since the process models are…

Machine Learning · Computer Science 2025-11-24 Vinay Kanakeri , Shivam Bajaj , Ashwin Verma , Vijay Gupta , Aritra Mitra

Text clustering methods were traditionally incorporated into multi-document summarization (MDS) as a means for coping with considerable information repetition. Particularly, clusters were leveraged to indicate information saliency as well…

Computation and Language · Computer Science 2022-05-23 Ori Ernst , Avi Caciularu , Ori Shapira , Ramakanth Pasunuru , Mohit Bansal , Jacob Goldberger , Ido Dagan