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Self-supervised learning (SSL) is recognized as an essential tool for building foundation models for Artificial Intelligence applications. The advances in SSL have been made thanks to vigorous arguments about the principles of SSL and…

Machine Learning · Computer Science 2026-05-13 Josef Kittler , Sara Atito , Muhammad Awais

Cluster discrimination is an effective pretext task for unsupervised representation learning, which often consists of two phases: clustering and discrimination. Clustering is to assign each instance a pseudo label that will be used to learn…

Computer Vision and Pattern Recognition · Computer Science 2022-03-30 Qi Qian , Yuanhong Xu , Juhua Hu , Hao Li , Rong Jin

Kernel methods are an important class of techniques in machine learning. To be effective, good feature maps are crucial for mapping non-linearly separable input data into a higher dimensional (feature) space, thus allowing the data to be…

Quantum Physics · Physics 2024-07-16 Rowan Pellow-Jarman , Anban Pillay , Ilya Sinayskiy , Francesco Petruccione

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…

Computer Vision and Pattern Recognition · Computer Science 2025-11-21 Melih Baydar , Emre Akbas

Measuring similarity between two objects is the core operation in existing clustering algorithms in grouping similar objects into clusters. This paper introduces a new similarity measure called point-set kernel which computes the similarity…

Machine Learning · Computer Science 2022-01-07 Kai Ming Ting , Jonathan R. Wells , Ye Zhu

Clustering is an essential problem in machine learning and data mining. One vital factor that impacts clustering performance is how to learn or design the data representation (or features). Fortunately, recent advances in deep learning can…

Machine Learning · Computer Science 2015-01-14 Gang Chen

We consider an extension of model-based clustering to the semi-supervised case, where some of the data are pre-labeled. We provide a derivation of the Bayesian Information Criterion (BIC) approximation to the Bayes factor in this setting.…

Methodology · Statistics 2016-04-28 Jordan Yoder , Carey E. Priebe

We consider a problem of clustering a sequence of multinomial observations by way of a model selection criterion. We propose a form of a penalty term for the model selection procedure. Our approach subsumes both the conventional AIC and BIC…

Machine Learning · Statistics 2015-08-17 Nam H. Lee , Runze Tang , Carey E. Priebe , Michael Rosen

We construct a cross-entropy clustering (CEC) theory which finds the optimal number of clusters by automatically removing groups which carry no information. Moreover, our theory gives simple and efficient criterion to verify cluster…

Information Theory · Computer Science 2014-05-19 Przemysław Spurek , Jacek Tabor

With the recent growth in data availability and complexity, and the associated outburst of elaborate modelling approaches, model selection tools have become a lifeline, providing objective criteria to deal with this increasingly challenging…

Methodology · Statistics 2020-10-08 Alessandro Casa , Luca Scrucca , Giovanna Menardi

The objective of clustering is to discover natural groups in datasets and to identify geometrical structures which might reside there, without assuming any prior knowledge on the characteristics of the data. The problem can be seen as…

Computational Geometry · Computer Science 2018-01-26 Luis-Evaristo Caraballo , José-Miguel Díaz-Báñez , Nadine Kroher

Clustering is one of the most fundamental and wide-spread techniques in exploratory data analysis. Yet, the basic approach to clustering has not really changed: a practitioner hand-picks a task-specific clustering loss to optimize and fit…

Machine Learning · Computer Science 2019-11-01 Yibo Jiang , Nakul Verma

Boosting combines weak (biased) learners to obtain effective learning algorithms for classification and prediction. In this paper, we show a connection between boosting and kernel-based methods, highlighting both theoretical and practical…

Machine Learning · Statistics 2017-04-14 Aleksandr Y. Aravkin , Giulio Bottegal , Gianluigi Pillonetto

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…

Statistics Theory · Mathematics 2015-08-11 Sharmodeep Bhattacharyya , Peter J. Bickel

Due to the complexity of cancer, clustering algorithms have been used to disentangle the observed heterogeneity and identify cancer subtypes that can be treated specifically. While kernel based clustering approaches allow the use of more…

Machine Learning · Statistics 2018-11-21 Nora K. Speicher , Nico Pfeifer

The paper tackles the problem of clustering multiple networks, directed or not, that do not share the same set of vertices, into groups of networks with similar topology. A statistical model-based approach based on a finite mixture of…

Statistics Theory · Mathematics 2023-11-07 Tabea Rebafka

This paper is about variable selection, clustering and estimation in an unsupervised high-dimensional setting. Our approach is based on fitting constrained Gaussian mixture models, where we learn the number of clusters $K$ and the set of…

Machine Learning · Statistics 2014-02-03 Stephane Gaiffas , Bertrand Michel

We consider the problem of decentralized clustering and estimation over multi-task networks, where agents infer and track different models of interest. The agents do not know beforehand which model is generating their own data. They also do…

Optimization and Control · Mathematics 2017-05-24 Sahar Khawatmi , Ali H. Sayed , Abdelhak M. Zoubir

The fundamental goal of self-supervised learning (SSL) is to produce useful representations of data without access to any labels for classifying the data. Modern methods in SSL, which form representations based on known or constructed…

Machine Learning · Computer Science 2022-09-30 Bobak T. Kiani , Randall Balestriero , Yubei Chen , Seth Lloyd , Yann LeCun

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
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