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We consider the problem of metric learning subject to a set of constraints on relative-distance comparisons between the data items. Such constraints are meant to reflect side-information that is not expressed directly in the feature vectors…

Machine Learning · Computer Science 2016-12-06 Ehsan Amid , Aristides Gionis , Antti Ukkonen

Clustering is a long-standing research problem and a fundamental tool in AI and data analysis. The traditional k-center problem, a fundamental theoretical challenge in clustering, has a best possible approximation ratio of 2, and any…

Machine Learning · Computer Science 2026-04-28 Chaoqi Jia , Longkun Guo , Kewen Liao , Zhigang Lu , Chao Chen , Jason Xue

Source coding is the canonical problem of data compression in information theory. In a locally encodable source coding, each compressed bit depends on only few bits of the input. In this paper, we show that a recently popular model of…

Machine Learning · Statistics 2020-11-10 Arya Mazumdar , Soumyabrata Pal

Kernel methods provide a principled approach to nonparametric learning. While their basic implementations scale poorly to large problems, recent advances showed that approximate solvers can efficiently handle massive datasets. A shortcoming…

Machine Learning · Computer Science 2022-01-19 Giacomo Meanti , Luigi Carratino , Ernesto De Vito , Lorenzo Rosasco

Recent studies have demonstrated the effectiveness of clustering-based approaches for self-supervised and unsupervised learning. However, the application of clustering is often heuristic, and the optimal methodology remains unclear. In this…

Machine Learning · Computer Science 2025-11-10 Xiaodong Wang , Jing Huang , Kevin J Liang

Although distance measures are used in many machine learning algorithms, the literature on the context-independent selection and evaluation of distance measures is limited in the sense that prior knowledge is used. In cluster analysis,…

Machine Learning · Computer Science 2021-08-24 Michael C. Thrun

Search-based software testing (SBST) has been studied a lot in the literature, lately. Since, in theory, the performance of meta-heuristic search methods are highly dependent on their parameters, there is a need to study SBST tuning. In…

Software Engineering · Computer Science 2019-06-07 Shayan Zamani , Hadi Hemmati

The paper has been withdrawn since more effective experiments should be completed. Auto-encoders (AE) has been widely applied in different fields of machine learning. However, as a deep model, there are a large amount of learnable…

Machine Learning · Computer Science 2017-03-14 Zihao Wang , Yiuming Cheung

Modern supervised machine learning algorithms involve hyperparameters that have to be set before running them. Options for setting hyperparameters are default values from the software package, manual configuration by the user or configuring…

Machine Learning · Statistics 2018-10-23 Philipp Probst , Bernd Bischl , Anne-Laure Boulesteix

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…

Statistics Theory · Mathematics 2008-12-18 Luis A. García-Escudero , Alfonso Gordaliza , Carlos Matrán , Agustin Mayo-Iscar

The input of most clustering algorithms is a symmetric matrix quantifying similarity within data pairs. Such a matrix is here turned into a quadratic set function measuring cluster score or similarity within data subsets larger than pairs.…

Discrete Mathematics · Computer Science 2015-09-30 Giovanni Rossi

Clustering algorithms are widely utilized for many modern data science applications. This motivates the need to make outputs of clustering algorithms fair. Traditionally, new fair algorithmic variants to clustering algorithms are developed…

Machine Learning · Computer Science 2021-10-26 Anshuman Chhabra , Adish Singla , Prasant Mohapatra

Many clustering problems in computer vision and other contexts are also classification problems, where each cluster shares a meaningful label. Subspace clustering algorithms in particular are often applied to problems that fit this…

Machine Learning · Computer Science 2017-09-15 John Lipor , Laura Balzano

High-dimensional datasets often contain multiple meaningful clusterings in different subspaces. For example, objects can be clustered either by color, weight, or size, revealing different interpretations of the given dataset. A variety of…

Machine Learning · Computer Science 2025-04-08 Collin Leiber , Dominik Mautz , Claudia Plant , Christian Böhm

Deep learning algorithms vary depending on the underlying connection mechanism of nodes of them. They have various hyperparameters that are either set via specific algorithms or randomly chosen. Meanwhile, hyperparameters of deep learning…

Machine Learning · Computer Science 2020-11-20 M. M. Ozturk

Clustering evaluation measures are frequently used to evaluate the performance of algorithms. However, most measures are not properly normalized and ignore some information in the inherent structure of clusterings. We model the relation…

Machine Learning · Computer Science 2012-09-05 Qiaoliang Xiang , Qi Mao , Kian Ming Chai , Hai Leong Chieu , Ivor Tsang , Zhendong Zhao

In empirical work it is common to estimate parameters of models and report associated standard errors that account for "clustering" of units, where clusters are defined by factors such as geography. Clustering adjustments are typically…

Statistics Theory · Mathematics 2022-09-21 Alberto Abadie , Susan Athey , Guido Imbens , Jeffrey Wooldridge

Clustering is a class of unsupervised learning methods that has been extensively applied and studied in computer vision. Little work has been done to adapt it to the end-to-end training of visual features on large scale datasets. In this…

Computer Vision and Pattern Recognition · Computer Science 2019-03-19 Mathilde Caron , Piotr Bojanowski , Armand Joulin , Matthijs Douze

Subspace clustering refers to the problem of clustering high-dimensional data points into a union of low-dimensional linear subspaces, where the number of subspaces, their dimensions and orientations are all unknown. In this paper, we…

Machine Learning · Statistics 2014-03-17 Reinhard Heckel , Eirikur Agustsson , Helmut Bölcskei

Graph clustering is the problem of identifying sparsely connected dense subgraphs (clusters) in a given graph. Proposed clustering algorithms usually optimize various fitness functions that measure the quality of a cluster within the graph.…

Computational Complexity · Computer Science 2007-05-23 Jiri Sima , Satu Elisa Schaeffer