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Clustering is a fundamental unsupervised learning approach. Many clustering algorithms -- such as $k$-means -- rely on the euclidean distance as a similarity measure, which is often not the most relevant metric for high dimensional data…

Machine Learning · Computer Science 2019-10-22 Aude Genevay , Gabriel Dulac-Arnold , Jean-Philippe Vert

The area of constrained clustering has been extensively explored by researchers and used by practitioners. Constrained clustering formulations exist for popular algorithms such as k-means, mixture models, and spectral clustering but have…

Machine Learning · Computer Science 2021-01-11 Hongjing Zhang , Tianyang Zhan , Sugato Basu , Ian Davidson

Clustering is a usual unsupervised machine learning technique for grouping the data points into groups based upon similar features. We focus here on unsupervised clustering for contaminated data, i.e in the case where K-medians should be…

Statistics Theory · Mathematics 2024-02-28 Antoine Godichon-Baggioni , Sobihan Surendran

Kernel $k$-means clustering is a powerful tool for unsupervised learning of non-linearly separable data. Since the earliest attempts, researchers have noted that such algorithms often become trapped by local minima arising from…

Machine Learning · Statistics 2020-11-13 Debolina Paul , Saptarshi Chakraborty , Swagatam Das , Jason Xu

We address the problem of communicating domain knowledge from a user to the designer of a clustering algorithm. We propose a protocol in which the user provides a clustering of a relatively small random sample of a data set. The algorithm…

Machine Learning · Statistics 2015-06-22 Hassan Ashtiani , Shai Ben-David

We consider clustering in group decision making where the opinions are given by pairwise comparison matrices. In particular, the k-medoids model is suggested to classify the matrices since it has a linear programming problem formulation…

Optimization and Control · Mathematics 2025-04-17 Kolos Csaba Ágoston , Sándor Bozóki , László Csató

Most learning approaches treat dimensionality reduction (DR) and clustering separately (i.e., sequentially), but recent research has shown that optimizing the two tasks jointly can substantially improve the performance of both. The premise…

Machine Learning · Computer Science 2017-06-15 Bo Yang , Xiao Fu , Nicholas D. Sidiropoulos , Mingyi Hong

In this paper, we investigate the learning-augmented $k$-median clustering problem, which aims to improve the performance of traditional clustering algorithms by preprocessing the point set with a predictor of error rate $\alpha \in [0,1)$.…

Data Structures and Algorithms · Computer Science 2026-03-12 Kangke Cheng , Shihong Song , Guanlin Mo , Hu Ding

Text clustering is a fundamental task in natural language processing, yet traditional clustering algorithms with pre-trained embeddings often struggle in domain-specific contexts without costly fine-tuning. Large language models (LLMs)…

Computation and Language · Computer Science 2025-12-05 Yiming Xu , Yuan Yuan , Vijay Viswanathan , Graham Neubig

This work proposes an ensemble clustering method using transfer learning approach. We consider a clustering problem, in which in addition to data under consideration, "similar" labeled data are available. The datasets can be described with…

Machine Learning · Computer Science 2020-01-22 Vladimir Berikov

This paper considers a canonical clustering problem where one receives unlabeled samples drawn from a balanced mixture of two elliptical distributions and aims for a classifier to estimate the labels. Many popular methods including PCA and…

Machine Learning · Statistics 2021-11-30 Kaizheng Wang , Yuling Yan , Mateo Díaz

Even though large language models (LLMs) have demonstrated remarkable capability in solving various natural language tasks, the capability of an LLM to follow human instructions is still a concern. Recent works have shown great improvements…

Computation and Language · Computer Science 2024-03-05 Xinbo Wu , Lav R. Varshney

Clustering using neural networks has recently demonstrated promising performance in machine learning and computer vision applications. However, the performance of current approaches is limited either by unsupervised learning or their…

Machine Learning · Computer Science 2018-07-11 Ankita Shukla , Gullal Singh Cheema , Saket Anand

Traditional machine learning approaches assume that data comes from a single generating mechanism, which may not hold for most real life data. In these cases, the single mechanism assumption can result in suboptimal performance. We…

Machine Learning · Computer Science 2025-01-31 Mehmet Efe Lorasdagi , Ahmet Berker Koc , Ali Taha Koc , Suleyman Serdar Kozat

The recent framework of compressive statistical learning aims at designing tractable learning algorithms that use only a heavily compressed representation-or sketch-of massive datasets. Compressive K-Means (CKM) is such a method: it…

Machine Learning · Computer Science 2018-08-01 Vincent Schellekens , Laurent Jacques

The rise of transformers in vision tasks not only advances network backbone designs, but also starts a brand-new page to achieve end-to-end image recognition (e.g., object detection and panoptic segmentation). Originated from Natural…

Computer Vision and Pattern Recognition · Computer Science 2023-07-12 Qihang Yu , Huiyu Wang , Siyuan Qiao , Maxwell Collins , Yukun Zhu , Hartwig Adam , Alan Yuille , Liang-Chieh Chen

Learning a better representation with neural networks is a challenging problem, which was tackled extensively from different prospectives in the past few years. In this work, we focus on learning a representation that could be used for a…

Machine Learning · Computer Science 2017-05-02 Alexey Romanov , Anna Rumshisky

Neural network-based clustering has recently gained popularity, and in particular a constrained clustering formulation has been proposed to perform transfer learning and image category discovery using deep learning. The core idea is to…

Computer Vision and Pattern Recognition · Computer Science 2018-06-29 Yen-Chang Hsu , Zhaoyang Lv , Joel Schlosser , Phillip Odom , Zsolt Kira

We propose a novel agglomerative clustering method based on unmasking, a technique that was previously used for authorship verification of text documents and for abnormal event detection in videos. In order to join two clusters, we…

Computer Vision and Pattern Recognition · Computer Science 2019-05-03 Mariana-Iuliana Georgescu , Radu Tudor Ionescu

We propose a simple and efficient clustering method for high-dimensional data with a large number of clusters. Our algorithm achieves high-performance by evaluating distances of datapoints with a subset of the cluster centres. Our…

Machine Learning · Computer Science 2022-03-30 Georgios Exarchakis , Omar Oubari , Gregor Lenz