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We introduce a novel method for clustering using a semidefinite programming (SDP) relaxation of the Max k-Cut problem. The approach is based on a new methodology for rounding the solution of an SDP relaxation using iterated linear…

Optimization and Control · Mathematics 2022-07-07 Pedro Felzenszwalb , Caroline Klivans , Alice Paul

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

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

Subspace clustering has been extensively studied from the hypothesis-and-test, algebraic, and spectral clustering based perspectives. Most assume that only a single type/class of subspace is present. Generalizations to multiple types are…

Computer Vision and Pattern Recognition · Computer Science 2019-04-04 Xun Xu , Loong-Fah Cheong , Zhuwen Li

Given a large unlabeled set of images, how to efficiently and effectively group them into clusters based on extracted visual representations remains a challenging problem. To address this problem, we propose a convolutional neural network…

Computer Vision and Pattern Recognition · Computer Science 2017-08-14 Chih-Chung Hsu , Chia-Wen Lin

Clustering is a NP-hard problem. Thus, no optimal algorithm exists, heuristics are applied to cluster the data. Heuristics can be very resource-intensive, if not applied properly. For substantially large data sets computational efficiencies…

Databases · Computer Science 2020-03-11 Mujahid Sultan

To cluster, classify and represent are three fundamental objectives of learning from high-dimensional data with intrinsic structure. To this end, this paper introduces three interpretable approaches, i.e., segmentation (clustering) via the…

Computer Vision and Pattern Recognition · Computer Science 2023-06-21 Kai-Liang Lu , Avraham Chapman

This study focuses on exploring the use of local interpretability methods for explaining time series clustering models. Many of the state-of-the-art clustering models are not directly explainable. To provide explanations for these…

Machine Learning · Computer Science 2022-08-03 Ozan Ozyegen , Nicholas Prayogo , Mucahit Cevik , Ayse Basar

This paper aims to use term clustering to build a modular ontology according to core ontology from domain-specific text. The acquisition of semantic knowledge focuses on noun phrase appearing with the same syntactic roles in relation to a…

Information Retrieval · Computer Science 2019-01-29 Ziwei Xu , Mounira Harzallah , Fabrice Guillet

Short text clustering is a challenging task due to the lack of signal contained in such short texts. In this work, we propose iterative classification as a method to b o ost the clustering quality (e.g., accuracy) of short texts. Given a…

Information Retrieval · Computer Science 2020-02-03 Md Rashadul Hasan Rakib , Norbert Zeh , Magdalena Jankowska , Evangelos Milios

The advent of large pre-trained models has brought about a paradigm shift in both visual representation learning and natural language processing. However, clustering unlabeled images, as a fundamental and classic machine learning problem,…

Computer Vision and Pattern Recognition · Computer Science 2024-04-29 Tianzhe Chu , Shengbang Tong , Tianjiao Ding , Xili Dai , Benjamin David Haeffele , René Vidal , Yi Ma

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

We study the problem of explainable k-medians clustering introduced by Dasgupta, Frost, Moshkovitz, and Rashtchian (2020). In this problem, the goal is to construct a threshold decision tree that partitions data into k clusters while…

Machine Learning · Computer Science 2025-12-02 Konstantin Makarychev , Ilias Papanikolaou , Liren Shan

Despite the revolution caused by deep NLP models, they remain black boxes, necessitating research to understand their decision-making processes. A recent work by Dalvi et al. (2022) carried out representation analysis through the lens of…

Computation and Language · Computer Science 2024-02-02 Majd Hawasly , Fahim Dalvi , Nadir Durrani

Machine learning solutions for pattern classification problems are nowadays widely deployed in society and industry. However, the lack of transparency and accountability of most accurate models often hinders their safe use. Thus, there is a…

Machine Learning · Computer Science 2021-12-24 Gonzalo Nápoles , Yamisleydi Salgueiro , Isel Grau , Maikel Leon Espinosa

Notwithstanding the popularity of conventional clustering algorithms such as K-means and probabilistic clustering, their clustering results are sensitive to the presence of outliers in the data. Even a few outliers can compromise the…

Machine Learning · Statistics 2015-05-27 Pedro A. Forero , Vassilis Kekatos , Georgios B. Giannakis

Clustering can be defined as the process of assembling objects into a number of groups whose elements are similar to each other in some manner. As a technique that is used in many domains, such as face clustering, plant categorization,…

Machine Learning · Computer Science 2022-04-05 Mehmet F. Demirel , Enrico Au-Yeung

Collaborative Filtering (CF) is a widely used and effective technique for recommender systems. In recent decades, there have been significant advancements in latent embedding-based CF methods for improved accuracy, such as matrix…

Information Retrieval · Computer Science 2023-04-28 Yuntao Du , Jianxun Lian , Jing Yao , Xiting Wang , Mingqi Wu , Lu Chen , Yunjun Gao , Xing Xie

Deep clustering which adopts deep neural networks to obtain optimal representations for clustering has been widely studied recently. In this paper, we propose a novel deep image clustering framework to learn a category-style latent…

Computer Vision and Pattern Recognition · Computer Science 2020-07-21 Junjie Zhao , Donghuan Lu , Kai Ma , Yu Zhang , Yefeng Zheng

$\kC$ clustering is a fundamental classification problem, where the task is to categorize the given collection of entities into $k$ clusters and come up with a representative for each cluster, so that the maximum distance between an entity…

Data Structures and Algorithms · Computer Science 2025-03-04 Farehe Soheil , Kirill Simonov , Tobias Friedrich