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Clustering is the task of gathering similar data samples into clusters without using any predefined labels. It has been widely studied in machine learning literature, and recent advancements in deep learning have revived interest in this…

Machine Learning · Computer Science 2023-09-04 Mohammadreza Sadeghi , Hadi Hojjati , Narges Armanfard

Clustering arises in a wide range of problem formulations, yet most existing approaches assume that the entities under clustering are passive and strictly conform to their assigned groups. In reality, entities often exhibit local autonomy,…

Machine Learning · Computer Science 2025-10-09 Amber Srivastava , Salar Basiri , Srinivasa Salapaka

Algebraic Subspace Clustering (ASC) is a simple and elegant method based on polynomial fitting and differentiation for clustering noiseless data drawn from an arbitrary union of subspaces. In practice, however, ASC is limited to…

Computer Vision and Pattern Recognition · Computer Science 2015-10-16 Manolis C. Tsakiris , Rene Vidal

The seen birds twitter, the running cars accompany with noise, etc. These naturally audiovisual correspondences provide the possibilities to explore and understand the outside world. However, the mixed multiple objects and sounds make it…

Computer Vision and Pattern Recognition · Computer Science 2019-04-22 Di Hu , Feiping Nie , Xuelong Li

Deep clustering algorithms combine representation learning and clustering by jointly optimizing a clustering loss and a non-clustering loss. In such methods, a deep neural network is used for representation learning together with a…

Machine Learning · Computer Science 2020-06-09 Abien Fred Agarap , Arnulfo P. Azcarraga

Recent developed deep unsupervised methods allow us to jointly learn representation and cluster unlabelled data. These deep clustering methods mainly focus on the correlation among samples, e.g., selecting high precision pairs to gradually…

Computer Vision and Pattern Recognition · Computer Science 2019-08-13 Jianlong Wu , Keyu Long , Fei Wang , Chen Qian , Cheng Li , Zhouchen Lin , Hongbin Zha

The paper proposes a semantic clustering based deduction learning by mimicking the learning and thinking process of human brains. Human beings can make judgments based on experience and cognition, and as a result, no one would recognize an…

Computer Vision and Pattern Recognition · Computer Science 2021-12-28 Wenchi Ma , Xuemin Tu , Bo Luo , Guanghui Wang

We discuss topological aspects of cluster analysis and show that inferring the topological structure of a dataset before clustering it can considerably enhance cluster detection: theoretical arguments and empirical evidence show that…

Machine Learning · Computer Science 2022-07-04 Moritz Herrmann , Daniyal Kazempour , Fabian Scheipl , Peer Kröger

Analog-to-digital converters (ADCs) allow physical signals to be processed using digital hardware. Their conversion consists of two stages: Sampling, which maps a continuous-time signal into discrete-time, and quantization, i.e.,…

Signal Processing · Electrical Eng. & Systems 2023-01-25 Nir Shlezinger , Ariel Amar , Ben Luijten , Ruud J. G. van Sloun , Yonina C. Eldar

Unordered feature sets are a nonstandard data structure that traditional neural networks are incapable of addressing in a principled manner. Providing a concatenation of features in an arbitrary order may lead to the learning of spurious…

Machine Learning · Computer Science 2017-09-12 Andrew Gardner , Jinko Kanno , Christian A. Duncan , Rastko R. Selmic

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

Finding well-defined clusters in data represents a fundamental challenge for many data-driven applications, and largely depends on good data representation. Drawing on literature regarding representation learning, studies suggest that one…

Machine Learning · Computer Science 2020-11-05 Daniel Lutscher , Ali el Hassouni , Maarten Stol , Mark Hoogendoorn

State-of-the-art approaches for clustering high-dimensional data utilize deep auto-encoder architectures. Many of these networks require a large number of parameters and suffer from a lack of interpretability, due to the black-box nature of…

Machine Learning · Computer Science 2022-02-28 Alexander Lin , Andrew H. Song , Demba Ba

Modulation recognition is an important task in radio signal processing. Most of the current researches focus on supervised learning. However, in many real scenarios, it is difficult and cost to obtain the labels of signals. In this letter,…

Signal Processing · Electrical Eng. & Systems 2021-07-27 Qi Xuan , Xiaohui Li , Zhuangzhi Chen , Dongwei Xu , Shilian Zheng , Xiaoniu Yang

This paper studies a factor modeling-based approach for clustering high-dimensional data generated from a mixture of strongly correlated variables. Statistical modeling with correlated structures pervades modern applications in economics,…

Statistics Theory · Mathematics 2024-08-23 Shange Tang , Soham Jana , Jianqing Fan

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

Cluster analysis plays an indispensable role in machine learning and data mining. Learning a good data representation is crucial for clustering algorithms. Recently, deep clustering, which can learn clustering-friendly representations using…

Machine Learning · Computer Science 2022-10-11 Yazhou Ren , Jingyu Pu , Zhimeng Yang , Jie Xu , Guofeng Li , Xiaorong Pu , Philip S. Yu , Lifang He

In science and engineering, intelligent processing of complex signals such as images, sound or language is often performed by a parameterized hierarchy of nonlinear processing layers, sometimes biologically inspired. Hierarchical systems…

Machine Learning · Computer Science 2012-12-27 Miguel Á. Carreira-Perpiñán , Weiran Wang

We give an efficient algorithm for Centroid-Linkage Hierarchical Agglomerative Clustering (HAC), which computes a $c$-approximate clustering in roughly $n^{1+O(1/c^2)}$ time. We obtain our result by combining a new Centroid-Linkage HAC…

Data Structures and Algorithms · Computer Science 2024-06-10 MohammadHossein Bateni , Laxman Dhulipala , Willem Fletcher , Kishen N Gowda , D Ellis Hershkowitz , Rajesh Jayaram , Jakub Łącki

Deep clustering methods typically rely on a single, well-defined representation for clustering. In contrast, pretrained diffusion models provide abundant and diverse multi-scale representations across network layers and noise timesteps.…

Machine Learning · Computer Science 2026-01-22 Haidong Hu , Xiaoyu Zheng , Jin Zhou , Yingxu Wang , Rui Wang , Pei Dong , Shiyuan Han , Lin Wang , C. L. Philip Chen , Tong Zhang , Yuehui Chen