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A computational theory for clustering and a semi-supervised clustering algorithm is presented. Clustering is defined to be the obtainment of groupings of data such that each group contains no anomalies with respect to a chosen grouping…

Machine Learning · Computer Science 2025-07-17 Nassir Mohammad

Semi-supervised crowd analysis is a prominent area of research, as unlabeled data are typically abundant and inexpensive to obtain. However, traditional point-based annotations constrain performance because individual regions are inherently…

Computer Vision and Pattern Recognition · Computer Science 2026-03-18 Jiyang Huang , Hongru Cheng , Wei Lin , Jia Wan , Antoni B. Chan

We study the problem of clustering $T$ trajectories of length $H$, each generated by one of K unknown ergodic Markov chains over a finite state space of size $S$. We derive an instance-dependent, high-probability lower bound on the…

Machine Learning · Statistics 2026-03-18 Junghyun Lee , Yassir Jedra , Alexandre Proutière , Se-Young Yun

In this paper, we present an approach to search result clustering, using partitioning of underlying link graph. We define the notion of "query-induced subgraph" and formulate the problem of search result clustering as a problem of efficient…

Information Retrieval · Computer Science 2008-11-27 Aleksandar Bradic

We study the problem of graph partitioning, or clustering, in sparse networks with prior information about the clusters. Specifically, we assume that for a fraction $\rho$ of the nodes their true cluster assignments are known in advance.…

Physics and Society · Physics 2010-10-06 Armen E. Allahverdyan , Greg Ver Steeg , Aram Galstyan

This paper considers the problem of clustering a partially observed unweighted graph---i.e., one where for some node pairs we know there is an edge between them, for some others we know there is no edge, and for the remaining we do not know…

Machine Learning · Computer Science 2014-07-25 Yudong Chen , Ali Jalali , Sujay Sanghavi , Huan Xu

Understanding sequential information is a fundamental task for artificial intelligence. Current neural networks attempt to learn spatial and temporal information as a whole, limited their abilities to represent large scale spatial…

Computer Vision and Pattern Recognition · Computer Science 2020-06-02 Bo Pang , Kaiwen Zha , Hanwen Cao , Jiajun Tang , Minghui Yu , Cewu Lu

Graph clustering is a central topic in unsupervised learning with a multitude of practical applications. In recent years, multi-view graph clustering has gained a lot of attention for its applicability to real-world instances where one has…

Machine Learning · Computer Science 2024-06-10 Vincent Cohen-Addad , Tommaso d'Orsi , Silvio Lattanzi , Rajai Nasser

The Problem-oriented AutoML in Clustering (PoAC) framework introduces a novel, flexible approach to automating clustering tasks by addressing the shortcomings of traditional AutoML solutions. Conventional methods often rely on predefined…

Machine Learning · Computer Science 2024-09-25 Matheus Camilo da Silva , Gabriel Marques Tavares , Eric Medvet , Sylvio Barbon Junior

In this paper, we solve a semi-supervised regression problem. Due to the lack of knowledge about the data structure and the presence of random noise, the considered data model is uncertain. We propose a method which combines graph Laplacian…

Machine Learning · Statistics 2020-12-02 Vladimir Berikov , Alexander Litvinenko

Clustering is an unsupervised machine learning methodology where unlabeled elements/objects are grouped together aiming to the construction of well-established clusters that their elements are classified according to their similarity. The…

Machine Learning · Statistics 2023-10-20 Dimitrios Saligkaras , Vasileios E. Papageorgiou

Multi-task learning (MTL) aims to improve the performance of multiple related prediction tasks by leveraging useful information from them. Due to their flexibility and ability to reduce unknown coefficients substantially, the…

Machine Learning · Computer Science 2022-12-01 Yuzhao Zhang , Yifan Sun

Traditionally, practitioners initialize the {\tt k-means} algorithm with centers chosen uniformly at random. Randomized initialization with uneven weights ({\tt k-means++}) has recently been used to improve the performance over this…

Machine Learning · Statistics 2016-02-02 Jordan Yoder , Carey E. Priebe

Multi-view clustering (MVC) is a popular technique for improving clustering performance using various data sources. However, existing methods primarily focus on acquiring consistent information while often neglecting the issue of redundancy…

Machine Learning · Computer Science 2023-09-26 Chenhang Cui , Yazhou Ren , Jingyu Pu , Jiawei Li , Xiaorong Pu , Tianyi Wu , Yutao Shi , Lifang He

In this paper, we explore the problem of deep multi-view subspace clustering framework from an information-theoretic point of view. We extend the traditional information bottleneck principle to learn common information among different views…

Machine Learning · Computer Science 2023-03-22 Shiye Wang , Changsheng Li , Yanming Li , Ye Yuan , Guoren Wang

Incomplete multi-view spectral clustering generalizes spectral clustering to multi-view data and simultaneously realizes the partition of multi-view data with missing views. For this category of method, K-means algorithm needs to be…

Machine Learning · Computer Science 2025-10-14 Jun Yin , Runcheng Cai , Shiliang Sun

The development of algorithms for unsupervised pattern recognition by nonlinear clustering is a notable problem in data science. Markov clustering (MCL) is a renowned algorithm that simulates stochastic flows on a network of sample…

Machine Learning · Computer Science 2019-12-30 C. Duran , A. Acevedo , S. Ciucci , A. Muscoloni , CV. Cannistraci

Many probabilistic inference problems such as stochastic filtering or the computation of rare event probabilities require model analysis under initial and terminal constraints. We propose a solution to this bridging problem for the widely…

Systems and Control · Electrical Eng. & Systems 2021-05-28 Michael Backenköhler , Luca Bortolussi , Gerrit Großmann , Verena Wolf

In this paper we revisit the abstraction-based approach to synthesize a hierarchy of decentralized supervisors and coordinators for nonblocking control of large-scale discrete-event systems (DES), and augment it with a new clustering method…

Systems and Control · Electrical Eng. & Systems 2025-04-15 Yingying Liu , Zhaojian Cai , Kai Cai

We study the clustering problem for mixtures of bounded covariance distributions, under a fine-grained separation assumption. Specifically, given samples from a $k$-component mixture distribution $D = \sum_{i =1}^k w_i P_i$, where each $w_i…

Machine Learning · Computer Science 2023-12-20 Ilias Diakonikolas , Daniel M. Kane , Jasper C. H. Lee , Thanasis Pittas
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