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We study clustering properties of networks of single integrator nodes over a directed graph, in which the nodes converge to steady-state values. These values define clustering groups of nodes, which depend on interaction topology, edge…

Systems and Control · Electrical Eng. & Systems 2023-05-17 Jeong-Min Ma , Hyung-Gon Lee , Kevin L. Moore , Hyo-Sung Ahn , Kwang-Kyo Oh

We develop a general theory of cluster categories, applying to a 2-Calabi-Yau extriangulated category $\mathcal{C}$ and cluster-tilting subcategory $\mathcal{T}$ satisfying only mild finiteness conditions. We show that the structure theory…

Representation Theory · Mathematics 2025-12-01 Jan E. Grabowski , Matthew Pressland

With the recent popularity of graphical clustering methods, there has been an increased focus on the information between samples. We show how learning cluster structure using edge features naturally and simultaneously determines the most…

Machine Learning · Statistics 2016-05-09 Matt Barnes , Artur Dubrawski

A new model called Clustering with Neural Network and Index (CNNI) is introduced. CNNI uses a Neural Network to cluster data points. Training of the Neural Network mimics supervised learning, with an internal clustering evaluation index…

Machine Learning · Computer Science 2024-12-03 Gangli Liu

Many top-down architectures for instance segmentation achieve significant success when trained and tested on pre-defined closed-world taxonomy. However, when deployed in the open world, they exhibit notable bias towards seen classes and…

Computer Vision and Pattern Recognition · Computer Science 2024-05-15 Tarun Kalluri , Weiyao Wang , Heng Wang , Manmohan Chandraker , Lorenzo Torresani , Du Tran

Clustering is a fundamental approach to understanding data patterns, wherein the intuitive Euclidean distance space is commonly adopted. However, this is not the case for implicit cluster distributions reflected by qualitative attribute…

Machine Learning · Statistics 2026-03-05 Mingjie Zhao , Sen Feng , Yiqun Zhang , Mengke Li , Yang Lu , Yiu-ming Cheung

We study the effects of center initialization on the performance of a family of distributed gradient-based clustering algorithms introduced in [1], that work over connected networks of users. In the considered scenario, each user contains a…

Scientists in many fields have the common and basic need of dimensionality reduction: visualizing the underlying structure of the massive multivariate data in a low-dimensional space. However, many dimensionality reduction methods confront…

Machine Learning · Statistics 2015-03-19 Teng Qiu , Yongjie Li

In class-incremental learning, the model is expected to learn new classes continually while maintaining knowledge on previous classes. The challenge here lies in preserving the model's ability to effectively represent prior classes in the…

Computer Vision and Pattern Recognition · Computer Science 2022-08-17 Arjun Ashok , K J Joseph , Vineeth Balasubramanian

Multiple instance learning (MIL) is a framework for weakly supervised classification, where labels are assigned to sets of instances, i.e., bags, rather than to individual data points. This paradigm has proven effective in tasks where…

Machine Learning · Computer Science 2026-03-03 Salome Kazeminia , Carsten Marr , Bastian Rieck

The method of sub-iteration, which was previously applied to the higher-order coupled cluster amplitude equations, is extended to the case of the coupled cluster $\Lambda$ equations. The sub-iteration procedure for the $\Lambda$ equations…

Chemical Physics · Physics 2025-03-26 Devin A. Matthews

Considering higher-order interactions allows for a more comprehensive understanding of network structures beyond simple pairwise connections. While leveraging all cliques in a network to handle higher-order interactions is intuitive, it…

Social and Information Networks · Computer Science 2025-09-30 Eunho Koo , Tongseok Lim

Existing clustering algorithms such as K-means often need to preset parameters such as the number of categories K, and such parameters may lead to the failure to output objective and consistent clustering results. This paper introduces a…

Machine Learning · Computer Science 2022-09-15 Shaodong Deng , Long Sheng , Jiayi Nie , Fuyi Deng

We propose In-Context Clustering (ICC), a flexible LLM-based procedure for clustering data from diverse distributions. Unlike traditional clustering algorithms constrained by predefined similarity measures, ICC flexibly captures complex…

Machine Learning · Computer Science 2025-10-10 Ying Wang , Mengye Ren , Andrew Gordon Wilson

Clustering by projection has been proposed as a way to preserve network structure in linear multi-agent systems. Here, we extend this approach to a class of nonlinear network systems. Additionally, we generalize our clustering method which…

Numerical Analysis · Mathematics 2022-04-01 Peter Benner , Sara Grundel , Petar Mlinarić

Graph-based clustering methods have demonstrated the effectiveness in various applications. Generally, existing graph-based clustering methods first construct a graph to represent the input data and then partition it to generate the…

Machine Learning · Computer Science 2019-12-17 Yuheng Jia , Hui Liu , Junhui Hou , Sam Kwong

Clustering is a promising approach for building hierarchies and simplifying the routing process in mobile ad-hoc network environments. The main objective of clustering is to identify suitable node representatives, i.e. cluster heads (CHs),…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-09-20 Damianos Gavalas , Grammati Pantziou , Charalampos Konstantopoulos , Basilis Mamalis

Many tasks in Natural Language Processing involve recognizing lexical entailment. Two different approaches to this problem have been proposed recently that are quite different from each other. The first is an asymmetric similarity measure…

Computation and Language · Computer Science 2014-12-03 John Wieting

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

Decision trees and their ensembles are popular in machine learning as easy-to-understand models. Several techniques have been proposed in the literature for learning tree-based classifiers, with different techniques working well for data…

Machine Learning · Computer Science 2025-05-20 Maria-Florina Balcan , Dravyansh Sharma
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