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Subtype Discovery consists in finding interpretable and consistent sub-parts of a dataset, which are also relevant to a certain supervised task. From a mathematical point of view, this can be defined as a clustering task driven by…

Machine Learning · Statistics 2021-07-06 Robin Louiset , Pietro Gori , Benoit Dufumier , Josselin Houenou , Antoine Grigis , Edouard Duchesnay

The clustering of bounded data presents unique challenges in statistical analysis due to the constraints imposed on the data values. This paper introduces a novel method for model-based clustering specifically designed for bounded data.…

Methodology · Statistics 2025-05-16 Luca Scrucca

Single-level density-based approach has long been widely acknowledged to be a conceptually and mathematically convincing clustering method. In this paper, we propose an algorithm called "best-scored clustering forest" that can obtain the…

Machine Learning · Statistics 2019-06-25 Hanyuan Hang , Yuchao Cai , Hanfang Yang

The clustering coefficient is a valuable tool for understanding the structure of complex networks. It is widely used to analyze social networks, biological networks, and other complex systems. While there is generally a single common…

Physics and Society · Physics 2024-01-09 Alexander I Nesterov

Large neural networks are difficult to deploy on mobile devices because of intensive computation and storage. To alleviate it, we study ternarization, a balance between efficiency and accuracy that quantizes both weights and activations…

Computer Vision and Pattern Recognition · Computer Science 2022-04-05 Weixiang Xu , Xiangyu He , Tianli Zhao , Qinghao Hu , Peisong Wang , Jian Cheng

One basic requirement of many studies is the necessity of classifying data. Clustering is a proposed method for summarizing networks. Clustering methods can be divided into two categories named model-based approaches and algorithmic…

Machine Learning · Computer Science 2013-02-19 Raheleh Namayandeh , Farzad Didehvar , Zahra Shojaei

In this paper, we introduce a neural network framework for semi-supervised clustering (SSC) with pairwise (must-link or cannot-link) constraints. In contrast to existing approaches, we decompose SSC into two simpler classification…

Machine Learning · Computer Science 2020-01-22 Marek Śmieja , Łukasz Struski , Mário A. T. Figueiredo

Random instances of Constraint Satisfaction Problems (CSP's) appear to be hard for all known algorithms, when the number of constraints per variable lies in a certain interval. Contributing to the general understanding of the structure of…

Discrete Mathematics · Computer Science 2009-04-20 Andrea Montanari , Ricardo Restrepo , Prasad Tetali

In modern data analysis, statistical efficiency improvement is expected via effective collaboration among multiple data holders with non-shared data. In this article, we propose a collaborative score-type test (CST) for testing linear…

Methodology · Statistics 2025-04-30 Yifan Gu , Hanfang Yang , Songshan Yang , Hui Zou

In this paper, we consider the problem of assessing local clustering in complex networks. Various definitions for this measure have been proposed for the cases of networks having weighted edges, but less attention has been paid to both…

Physics and Society · Physics 2017-12-21 Gian Paolo Clemente , Rosanna Grassi

Measuring graph clustering quality remains an open problem. To address it, we introduce quality measures based on comparisons of intra- and inter-cluster densities, an accompanying statistical test of the significance of their differences…

Social and Information Networks · Computer Science 2020-03-20 Pierre Miasnikof , Alexander Y. Shestopaloff , Anthony J. Bonner , Yuri Lawryshyn , Panos M. Pardalos

The recent high level of interest in weighted complex networks gives rise to a need to develop new measures and to generalize existing ones to take the weights of links into account. Here we focus on various generalizations of the…

Statistical Mechanics · Physics 2013-05-29 J. Saramaki , M. Kivela , J. -P. Onnela , K. Kaski , J. Kertesz

This technical report presents research results achieved in the field of verification of trained Convolutional Neural Network (CNN) used for image classification in safety-critical applications. As running example, we use the obstacle…

Computer Vision and Pattern Recognition · Computer Science 2024-01-15 Jan Peleska , Felix Brüning , Mario Gleirscher , Wen-ling Huang

Accurately representing the complex linkages and inherent uncertainties included in huge datasets is still a major difficulty in the field of data clustering. We address these issues with our proposed Unified Neutrosophic Clustering…

Machine Learning · Computer Science 2025-02-26 D. Dhinakaran , S. Edwin Raja , S. Gopalakrishnan , D. Selvaraj , S. D. Lalitha

A promising direction in deep learning research consists in learning representations and simultaneously discovering cluster structure in unlabeled data by optimizing a discriminative loss function. As opposed to supervised deep learning,…

We consider the scenario of deep clustering, in which the available prior knowledge is limited. In this scenario, few existing state-of-the-art deep clustering methods can perform well for both non-complex topology and complex topology…

Machine Learning · Statistics 2023-03-07 Yuhui Zhang , Yuichiro Wada , Hiroki Waida , Kaito Goto , Yusaku Hino , Takafumi Kanamori

Clustering is a fundamental task in unsupervised learning, but most existing methods heavily rely on hyperparameters such as the number of clusters or other sensitive settings, limiting their applicability in real-world scenarios. To…

Machine Learning · Computer Science 2026-03-25 Lijun Zhang , Suyuan Liu , Siwei Wang , Shengju Yu , Xueling Zhu , Miaomiao Li , Xinwang Liu

We take an image science perspective on the problem of determining brain network connectivity given functional activity. But adapting the concept of image resolution to this problem, we provide a new perspective on network partitioning for…

Neurons and Cognition · Quantitative Biology 2020-02-14 Keith Dillon , Yu-Ping Wang

Real-world networks often exhibit strong transitivity with nontrivial local clustering spectra and degree correlations. Such features are not easily modeled in tractable network models, creating an obstacle to the theoretical understanding…

Physics and Society · Physics 2026-05-26 Lorenzo Cirigliano , Gareth J. Baxter , Gábor Timár

Clustering is an important research topic for wireless sensor networks (WSNs). A large variety of approaches has been presented focusing on different performance metrics. Even though all of them have many practical applications, an…

Networking and Internet Architecture · Computer Science 2011-07-11 Dimitrios Amaxilatis , Ioannis Chatzigiannakis , Christos Koninis , Apostolos Pyrgelis