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Research on cluster analysis for categorical data continues to develop, with new clustering algorithms being proposed. However, in this context, the determination of the number of clusters is rarely addressed. In this paper, we propose a…

统计方法学 · 统计学 2014-09-29 Cláudia Silvestre , Margarida G. M. S. Cardoso , Mário A. T. Figueiredo

Motivated by theoretical advancements in dimensionality reduction techniques we use a recent model, called Block Markov Chains, to conduct a practical study of clustering in real-world sequential data. Clustering algorithms for Block Markov…

机器学习 · 计算机科学 2022-10-05 Alexander Van Werde , Albert Senen-Cerda , Gianluca Kosmella , Jaron Sanders

In this paper, we consider the task of clustering a set of individual time series while modeling each cluster, that is, model-based time series clustering. The task requires a parametric model with sufficient flexibility to describe the…

机器学习 · 计算机科学 2023-02-23 Ryohei Umatani , Takashi Imai , Kaoru Kawamoto , Shutaro Kunimasa

Discovering the underlying dynamics of complex systems from data is an important practical topic. Constrained optimization algorithms are widely utilized and lead to many successes. Yet, such purely data-driven methods may bring about…

动力系统 · 数学 2023-05-17 Nan Chen , Yinling Zhang

Clustering is a popular unsupervised learning tool often used to discover groups within a larger population such as customer segments, or patient subtypes. However, despite its use as a tool for subgroup discovery and description - few…

机器学习 · 计算机科学 2021-12-13 Connor Lawless , Jayant Kalagnanam , Lam M. Nguyen , Dzung Phan , Chandra Reddy

Physically interpretable models are essential for next-generation industrial systems, as these representations enable effective control, support design validation, and provide a foundation for monitoring strategies. The aim of this paper is…

系统与控制 · 电气工程与系统科学 2026-04-01 Maarten van der Hulst , Rodrigo A. González , Koen Classens , Paul Tacx , Nick Dirkx , Jeroen van de Wijdeven , Tom Oomen

Behaviour cloning is a commonly used strategy for imitation learning and can be extremely effective in constrained domains. However, in cases where the dynamics of an environment may be state dependent and varying, behaviour cloning places…

机器人学 · 计算机科学 2019-09-19 Michael Burke , Yordan Hristov , Subramanian Ramamoorthy

Many real-world complex networks exhibit a community structure, in which the modules correspond to actual functional units. Identifying these communities is a key challenge for scientists. A common approach is to search for the network…

物理与社会 · 物理学 2016-12-22 Federico Botta , Charo I. del Genio

The structure of many complex networks includes edge directionality and weights on top of their topology. Network analysis that can seamlessly consider combination of these properties are desirable. In this paper, we study two important…

社会与信息网络 · 计算机科学 2021-11-24 Frederique Oggier , Silivanxay Phetsouvanh , Anwitaman Datta

An approach to improve network interpretability is via clusterability, i.e., splitting a model into disjoint clusters that can be studied independently. We find pretrained models to be highly unclusterable and thus train models to be more…

机器学习 · 计算机科学 2025-07-29 Satvik Golechha , Dylan Cope , Nandi Schoots

A variety of complex biological, natural and man-made systems exhibit non-Markovian dynamics that can be modeled through fractional order differential equations, yet, we lack sample comlexity aware system identification strategies. Towards…

系统与控制 · 电气工程与系统科学 2025-06-23 Xiaole Zhang , Vijay Gupta , Paul Bogdan

Biclustering is a powerful unsupervised learning technique for simultaneously identifying coherent subsets of rows and columns in a data matrix, thus revealing local patterns that may not be apparent in global analyses. However, most…

统计方法学 · 统计学 2026-03-20 Sijian Fan , Ray Bai

In this study, we present a method for classifying dynamical systems using a hybrid approach involving recurrence plots and a convolution neural network (CNN). This is performed by obtaining the recurrence matrix of a time series generated…

数据分析、统计与概率 · 物理学 2021-11-02 Daniel Han , Giuseppe Orlando , Sergei Fedotov

Current modularity-based community detection algorithms attempt to find cluster memberships that maximize modularity within a fixed graph topology. Diverging from this conventional approach, our work introduces a novel strategy that employs…

数据分析、统计与概率 · 物理学 2024-02-27 Yongyu Wang , Shiqi Hao , Xiaoyang Wang , Xiaotian Zhuang

Clustering and outlier detection are two important tasks in data mining. Outliers frequently interfere with clustering algorithms to determine the similarity between objects, resulting in unreliable clustering results. Currently, only a few…

机器学习 · 计算机科学 2024-12-10 Qi Li , Shuliang Wang

This paper presents a novel approach to binary classification using dynamic logistic ensemble models. The proposed method addresses the challenges posed by datasets containing inherent internal clusters that lack explicit feature-based…

机器学习 · 计算机科学 2024-12-02 Mohammad Zubair Khan , David Li

Functional data present unique challenges for clustering due to their infinite-dimensional nature and potential sensitivity to outliers. An extension of the OCLUST algorithm to the functional setting is proposed to address these issues. The…

机器学习 · 统计学 2025-08-06 Katharine M. Clark , Paul D. McNicholas

Online system identification algorithms are widely used for monitoring, diagnostics and control by continuously adapting to time-varying dynamics. Typically, these algorithms consider a model structure that lacks parsimony and offers…

系统与控制 · 电气工程与系统科学 2025-04-28 Koen Classens , Rodrigo A. González , Tom Oomen

In this paper, we present a new, optimization-based method to exhibit cyclic behavior in non-reversible stochastic processes. While our method is general, it is strongly motivated by discrete simulations of ordinary differential equations…

数据结构与算法 · 计算机科学 2016-09-12 Isabel Beckenbach , Leon Eifler , Konstantin Fackeldey , Ambros Gleixner , Andreas Grever , Marcus Weber , Jakob Witzig

We study the structure of loops in networks using the notion of modulus of loop families. We introduce a new measure of network clustering by quantifying the richness of families of (simple) loops. Modulus tries to minimize the expected…

社会与信息网络 · 计算机科学 2017-01-25 Heman Shakeri , Pietro Poggi-Corradini , Nathan Albin , Caterina Scoglio