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Diffusions and related random walk procedures are of central importance in many areas of machine learning, data analysis, and applied mathematics. Because they spread mass agnostically at each step in an iterative manner, they can sometimes…

Data Structures and Algorithms · Computer Science 2018-06-12 Di Wang , Kimon Fountoulakis , Monika Henzinger , Michael W. Mahoney , Satish Rao

In a real-world data set there is always the possibility, rather high in our opinion, that different features may have different degrees of relevance. Most machine learning algorithms deal with this fact by either selecting or deselecting…

Machine Learning · Computer Science 2016-01-15 Renato Cordeiro de Amorim

In this paper, a novel method to perform model-based clustering of time series is proposed. The procedure relies on two iterative steps: (i) K global forecasting models are fitted via pooling by considering the series pertaining to each…

Machine Learning · Statistics 2023-05-02 Ángel López Oriona , Pablo Montero Manso , José Antonio Vilar Fernández

Hierarchical clustering is a widely used approach for clustering datasets at multiple levels of granularity. Despite its popularity, existing algorithms such as hierarchical agglomerative clustering (HAC) are limited to the offline setting,…

Machine Learning · Computer Science 2019-09-24 Aditya Krishna Menon , Anand Rajagopalan , Baris Sumengen , Gui Citovsky , Qin Cao , Sanjiv Kumar

Clustering techniques are very attractive for extracting and identifying patterns in datasets. However, their application to very large spatial datasets presents numerous challenges such as high-dimensionality data, heterogeneity, and high…

Databases · Computer Science 2018-02-27 Malika Bendechache , Nhien-An Le-Khac , M-Tahar Kechadi

Finding a set of nested partitions of a dataset is useful to uncover relevant structure at different scales, and is often dealt with a data-dependent methodology. In this paper, we introduce a general two-step methodology for model-based…

Computation · Statistics 2021-04-22 Etienne Côme , Nicolas Jouvin , Pierre Latouche , Charles Bouveyron

This work considers clustering nodes of a largely incomplete graph. Under the problem setting, only a small amount of queries about the edges can be made, but the entire graph is not observable. This problem finds applications in…

Machine Learning · Computer Science 2021-10-04 Shahana Ibrahim , Xiao Fu

Clustering is a widely-used data mining tool, which aims to discover partitions of similar items in data. We introduce a new clustering paradigm, \emph{accordant clustering}, which enables the discovery of (predefined) group level insights.…

Machine Learning · Computer Science 2017-04-11 Amit Dhurandhar , Margareta Ackerman , Xiang Wang

Hierarchical clustering studies a recursive partition of a data set into clusters of successively smaller size, and is a fundamental problem in data analysis. In this work we study the cost function for hierarchical clustering introduced by…

Data Structures and Algorithms · Computer Science 2021-12-17 Bogdan-Adrian Manghiuc , He Sun

Clustering on the unit hypersphere is a fundamental problem in various fields, with applications ranging from gene expression analysis to text and image classification. Traditional clustering methods are not always suitable for unit sphere…

Machine Learning · Computer Science 2026-03-06 Zinaid Kapić , Aladin Crnkić , Goran Mauša

The most widely used internal measure for clustering evaluation is the silhouette coefficient, whose naive computation requires a quadratic number of distance calculations, which is clearly unfeasible for massive datasets. Surprisingly,…

Data Structures and Algorithms · Computer Science 2021-01-21 Federico Altieri , Andrea Pietracaprina , Geppino Pucci , Fabio Vandin

There is no, nor will there ever be, single best clustering algorithm. Nevertheless, we would still like to be able to distinguish between methods that work well on certain task types and those that systematically underperform. Clustering…

Machine Learning · Computer Science 2025-10-16 Marek Gagolewski

Recent efforts have been made on acoustic scene classification in the audio signal processing community. In contrast, few studies have been conducted on acoustic scene clustering, which is a newly emerging problem. Acoustic scene clustering…

Audio and Speech Processing · Electrical Eng. & Systems 2023-06-12 Yanxiong Li , Mingle Liu , Wucheng Wang , Yuhan Zhang , Qianhua He

Clustering is one of the main tasks in exploratory data analysis and descriptive statistics where the main objective is partitioning observations in groups. Clustering has a broad range of application in varied domains like climate,…

Databases · Computer Science 2012-03-20 Saptarsi Goswami , Amlan Chakrabarti

Clustering analysis of functional data, which comprises observations that evolve continuously over time or space, has gained increasing attention across various scientific disciplines. Practical applications often involve functional data…

Methodology · Statistics 2024-06-19 Tingyu Zhu , Lan Xue , Carmen Tekwe , Keith Diaz , Mark Benden , Roger Zoh

Most of the research on clustering ensemble focuses on designing practical consistency learning algorithms.To solve the problems that the quality of base clusters varies and the low-quality base clusters have an impact on the performance of…

Machine Learning · Computer Science 2024-11-04 Jianwen Gan , Yan Chen , Peng Zhou , Liang Du

Improving the future of healthcare starts by better understanding the current actual practices in hospital settings. This motivates the objective of discovering typical care pathways from patient data. Revealing typical care pathways can be…

Machine Learning · Computer Science 2024-12-20 Thomas Guyet , Pierre Pinson , Enoal Gesny

Malware attacks have become significantly more frequent and sophisticated in recent years. Therefore, malware detection and classification are critical components of information security. Due to the large amount of malware samples…

Cryptography and Security · Computer Science 2024-05-07 Olha Jurečková , Martin Jureček , Mark Stamp

Graphs are used to model interactions in a variety of contexts, and there is a growing need to quickly assess the structure of such graphs. Some of the most useful graph metrics are based on triangles, such as those measuring social…

Social and Information Networks · Computer Science 2014-10-21 C. Seshadhri , Ali Pinar , Tamara G. Kolda

The $k$-means algorithm is one of the most widely used clustering heuristics. Despite its simplicity, analyzing its running time and quality of approximation is surprisingly difficult and can lead to deep insights that can be used to…

Data Structures and Algorithms · Computer Science 2016-02-29 Johannes Blömer , Christiane Lammersen , Melanie Schmidt , Christian Sohler