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We establish a connection between tangles, a concept from structural graph theory that plays a central role in Robertson and Seymour's graph minor project, and hierarchical clustering. Tangles cannot only be defined for graphs, but in fact…

Discrete Mathematics · Computer Science 2022-03-17 Eva Fluck

Hierarchical Agglomerative Clustering (HAC) is likely the earliest and most flexible clustering method, because it can be used with many distances, similarities, and various linkage strategies. It is often used when the number of clusters…

Machine Learning · Statistics 2023-09-07 Erich Schubert , Andreas Lang

Correlation clustering is a technique for aggregating data based on qualitative information about which pairs of objects are labeled 'similar' or 'dissimilar.' Because the optimization problem is NP-hard, much of the previous literature…

Machine Learning · Computer Science 2017-03-20 Nate Veldt , Anthony Wirth , David F. Gleich

Forecast reconciliation has attracted significant research interest in recent years, with most studies taking the hierarchy of time series as given. We extend existing work that uses time series clustering to construct hierarchies, with the…

Methodology · Statistics 2024-09-10 Bohan Zhang , Anastasios Panagiotelis , Han Li

One of the most widely used techniques for data clustering is agglomerative clustering. Such algorithms have been long used across many different fields ranging from computational biology to social sciences to computer vision in part…

Machine Learning · Computer Science 2014-07-15 Maria-Florina Balcan , Yingyu Liang , Pramod Gupta

Time series, as one of the most fundamental representations of sequential data, has been extensively studied across diverse disciplines, including computer science, biology, geology, astronomy, and environmental sciences. The advent of…

Machine Learning · Computer Science 2024-12-31 John Paparrizos , Fan Yang , Haojun Li

We address the problem of large scale real-time classification of content posted on social networks, along with the need to rapidly identify novel spam types. Obtaining manual labels for user-generated content using editorial labeling and…

Data Structures and Algorithms · Computer Science 2020-08-26 Ishita Doshi , Sreekalyan Sajjalla , Jayesh Choudhari , Rushi Bhatt , Anirban Dasgupta

There are many clustering methods, such as hierarchical clustering method. Most of the approaches to the clustering of variables encountered in the literature are of hierarchical type. The great majority of hierarchical approaches to the…

Databases · Computer Science 2011-01-25 Rahmat Widia Sembiring , Jasni Mohamad Zain , Abdullah Embong

Clustering can be used to extract insights from data or to verify some of the assumptions held by the domain experts, namely data segmentation. In the literature, few methods can be applied in clustering qualitative values using the context…

Machine Learning · Computer Science 2020-07-07 Diogo Seca , João Mendes-Moreira , Tiago Mendes-Neves , Ricardo Sousa

We propose a novel approach to the problem of clustering hierarchically aggregated time-series data, which has remained an understudied problem though it has several commercial applications. We first group time series at each aggregated…

Machine Learning · Computer Science 2022-05-30 Xing Han , Tongzheng Ren , Jing Hu , Joydeep Ghosh , Nhat Ho

Categorical attributes with qualitative values are ubiquitous in cluster analysis of real datasets. Unlike the Euclidean distance of numerical attributes, the categorical attributes lack well-defined relationships of their possible values…

Machine Learning · Computer Science 2025-11-13 Mingjie Zhao , Zhanpei Huang , Yang Lu , Mengke Li , Yiqun Zhang , Weifeng Su , Yiu-ming Cheung

Recently, Hierarchical Clustering (HC) has been considered through the lens of optimization. In particular, two maximization objectives have been defined. Moseley and Wang defined the \emph{Revenue} objective to handle similarity…

Data Structures and Algorithms · Computer Science 2021-01-27 Danny Vainstein , Vaggos Chatziafratis , Gui Citovsky , Anand Rajagopalan , Mohammad Mahdian , Yossi Azar

This paper presents a deep relational metric learning (DRML) framework for image clustering and retrieval. Most existing deep metric learning methods learn an embedding space with a general objective of increasing interclass distances and…

Computer Vision and Pattern Recognition · Computer Science 2021-08-24 Wenzhao Zheng , Borui Zhang , Jiwen Lu , Jie Zhou

Hierarchies of concepts are useful in many applications from navigation to organization of objects. Usually, a hierarchy is created in a centralized manner by employing a group of domain experts, a time-consuming and expensive process. The…

Artificial Intelligence · Computer Science 2015-08-04 Yuyin Sun , Adish Singla , Dieter Fox , Andreas Krause

Unsupervised learning of time series data, also known as temporal clustering, is a challenging problem in machine learning. Here we propose a novel algorithm, Deep Temporal Clustering (DTC), to naturally integrate dimensionality reduction…

Machine Learning · Computer Science 2018-02-06 Naveen Sai Madiraju , Seid M. Sadat , Dimitry Fisher , Homa Karimabadi

While the majority of approaches to the characterization of complex networks has relied on measurements considering only the immediate neighborhood of each network node, valuable information about the network topological properties can be…

Statistical Mechanics · Physics 2015-06-24 Luciano da Fontoura Costa , Filipi Nascimento Silva

The humanities, like many other areas of society, are currently undergoing major changes in the wake of digital transformation. However, in order to make collection of digitised material in this area easily accessible, we often still lack…

Information Retrieval · Computer Science 2021-03-23 Vuong M. Ngo , Sven Helmer , Nhien-An Le-Khac , M-Tahar Kechadi

We present a novel deep-learning-based method to cluster words in documents which we apply to detect and recognize tables given the OCR output. We interpret table structure bottom-up as a graph of relations between pairs of words (belonging…

Machine Learning · Computer Science 2024-05-24 Marek Polewczyk , Marco Spinaci

A clustering algorithm partitions a set of data points into smaller sets (clusters) such that each subset is more tightly packed than the whole. Many approaches to clustering translate the vector data into a graph with edges reflecting a…

Geometric Topology · Mathematics 2012-06-06 Jesse Johnson

Clustering is a fundamental unsupervised learning approach. Many clustering algorithms -- such as $k$-means -- rely on the euclidean distance as a similarity measure, which is often not the most relevant metric for high dimensional data…

Machine Learning · Computer Science 2019-10-22 Aude Genevay , Gabriel Dulac-Arnold , Jean-Philippe Vert
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