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Model selection is a major challenge in non-parametric clustering. There is no universally admitted way to evaluate clustering results for the obvious reason that no ground truth is available. The difficulty to find a universal evaluation…

机器学习 · 计算机科学 2023-05-18 Alex Mourer , Florent Forest , Mustapha Lebbah , Hanane Azzag , Jérôme Lacaille

To cluster data is to separate samples into distinctive groups that should ideally have some cohesive properties. Today, numerous clustering algorithms exist, and their differences lie essentially in what can be perceived as ``cohesive…

机器学习 · 统计学 2025-05-08 Louis Ohl , Pierre-Alexandre Mattei , Frédéric Precioso

Conventional cluster-robust inference can be invalid when data contain clusters of unignorably large size. We formalize this issue by deriving a necessary and sufficient condition for its validity, and show that this condition is frequently…

计量经济学 · 经济学 2025-10-07 Harold D. Chiang , Yuya Sasaki , Yulong Wang

Unsupervised learning is widely recognized as one of the most important challenges facing machine learning nowa- days. However, in spite of hundreds of papers on the topic being published every year, current theoretical understanding and…

机器学习 · 计算机科学 2018-05-24 Shai Ben-David

Clustering is an essential data mining tool that aims to discover inherent cluster structure in data. As such, the study of clusterability, which evaluates whether data possesses such structure, is an integral part of cluster analysis. Yet,…

机器学习 · 计算机科学 2016-02-24 Margareta Ackerman , Andreas Adolfsson , Naomi Brownstein

We introduce a novel validation framework to measure the true robustness of learning models for real-world applications by creating source-inclusive and source-exclusive partitions in a dataset via clustering. We develop a robustness metric…

机器学习 · 计算机科学 2017-04-04 Ozsel Kilinc , Ismail Uysal

Clustering provides a common means of identifying structure in complex data, and there is renewed interest in clustering as a tool for the analysis of large data sets in many fields. A natural question is how many clusters are appropriate…

数据分析、统计与概率 · 物理学 2007-05-23 Susanne Still , William Bialek

As in other estimation scenarios, likelihood based estimation in the normal mixture set-up is highly non-robust against model misspecification and presence of outliers (apart from being an ill-posed optimization problem). A robust…

统计方法学 · 统计学 2023-12-20 Soumya Chakraborty , Ayanendranath Basu , Abhik Ghosh

As a kind of basic machine learning method, clustering algorithms group data points into different categories based on their similarity or distribution. We present a clustering algorithm by finding hyper-planes to distinguish the data…

计算机视觉与模式识别 · 计算机科学 2020-04-28 Luhong Diao , Jinying Gao1 , Manman Deng

Clustering aims to group unlabeled objects based on similarity inherent among them into clusters. It is important for many tasks such as anomaly detection, database sharding, record linkage, and others. Some clustering methods are taken as…

数据库 · 计算机科学 2024-12-02 Binbin Gu , Saeed Kargar , Faisal Nawab

The problem of dimension reduction is of increasing importance in modern data analysis. In this paper, we consider modeling the collection of points in a high dimensional space as a union of low dimensional subspaces. In particular we…

机器学习 · 统计学 2020-06-12 Weiwei Li , Jan Hannig , Sayan Mukherjee

Mapping of spatial hotspots, i.e., regions with significantly higher rates of generating cases of certain events (e.g., disease or crime cases), is an important task in diverse societal domains, including public health, public safety,…

机器学习 · 统计学 2021-10-12 Yiqun Xie , Shashi Shekhar , Yan Li

We propose a simple and efficient clustering method for high-dimensional data with a large number of clusters. Our algorithm achieves high-performance by evaluating distances of datapoints with a subset of the cluster centres. Our…

机器学习 · 计算机科学 2022-03-30 Georgios Exarchakis , Omar Oubari , Gregor Lenz

Clustering is a widely used technique with a long and rich history in a variety of areas. However, most existing algorithms do not scale well to large datasets, or are missing theoretical guarantees of convergence. This paper introduces a…

机器学习 · 统计学 2024-10-16 Yijia Zhou , Kyle A. Gallivan , Adrian Barbu

Clustering is an unsupervised technique of Data Mining. It means grouping similar objects together and separating the dissimilar ones. Each object in the data set is assigned a class label in the clustering process using a distance measure.…

信息检索 · 计算机科学 2011-10-13 Parul Agarwal , M. Afshar Alam , Ranjit Biswas

Modern inference and learning often hinge on identifying low-dimensional structures that approximate large scale data. Subspace clustering achieves this through a union of linear subspaces. However, in contemporary applications data is…

机器学习 · 计算机科学 2018-08-03 Daniel L. Pimentel-Alarcón , Usman Mahmood

The task of clustering a set of objects based on multiple sources of data arises in several modern applications. We propose an integrative statistical model that permits a separate clustering of the objects for each data source. These…

机器学习 · 统计学 2015-12-01 Eric F. Lock , David B. Dunson

We review clustering as an analysis tool and the underlying concepts from an introductory perspective. What is clustering and how can clusterings be realised programmatically? How can data be represented and prepared for a clustering task?…

机器学习 · 计算机科学 2022-12-05 Jan-Oliver Felix Kapp-Joswig , Bettina G. Keller

Process discovery algorithms automatically extract process models from event logs, but high variability often results in complex and hard-to-understand models. To mitigate this issue, trace clustering techniques group process executions…

机器学习 · 计算机科学 2025-12-11 Jari Peeperkorn , Johannes De Smedt , Jochen De Weerdt

Clustering is a widely used technique in data mining applications for discovering patterns in underlying data. Most traditional clustering algorithms are limited to handling datasets that contain either numeric or categorical attributes.…

人工智能 · 计算机科学 2007-05-23 Zengyou He , Xiaofei Xu , Shengchun Deng