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This paper presents a novel method for clustering surfaces. The proposal involves first using basis functions in a tensor product to smooth the data and thus reduce the dimension to a finite number of coefficients, and then using these…

Methodology · Statistics 2021-02-04 Adriano Zanin Zambom , Qing Wang , Ronaldo Dias

Multi-component polymer systems are of interest in organic photovoltaic and drug delivery applications, among others where diverse morphologies influence performance. An improved understanding of morphology classification, driven by…

Computational Engineering, Finance, and Science · Computer Science 2020-08-27 Pavan Inguva , Lachlan Mason , Indranil Pan , Miselle Hengardi , Omar K. Matar

Classical approaches in cluster analysis are typically based on a feature space analysis. However, many applications lead to datasets with additional spatial information and a ground truth with spatially coherent classes, which will not…

Numerical Analysis · Mathematics 2021-04-27 Pascal Fernsel

Scatterplots are among the most widely used visualization techniques. Compelling scatterplot visualizations improve understanding of data by leveraging visual perception to boost awareness when performing specific visual analytic tasks.…

Human-Computer Interaction · Computer Science 2022-07-08 Ghulam Jilani Quadri , Jennifer Adorno Nieves , Brenton M. Wiernik , Paul Rosen

Despite tremendous advancements in Artificial Intelligence, learning from large sets of data in an unsupervised manner remains a significant challenge. Classical clustering algorithms often fail to discover complex dependencies in large…

Machine Learning · Computer Science 2023-07-18 Adam Piróg , Halina Kwaśnicka

We consider the problem of simultaneously clustering and learning a linear representation of data lying close to a union of low-dimensional manifolds, a fundamental task in machine learning and computer vision. When the manifolds are…

Machine Learning · Computer Science 2023-08-25 Tianjiao Ding , Shengbang Tong , Kwan Ho Ryan Chan , Xili Dai , Yi Ma , Benjamin D. Haeffele

We propose a Fourier-based approach for optimization of several clustering algorithms. Mathematically, clusters data can be described by a density function represented by the Dirac mixture distribution. The density function can be smoothed…

Machine Learning · Computer Science 2019-09-24 Soheil Mehrabkhani

Notwithstanding the popularity of conventional clustering algorithms such as K-means and probabilistic clustering, their clustering results are sensitive to the presence of outliers in the data. Even a few outliers can compromise the…

Machine Learning · Statistics 2015-05-27 Pedro A. Forero , Vassilis Kekatos , Georgios B. Giannakis

Spectral clustering is a popular clustering method. It first maps data into the spectral embedding space and then uses Kmeans to find clusters. However, the two decoupled steps prohibit joint optimization for the optimal solution. In…

Machine Learning · Computer Science 2024-12-17 Wengang Guo , Wei Ye

Software module clustering is an unsupervised learning method used to cluster software entities (e.g., classes, modules, or files) with similar features. The obtained clusters may be used to study, analyze, and understand the software…

Software Engineering · Computer Science 2020-12-03 Qusay I. Sarhan , Bestoun S. Ahmed , Miroslav Bures , Kamal Z. Zamli

Clustering is a popular form of unsupervised learning for geometric data. Unfortunately, many clustering algorithms lead to cluster assignments that are hard to explain, partially because they depend on all the features of the data in a…

Machine Learning · Computer Science 2020-09-23 Sanjoy Dasgupta , Nave Frost , Michal Moshkovitz , Cyrus Rashtchian

Clustering is an important data mining technique where we will be interested in maximizing intracluster distance and also minimizing intercluster distance. We have utilized clustering techniques for detecting deviation in product sales and…

Databases · Computer Science 2013-12-11 S. Hanumanth Sastry , Prof. M. S. Prasada Babu

Solvation is a notoriously difficult and nagging problem for the rigorous theoretical description of chemistry in the liquid phase. Successes and failures of various approaches ranging from implicit solvation modeling through dielectric…

Chemical Physics · Physics 2020-04-01 Gregor N. Simm , Paul L. Türtscher , Markus Reiher

This survey reviews a clustering method based on solving a convex optimization problem. Despite the plethora of existing clustering methods, convex clustering has several uncommon features that distinguish it from prior art. The…

Methodology · Statistics 2025-09-19 Eric C. Chi , Aaron J. Molstad , Zheming Gao , Jocelyn T. Chi

Clustering problems have numerous applications and are becoming more challenging as the size of the data increases. In this paper, we consider designing clustering algorithms that can be used in MapReduce, the most popular programming…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-09-09 Alina Ene , Sungjin Im , Benjamin Moseley

Clustering has been a major research topic in the field of machine learning, one to which Deep Learning has recently been applied with significant success. However, an aspect of clustering that is not addressed by existing deep clustering…

Computer Vision and Pattern Recognition · Computer Science 2023-04-04 Ioannis Maniadis Metaxas , Georgios Tzimiropoulos , Ioannis Patras

Clustering has been widely applied to Information Retrieval (IR) on the grounds of its potential improved effectiveness over inverted file search. Clustering is a mostly unsupervised procedure and the majority of the clustering algorithms…

Information Retrieval · Computer Science 2014-01-14 Pokkuluri Kiran Sree , Inampudi Ramesh Babu

Clustering is a widely deployed unsupervised learning tool. Model-based clustering is a flexible framework to tackle data heterogeneity when the clusters have different shapes. Likelihood-based inference for mixture distributions often…

Machine Learning · Statistics 2023-05-30 Yubo Zhuang , Xiaohui Chen , Yun Yang

We propose a modification of linear discriminant analysis, referred to as compressive regularized discriminant analysis (CRDA), for analysis of high-dimensional datasets. CRDA is specially designed for feature elimination purpose and can be…

Methodology · Statistics 2018-04-12 Muhammad Naveed Tabassum , Esa Ollila

A novel formulation of the clustering problem is introduced in which the task is expressed as an estimation problem, where the object to be estimated is a function which maps a point to its distribution of cluster membership. Unlike…

Machine Learning · Computer Science 2025-10-14 David P. Hofmeyr