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We propose a clustering-based generalized low rank approximation method, which takes advantage of appealing features from both the generalized low rank approximation of matrices (GLRAM) and cluster analysis. It exploits a more general form…

Optimization and Control · Mathematics 2025-02-21 Yujun Zhu , Jie Zhu , Hizba Arshad , Zhongming Wang , Ju Ming

Increased deployment of residential smart meters has made it possible to record energy consumption data on short intervals. These data, if used efficiently, carry valuable information for managing power demand and increasing energy…

Other Computer Science · Computer Science 2019-03-05 Nameer Al Khafaf , Mahdi Jalili , Peter Sokolowski

In this chapter we review some examples, methods, and recent results involving comparison of clustering properties of point processes. Our approach is founded on some basic observations allowing us to consider void probabilities and moment…

Probability · Mathematics 2014-05-23 Bartłomiej Błaszczyszyn , D. Yogeshwaran

We describe Ccluster, a software for computing natural $\epsilon$-clusters of complex roots in a given box of the complex plane. This algorithm from Becker et al.~(2016) is near-optimal when applied to the benchmark problem of isolating all…

Mathematical Software · Computer Science 2018-08-03 Rémi Imbach , Victor Y. Pan , Chee Yap

We study here the semi-supervised $k$-clustering problem where information is available on whether pairs of objects are in the same or in different clusters. This information is either available with certainty or with a limited level of…

Machine Learning · Computer Science 2024-10-21 Philipp Baumann , Dorit S. Hochbaum

Recently, several clustering algorithms have been used to solve variety of problems from different discipline. This dissertation aims to address different challenging tasks in computer vision and pattern recognition by casting the problems…

Computer Vision and Pattern Recognition · Computer Science 2018-02-08 Yonatan Tariku Tesfaye

The clustering problem has many applications in Machine Learning, Operations Research, and Statistics. We propose three algorithms to create starting solutions for improvement algorithms for this problem. We test the algorithms on 72…

Machine Learning · Computer Science 2020-04-10 Pawel Kalczynski , Jack Brimberg , Zvi Drezner

Classification and clustering algorithms have been proved to be successful individually in different contexts. Both of them have their own advantages and limitations. For instance, although classification algorithms are more powerful than…

Machine Learning · Computer Science 2017-08-30 Tanmoy Chakraborty

Co-clustering is a specific type of clustering that addresses the problem of finding groups of objects without necessarily considering all attributes. This technique has shown to have more consistent results in high-dimensional sparse data…

Machine Learning · Computer Science 2021-10-28 Yuri Santos , Jônata Tyska , Vania Bogorny

Clustering is a powerful machine learning technique that groups "similar" data points based on their characteristics. Many clustering algorithms work by approximating the minimization of an objective function, namely the sum of…

Quantum Physics · Physics 2018-01-29 Vaibhaw Kumar , Gideon Bass , Casey Tomlin , Joseph Dulny

Text Clustering is a text mining technique which divides the given set of text documents into significant clusters. It is used for organizing a huge number of text documents into a well-organized form. In the majority of the clustering…

Information Retrieval · Computer Science 2015-03-12 G. Hannah Grace , Kalyani Desikan

We propose a new approach for clustering DNA features using array CGH data from multiple tumor samples. We distinguish data-collapsing: joining contiguous DNA clones or probes with extremely similar data into regions, from clustering:…

Applications · Statistics 2010-12-21 Kyung In Kim , Etienne Roquain , Mark Van De Wiel

A first step in exploring population structure in crop plants and other organisms is to define the number of subpopulations that exist for a given data set. The genetic marker data sets being generated have become increasingly large over…

Applications · Statistics 2014-01-09 Mark A. Newell , Dianne Cook , Heike Hofmann , Jean-Luc Jannink

The paper describes clustering problems from the combinatorial viewpoint. A brief systemic survey is presented including the following: (i) basic clustering problems (e.g., classification, clustering, sorting, clustering with an order over…

Artificial Intelligence · Computer Science 2015-06-01 Mark Sh. Levin

The Consensus Clustering problem has been introduced as an effective way to analyze the results of different microarray experiments. The problem consists of looking for a partition that best summarizes a set of input partitions (each…

Data Structures and Algorithms · Computer Science 2009-07-13 Paola Bonizzoni , Gianluca Della Vedova , Riccardo Dondi

The k-means algorithm is a partitional clustering method. Over 60 years old, it has been successfully used for a variety of problems. The popularity of k-means is in large part a consequence of its simplicity and efficiency. In this paper…

Computer Vision and Pattern Recognition · Computer Science 2013-06-11 Ognjen Arandjelovic

Scaling clustering algorithms to massive data sets is a challenging task. Recently, several successful approaches based on data summarization methods, such as coresets and sketches, were proposed. While these techniques provide provably…

Machine Learning · Statistics 2018-02-21 Olivier Bachem , Mario Lucic , Silvio Lattanzi

Patchwork learning arises as a new and challenging data collection paradigm where both samples and features are observed in fragmented subsets. Due to technological limits, measurement expense, or multimodal data integration, such patchwork…

Methodology · Statistics 2024-06-21 Lili Zheng , Andersen Chang , Genevera I. Allen

We present a new model-based integrative method for clustering objects given both vectorial data, which describes the feature of each object, and network data, which indicates the similarity of connected objects. The proposed general model…

Machine Learning · Statistics 2017-10-25 Yunchuan Kong , Xiaodan Fan

In the context of clustering, we assume a generative model where each cluster is the result of sampling points in the neighborhood of an embedded smooth surface; the sample may be contaminated with outliers, which are modeled as points…

Machine Learning · Statistics 2011-11-30 Ery Arias-Castro , Guangliang Chen , Gilad Lerman