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The clusters of a distribution are often defined by the connected components of a density level set. However, this definition depends on the user-specified level. We address this issue by proposing a simple, generic algorithm, which uses an…

Methodology · Statistics 2015-10-29 Ingo Steinwart

Genetic data are frequently categorical and have complex dependence structures that are not always well understood. For this reason, clustering and classification based on genetic data, while highly relevant, are challenging statistical…

Methodology · Statistics 2016-06-13 Gabriela Bettella Cybis , Marcio Valk , Silvia Regina Costa Lopes

Finding a good clustering of vertices in a network, where vertices in the same cluster are more tightly connected than those in different clusters, is a useful, important, and well-studied task. Many clustering algorithms scale well,…

Social and Information Networks · Computer Science 2011-10-18 Thomas DuBois , Jennifer Golbeck , Aravind Srinivasan

In today's world, healthcare is the most important factor affecting human life. Due to heavy work load it is not possible for personal healthcare. The proposed system acts as a preventive measure for determining whether a person is fit or…

This paper presents a new clustering algorithm for space-time data based on the concepts of topological data analysis and in particular, persistent homology. Employing persistent homology - a flexible mathematical tool from algebraic…

Machine Learning · Statistics 2019-10-28 Umar Islambekov , Yulia Gel

We design an efficient algorithm that outputs tests for identifying predominantly homogeneous subcohorts of patients from large in-homogeneous datasets. Our theoretical contribution is a rounding technique, similar to that of Goemans and…

Quantitative Methods · Quantitative Biology 2025-11-25 Pratik Worah

Motivation: Advances in high-throughput chromatin conformation capture have provided insight into the three-dimensional structure and organization of chromatin. While bulk Hi-C experiments capture spatio-temporally averaged chromatin…

Genomics · Quantitative Biology 2026-05-28 Luka Maisuradze , Corey S. O'Hern , Mark D. Shattuck

Genome assembly is a prominent problem studied in bioinformatics, which computes the source string using a set of its overlapping substrings. Classically, genome assembly uses assembly graphs built using this set of substrings to compute…

Data Structures and Algorithms · Computer Science 2024-09-24 Saumya Talera , Parth Bansal , Shabnam Khan , Shahbaz Khan

Modern biological science produces vast amounts of genomic sequence data. This is fuelling the need for efficient algorithms for sequence compression and analysis. Data compression and the associated techniques coming from information…

Data Structures and Algorithms · Computer Science 2011-09-05 Heba Afify , Muhammad Islam , Manal Abdel Wahed

Cluster analysis methods seek to partition a data set into homogeneous subgroups. It is useful in a wide variety of applications, including document processing and modern genetics. Conventional clustering methods are unsupervised, meaning…

Methodology · Statistics 2014-07-11 Eric Bair

In this paper, we propose a simple algorithm to cluster nonnegative data lying in disjoint subspaces. We analyze its performance in relation to a certain measure of correlation between said subspaces. We use our clustering algorithm to…

Machine Learning · Statistics 2020-09-04 C. Strohmeier , D. Needell

Structural variants compose the majority of human genetic variation, but are difficult to assess using current genomic sequencing technologies. Optical mapping technologies, which measure the size of chromosomal fragments between labeled…

Quantitative Methods · Quantitative Biology 2019-10-10 Weiwei Li , Jan Hannig , Corbin Jones

In the realm of precision medicine, effective patient stratification and disease subtyping demand innovative methodologies tailored for multi-omics data. Clustering techniques applied to multi-omics data have become instrumental in…

Machine Learning · Computer Science 2024-01-30 Bastian Pfeifer , Christel Sirocchi , Marcus D. Bloice , Markus Kreuzthaler , Martin Urschler

Clustering a graph means identifying internally dense subgraphs which are only sparsely interconnected. Formalizations of this notion lead to measures that quantify the quality of a clustering and to algorithms that actually find…

Data Structures and Algorithms · Computer Science 2011-12-12 Robert Görke , Andrea Schumm , Dorothea Wagner

Biological systems often exhibit a heterogeneous arrangement of objects, such as assorted nuclear chromatin patterns in a tumor, assorted species of bacteria in biofilms, or assorted aggregates of subcellular particles. Principle Component…

Quantitative Methods · Quantitative Biology 2017-08-29 David H Nguyen

Data clustering is the process of identifying natural groupings or clusters within multidimensional data based on some similarity measure. Clustering is a fundamental process in many different disciplines. Hence, researchers from different…

Machine Learning · Computer Science 2014-08-26 Sibei Yang , Liangde Tao , Bingchen Gong

Clustering is an essential technique for discovering patterns in data. The steady increase in amount and complexity of data over the years led to improvements and development of new clustering algorithms. However, algorithms that can…

Machine Learning · Statistics 2021-03-03 Shu Wang , Jonathan G. Yabes , Chung-Chou H. Chang

Identifying high-dimensional data patterns without a priori knowledge is an important task of data science. This paper proposes a simple and efficient noparametric algorithm: Data Convert to Sequence Analysis, DCSA, which dynamically…

Machine Learning · Computer Science 2022-12-05 Shi Guobin

A new maximum approximate likelihood (ML) estimation algorithm for the mixture of Kent distribution is proposed. The new algorithm is constructed via the BSLM (block successive lower-bound maximization) framework and incorporates manifold…

Computation · Statistics 2017-09-15 Hien D. Nguyen

We extend the standard rough set-based approach to deal with huge amounts of numeric attributes versus small amount of available objects. Here, a novel approach of clustering along with dimensionality reduction; Hybrid Fuzzy C Means-Quick…

Computational Engineering, Finance, and Science · Computer Science 2013-06-11 E. N. Sathishkumar , K. Thangavel , T. Chandrasekhar