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This thesis develops computational methods in similarity-preserving hashing, classification, and cancer genomics. Standard space partitioning-based hashing relies on Binary Search Trees (BSTs), but their exponential growth and sparsity…

Machine Learning · Computer Science 2025-08-26 Prashant Gupta

Biclustering is the task of simultaneously clustering the rows and columns of the data matrix into different subgroups such that the rows and columns within a subgroup exhibit similar patterns. In this paper, we consider the case of…

Machine Learning · Computer Science 2022-01-31 Nicolas Fraiman , Zichao Li

We present a new approach for the analysis of genome-wide expression data. Our method is designed to overcome the limitations of traditional techniques, when applied to large-scale data. Rather than alloting each gene to a single cluster,…

Biological Physics · Physics 2009-11-07 Sven Bergmann , Jan Ihmels , Naama Barkai

Subspace clustering assumes that the data is sepa-rable into separate subspaces. Such a simple as-sumption, does not always hold. We assume that, even if the raw data is not separable into subspac-es, one can learn a representation…

Machine Learning · Computer Science 2019-12-11 Jyoti Maggu , Angshul Majumdar , Emilie Chouzenoux

Deep clustering as an important branch of unsupervised representation learning focuses on embedding semantically similar samples into the identical feature space. This core demand inspires the exploration of contrastive learning and…

Computer Vision and Pattern Recognition · Computer Science 2024-04-16 Haifeng Xia , Hai Huang , Zhengming Ding

Genetic Algorithms (GAs) are explored as a tool for probing new physics with high dimensionality. We study the 19-dimensional pMSSM, including experimental constraints from all sources and assessing the consistency of potential signals of…

High Energy Physics - Phenomenology · Physics 2018-05-14 Steven Abel , David G. Cerdeno , Sandra Robles

Data clustering is a recognized data analysis method in data mining whereas K-Means is the well known partitional clustering method, possessing pleasant features. We observed that, K-Means and other partitional clustering techniques suffer…

Neural and Evolutionary Computing · Computer Science 2014-02-27 Jayshree Ghorpade-Aher , Vishakha A. Metre

State-of-the-art clustering algorithms use heuristics to partition the feature space and provide little insight into the rationale for cluster membership, limiting their interpretability. In healthcare applications, the latter poses a…

Machine Learning · Statistics 2018-12-04 Dimitris Bertsimas , Agni Orfanoudaki , Holly Wiberg

Subspace clustering is a classical unsupervised learning task, built on a basic assumption that high-dimensional data can be approximated by a union of subspaces (UoS). Nevertheless, the real-world data are often deviating from the UoS…

Computer Vision and Pattern Recognition · Computer Science 2025-03-24 Xianghan Meng , Zhiyuan Huang , Wei He , Xianbiao Qi , Rong Xiao , Chun-Guang Li

Gene expression profiles are essential in identifying different cancer phenotypes. Clustering gene expression datasets can provide accurate identification of cancerous cell lines, but this task is challenging due to the small sample size…

Biological Physics · Physics 2023-05-30 Yuchen Wu , Luke Dicks , David J. Wales

Clustering is an important technique for identifying structural information in large-scale data analysis, where the underlying dataset may be too large to store. In many applications, recent data can provide more accurate information and…

Data Structures and Algorithms · Computer Science 2023-11-02 David P. Woodruff , Peilin Zhong , Samson Zhou

Kiwi is a minimalist and extendable Constraint Programming (CP) solver specifically designed for education. The particularities of Kiwi stand in its generic trailing state restoration mechanism and its modulable use of variables. By…

Artificial Intelligence · Computer Science 2017-05-03 Renaud Hartert

Clustering is a central tool in biomedical research for discovering heterogeneous patient subpopulations, where group boundaries are often diffuse rather than sharply separated. Traditional methods produce hard partitions, whereas soft…

Methodology · Statistics 2026-01-07 Qiuyi Wu , Zihan Zhu , Anru R. Zhang

Microarray technology is a process that allows thousands of genes simultaneously monitor to various experimental conditions. It is used to identify the co-expressed genes in specific cells or tissues that are actively used to make proteins,…

Computational Engineering, Finance, and Science · Computer Science 2013-07-16 T. Chandrasekhar , K. Thangavel , E. Elayaraja

Cancer is a number of related yet highly heterogeneous diseases. Correct identification of cancer subtypes is critical for clinical decisions. The advance in sequencing technologies has made it possible to study cancer based on abundant…

Applications · Statistics 2018-11-27 Xiaochun Chen , Honggang Wang , Donghui Yan

We develop an iterative subsampling approach to improve the computational efficiency of our previous work on solution path clustering (SPC). The SPC method achieves clustering by concave regularization on the pairwise distances between…

Methodology · Statistics 2016-09-16 Yuliya Marchetti , Qing Zhou

Microarrays are made it possible to simultaneously monitor the expression profiles of thousands of genes under various experimental conditions. It is used to identify the co-expressed genes in specific cells or tissues that are actively…

Machine Learning · Computer Science 2012-03-15 T. Chandrasekhar , K. Thangavel , E. Elayaraja

Clustering is a fundamental tool in unsupervised learning, used to group objects by distinguishing between similar and dissimilar features of a given data set. One of the most common clustering algorithms is k-means. Unfortunately, when…

Machine Learning · Statistics 2021-08-17 Olga Dorabiala , J. Nathan Kutz , Aleksandr Aravkin

Clustering is a powerful and extensively used data science tool. While clustering is generally thought of as an unsupervised learning technique, there are also supervised variations such as Spath's clusterwise regression that attempt to…

Machine Learning · Computer Science 2023-05-09 Aravinth Chembu , Scott Sanner

Variance reduction techniques such as SPIDER/SARAH/STORM have been extensively studied to improve the convergence rates of stochastic non-convex optimization, which usually maintain and update a sequence of estimators for a single function…

Machine Learning · Computer Science 2023-01-02 Wei Jiang , Gang Li , Yibo Wang , Lijun Zhang , Tianbao Yang
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