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Fast and cheaper next generation sequencing technologies will generate unprecedentedly massive and highly-dimensional genomic and epigenomic variation data. In the near future, a routine part of medical record will include the sequenced…

Genomics · Quantitative Biology 2013-01-17 Momiao Xiong , Long Ma

We propose k^2-means, a new clustering method which efficiently copes with large numbers of clusters and achieves low energy solutions. k^2-means builds upon the standard k-means (Lloyd's algorithm) and combines a new strategy to accelerate…

Machine Learning · Computer Science 2016-05-31 Eirikur Agustsson , Radu Timofte , Luc Van Gool

Motivation: Cancer is heterogeneous, affecting the precise approach to personalized treatment. Accurate subtyping can lead to better survival rates for cancer patients. High-throughput technologies provide multiple omics data for cancer…

Machine Learning · Computer Science 2022-08-01 Hai Yang , Yuhang Sheng , Yi Jiang , Xiaoyang Fang , Dongdong Li , Jing Zhang , Zhe Wang

Background: High-throughput proteomics techniques, such as mass spectrometry (MS)-based approaches, produce very high-dimensional data-sets. In a clinical setting one is often interested in how mass spectra differ between patients of…

Cancer subtyping plays a crucial role in informing prognosis and guiding personalized treatment strategies. However, conventional subtyping approaches often rely on static, biopsy-derived scores that hardly capture the biological…

Methodology · Statistics 2026-03-12 Lara Cavinato , Marco Rocchi , Luca Viganò , Francesca Ieva

The integration of multi-omics data has emerged as a promising approach for gaining comprehensive insights into complex diseases such as cancer. This paper proposes a novel approach to identify cancer subtypes through the integration of…

Machine Learning · Computer Science 2023-12-06 Mark Peelen , Leila Bagheriye , Johan Kwisthout

In machine learning and data mining, Cluster analysis is one of the most widely used unsupervised learning technique. Philosophy of this algorithm is to find similar data items and group them together based on any distance function in…

Machine Learning · Statistics 2018-10-09 Kumarjit Pathak , Jitin Kapila

The classical k-means clustering, based on distances computed from all data features, cannot be directly applied to incomplete data with missing values. A natural extension of k-means to missing data, namely k-POD, uses only the observed…

Methodology · Statistics 2025-07-17 Xin Guan , Yoshikazu Terada

We propose a robust clustering framework for high-dimensional data with heavy tails and a large fraction of irrelevant variables. The method replaces the mean updates of Lloyd's $K$-means with \emph{spatial medians} to enhance robustness.…

Methodology · Statistics 2026-05-04 Ping Zhao , Dan Zhuang , Long Feng

K-means is one of the most widely used clustering algorithms in various disciplines, especially for large datasets. However the method is known to be highly sensitive to initial seed selection of cluster centers. K-means++ has been proposed…

Machine Learning · Computer Science 2016-04-19 Fouad Khan

We consider a network of binary-valued sensors with a fusion center. The fusion center has to perform K-means clustering on the binary data transmitted by the sensors. In order to reduce the amount of data transmitted within the network,…

Information Theory · Computer Science 2018-01-18 Elsa Dupraz

Cancer prognosis is often based on a set of omics covariates and a set of established clinical covariates such as age and tumor stage. Combining these two sets poses challenges. First, dimension difference: clinical covariates should be…

Based on technological advances in sensing modalities, randomized trials with primary outcomes represented as high-dimensional vectors have become increasingly prevalent. For example, these outcomes could be week-long time-series data from…

Methodology · Statistics 2024-10-16 Yujin Jeong , Emily Fox , Ramesh Johari

Single-molecule spectroscopy (SMS) is an exceptionally sensitive technique, but its inherently limited photon budget produces noisy data that can readily lead to subjective analyses, fitting errors, and reduced statistical power, obscuring…

Biological Physics · Physics 2026-03-19 Michael Lovemore , Joshua Botha , Bertus van Heerden , Tjaart Kruger

Methods for global measurement of transcript abundance such as microarrays and RNA-Seq generate datasets in which the number of measured features far exceeds the number of observations. Extracting biologically meaningful and experimentally…

Methodology · Statistics 2022-06-22 Lei Ding , Gabriel E. Zentner , Daniel J. McDonald

This paper presents a new fuzzy k-means algorithm for the clustering of high-dimensional data in various subspaces. Since high-dimensional data, some features might be irrelevant and relevant but may have different significance in the…

Machine Learning · Computer Science 2025-02-14 Vikas Singh , Nishchal K. Verma

Score-based diffusion models have shown significant promise in the field of sparse-view CT reconstruction. However, the projection dataset is large and riddled with redundancy. Consequently, applying the diffusion model to unprocessed data…

Image and Video Processing · Electrical Eng. & Systems 2025-05-16 Pengfei Yu , Bin Huang , Minghui Zhang , Weiwen Wu , Shaoyu Wang , Qiegen Liu

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

Precision medicine is a clinical approach for disease prevention, detection and treatment, which considers each individual's genetic background, environment and lifestyle. The development of this tailored avenue has been driven by the…

Quantitative Methods · Quantitative Biology 2022-07-26 Uria Mor , Yotam Cohen , Rafael Valdes-Mas , Denise Kviatcovsky , Eran Elinav , Haim Avron

Omics fusion has emerged as a crucial preprocessing approach in the field of medical image processing, providing significant assistance to several studies. One of the challenges encountered in the integration of omics data is the presence…

Quantitative Methods · Quantitative Biology 2025-02-17 Jiabao Sheng , SaiKit Lam , Jiang Zhang , Yuanpeng Zhang , Jing Cai