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Mutational signatures are patterns of somatic mutations in tumor genomes that provide insights into underlying mutagenic processes and cancer origin. Developing reliable methods for their estimation is of growing importance in cancer…

Applications · Statistics 2025-02-04 Blake Hansen , Isabella N. Grabski , Giovanni Parmigiani , Roberta De Vito

The spectrum of mutations in a collection of cancer genomes can be described by a mixture of a few mutational signatures. The mutational signatures can be found using non-negative matrix factorization (NMF). To extract the mutational…

Methodology · Statistics 2022-11-02 Marta Pelizzola , Ragnhild Laursen , Asger Hobolth

Somatic mutations, or alterations in DNA of a somatic cell, are key markers of cancer. In recent years, mutational signature analysis has become a prominent field of study within cancer research, commonly with Nonnegative Matrix…

Quantitative Methods · Quantitative Biology 2025-07-01 Iris Lang , Jenna Landy , Giovanni Parmigiani

Non-negative matrix factorization (NMF) is widely used in many applications for dimensionality reduction. Inferring an appropriate number of factors for NMF is a challenging problem, and several approaches based on information criteria or…

Methodology · Statistics 2025-02-18 Alessandro Zito , Jeffrey W. Miller

Somatic mutations in cancer can be viewed as a mixture distribution of several mutational signatures, which can be inferred using non-negative matrix factorization (NMF). Mutational signatures have previously been parametrized using either…

Applications · Statistics 2022-07-07 Ragnhild Laursen , Lasse Maretty , Asger Hobolth

We present a novel method for extracting cancer signatures by applying statistical risk models (http://ssrn.com/abstract=2732453) from quantitative finance to cancer genome data. Using 1389 whole genome sequenced samples from 14 cancers, we…

Genomics · Quantitative Biology 2017-01-24 Zura Kakushadze , Willie Yu

Bayesian Poisson Non-Negative Matrix Factorization (NMF) is widely used to model count data, including in cancer mutational signature analysis. However, standard Gibbs samplers rely on computationally expensive Poisson augmentation, and…

Methodology · Statistics 2026-03-31 Jenna M. Landy , Nishanth Basava , Giovanni Parmigiani

Poisson non-negative matrix factorization (NMF) is a widely used method to find interpretable "parts-based" decompositions of count data. While many variants of Poisson NMF exist, existing methods assume that the "parts" in the…

Machine Learning · Computer Science 2026-01-12 Eric Weine , Peter Carbonetto , Rafael A. Irizarry , Matthew Stephens

Non-negative matrix factorization (NMF) is a fundamental matrix decomposition technique that is used primarily for dimensionality reduction and is increasing in popularity in the biological domain. Although finding a unique NMF is generally…

Information Theory · Computer Science 2021-08-23 Rami Nasser , Yonina C. Eldar , Roded Sharan

Mutational signatures describe the pattern of mutations over the different mutation types. Each mutation type is determined by a base substitution and the flanking nucleotides to the left and right of that base substitution. Due to the…

Populations and Evolution · Quantitative Biology 2026-04-24 Ragnhild Laursen , Marta Pelizzola , Lasse Maretty , Asger Hobolth

Extracting genetic information from a full range of sequencing data is important for understanding diseases. We propose a novel method to effectively explore the landscape of genetic mutations and aggregate them to predict cancer type. We…

Genomics · Quantitative Biology 2018-10-10 Zexian Zeng , Andy Vo , Chengsheng Mao , Susan E Clare , Seema A Khan , Yuan Luo

Newsroom in online ecosystem is difficult to untangle. With prevalence of social media, interactions between journalists and individuals become visible, but lack of understanding to inner processing of information feedback loop in public…

Computers and Society · Computer Science 2018-01-03 Pau Perng-Hwa Kung

Mutational signatures connect characteristic mutational patterns in the genome with biological or chemical processes that take place in cancers. Analysis of mutational signatures can help elucidate tumor evolution, prognosis, and…

Genomics · Quantitative Biology 2024-12-09 Matúš Medo , Charlotte K. Y. Ng , Michaela Medová

A common approach to analyze a covariate-sample count matrix, an element of which represents how many times a covariate appears in a sample, is to factorize it under the Poisson likelihood. We show its limitation in capturing the tendency…

Methodology · Statistics 2017-10-06 Mingyuan Zhou

We introduce the probabilistic sequential matrix factorization (PSMF) method for factorizing time-varying and non-stationary datasets consisting of high-dimensional time-series. In particular, we consider nonlinear Gaussian state-space…

Machine Learning · Statistics 2021-03-19 Ömer Deniz Akyildiz , Gerrit J. J. van den Burg , Theodoros Damoulas , Mark F. J. Steel

This paper presents a portable, privacy-preserving, in-browser platform for the reproducible assessment of mutational signature detection methods from sparse sequencing data generated by targeted gene panels. The platform aims to address…

Genomics · Quantitative Biology 2023-06-05 Aaron Ge , Tongwu Zhang , Clara Bodelon , Montserrat Garcia-Closas , Jonas Almeida , Jeya Balasubramanian

A gamma process dynamic Poisson factor analysis model is proposed to factorize a dynamic count matrix, whose columns are sequentially observed count vectors. The model builds a novel Markov chain that sends the latent gamma random variables…

Machine Learning · Statistics 2015-12-31 Ayan Acharya , Joydeep Ghosh , Mingyuan Zhou

Non-negative Matrix Factorization (NMF) is a useful method to extract features from multivariate data, but an important and sometimes neglected concern is that NMF can result in non-unique solutions. Often, there exist a Set of Feasible…

Applications · Statistics 2021-01-20 Ragnhild Laursen , Asger Hobolth

In biophysics, the search for analytical solutions of stochastic models of cellular processes is often a challenging task. In recent work on models of gene expression, it was shown that a mapping based on partitioning of Poisson arrivals…

Biological Physics · Physics 2018-05-09 Hugo Tschirhart , Thierry Platini

Probabilistic matrix factorization (PMF) is a powerful method for modeling data associ- ated with pairwise relationships, Finding use in collaborative Filtering, computational bi- ology, and document analysis, among other areas. In many…

Machine Learning · Computer Science 2014-08-12 Ryan Prescott Adams , George E. Dahl , Iain Murray
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