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Over the years, Principal Component Analysis (PCA) has served as the baseline approach for dimensionality reduction in gene expression data analysis. It primary objective is to identify a subset of disease-causing genes from a vast pool of…

Algebraic Topology · Mathematics 2023-06-13 Sean Cottrell , Rui Wang , Guowei Wei

Many popular statistical models for complex phenomena are intractable, in the sense that the likelihood function cannot easily be evaluated. Bayesian estimation in this setting remains challenging, with a lack of computational methodology…

Computation · Statistics 2015-03-31 Nial Friel , Antonietta Mira , Chris. J. Oates

In evolutionary multitasking, strategies such as crossover operators and skill factor assignment are critical for effective knowledge transfer. Existing improvements to crossover operators primarily focus on low-dimensional variable…

Neural and Evolutionary Computing · Computer Science 2025-03-28 Ruilin Wang , Xiang Feng , Huiqun Yu , Edmund M-K Lai

Multitask learning, i.e. learning several tasks at once with the same neural network, can improve performance in each of the tasks. Designing deep neural network architectures for multitask learning is a challenge: There are many ways to…

Neural and Evolutionary Computing · Computer Science 2018-04-19 Jason Liang , Elliot Meyerson , Risto Miikkulainen

Mapping human genetic variation is fundamentally interesting in fields such as anthropology and forensic inference. At the same time patterns of genetic diversity confound efforts to determine the genetic basis of complex disease. Due to…

Applications · Statistics 2010-07-13 Ann B. Lee , Diana Luca , Kathryn Roeder

Phase-Rectified Signal Averaging (PRSA) was shown to be a powerful tool for the study of quasi-periodic oscillations and nonlinear effects in non-stationary signals. Here we present a bivariate PRSA technique for the study of the…

Data Analysis, Statistics and Probability · Physics 2009-11-13 Aicko Y. Schumann , Jan W. Kantelhardt , Axel Bauer , Georg Schmidt

Diet is a risk factor for many diseases. In nutritional epidemiology, studying reproducible dietary patterns is critical to reveal important associations with health. However, it is challenging: diverse cultural and ethnic backgrounds may…

Applications · Statistics 2025-02-10 Roberta De Vito , Alejandra Avalos-Pacheco

Next-generation sequencing technology enables the identification of thousands of gene regulatory sequences in many cell types and organisms. We consider the problem of testing if two such sequences differ in their number of binding site…

Genomics · Quantitative Biology 2014-02-04 Dennis Kostka , Tara Friedrich , Alisha K. Holloway , Katherine S. Pollard

Background: Continuous traits evolution of a group of taxa that are correlated through a phylogenetic tree is commonly modelled using parametric stochastic differential equations to represent deterministic change of trait through time,…

Populations and Evolution · Quantitative Biology 2026-04-03 Bayu Brahmantio , Krzysztof Bartoszek , Etka Yapar

Gene transcription is a highly stochastic and dynamic process. As a result, the mRNA copy number of a given gene is heterogeneous both between cells and across time. We present a framework to model gene transcription in populations of cells…

Quantitative Methods · Quantitative Biology 2017-01-10 Justine Dattani , Mauricio Barahona

Multi-omics integration offers novel insights into complex biological mechanisms by utlizing the fused information from various omics datasets. However, the inherent within- and inter-modality correlations in multi-omics data present…

Methodology · Statistics 2025-03-24 Zongrui Dai , Yvonne J. Huang , Gen Li

We consider learning problems over training sets in which both, the number of training examples and the dimension of the feature vectors, are large. To solve these problems we propose the random parallel stochastic algorithm (RAPSA). We…

Machine Learning · Computer Science 2016-03-23 Aryan Mokhtari , Alec Koppel , Alejandro Ribeiro

The significant role of epigenetic mechanisms within natural systems has become increasingly clear. This paper uses a recently presented abstract, tunable Boolean genetic regulatory network model to explore aspects of epigenetics. It is…

Neural and Evolutionary Computing · Computer Science 2013-06-21 Larry Bull

Multitask Reinforcement Learning (MTRL) approaches have gained increasing attention for its wide applications in many important Reinforcement Learning (RL) tasks. However, while recent advancements in MTRL theory have focused on the…

Machine Learning · Statistics 2024-03-07 Ziping Xu , Zifan Xu , Runxuan Jiang , Peter Stone , Ambuj Tewari

The vast majority of connections between complex disease and common genetic variants were identified through meta-analysis, a powerful approach that enables large samples sizes while protecting against common artifacts due to population…

Quality Diversity (QD) has emerged as a powerful alternative optimization paradigm that aims at generating large and diverse collections of solutions, notably with its flagship algorithm MAP-ELITES (ME) which evolves solutions through…

Neural and Evolutionary Computing · Computer Science 2023-06-16 Thomas Pierrot , Arthur Flajolet

Background: Many mathematical models have now been employed across every area of systems biology. These models increasingly involve large numbers of unknown parameters, have complex structure which can result in substantial evaluation time…

Molecular Networks · Quantitative Biology 2018-01-15 Ian Vernon , Junli Liu , Michael Goldstein , James Rowe , Jen Topping , Keith Lindsey

The last decade has witnessed a surge of theoretical and computational models to describe the dynamics of complex gene regulatory networks, and how these interactions can give rise to multistable and heterogeneous cell populations. As the…

Molecular Networks · Quantitative Biology 2023-06-28 Federico Bocci , Dongya Jia , Qing Nie , Mohit Kumar Jolly , Jose Onuchic

When the number of features exponentially outnumbers the number of samples, feature screening plays a pivotal role in reducing the dimension of the feature space and developing models based on such data. While most extant feature screening…

Methodology · Statistics 2019-11-19 Randall Reese

We study theoretically the in vitro evolution of a DNA sequence by binding to a transcription factor. Using a simple model of protein-DNA binding and available binding constants for the Mnt protein, we perform large-scale, realistic…

Condensed Matter · Physics 2009-11-10 Morten Kloster , Chao Tang