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In many biomedical problems, data are often heterogeneous, with samples spanning multiple patient subgroups, where different subgroups may have different disease subtypes, stages, or other medical contexts. These subgroups may be related,…

Methodology · Statistics 2022-11-30 Zihan Li , Ziye Luo , Yifan Sun

Genetic variation in human populations is influenced by geographic ancestry due to spatial locality in historical mating and migration patterns. Spatial population structure in genetic datasets has been traditionally analyzed using either…

Populations and Evolution · Quantitative Biology 2016-10-26 Anand Bhaskar , Adel Javanmard , Thomas A. Courtade , David Tse

High-throughput data analyses are becoming common in biology, communications, economics and sociology. The vast amounts of data are usually represented in the form of matrices and can be considered as knowledge networks. Spectra-based…

Quantitative Methods · Quantitative Biology 2010-01-06 Viet-Anh Nguyen , Zdena Koukolikova-Nicola , Franco Bagnoli , Pietro Lio

Compressed sensing is triggering a major evolution in signal acquisition. It consists in sampling a sparse signal at low rate and later using computational power for its exact reconstruction, so that only the necessary information is…

Statistical Mechanics · Physics 2012-06-07 Florent Krzakala , Marc Mézard , François Sausset , Yifan Sun , Lenka Zdeborová

To date, most genetic analyses of phenotypes have focused on analyzing single traits or, analyzing each phenotype independently. However, joint epistasis analysis of multiple complementary traits will increase statistical power, and hold…

Genomics · Quantitative Biology 2015-12-04 Futao Zhang , Dan Xie , Meimei Liang , Momiao Xiong

We propose a new method for reconstruction of sparse signals with and without noisy perturbations, termed the subspace pursuit algorithm. The algorithm has two important characteristics: low computational complexity, comparable to that of…

Numerical Analysis · Computer Science 2009-01-08 Wei Dai , Olgica Milenkovic

Genetic studies often involve quantitative traits. Identifying genetic features that influence quantitative traits can help to uncover the etiology of diseases. Quantile regression method considers the conditional quantiles of the response…

Statistics Theory · Mathematics 2015-11-04 Qianchuan He , Linglong Kong , Yanhua Wang , Sijian Wang , Timothy A. Chan , Eric Holland

We present a simple and effective algorithm for the problem of \emph{sparse robust linear regression}. In this problem, one would like to estimate a sparse vector $w^* \in \mathbb{R}^n$ from linear measurements corrupted by sparse noise…

Data Structures and Algorithms · Computer Science 2019-01-08 Sushrut Karmalkar , Eric Price

Standard approaches to analysing data in genome-wide association studies (GWAS) ignore any potential functional relationships between genetic markers. In contrast gene pathways analysis uses prior information on functional structure within…

Methodology · Statistics 2013-02-26 M. Silver , P. Chen , L. Ruoying , C. Y. Cheng , T. Y. Wong , E. Tai , Y. Y. Teo , G. Montana

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…

We address the problem of compressed sensing using a deep generative prior model and consider both linear and learned nonlinear sensing mechanisms, where the nonlinear one involves either a fully connected neural network or a convolutional…

Machine Learning · Computer Science 2021-05-26 Vinayak Killedar , Praveen Kumar Pokala , Chandra Sekhar Seelamantula

Reconstructing the causal network in a complex dynamical system plays a crucial role in many applications, from sub-cellular biology to economic systems. Here we focus on inferring gene regulation networks (GRNs) from perturbation or gene…

Quantitative Methods · Quantitative Biology 2016-12-21 Hoi-To Wai , Anna Scaglione , Uzi Harush , Baruch Barzel , Amir Leshem

A key goal of unsupervised learning is to go beyond density estimation and sample generation to reveal the structure inherent within observed data. Such structure can be expressed in the pattern of interactions between explanatory latent…

Machine Learning · Computer Science 2022-11-11 Changmin Yu , Hugo Soulat , Neil Burgess , Maneesh Sahani

Selecting interpretable feature sets in underdetermined ($n \ll p$) and highly correlated regimes constitutes a fundamental challenge in data science, particularly when analyzing physical measurements. In such settings, multiple distinct…

Machine Learning · Computer Science 2026-02-10 Kateřina Henclová , Václav Šmídl

Presented here is a simple method for cross-validated genome-wide association studies (cvGWAS). Focusing on phenotype prediction, the method is able to reveal a significant amount of missing heritability by properly selecting a small number…

Quantitative Methods · Quantitative Biology 2013-08-08 Xia Shen

Behavioral phenotyping of genetic animal models currently requires labor-intensive manual feature engineering that limits reproducibility and scalability. We present GEESE, an end-to-end deep learning framework that learns behavioral…

Machine Learning · Computer Science 2026-05-26 Yiran Ding , Yuen Gao , Chunqi Qian , Zijun Cui

In the problem of learning mixtures of linear regressions, the goal is to learn a collection of signal vectors from a sequence of (possibly noisy) linear measurements, where each measurement is evaluated on an unknown signal drawn uniformly…

Machine Learning · Computer Science 2019-11-01 Akshay Krishnamurthy , Arya Mazumdar , Andrew McGregor , Soumyabrata Pal

We propose a robust and efficient approach to the problem of compressive phase retrieval in which the goal is to reconstruct a sparse vector from the magnitude of a number of its linear measurements. The proposed framework relies on…

Information Theory · Computer Science 2015-10-28 Sohail Bahmani , Justin Romberg

Deep learning has significantly advanced building segmentation in remote sensing, yet models struggle to generalize on data of diverse geographic regions due to variations in city layouts and the distribution of building types, sizes and…

Computer Vision and Pattern Recognition · Computer Science 2025-07-23 Shuang Song , Yang Tang , Rongjun Qin

A linear structural equation model relates random variables of interest and corresponding Gaussian noise terms via a linear equation system. Each such model can be represented by a mixed graph in which directed edges encode the linear…

Statistics Theory · Mathematics 2012-10-04 Rina Foygel , Jan Draisma , Mathias Drton