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We propose Pullback Flow Matching (PFM), a novel framework for generative modeling on data manifolds. Unlike existing methods that assume or learn restrictive closed-form manifold mappings for training Riemannian Flow Matching (RFM) models,…

Machine Learning · Computer Science 2025-07-10 Friso de Kruiff , Erik Bekkers , Ozan Öktem , Carola-Bibiane Schönlieb , Willem Diepeveen

The Gaussian graphical model (GGM) incorporates an undirected graph to represent the conditional dependence between variables, with the precision matrix encoding partial correlation between pair of variables given the others. To achieve…

Methodology · Statistics 2023-07-03 Yueqi Qian , Xianghong Hu , Can Yang

Functional variables are often used as predictors in regression problems. A commonly-used parametric approach, called {\it scalar-on-function regression}, uses the $\ltwo$ inner product to map functional predictors into scalar responses.…

Methodology · Statistics 2020-06-02 Kyungmin Ahn , J. Derek Tucker , Wei Wu , Anuj Srivastava

While studies show that autism is highly heritable, the nature of the genetic basis of this disorder remains illusive. Based on the idea that highly correlated genes are functionally interrelated and more likely to affect risk, we develop a…

Methodology · Statistics 2015-11-18 Li Liu , Jing Lei , Kathryn Roeder

Identifying shared genetic risk factors for multiple measured traits has been of great interest in studying complex disorders. Marlow's (2003) method for detecting shared gene effects on complex traits has been highly influential in the…

Methodology · Statistics 2009-04-16 Summer S. Han , Elena L. Grigorenko , Joseph T. Chang

Omics data, such as transcriptomics, proteomics, and metabolomics, provide critical insights into disease mechanisms and clinical outcomes. However, their high dimensionality, small sample sizes, and intricate biological networks pose major…

Machine Learning · Computer Science 2026-01-22 Tiantian Yang , Yuxuan Wang , Zhenwei Zhou , Ching-Ti Liu

We present a novel graphical framework for modeling non-negative sequential data with hierarchical structure. Our model corresponds to a network of coupled non-negative matrix factorization (NMF) modules, which we refer to as a positive…

Machine Learning · Computer Science 2009-07-16 Brian K. Vogel

Feature selection (FS) remains essential for building accurate and interpretable detection models, particularly in high-dimensional malware datasets. Conventional FS methods such as Extra Trees, Variance Threshold, Tree-based models,…

Machine Learning · Computer Science 2026-02-11 Naveen Gill , Ajvad Haneef K , Madhu Kumar S D

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

Predicting molecular properties is essential for drug discovery, and computational methods can greatly enhance this process. Molecular graphs have become a focus for representation learning, with Graph Neural Networks (GNNs) widely used.…

Machine Learning · Computer Science 2025-01-31 Yan Sun , Yutong Lu , Yan Yi Li , Zihao Jing , Carson K. Leung , Pingzhao Hu

The advent of plant phenomics, coupled with the wealth of genotypic data generated by next-generation sequencing technologies, provides exciting new resources for investigations into and improvement of complex traits. However, these new…

Genomics · Quantitative Biology 2019-04-30 Gota Morota , Diego Jarquin , Malachy T. Campbell , Hiroyoshi Iwata

Large Language Models (LLMs) have revolutionized natural language processing through their state of art reasoning capabilities. This paper explores the convergence of LLM reasoning techniques and feature generation for machine learning…

Computation and Language · Computer Science 2025-03-21 Dharani Chandra

Spatiotemporal data consisting of timestamps, GPS coordinates, and IDs occurs in many settings. Modeling approaches for this type of data must address challenges in terms of sensor noise, uneven sampling rates, and non-persistent IDs. In…

Methodology · Statistics 2024-10-10 Pranay Pherwani , Nicholas Hass , Anna K. Yanchenko

The functional linear model is a popular tool to investigate the relationship between a scalar/functional response variable and a scalar/functional covariate. We generalize this model to a functional linear mixed-effects model when repeated…

Methodology · Statistics 2016-01-07 Baisen Liu , Jiguo Cao

The huge wealth of data in the health domain can be exploited to create models that predict development of health states over time. Temporal learning algorithms are well suited to learn relationships between health states and make…

Neural and Evolutionary Computing · Computer Science 2019-04-12 Mark Hoogendoorn , Ward van Breda , Jeroen Ruwaard

Machine learning (ML) approaches have been used to develop highly accurate and efficient applications in many fields including bio-medical science. However, even with advanced ML techniques, cancer classification using gene expression data…

Genomics · Quantitative Biology 2023-05-10 Mahmood Khalsan , Mu Mu , Eman Salih Al-Shamery , Lee Machado , Suraj Ajit , Michael Opoku Agyeman

Many biological characteristics of evolutionary interest are not scalar variables but continuous functions. Given a dataset of function-valued traits generated by evolution, we develop a practical statistical approach to infer ancestral…

Genome-wide association studies (GWA studies or GWAS) investigate the relationships between genetic variants such as single-nucleotide polymorphisms (SNPs) and individual traits. Recently, incorporating biological priors together with…

Machine Learning · Statistics 2017-09-13 Tao Yang , Paul Thompson , Sihai Zhao , Jieping Ye

We study estimation in the low signal-to-noise ratio (SNR) regime for a broad class of Gaussian latent-variable models, including Gaussian mixtures and orbit recovery problems. We show that, in this regime, the generalized method-of-moments…

Statistics Theory · Mathematics 2026-05-29 Amnon Balanov , Tamir Bendory , Dan Edidin

Establishing causality is a fundamental goal in fields like medicine and social sciences. While randomized controlled trials are the gold standard for causal inference, they are not always feasible or ethical. Observational studies can…

Statistics Theory · Mathematics 2024-12-03 Andrew Ying