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We investigate a series of learning kernel problems with polynomial combinations of base kernels, which will help us solve regression and classification problems. We also perform some numerical experiments of polynomial kernels with…

Machine Learning · Computer Science 2017-12-27 Chen Li , Luca Venturi , Ruitu Xu

Optimizing GPU kernels is critical for efficient modern machine learning systems yet remains challenging due to the complex interplay of design factors and rapid hardware evolution. Existing automated approaches typically treat Large…

Artificial Intelligence · Computer Science 2026-02-27 Shiyi Cao , Ziming Mao , Joseph E. Gonzalez , Ion Stoica

The functions of proteins and RNAs are determined by a myriad of interactions between their constituent residues, but most quantitative models of how molecular phenotype depends on genotype must approximate this by simple additive effects.…

Quantitative Methods · Quantitative Biology 2017-12-19 Adam J. Riesselman , John B. Ingraham , Debora S. Marks

Generalizations and variations of the fundamental lemma by Willems et al. are an active topic of recent research. In this note, we explore and formalize the links between kernel regression and some known nonlinear extensions of the…

Systems and Control · Electrical Eng. & Systems 2024-09-16 Oleksii Molodchyk , Timm Faulwasser

Linear mixed models (LMMs) are widely used for heritability estimation in genome-wide association studies (GWAS). In standard approaches to heritability estimation with LMMs, a genetic relationship matrix (GRM) must be specified. In GWAS,…

Applications · Statistics 2019-01-11 Ruijun Ma , Lee H. Dicker

In variety testing, multi-environment trials (MET) are essential for evaluating the genotypic performance of crop plants. A persistent challenge in the statistical analysis of MET data is the estimation of variance components, which are…

Methodology · Statistics 2026-04-20 Stephan Bark , Waqas Ahmed Malik , Maryna Prus , Hans-Peter Piepho , Volker Schmid

Predicting interactions between small molecules and proteins is a crucial ingredient of the drug discovery process. In particular, accurate predictive models are increasingly used to preselect potential lead compounds from large molecule…

Quantitative Methods · Quantitative Biology 2007-09-26 Laurent Jacob , Jean-Philippe Vert

Kernel methods are an extremely popular set of techniques used for many important machine learning and data analysis applications. In addition to having good practical performances, these methods are supported by a well-developed theory.…

Machine Learning · Statistics 2015-04-23 Shiva Prasad Kasiviswanathan , Mark Rudelson

This article presents a general framework for the transport of probability measures towards minimum divergence generative modeling and sampling using ordinary differential equations (ODEs) and Reproducing Kernel Hilbert Spaces (RKHSs),…

Machine Learning · Statistics 2024-02-14 Biraj Pandey , Bamdad Hosseini , Pau Batlle , Houman Owhadi

This study explores the deployment of three machine learning (ML) approaches for real-time prediction of glucose, lactate, and ammonium concentrations in cell culture processes, using Raman spectroscopy as input features. The research…

Quantitative Methods · Quantitative Biology 2025-09-04 Thanh Tung Khuat , Johnny Peng , Robert Bassett , Ellen Otte , Bogdan Gabrys

Many diseases and traits involve a complex interplay between genes and environment, generating significant interest in studying gene-environment interaction through observational data. However, for lifestyle and environmental risk factors,…

Methodology · Statistics 2023-09-22 Malka Gorfine , Conghui Qu , Ulrike Peters , Li Hsu

We present a computational motivation for restricted maximum likelihood (REML) estimation in linear mixed models using an expectation--maximization (EM) algorithm. At each iteration, maximum likelihood (ML) and REML solve the same…

Computation · Statistics 2026-02-11 Andrew T. Karl

Deep neural network-based architectures give promising results in various domains including pattern recognition. Finding the optimal combination of the hyper-parameters of such a large-sized architecture is tedious and requires a large…

Computer Vision and Pattern Recognition · Computer Science 2020-03-17 Animesh Singh , Sandip Saha , Ritesh Sarkhel , Mahantapas Kundu , Mita Nasipuri , Nibaran Das

Quantum kernel methods are a promising branch of quantum machine learning, yet their effectiveness on diverse, high-dimensional, real-world data remains unverified. Current research has largely been limited to low-dimensional or synthetic…

Machine Learning · Computer Science 2026-02-19 Jiang Yuhan , Matthew Otten

Current multimodal survival prediction methods typically rely on pathology images (WSIs) and genomic data, both of which are high-dimensional and redundant, making it difficult to extract discriminative features from them and align…

Computer Vision and Pattern Recognition · Computer Science 2025-12-17 Chenyu Zhao , Yingxue Xu , Fengtao Zhou , Yihui Wang , Hao Chen

Linear Mixed Models (LMMs) are important tools in statistical genetics. When used for feature selection, they allow to find a sparse set of genetic traits that best predict a continuous phenotype of interest, while simultaneously correcting…

The recently proposed "generalized min-max" (GMM) kernel can be efficiently linearized, with direct applications in large-scale statistical learning and fast near neighbor search. The linearized GMM kernel was extensively compared in with…

Machine Learning · Statistics 2017-03-10 Ping Li

Rapid advancements in genome sequencing have led to the collection of vast amounts of genomics data. Researchers may be interested in using machine learning models on such data to predict the pathogenicity or clinical significance of a…

Quantitative Methods · Quantitative Biology 2024-08-15 Arshmeet Kaur , Morteza Sarmadi

Gene Regulatory Networks (GRNs) are intricate biological systems that control gene expression and regulation in response to environmental and developmental cues. Advances in computational biology, coupled with high throughput sequencing…

Machine Learning · Computer Science 2025-04-18 Akshata Hegde , Tom Nguyen , Jianlin Cheng

Integration of transcriptomic and metabolomic data improves functional interpretation of disease-related metabolomic phenotypes, and facilitates discovery of putative metabolite biomarkers and gene targets. For this reason, these data are…