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The kernel least-mean-square (KLMS) algorithm is an appealing tool for online identification of nonlinear systems due to its simplicity and robustness. In addition to choosing a reproducing kernel and setting filter parameters, designing a…

Machine Learning · Statistics 2013-11-01 Jie Chen , Wei Gao , Cédric Richard , Jose-Carlos M. Bermudez

Accurate prediction of protein-ligand binding affinities is crucial for drug development. Recent advances in machine learning show promising results on this task. However, these methods typically rely heavily on labeled data, which can be…

Machine Learning · Computer Science 2024-06-13 Meng Liu , Saee Gopal Paliwal

Accurately determining a change in protein binding affinity upon mutations is important for the discovery and design of novel therapeutics and to assist mutagenesis studies. Determination of change in binding affinity upon mutations…

Biomolecules · Quantitative Biology 2021-09-01 Wajid Arshad Abbasi , Syed Ali Abbas , Saiqa Andleeb

Conformal prediction (CP) is a distribution-free method to construct reliable prediction intervals that has gained significant attention in recent years. Despite its success and various proposed extensions, a significant practical feature…

Statistics Theory · Mathematics 2026-02-02 Louis Allain , Sébastien Da Veiga , Brian Staber

Regularized kernel methods such as, e.g., support vector machines and least-squares support vector regression constitute an important class of standard learning algorithms in machine learning. Theoretical investigations concerning…

Machine Learning · Statistics 2012-03-21 Robert Hable

The prediction of amyloidogenicity in peptides and proteins remains a focal point of ongoing bioinformatics. The crucial step in this field is to apply advanced computational methodologies. Many recent approaches to predicting…

Machine Learning · Computer Science 2025-08-19 Zohra Yagoub , Hafida Bouziane

We propose a novel transfer learning approach for orphan screening called corresponding projections. In orphan screening the learning task is to predict the binding affinities of compounds to an orphan protein, i.e., one for which no…

Machine Learning · Computer Science 2018-12-04 Sven Giesselbach , Katrin Ullrich , Michael Kamp , Daniel Paurat , Thomas Gärtner

We assume a nonparametric regression model where the signal is given by the sum of a piecewise constant function and a smooth function. To detect the change-points and estimate the regression functions, we propose PCpluS, a combination of…

Methodology · Statistics 2025-03-11 Florian Pein , Rajen D. Shah

We consider the use of Gaussian Processes (GPs) or Neural Networks (NNs) to numerically approximate the solutions to nonlinear partial differential equations (PDEs) with rough forcing or source terms, which commonly arise as pathwise…

Numerical Analysis · Mathematics 2025-01-31 Ricardo Baptista , Edoardo Calvello , Matthieu Darcy , Houman Owhadi , Andrew M. Stuart , Xianjin Yang

Regularized empirical risk minimization including support vector machines plays an important role in machine learning theory. In this paper regularized pairwise learning (RPL) methods based on kernels will be investigated. One example is…

Statistics Theory · Mathematics 2015-10-13 Andreas Christmann , Ding-Xuan Zhou

A spectral mixture (SM) kernel is a flexible kernel used to model any stationary covariance function. Although it is useful in modeling data, the learning of the SM kernel is generally difficult because optimizing a large number of…

Machine Learning · Statistics 2020-06-15 Yohan Jung , Kyungwoo Song , Jinkyoo Park

Prediction of protein-ligand (PL) binding affinity remains the key to drug discovery. Popular approaches in recent years involve graph neural networks (GNNs), which are used to learn the topology and geometry of PL complexes. However, GNNs…

Machine Learning · Computer Science 2022-05-17 Dmitrii Gavrilev , Nurlybek Amangeldiuly , Sergei Ivanov , Evgeny Burnaev

The cornerstone of computational drug design is the calculation of binding affinity between two biological counterparts, especially a chemical compound, i.e., a ligand, and a protein. Predicting the strength of protein-ligand binding with…

Biomolecules · Quantitative Biology 2019-12-04 Yanjun Li , Mohammad A. Rezaei , Chenglong Li , Xiaolin Li , Dapeng Wu

Structure based ligand discovery is one of the most successful approaches for augmenting the drug discovery process. Currently, there is a notable shift towards machine learning (ML) methodologies to aid such procedures. Deep learning has…

Machine Learning · Statistics 2018-06-12 Marta M. Stepniewska-Dziubinska , Piotr Zielenkiewicz , Pawel Siedlecki

Data driven soft sensor design has recently gained immense popularity, due to advances in sensory devices, and a growing interest in data mining. While partial least squares (PLS) is traditionally used in the process literature for…

Machine Learning · Statistics 2019-04-25 Aysun Urhan , Burak Alakent

We propose a kernel mixture of polynomials prior for Bayesian nonparametric regression. The regression function is modeled by local averages of polynomials with kernel mixture weights. We obtain the minimax-optimal rate of contraction of…

Statistics Theory · Mathematics 2018-09-17 Fangzheng Xie , Yanxun Xu

The use of machine learning (ML) algorithms in molecular simulations has become commonplace in recent years. There now exists, for instance, a multitude of ML force field algorithms that have enabled simulations approaching ab initio level…

Chemical Physics · Physics 2025-04-17 Jakub K. Sowa , Peter J. Rossky

Partial least squares regression---or PLS---is a multivariate method in which models are estimated using either the SIMPLS or NIPALS algorithm. PLS regression has been extensively used in applied research because of its effectiveness in…

We propose a novel method to model nonlinear regression problems by adapting the principle of penalization to Partial Least Squares (PLS). Starting with a generalized additive model, we expand the additive component of each variable in…

Statistics Theory · Mathematics 2010-08-13 Nicole Kraemer , Anne-Laure Boulesteix , Gerhard Tutz

With a rapid increase in volume and complexity of data sets, there is a need for methods that can extract useful information, for example the relationship between two data sets measured for the same persons. The Partial Least Squares (PLS)…