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We present a novel machine learning approach to understanding conformation dynamics of biomolecules. The approach combines kernel-based techniques that are popular in the machine learning community with transfer operator theory for…

Computational Physics · Physics 2019-01-24 Stefan Klus , Andreas Bittracher , Ingmar Schuster , Christof Schütte

While data science is battling to extract information from the enormous explosion of data, many estimators and algorithms are being developed for better prediction. Researchers and data scientists often introduce new methods and evaluate…

Applications · Statistics 2019-05-22 Raju Rimal , Trygve Almøy , Solve Sæbø

We propose a new method for blind system identification. Resorting to a Gaussian regression framework, we model the impulse response of the unknown linear system as a realization of a Gaussian process. The structure of the covariance matrix…

Systems and Control · Computer Science 2016-05-20 Giulio Bottegal , Riccardo S. Risuleo , Håkan Hjalmarsson

Predicting the mechanical properties of polysulfone (PSF) membranes from structural descriptors remains challenging due to extreme data scarcity typical of experimental studies. To investigate this issue, this study benchmarked…

Artificial Intelligence · Computer Science 2026-03-17 Dingding Cao , Mieow Kee Chan , Wan Sieng Yeo , Said Bey , Alberto Figoli

Kernel methods are powerful learning methodologies that allow to perform non-linear data analysis. Despite their popularity, they suffer from poor scalability in big data scenarios. Various approximation methods, including random feature…

Machine Learning · Statistics 2022-06-14 Bharath Sriperumbudur , Nicholas Sterge

Accurate prediction of protein-protein binding affinity is vital for understanding molecular interactions and designing therapeutics. We adapt Boltz-2, a state-of-the-art structure-based protein-ligand affinity predictor, for…

Machine Learning · Computer Science 2025-12-09 James King , Lewis Cornwall , Andrei Cristian Nica , James Day , Aaron Sim , Neil Dalchau , Lilly Wollman , Joshua Meyers

We present a computational scheme for predicting the ligands that bind to a pocket of known structure. It is based on the generation of a general abstract representation of the molecules, which is invariant to rotations, translations and…

Chemical Physics · Physics 2024-05-09 R. Beccaria , A. Lazzeri , G. Tiana

Physics-informed neural networks (PINNs) have emerged as a promising approach to solving partial differential equations (PDEs) using neural networks, particularly in data-scarce scenarios, due to their unsupervised training capability.…

Machine Learning · Computer Science 2025-03-25 Edgar Torres , Jonathan Schiefer , Mathias Niepert

Binding affinity optimization is crucial in early-stage drug discovery. While numerous machine learning methods exist for predicting ligand potency, their comparative efficacy remains unclear. This study evaluates the performance of…

Biomolecules · Quantitative Biology 2024-07-30 Nikolai Schapin , Carles Navarro , Albert Bou , Gianni De Fabritiis

This article gives a new insight of kernel-based (approximation) methods to solve the high-dimensional stochastic partial differential equations. We will combine the techniques of meshfree approximation and kriging interpolation to extend…

Numerical Analysis · Mathematics 2015-02-20 Qi Ye

Probabilistic partial least squares (PPLS) is a central likelihood-based model for two-view learning when one needs both interpretable latent factors and calibrated uncertainty. Building on the identifiable parameterization of Bouhaddani et…

Machine Learning · Statistics 2026-05-13 Haoran Hu , Xingce Wang

Feature extraction and dimensionality reduction are important tasks in many fields of science dealing with signal processing and analysis. The relevance of these techniques is increasing as current sensory devices are developed with ever…

Machine Learning · Statistics 2013-10-21 Jerónimo Arenas-García , Kaare Brandt Petersen , Gustavo Camps-Valls , Lars Kai Hansen

Protein-ligand binding is the process by which a small molecule (drug or inhibitor) attaches to a target protein. Binding affinity, which characterizes the strength of biomolecular interactions, is essential for tackling diverse challenges…

Recent advances in topology-based modeling have accelerated progress in physical modeling and molecular studies, including applications to protein-ligand binding affinity. In this work, we introduce the Persistent Laplacian Decision Tree…

Biomolecules · Quantitative Biology 2024-12-25 Xingjian Xu , Jiahui Chen , Chunmei Wang

Least squares kernel based methods have been widely used in regression problems due to the simple implementation and good generalization performance. Among them, least squares support vector regression (LS-SVR) and extreme learning machine…

Machine Learning · Computer Science 2020-06-03 Hongwei Dong , Liming Yang

We propose generalized additive partial linear models for complex data which allow one to capture nonlinear patterns of some covariates, in the presence of linear components. The proposed method improves estimation efficiency and increases…

Statistics Theory · Mathematics 2014-05-26 Li Wang , Lan Xue , Annie Qu , Hua Liang

Accurate prediction of pure component physiochemical properties is crucial for process integration, multiscale modeling, and optimization. In this work, an enhanced framework for pure component property prediction by using explainable…

Applications · Statistics 2025-06-09 Jianfeng Jiao , Xi Gao , Jie Li

A new statistical procedure, based on a modified spline basis, is proposed to identify the linear components in the panel data model with fixed effects. Under some mild assumptions, the proposed procedure is shown to consistently estimate…

Econometrics · Economics 2019-11-21 Ruiqi Liu , Ben Boukai , Zuofeng Shang

The major histocompatibility complex (MHC) molecules, which bind peptides for presentation on the cell surface, play an important role in cell-mediated immunity. In light of developing databases and technologies over the years, significant…

Biomolecules · Quantitative Biology 2023-01-26 Ayşenaz Ezgi Ergin , Deniz Turgay Altılar

The success of kernel-based learning methods depend on the choice of kernel. Recently, kernel learning methods have been proposed that use data to select the most appropriate kernel, usually by combining a set of base kernels. We introduce…

Machine Learning · Computer Science 2011-12-21 Arash Afkanpour , Csaba Szepesvari , Michael Bowling