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A very active area of materials research is to devise methods that use machine learning to automatically extract predictive models from existing materials data. While prior examples have demonstrated successful models for some applications,…

Materials Science · Physics 2016-08-29 Logan Ward , Ankit Agrawal , Alok Choudhary , Christopher Wolverton

Kernels are often developed and used as implicit mapping functions that show impressive predictive power due to their high-dimensional feature space representations. In this study, we gradually construct a series of simple feature maps that…

Machine Learning · Computer Science 2020-07-20 Gurhan Ceylan , S. Ilker Birbil

Over the past decade inter-atomic potentials based on machine-learning (ML) techniques have become an indispensable tool in the atomic-scale modeling of materials. Trained on energies and forces obtained from electronic-structure…

Materials Science · Physics 2022-08-15 Michele Ceriotti

Kernel methods play a critical role in many machine learning algorithms. They are useful in manifold learning, classification, clustering and other data analysis tasks. Setting the kernel's scale parameter, also referred to as the kernel's…

Machine Learning · Computer Science 2019-06-06 Ofir Lindenbaum , Moshe Salhov , Arie Yeredor , Amir Averbuch

Kernel methods are powerful for machine learning, as they can represent data in feature spaces that similarities between samples may be faithfully captured. Recently, it is realized that machine learning enhanced by quantum computing is…

Quantum Physics · Physics 2023-08-22 Long Hin Li , Dan-Bo Zhang , Z. D. Wang

High-throughput pheno-, geno-, and envirotyping allows characterization of plant genotypes and the trials they are evaluated in, producing different types of data. These different data modalities can be integrated into statistical or…

We propose a set of kernel-based tools to evaluate the designs and tune the hyperparameters of conditional sequence models, with a focus on problems in computational biology. The backbone of our tools is a new measure of discrepancy between…

Machine Learning · Statistics 2025-10-20 Pierre Glaser , Steffanie Paul , Alissa M. Hummer , Charlotte M. Deane , Debora S. Marks , Alan N. Amin

We employ so-called quantum kernel estimation to exploit complex quantum dynamics of solid-state nuclear magnetic resonance for machine learning. We propose to map an input to a feature space by input-dependent Hamiltonian evolution, and…

Quantum Physics · Physics 2022-03-14 Takeru Kusumoto , Kosuke Mitarai , Keisuke Fujii , Masahiro Kitagawa , Makoto Negoro

Recent breakthroughs and successful deployment of large language and vision models in a constrained environment predominantly follow a two phase approach. First, large models are trained to achieve peak performance, followed by a model…

Machine Learning · Computer Science 2024-11-22 Hanna Mazzawi , Pranjal Awasthi , Xavi Gonzalvo , Srikumar Ramalingam

Learning the kernel functions used in kernel methods has been a vastly explored area in machine learning. It is now widely accepted that to obtain 'good' performance, learning a kernel function is the key challenge. In this work we focus on…

Machine Learning · Computer Science 2016-01-08 Chetan Tonde , Ahmed Elgammal

In this paper we investigate the performance of different machine learning potentials (MLPs) in predicting key thermodynamic properties of water using RPBE+D3. Specifically, we scrutinize kernel-based regression and high-dimensional neural…

In Computer Vision, problem of identifying or classifying the objects present in an image is called Object Categorization. It is a challenging problem, especially when the images have clutter background, occlusions or different lighting…

Computer Vision and Pattern Recognition · Computer Science 2016-04-26 Jyothi Korra

Determining the stability of molecules and condensed phases is the cornerstone of atomistic modelling, underpinning our understanding of chemical and materials properties and transformations. Here we show that a machine learning model,…

We introduce a novel kernel-based framework for learning differential equations and their solution maps that is efficient in data requirements, in terms of solution examples and amount of measurements from each example, and computational…

Machine Learning · Statistics 2025-04-07 Yasamin Jalalian , Juan Felipe Osorio Ramirez , Alexander Hsu , Bamdad Hosseini , Houman Owhadi

Machine learning approaches have become popular for molecular modeling tasks, including molecular force fields and properties prediction. Traditional supervised learning methods suffer from scarcity of labeled data for particular tasks,…

Chemical Physics · Physics 2022-11-29 Xiang Gao , Weihao Gao , Wenzhi Xiao , Zhirui Wang , Chong Wang , Liang Xiang

Leveraging ab initio data at scale has enabled the development of machine learning models capable of extremely accurate and fast molecular property prediction. A central paradigm of many previous works focuses on generating predictions for…

Computational Physics · Physics 2022-11-30 Kirill Shmilovich , Devin Willmott , Ivan Batalov , Mordechai Kornbluth , Jonathan Mailoa , J. Zico Kolter

Measurements of systems taken along a continuous functional dimension, such as time or space, are ubiquitous in many fields, from the physical and biological sciences to economics and engineering.Such measurements can be viewed as…

We propose a class of kernel-based two-sample tests, which aim to determine whether two sets of samples are drawn from the same distribution. Our tests are constructed from kernels parameterized by deep neural nets, trained to maximize test…

Machine Learning · Statistics 2021-01-15 Feng Liu , Wenkai Xu , Jie Lu , Guangquan Zhang , Arthur Gretton , Danica J. Sutherland

We present an efficient approach for generating highly accurate molecular potential energy surfaces (PESs) using self-correcting, kernel ridge regression (KRR) based machine learning (ML). We introduce structure-based sampling to…

Chemical Physics · Physics 2018-08-20 Pavlo O. Dral , Alec Owens , Sergei N. Yurchenko , Walter Thiel

We propose a new kernel for biological sequences which borrows ideas and techniques from information theory and data compression. This kernel can be used in combination with any kernel method, in particular Support Vector Machines for…

Genomics · Quantitative Biology 2011-01-05 Marco Cuturi , Jean-Philippe Vert
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