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Developing accurate, transferable and computationally inexpensive machine learning models can rapidly accelerate the discovery and development of new materials. Some of the major challenges involved in developing such models are, (i)…

Last year, at least 30,000 scientific papers used the Kohn-Sham scheme of density functional theory to solve electronic structure problems in a wide variety of scientific fields, ranging from materials science to biochemistry to…

Computational Physics · Physics 2018-02-07 Felix Brockherde , Leslie Vogt , Li Li , Mark E. Tuckerman , Kieron Burke , Klaus-Robert Müller

Machine unlearning aims to remove specific data points from a trained model, often striving to emulate "perfect retraining", i.e., producing the model that would have been obtained had the deleted data never been included. We demonstrate…

Machine Learning · Computer Science 2026-02-19 Aloni Cohen , Refael Kohen , Kobbi Nissim , Uri Stemmer

In this paper, we aim at developing scalable neural network-type learning systems. Motivated by the idea of "constructive neural networks" in approximation theory, we focus on "constructing" rather than "training" feed-forward neural…

Machine Learning · Computer Science 2016-05-03 Shaobo Lin , Jinshan Zeng , Xiaoqin Zhang

Machine learning is a data-driven field, and the quality of the underlying datasets plays a crucial role in learning success. However, high performance on held-out test data does not necessarily indicate that a model generalizes or learns…

Computer Vision and Pattern Recognition · Computer Science 2023-05-24 Nicolas M. Müller , Jochen Jacobs , Jennifer Williams , Konstantin Böttinger

We provide here a universal approximation theorem with precise quantitative error bounds for noisy quantum neural networks. We focus on applications to Quantitative Finance, where target functions are often given as expectations. We further…

Quantum Physics · Physics 2026-05-20 Lukas Gonon , Antoine Jacquier , Marcel Mordarski

Linear regression is a classical paradigm in statistics. A new look at it is provided via the lens of universal learning. In applying universal learning to linear regression the hypotheses class represents the label $y\in {\cal R}$ as a…

Machine Learning · Computer Science 2019-11-11 Koby Bibas , Yaniv Fogel , Meir Feder

Modern deep learning requires large volumes of data, which could contain sensitive or private information that cannot be leaked. Recent work has shown for homogeneous neural networks a large portion of this training data could be…

Machine Learning · Computer Science 2023-11-13 Noel Loo , Ramin Hasani , Mathias Lechner , Alexander Amini , Daniela Rus

Kernel regression is an essential and ubiquitous tool for non-parametric data analysis, particularly popular among time series and spatial data. However, the central operation which is performed many times, evaluating a kernel on the data…

Machine Learning · Computer Science 2017-06-01 Yan Zheng , Jeff M. Phillips

This work proposes kernel transform learning. The idea of dictionary learning is well known; it is a synthesis formulation where a basis is learnt along with the coefficients so as to generate or synthesize the data. Transform learning is…

Computer Vision and Pattern Recognition · Computer Science 2020-08-10 Jyoti Maggu , Angshul Majumdar

Over the past decade machine learning has made significant advances in approximating density functionals, but whether this signals the end of human-designed functionals remains to be seen. Ryan Pederson, Bhupalee Kalita and Kieron Burke…

Computational Physics · Physics 2022-05-24 Ryan Pederson , Bhupalee Kalita , Kieron Burke

Current deep neural networks (DNNs) can easily overfit to biased training data with corrupted labels or class imbalance. Sample re-weighting strategy is commonly used to alleviate this issue by designing a weighting function mapping from…

Machine Learning · Computer Science 2019-09-30 Jun Shu , Qi Xie , Lixuan Yi , Qian Zhao , Sanping Zhou , Zongben Xu , Deyu Meng

Neural ODEs and i-ResNet are recently proposed methods for enforcing invertibility of residual neural models. Having a generic technique for constructing invertible models can open new avenues for advances in learning systems, but so far…

Machine Learning · Computer Science 2020-03-03 Han Zhang , Xi Gao , Jacob Unterman , Tom Arodz

We propose methods to train convolutional neural networks (CNNs) with both binarized weights and activations, leading to quantized models that are specifically friendly to mobile devices with limited power capacity and computation…

Computer Vision and Pattern Recognition · Computer Science 2022-06-07 Bohan Zhuang , Chunhua Shen , Mingkui Tan , Peng Chen , Lingqiao Liu , Ian Reid

Graph neural networks (GNNs) have been widely used to predict properties and heuristics of mixed-integer linear programs (MILPs) and hence accelerate MILP solvers. This paper investigates the capacity of GNNs to represent strong branching…

Machine Learning · Computer Science 2025-01-09 Ziang Chen , Jialin Liu , Xiaohan Chen , Xinshang Wang , Wotao Yin

Extracting meaningful features from complex, high-dimensional datasets across scientific domains remains challenging. Current methods often struggle with scalability, limiting their applicability to large datasets, or make restrictive…

Machine Learning · Computer Science 2024-03-22 Matt Raymond , Jacob Charles Saldinger , Paolo Elvati , Clayton Scott , Angela Violi

Deep neural networks (DNNs) may outperform human brains in complex tasks, but the lack of transparency in their decision-making processes makes us question whether we could fully trust DNNs with high stakes problems. As DNNs' operations…

Machine Learning · Computer Science 2020-03-19 Jung Hoon Lee

We prove that all functions obeying the Kramers-Kronig relations can be approximated as superpositions of Lorentzian functions, to any precision. As a result, the typical text-book analysis of dielectric dispersion response functions in…

Optics · Physics 2013-10-16 Christopher A. Dirdal , Johannes Skaar

The democratization of Data Mining has been widely successful thanks in part to powerful and easy-to-use Machine Learning libraries. These libraries have been particularly tailored to tackle Supervised Learning. However, strong supervision…

Machine Learning · Computer Science 2023-08-21 Pierre Nodet , Vincent Lemaire , Alexis Bondu , Antoine Cornuéjols

Operating quantum sensors and quantum computers would make data in the form of quantum states available for purely quantum processing, opening new avenues for studying physical processes and certifying quantum technologies. In this…

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