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Large language models (LLMs) provide powerful means to leverage prior knowledge for predictive modeling when data is limited. In this work, we demonstrate how LLMs can use their compressed world knowledge to generate intrinsically…

Manifold learning has been successfully applied to a variety of medical imaging problems. Its use in real-time applications requires fast projection onto the low-dimensional space. To this end, out-of-sample extensions are applied by…

Computer Vision and Pattern Recognition · Computer Science 2013-03-29 George H. Chen , Christian Wachinger , Polina Golland

Due to the widespread use of complex machine learning models in real-world applications, it is becoming critical to explain model predictions. However, these models are typically black-box deep neural networks, explained post-hoc via…

Machine Learning · Computer Science 2022-10-20 Filip Radenovic , Abhimanyu Dubey , Dhruv Mahajan

In this work, we propose a technique for the use of fermionic neural networks (FermiNets) with the Slater exponential Ansatz for electron-nuclear and electron-electron distances, which provides faster convergence of target ground-state…

Quantum Physics · Physics 2023-08-15 Denis Bokhan , Aleksey S. Boev , Aleksey K. Fedorov , Dmitrii N. Trubnikov

Large-space no-core shell model calculations have been performed for A=3-6 nuclei, using a starting-energy-independent two-body effective interaction derived by application of the Lee-Suzuki similarity transformation. This transformation…

Nuclear Theory · Physics 2008-11-26 P. Navratil , B. R. Barrett

Machine learning force fields show great promise in enabling more accurate molecular dynamics simulations compared to manually derived ones. Much of the progress in recent years was driven by exploiting prior knowledge about physical…

Machine Learning · Computer Science 2025-09-11 Andreas Burger , Luca Thiede , Alán Aspuru-Guzik , Nandita Vijaykumar

We propose a novel deep learning method for local self-supervised representation learning that does not require labels nor end-to-end backpropagation but exploits the natural order in data instead. Inspired by the observation that…

Machine Learning · Computer Science 2020-01-28 Sindy Löwe , Peter O'Connor , Bastiaan S. Veeling

Quantum machine learning is a growing research field that aims to perform machine learning tasks assisted by a quantum computer. Kernel-based quantum machine learning models are paradigmatic examples where the kernel involves quantum…

Quantum Physics · Physics 2023-02-06 Diego Tancara , Hossein T. Dinani , Ariel Norambuena , Felipe F. Fanchini , Raúl Coto

Explicit analytic expressions are derived for the effective-range function for the case when the interaction is represented by a sum of the short-range square-well and long-range Coulomb potentials. These expressions are then transformed…

Nuclear Theory · Physics 2017-05-03 L. D. Blokhintsev , A. S. Kadyrov , A. M. Mukhamedzhanov , D. A. Savin

We demonstrate the synthesis of sparse sampling and machine learning to characterize and model complex, nonlinear dynamical systems over a range of bifurcation parameters. First, we construct modal libraries using the classical proper…

Pattern Formation and Solitons · Physics 2015-10-28 Syuzanna Sargsyan , Steven L. Brunton , J. Nathan Kutz

Unsupervised and supervised learning methods conventionally use kernels to capture nonlinearities inherent in data structure. However experts have to ensure their proposed nonlinearity maximizes variability and capture inherent diversity of…

Machine Learning · Computer Science 2025-07-30 Mojtaba Moattari

The remarkable progress in deep learning in recent years is largely driven by improvements in scale, where bigger models are trained on larger datasets for longer schedules. To predict the benefit of scale empirically, we argue for a more…

Machine Learning · Computer Science 2022-11-02 Ibrahim Alabdulmohsin , Behnam Neyshabur , Xiaohua Zhai

Understanding the dynamical response of quantum materials is central to revealing their microscopic properties, yet access to long-time and large-scale dynamics remains severely limited by rapidly growing computational costs and…

Strongly Correlated Electrons · Physics 2025-12-16 Hubert Pugzlys , Shreyas Varude , Sam Dillon , Huy Tran , Ta Tang , Zhe Jiang , Xuzhe Ying , Chunjing Jia

This paper presents a new deep learning-based framework for robust nonlinear estimation and control using the concept of a Neural Contraction Metric (NCM). The NCM uses a deep long short-term memory recurrent neural network for a global…

Systems and Control · Electrical Eng. & Systems 2020-11-20 Hiroyasu Tsukamoto , Soon-Jo Chung

We provide the first mathematically complete derivation of the Nystr\"om method for low-rank approximation of indefinite kernels and propose an efficient method for finding an approximate eigendecomposition of such kernel matrices. Building…

Machine Learning · Statistics 2019-06-03 Dino Oglic , Thomas Gärtner

Recently, deep Convolutional Neural Networks (CNNs) have proven to be successful when employed in areas such as reduced order modeling of parametrized PDEs. Despite their accuracy and efficiency, the approaches available in the literature…

Numerical Analysis · Mathematics 2023-01-26 Nicola Rares Franco , Stefania Fresca , Andrea Manzoni , Paolo Zunino

Machine learning is applied to derive microscopically parameters of the interacting boson model for nuclear spectroscopy. A physics-guided neural network is proposed, which is trained to map the potential energy landscapes that are…

Nuclear Theory · Physics 2026-05-18 Y. Obata , K. Nomura

Recent work has shown that, under certain assumptions, zero-shot reinforcement learning (RL) methods can generalise to any unseen task in an environment after reward-free pre-training. Access to Markov states is one such assumption, yet, in…

Machine Learning · Computer Science 2025-06-19 Scott Jeen , Tom Bewley , Jonathan M. Cullen

Pioneering study of Gamow-Teller (GT) and Fermi matrix elements (MEs) using no-core-configuration-interaction formalism rooted in multi-reference density functional theory is presented. After successful test performed for 6He -> 6Li…

Nuclear Theory · Physics 2016-04-13 M. Konieczka , P. Baczyk , W. Satula

In analyzing and assessing the condition of dynamical systems, it is necessary to account for nonlinearity. Recent advances in computation have rendered previously computationally infeasible analyses readily executable on common computer…

Computational Engineering, Finance, and Science · Computer Science 2021-09-24 Thomas Simpson , Nikolaos Dervilis , Eleni Chatzi
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