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Quantum Monte Carlo approaches such as the diffusion Monte Carlo (DMC) method are among the most accurate many-body methods for extended systems. Their scaling makes them well suited for defect calculations in solids. We review the various…

Materials Science · Physics 2014-04-23 William D. Parker , John W. Wilkins , Richard G. Hennig

We present the extension of variational Monte Carlo (VMC) to the calculation of electronic excitation energies and oscillator strengths using time-dependent linear-response theory. By exploiting the analogy existing between the linear…

Chemical Physics · Physics 2018-11-08 Bastien Mussard , Emanuele Coccia , Roland Assaraf , Matt Otten , C. J. Umrigar , Julien Toulouse

For the first time, we implement the deep-neural-network-based variational Monte Carlo approach for the multiquark bound states, whose complexity surpasses that of electron or nucleon systems due to strong SU(3) color interactions. We…

High Energy Physics - Phenomenology · Physics 2026-02-20 Wei-Lin Wu , Lu Meng , Shi-Lin Zhu

Hybrid analog and digital beamforming transceivers are instrumental in addressing the challenge of expensive hardware and high training overheads in the next generation millimeter-wave (mm-Wave) massive MIMO (multiple-input multiple-output)…

Signal Processing · Electrical Eng. & Systems 2022-01-04 Ahmet M. Elbir , Kumar Vijay Mishra , M. R. Bhavani Shankar , Björn Ottersten

Machine-learning (ML) ans\"atze have greatly expanded the accuracy and reach of variational quantum Monte Carlo (QMC) calculations, in particular when exploring the manifold quantum phenomena exhibited by spin systems. However, the…

Quantum Physics · Physics 2025-11-24 Manuel Gallego , Sebastián Roca-Jerat , David Zueco , Jesús Carrete

This paper is concerned with the approximation of the solution of partial differential equations by means of artificial neural networks. Here a feedforward neural network is used to approximate the solution of the partial differential…

Numerical Analysis · Mathematics 2019-04-10 Henri Calandra , Serge Gratton , Elisa Riccietti , Xavier Vasseur

Deep neural networks have become the gold-standard approach for the automated segmentation of 3D medical images. Their full acceptance by clinicians remains however hampered by the lack of intelligible uncertainty assessment of the provided…

Image and Video Processing · Electrical Eng. & Systems 2022-09-23 Benjamin Lambert , Florence Forbes , Senan Doyle , Alan Tucholka , Michel Dojat

Modeling of turbulent flows is still challenging. One way to deal with the large scale separation due to turbulence is to simulate only the large scales and model the unresolved contributions as done in large-eddy simulation (LES). This…

Computational Physics · Physics 2019-10-03 Mathis Bode , Michael Gauding , Konstantin Kleinheinz , Heinz Pitsch

Deep learning (DL) networks have recently been shown to outperform other segmentation methods on various public, medical-image challenge datasets [3,11,16], especially for large pathologies. However, in the context of diseases such as…

Computer Vision and Pattern Recognition · Computer Science 2018-10-18 Tanya Nair , Doina Precup , Douglas L. Arnold , Tal Arbel

Programmable quantum simulators based on Rydberg atom arrays are a fast-emerging quantum platform, bringing together long coherence times, high-fidelity operations, and large numbers of interacting qubits deterministically arranged in…

We introduce a variational dictionary learning algorithm with hybrid penalization for single-cell microscopy signals. The cost functional couples least-squares data fidelity with total-variation (TV) regularization and a non-negativity…

Numerical Analysis · Mathematics 2026-04-28 Erdem Altuntac

On account of its many successes in inference tasks and denoising applications, Dictionary Learning (DL) and its related sparse optimization problems have garnered a lot of research interest. While most solutions have focused on single…

Machine Learning · Computer Science 2020-10-22 Wen Tang , Emilie Chouzenoux , Jean-Christophe Pesquet , Hamid Krim

The current deep learning model is of a single-grade, that is, it learns a deep neural network by solving a single nonconvex optimization problem. When the layer number of the neural network is large, it is computationally challenging to…

Machine Learning · Computer Science 2023-02-02 Yuesheng Xu

The extreme multi-label classification~(XMC) task involves learning a classifier that can predict from a large label set the most relevant subset of labels for a data instance. While deep neural networks~(DNNs) have demonstrated remarkable…

Machine Learning · Computer Science 2024-07-09 Ken Nishida , Kojiro Machi , Kazuma Onishi , Katsuhiko Hayashi , Hidetaka Kamigaito

Large language models, like transformers, have recently demonstrated immense powers in text and image generation. This success is driven by the ability to capture long-range correlations between elements in a sequence. The same feature…

Quantum Physics · Physics 2024-03-19 Kyle Sprague , Stefanie Czischek

The conventional tensor-network states employ real-space product states as reference wave functions. Here, we propose a many-variable variational Monte Carlo (mVMC) method combined with tensor networks by taking advantages of both to study…

Strongly Correlated Electrons · Physics 2017-08-09 Hui-Hai Zhao , Kota Ido , Satoshi Morita , Masatoshi Imada

We present a neural network based calibration method that performs the calibration task within a few milliseconds for the full implied volatility surface. The framework is consistently applicable throughout a range of volatility models…

Mathematical Finance · Quantitative Finance 2019-08-26 Blanka Horvath , Aitor Muguruza , Mehdi Tomas

Modern deep neural networks (DNNs) often require high memory consumption and large computational loads. In order to deploy DNN algorithms efficiently on edge or mobile devices, a series of DNN compression algorithms have been explored,…

Machine Learning · Computer Science 2020-04-21 Huanrui Yang , Minxue Tang , Wei Wen , Feng Yan , Daniel Hu , Ang Li , Hai Li , Yiran Chen

While multilevel Monte Carlo (MLMC) methods for the numerical approximation of partial differential equations with random coefficients enjoy great popularity, combinations with spatial adaptivity seem to be rare. We present an adaptive MLMC…

Numerical Analysis · Mathematics 2017-12-20 Ralf Kornhuber , Evgenia Youett

Deep Learning (DL) , a variant of the neural network algorithms originally proposed in the 1980s, has made surprising progress in Artificial Intelligence (AI), ranging from language translation, protein folding, autonomous cars, and more…

Artificial Intelligence · Computer Science 2023-07-24 Stephen Josè Hanson , Vivek Yadav , Catherine Hanson
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