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Fully connected multilayer perceptrons are used for obtaining numerical solutions of partial differential equations in various dimensions. Independent variables are fed into the input layer, and the output is considered as solution's value.…

神经与进化计算 · 计算机科学 2020-01-28 V. I. Avrutskiy

We present a novel interpretable machine learning model to accurately predict complex rippling deformations of Multi-Walled Carbon Nanotubes(MWCNTs) made of millions of atoms. Atomistic-physics-based models are accurate but computationally…

计算物理 · 物理学 2021-01-20 Upendra yadav , Shashank Pathrudkar , Susanta Ghosh

Quantum state tomography is a daunting challenge of experimental quantum computing even in moderate system size. One way to boost the efficiency of state tomography is via local measurements on reduced density matrices, but the…

量子物理 · 物理学 2019-12-03 Tao Xin , Sirui Lu , Ningping Cao , Galit Anikeeva , Dawei Lu , Jun Li , Guilu Long , Bei Zeng

We propose a neural network-based meta-learning method to efficiently solve partial differential equation (PDE) problems. The proposed method is designed to meta-learn how to solve a wide variety of PDE problems, and uses the knowledge for…

机器学习 · 统计学 2023-10-23 Tomoharu Iwata , Yusuke Tanaka , Naonori Ueda

A simple single folding model for $\Omega$-deuteron with maximal spin $\left(I\right)J^{P}=\left(0\right)5/2^{+}$ is investigated. $\Omega$ is assumed to orbit an unperturbed deuteron in a $\Omega$-deuteron potential based on a separable…

核理论 · 物理学 2021-12-14 Faisal Etminan , Mohammad Mehdi Firoozabadi

Effective properties of materials with random heterogeneous structures are typically determined by homogenising the mechanical quantity of interest in a window of observation. The entire problem setting encompasses the solution of a local…

数值分析 · 数学 2021-10-22 Felipe Rocha , Simone Deparis , Pablo Antolin , Annalisa Buffa

We evaluate the energy levels of the deuteronium bound system, which consists of a deuteron and an antideuteron, with a special emphasis on states with nonvanishing orbital angular momenta. The excited atomic bound states of deuteronium…

高能物理 - 唯象学 · 物理学 2025-12-18 G. S. Adkins , U. D. Jentschura

We present a method of studying few-body nuclear scattering by means of neural quantum states, without requiring time-evolution. A recently developed family of stable minimum principles for Schrodinger's equation provides conservative…

核理论 · 物理学 2026-05-29 Scott Lawrence , Yukari Yamauchi

Machine learning representations of many-body quantum states have recently been introduced as an ansatz to describe the ground states and unitary evolutions of many-body quantum systems. We explore one of the most important representations,…

量子物理 · 物理学 2019-01-10 Zhih-Ahn Jia , Yuan-Hang Zhang , Yu-Chun Wu , Liang Kong , Guang-Can Guo , Guo-Ping Guo

We present a Machine Learning approach to solve electronic quantum transport equations of one-dimensional nanostructures. The transmission coefficients of disordered systems were computed to provide training and test datasets to the…

介观与纳米尺度物理 · 物理学 2015-06-18 Alejandro Lopez-Bezanilla , O. Anatole von Lilienfeld

Machine learning approaches have recently been applied to the study of various problems in physics. Most of the studies are focused on interpreting the data generated by conventional numerical methods or an existing database. An interesting…

强关联电子 · 物理学 2020-08-31 Nicholas Walker , Samuel Kellar , Yi Zhang , Ka-Ming Tam

Many phenomena in physics, including light, water waves, and sound, are described by wave equations. Given their coefficients, wave equations can be solved to high accuracy, but the presence of the wavelength scale often leads to large…

计算物理 · 物理学 2025-02-19 Timo Gahlmann , Philippe Tassin

We propose a tensor network encoding the set of all eigenstates of a fully many-body localized system in one dimension. Our construction, conceptually based on the ansatz introduced in Phys. Rev. B 94, 041116(R) (2016), is built from two…

无序系统与神经网络 · 物理学 2017-05-17 Thorsten B. Wahl , Arijeet Pal , Steven H. Simon

This paper presents a deep learning-based de-homogenization method for structural compliance minimization. By using a convolutional neural network to parameterize the mapping from a set of lamination parameters on a coarse mesh to a…

机器学习 · 计算机科学 2021-11-03 Martin O. Elingaard , Niels Aage , J. Andreas Bærentzen , Ole Sigmund

Preparation of a target quantum many-body state on quantum simulators is one of the significant steps in quantum science and technology. With a small number of qubits, a few quantum states, such as the Greenberger-Horne-Zeilinger state,…

量子物理 · 物理学 2023-07-28 Donggyu Kim , Eun-Gook Moon

We introduce Neural Tensor Network States ($\nu$TNS), a variational many-body wave-function ansatz that integrates deep neural networks with tensor-network architectures. In the $\nu$TNS framework, a neural network serves as a disentangler…

强关联电子 · 物理学 2026-03-17 Chaohui Fan , Bo Zhan , Yuntian Gu , Tong Liu , Yantao Wu , Mingpu Qin , Dingshun Lv , Tao Xiang

Deep learning has received much attention lately due to the impressive empirical performance achieved by training algorithms. Consequently, a need for a better theoretical understanding of these problems has become more evident in recent…

机器学习 · 计算机科学 2022-03-03 Daniel Bienstock , Gonzalo Muñoz , Sebastian Pokutta

Object Skeletonization is the process of extracting skeletal, line-like representations of shapes. It provides a very useful tool for geometric shape understanding and minimal shape representation. It also has a wide variety of…

计算机视觉与模式识别 · 计算机科学 2021-12-23 Mohamed A. Ghanem , Alaa A. Anani

We conduct experimental simulations of many body quantum systems using a \emph{hybrid} classical-quantum algorithm. In our setup, the wave function of the transverse field quantum Ising model is represented by a restricted Boltzmann…

量子物理 · 物理学 2018-12-05 Bartłomiej Gardas , Marek M. Rams , Jacek Dziarmaga

We analyze the properties of deuteron-like structures in infinite, correlated nuclear matter, described by a realistic hamiltonian containing the Urbana $v_{14}$ two-nucleon and the Urbana TNI many-body potentials. The distribution of…

核理论 · 物理学 2009-11-07 O. Benhar , A. Fabrocini , S. Fantoni , A. Yu. Illarionov , G. I. Lykasov