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Statistical learning in high-dimensional spaces is challenging without a strong underlying data structure. Recent advances with foundational models suggest that text and image data contain such hidden structures, which help mitigate the…

机器学习 · 统计学 2025-02-04 Charles Arnal , Clement Berenfeld , Simon Rosenberg , Vivien Cabannes

Deep learning is the backbone of artificial intelligence technologies, and it can be regarded as a kind of multilayer feedforward neural network. An essence of deep learning is information propagation through layers. This suggests that…

神经与进化计算 · 计算机科学 2021-04-02 Genki Furuhata , Tomoaki Niiyama , Satoshi Sunada

Machine learning techniques are essential tools to compute efficient, yet accurate, force fields for atomistic simulations. This approach has recently been extended to incorporate quantum computational methods, making use of variational…

This paper integrates deep neural networks (DNNs) into structural economic models to increase flexibility and capture rich heterogeneity while preserving interpretability. Economic structure and machine learning are complements in empirical…

计量经济学 · 经济学 2025-04-28 Max H. Farrell , Tengyuan Liang , Sanjog Misra

In the design phase of an electrical machine, finite element (FE) simulation are commonly used to numerically optimize the performance. The output of the magneto-static FE simulation characterizes the electromagnetic behavior of the…

机器学习 · 计算机科学 2022-11-01 Vivek Parekh , Dominik Flore , Sebastian Schöps

In this paper we design and use two Deep Learning models to generate the ground and excited wavefunctions of different Hamiltonians suitable for the study the vibrations of molecular systems. The generated neural networks are trained with…

化学物理 · 物理学 2021-11-24 Laia Domingo , Florentino Borondo

While deep learning has shown tremendous success in a wide range of domains, it remains a grand challenge to incorporate physical principles in a systematic manner to the design, training, and inference of such models. In this paper, we aim…

计算物理 · 物理学 2020-06-16 Rui Wang , Karthik Kashinath , Mustafa Mustafa , Adrian Albert , Rose Yu

The Deep Material Network (DMN) has emerged as a powerful framework for multiscale materials modeling, enabling efficient and accurate prediction of material behavior across different length scales. Unlike conventional data-driven…

计算工程、金融与科学 · 计算机科学 2026-03-23 Ting-Ju Wei , Wen-Ning Wan , Chuin-Shan Chen

Solving partial differential equations (PDEs) is an important yet challenging task in fluid mechanics. In this study, we embed an improved Fourier series into neural networks and propose a physics-informed Fourier basis neural network…

流体动力学 · 物理学 2025-08-05 Chao Wang , Shilong Li , Zelong Yuan , Chunyu Guo

Many-body physics of electron-electron correlations plays a central role in condensed mater physics, it governs a wide range of phenomena, stretching from superconductivity to magnetism, and is behind numerous technological applications. To…

介观与纳米尺度物理 · 物理学 2023-06-09 Anupam Bhattacharya , Ivan Timokhin , Ratnamala Chatterjee , Qian Yang , Artem Mishchenko

As deep learning becomes more prevalent for prediction and control of real physical systems, it is important that these overparameterized models are consistent with physically plausible dynamics. This elicits a problem with how much…

机器学习 · 计算机科学 2021-06-08 Aaron Havens , Girish Chowdhary

In the pursuit of accurate experimental and computational data while minimizing effort, there is a constant need for high-fidelity results. However, achieving such results often requires significant computational resources. To address this…

机器学习 · 计算机科学 2023-11-08 Amirhossein Mollaali , Izzet Sahin , Iqrar Raza , Christian Moya , Guillermo Paniagua , Guang Lin

The order/dimension of models derived on the basis of data is commonly restricted by the number of observations, or in the context of monitored systems, sensing nodes. This is particularly true for structural systems (e.g., civil or…

机器学习 · 计算机科学 2022-12-01 Zhilu Lai , Wei Liu , Xudong Jian , Kiran Bacsa , Limin Sun , Eleni Chatzi

The electronic structure of solids can routinely be calculated by standard methods like density functional theory. However, in complicated situations like interfaces, grain boundaries or contact geometries one needs to resort to more…

材料科学 · 物理学 2025-11-18 Henrik Dick , Thomas Dahm

The notion of a Brain-Computer Interface system is the acquisition of signals from the brain, processing them, and translating them into commands. The study concentrated on a specific sort of brain signal known as Motor Imagery EEG signals,…

神经元与认知 · 定量生物学 2023-08-22 Vimal W , Akshansh Gupta

With the growth of computational resources, the scope of electronic structure simulations has increased greatly. Artificial intelligence and robust data analysis hold the promise to accelerate large-scale simulations and their analysis to…

材料科学 · 物理学 2023-07-27 Lenz Fiedler , Karan Shah , Michael Bussmann , Attila Cangi

Despite the successful implementations of physics-informed neural networks in different scientific domains, it has been shown that for complex nonlinear systems, achieving an accurate model requires extensive hyperparameter tuning, network…

计算工程、金融与科学 · 计算机科学 2022-11-30 Milad Ramezankhani , Amir Nazemi , Apurva Narayan , Heinz Voggenreiter , Mehrtash Harandi , Rudolf Seethaler , Abbas S. Milani

Deep neural networks can struggle to learn continually in the face of non-stationarity. This phenomenon is known as loss of plasticity. In this paper, we identify underlying principles that lead to plastic algorithms. In particular, we…

机器学习 · 计算机科学 2024-10-29 Alex Lewandowski , Dale Schuurmans , Marlos C. Machado

Simulation of mesoscopic nanostructures is a central challenge in condensed matter physics and device applications. First-principles methods provide accurate electronic structures but are computationally prohibitive for large systems, while…

材料科学 · 物理学 2025-10-03 Guan-Hao Peng , Chin-Jui Huang , Wen-Teng Yang , Shun-Jen Cheng

Micro-Electro-Mechanical-Systems are complex structures, often involving nonlinearites of geometric and multiphysics nature, that are used as sensors and actuators in countless applications. Starting from full-order representations, we…

动力系统 · 数学 2023-04-04 Giorgio Gobat , Stefania Fresca , Andrea Manzoni , Attilio Frangi