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We present a methodology combining neural networks with physical principle constraints in the form of partial differential equations (PDEs). The approach allows to train neural networks while respecting the PDEs as a strong constraint in…

数值分析 · 数学 2021-09-06 Sebastian K. Mitusch , Simon W. Funke , Miroslav Kuchta

The potential of neural networks (NN) in engineering is rooted in their capacity to understand intricate patterns and complex systems, leveraging their universal nonlinear approximation capabilities and high expressivity. Meanwhile,…

计算工程、金融与科学 · 计算机科学 2025-01-23 Mohammed Abda , Elsa Piollet , Christopher Blake , Frédérick P. Gosselin

Physics-Informed Neural Networks (PINNs) seek to solve partial differential equations (PDEs) with deep learning. Mainstream approaches that deploy fully-connected multi-layer deep learning architectures require prolonged training to achieve…

机器学习 · 计算机科学 2025-12-16 Shaghayegh Fazliani , Zachary Frangella , Madeleine Udell

We adopt convolutional neural networks (CNN) to predict the basic properties of the porous media. Two different media types are considered: one mimics the sand packings, and the other mimics the systems derived from the extracellular space…

计算物理 · 物理学 2023-06-21 Krzysztof M. Graczyk , Dawid Strzelczyk , Maciej Matyka

The recent success of Deep Neural Networks (DNNs) has drastically improved the state of the art for many application domains. While achieving high accuracy performance, deploying state-of-the-art DNNs is a challenge since they typically…

神经与进化计算 · 计算机科学 2018-01-24 Hokchhay Tann , Soheil Hashemi , Sherief Reda

The relentless expansion of deep learning applications in recent years has prompted a pivotal shift toward on-device execution, driven by the urgent need for real-time processing, heightened privacy concerns, and reduced latency across…

机器学习 · 计算机科学 2024-09-05 Ioannis Panopoulos , Stylianos I. Venieris , Iakovos S. Venieris

We extend the FE-DMN method to fully coupled thermomechanical two-scale simulations of composite materials. In particular, every Gauss point of the macroscopic finite element model is equipped with a deep material network (DMN). Such a DMN…

计算工程、金融与科学 · 计算机科学 2021-11-30 Sebastian Gajek , Matti Schneider , Thomas Böhlke

Concrete heterogeneity originates from its production process, which involves bonding aggregates with a binder matrix. This study presents a mesoscale finite element model (MFEM) that offers detailed insights into the fracture process at…

材料科学 · 物理学 2025-09-17 Jan Mašek , Petr Miarka

We introduce a compositional physics-aware FInite volume Neural Network (FINN) for learning spatiotemporal advection-diffusion processes. FINN implements a new way of combining the learning abilities of artificial neural networks with…

Mainstream video analytics uses a pre-trained DNN model with an assumption that inference input and training data follow the same probability distribution. However, this assumption does not always hold in the wild: autonomous vehicles may…

计算机视觉与模式识别 · 计算机科学 2020-03-16 Xiufeng Xie , Kyu-Han Kim

Machine learning with deep neural networks (DNNs) has become one of the foundation techniques in many safety-critical systems, such as autonomous vehicles and medical diagnosis systems. DNN-based systems, however, are known to be vulnerable…

密码学与安全 · 计算机科学 2022-01-25 Yijun Yang , Ruiyuan Gao , Yu Li , Qiuxia Lai , Qiang Xu

We introduce a methodology for designing and training deep neural networks (DNN) that we call "Deep Regression Ensembles" (DRE). It bridges the gap between DNN and two-layer neural networks trained with random feature regression. Each layer…

机器学习 · 统计学 2022-03-11 Antoine Didisheim , Bryan Kelly , Semyon Malamud

Homogenization is a technique commonly used in multiscale computational science and engineering for predicting collective response of heterogeneous materials and extracting effective mechanical properties. In this paper, a three-dimensional…

计算工程、金融与科学 · 计算机科学 2020-02-19 Chengping Rao , Yang Liu

Graph neural networks (GNNs) provide powerful insights for brain neuroimaging technology from the view of graphical networks. However, most existing GNN-based models assume that the neuroimaging-produced brain connectome network is a…

机器学习 · 计算机科学 2022-09-30 Gen Shi , Yifan Zhu , Wenjin Liu , Quanming Yao , Xuesong Li

Training dense LLMs requires enormous amounts of data and centralized compute, which introduces fundamental bottlenecks and ever-growing costs for large models. Several studies aim to reduce this dependency on centralization by reducing the…

机器学习 · 计算机科学 2025-02-27 Oğuzhan Ersoy , Jari Kolehmainen , Gabriel Passamani Andrade

Advancements in deep learning and machine learning have improved the ability to model complex, nonlinear relationships, such as those encountered in complex material inverse problems. However, the effectiveness of these methods often…

机器学习 · 计算机科学 2025-04-10 Qinyi Tian , Winston Lindqwister , Manolis Veveakis , Laura E. Dalton

Traditional entropy-based methods - such as cross-entropy loss in classification problems - have long been essential tools for representing the information uncertainty and physical disorder in data and for developing artificial intelligence…

机器学习 · 计算机科学 2026-01-06 Shun Wang , Shun-Li Shang , Zi-Kui Liu , Wenrui Hao

While federated learning leverages distributed client resources, it faces challenges due to heterogeneous client capabilities. This necessitates allocating models suited to clients' resources and careful parameter aggregation to accommodate…

机器学习 · 计算机科学 2024-10-04 Yujin Shin , Kichang Lee , Sungmin Lee , You Rim Choi , Hyung-Sin Kim , JeongGil Ko

The rising computational and energy demands of deep learning, particularly in large-scale architectures such as foundation models and large language models (LLMs), pose significant challenges to sustainability. Traditional gradient-based…

机器学习 · 计算机科学 2025-09-19 Mohammad Saleh Vahdatpour , Huaiyuan Chu , Yanqing Zhang

Generative design problems often encompass complex action spaces that may be divergent over time, contain state-dependent constraints, or involve hybrid (discrete and continuous) domains. To address those challenges, this work introduces…

人工智能 · 计算机科学 2021-10-14 Ayush Raina , Jonathan Cagan , Christopher McComb