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Deep neural operators can learn nonlinear mappings between infinite-dimensional function spaces via deep neural networks. As promising surrogate solvers of partial differential equations (PDEs) for real-time prediction, deep neural…

机器学习 · 计算机科学 2023-05-17 Min Zhu , Handi Zhang , Anran Jiao , George Em Karniadakis , Lu Lu

Foundation models, such as large language models, have demonstrated success in addressing various language and image processing tasks. In this work, we introduce a multi-modal foundation model for scientific problems, named PROSE-PDE. Our…

机器学习 · 计算机科学 2025-02-04 Jingmin Sun , Yuxuan Liu , Zecheng Zhang , Hayden Schaeffer

Foundation models are deep neural networks (such as GPT-5, Gemini~3, and Opus~4) trained on large datasets that can perform diverse downstream tasks -- text and code generation, question answering, summarization, image classification, and…

机器学习 · 计算机科学 2026-05-01 Logan G Wright , Tianyu Wang , Tatsuhiro Onodera , Peter L. McMahon

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

Inverse microstructure design plays a central role in materials discovery, yet remains challenging due to the complexity of structure-property linkages and the scarcity of labeled training data. We propose Design-GenNO, a physics-informed…

数学物理 · 物理学 2025-09-11 Yaohua Zang , Phaedon-Stelios Koutsourelakis

Recent advancements in operator-type neural networks have shown promising results in approximating the solutions of spatiotemporal Partial Differential Equations (PDEs). However, these neural networks often entail considerable training…

机器学习 · 计算机科学 2025-05-08 Shuhao Cao , Francesco Brarda , Ruipeng Li , Yuanzhe Xi

Artificial neural networks have been proposed as potential algorithms that could benefit from being implemented and run on quantum computers. In particular, they hold promise to greatly enhance Artificial Intelligence tasks, such as image…

Deep neural networks (DNNs) have been widely used to solve partial differential equations (PDEs) in recent years. In this work, a novel deep learning-based framework named Particle Weak-form based Neural Networks (ParticleWNN) is developed…

机器学习 · 计算机科学 2023-11-14 Yaohua Zang , Gang Bao

Neural Operators (NOs) have emerged as powerful tools for learning mappings between function spaces. Among them, the kernel integral operator has been widely used in universally approximating architectures. Following the original…

机器学习 · 计算机科学 2026-01-30 Haoze Song , Zhihao Li , Xiaobo Zhang , Zecheng Gan , Zhilu Lai , Wei Wang

The continual learning (CL) paradigm aims to enable neural networks to learn tasks continually in a sequential fashion. The fundamental challenge in this learning paradigm is catastrophic forgetting previously learned tasks when the model…

机器学习 · 计算机科学 2021-04-15 Ghada Sokar , Decebal Constantin Mocanu , Mykola Pechenizkiy

Attention mechanisms have emerged as transformative tools in core AI domains such as natural language processing and computer vision. Yet, their largely untapped potential for modeling intricate physical systems presents a compelling…

机器学习 · 计算机科学 2025-05-30 Ning Liu , Yue Yu

Neural ordinary differential equations (neural ODEs) have emerged as a novel network architecture that bridges dynamical systems and deep learning. However, the gradient obtained with the continuous adjoint method in the vanilla neural ODE…

机器学习 · 计算机科学 2023-06-12 Hong Zhang , Wenjun Zhao

Over the past few decades, underwater image enhancement has attracted increasing amount of research effort due to its significance in underwater robotics and ocean engineering. Research has evolved from implementing physics-based solutions…

计算机视觉与模式识别 · 计算机科学 2021-01-07 Ankita Naik , Apurva Swarnakar , Kartik Mittal

We present a machine learning approach for model-independent new physics searches. The corresponding algorithm is powered by recent large-scale implementations of kernel methods, nonparametric learning algorithms that can approximate any…

高能物理 - 唯象学 · 物理学 2022-10-17 Marco Letizia , Gianvito Losapio , Marco Rando , Gaia Grosso , Andrea Wulzer , Maurizio Pierini , Marco Zanetti , Lorenzo Rosasco

Fourier Neural Operators (FNOs) have emerged as promising surrogates for partial differential equation solvers. In this work, we extensively tested FNOs on a variety of systems with non-linear and non-stationary properties, using a wide…

计算工程、金融与科学 · 计算机科学 2025-11-13 Rad Haghi , Bipin Gaikwad , Abani Patra

Despite the growing interest in continual learning, most of its contemporary works have been studied in a rather restricted setting where tasks are clearly distinguishable, and task boundaries are known during training. However, if our goal…

机器学习 · 计算机科学 2020-01-16 Soochan Lee , Junsoo Ha , Dongsu Zhang , Gunhee Kim

Neural Processes (NPs) are meta-learning models that learn to map sets of observations to approximations of the corresponding posterior predictive distributions. By accommodating variable-sized, unstructured collections of observations and…

机器学习 · 计算机科学 2026-02-10 Peiman Mohseni , Nick Duffield

Nanowire networks (NWNs) represent a unique hardware platform for neuromorphic information processing. In addition to exhibiting synapse-like resistive switching memory at their cross-point junctions, their self-assembly confers a neural…

Modern autonomous systems are driving the critical need for next-generation adaptive materials and structures with embodied intelligence, i.e., the embodiment of memory, perception, learning, and decision-making within the mechanical…

应用物理 · 物理学 2025-11-18 Yuning Zhang , K. W. Wang

Neural network based data-driven operator learning schemes have shown tremendous potential in computational mechanics. DeepONet is one such neural network architecture which has gained widespread appreciation owing to its excellent…

机器学习 · 统计学 2022-06-14 Shailesh Garg , Souvik Chakraborty
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