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Related papers: jNO: A JAX Library for Neural Operator and Foundat…

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Neural architecture search (NAS) and hyperparameter optimization (HPO) make deep learning accessible to non-experts by automatically finding the architecture of the deep neural network to use and tuning the hyperparameters of the used…

A common challenge with supervised machine learning (ML) in high energy physics (HEP) is the reliance on simulations for labeled data, which can often mismodel the underlying collision or detector response. To help mitigate this problem of…

High Energy Physics - Experiment · Physics 2025-11-14 Zichun Hao , Raghav Kansal , Abhijith Gandrakota , Chang Sun , Ngadiuba Jennifer , Javier Duarte , Maria Spiropulu

Fourier Neural Operators (FNOs) have emerged as leading surrogates for solver operators for various functional problems, yet their stability, generalization and frequency behavior lack a principled explanation. We present a systematic…

Machine Learning · Computer Science 2026-02-05 Taeyoung Kim

Mixed-precision training has emerged as an indispensable tool for enhancing the efficiency of neural network training in recent years. Concurrently, JAX has grown in popularity as a versatile machine learning toolbox. However, it currently…

Machine Learning · Computer Science 2025-10-28 Alexander Gräfe , Sebastian Trimpe

Modeling complex systems using standard neural ordinary differential equations (NODEs) often faces some essential challenges, including high computational costs and susceptibility to local optima. To address these challenges, we propose a…

Machine Learning · Computer Science 2024-05-24 Xin Li , Jingdong Zhang , Qunxi Zhu , Chengli Zhao , Xue Zhang , Xiaojun Duan , Wei Lin

GraphNeuralNetworks.jl is an open-source framework for deep learning on graphs, written in the Julia programming language. It supports multiple GPU backends, generic sparse or dense graph representations, and offers convenient interfaces…

Machine Learning · Computer Science 2024-12-10 Carlo Lucibello , Aurora Rossi

In scientific and engineering applications, solving partial differential equations (PDEs) across various parameters and domains normally relies on resource-intensive numerical methods. Neural operators based on deep learning offered a…

Numerical Analysis · Mathematics 2024-06-21 Zhiwei Zhao , Changqing Liu , Yingguang Li , Zhibin Chen , Xu Liu

Accurate and efficient solutions of spatiotemporal partial differential equations (PDEs), such as phase-field models, are fundamental for understanding interfacial dynamics and microstructural evolution in materials science and fluid…

Computational Physics · Physics 2026-02-19 Mostafa Bamdad , Mohammad Sadegh Eshaghi , Cosmin Anitescu , Navid Valizadeh , Timon Rabczuk

The Framework for Unified and Robust data Analysis with JAX (Furax) is an open-source Python framework for modeling data acquisition systems and solving inverse problems in astrophysics and cosmology. Built on JAX, Furax provides composable…

In this paper, we propose Neumann Series Neural Operator (NSNO) to learn the solution operator of Helmholtz equation from inhomogeneity coefficients and source terms to solutions. Helmholtz equation is a crucial partial differential…

Numerical Analysis · Mathematics 2024-01-25 Fukai Chen , Ziyang Liu , Guochang Lin , Junqing Chen , Zuoqiang Shi

Steering Large Language Models (LLMs) through activation interventions has emerged as a lightweight alternative to fine-tuning for alignment and personalization. Recent work on Bi-directional Preference Optimization (BiPO) shows that dense…

Artificial Intelligence · Computer Science 2026-01-14 Abdelaziz Bounhar , Rania Hossam Elmohamady Elbadry , Hadi Abdine , Preslav Nakov , Michalis Vazirgiannis , Guokan Shang

Elliptic partial differential equations (PDEs) are a major class of time-independent PDEs that play a key role in many scientific and engineering domains such as fluid dynamics, plasma physics, and solid mechanics. Recently, neural…

Machine Learning · Computer Science 2024-01-18 Haixin Wang , Jiaxin Li , Anubhav Dwivedi , Kentaro Hara , Tailin Wu

Operator learning has emerged as a powerful tool in scientific computing for approximating mappings between infinite-dimensional function spaces. A primary application of operator learning is the development of surrogate models for the…

Machine Learning · Statistics 2025-04-07 Unique Subedi , Ambuj Tewari

There has recently been increasing attention towards developing foundational neural Partial Differential Equation (PDE) solvers and neural operators through large-scale pretraining. However, unlike vision and language models that make use…

Machine Learning · Computer Science 2024-11-21 AmirPouya Hemmasian , Amir Barati Farimani

Translating neural networks from theory to clinical practice has unique challenges, specifically in the field of neuroimaging. In this paper, we present DeepNeuro, a deep learning framework that is best-suited to putting deep learning…

Computer Vision and Pattern Recognition · Computer Science 2018-08-15 Andrew Beers , James Brown , Ken Chang , Katharina Hoebel , Elizabeth Gerstner , Bruce Rosen , Jayashree Kalpathy-Cramer

The study of operator learning involves the utilization of neural networks to approximate operators. Traditionally, the focus has been on single-operator learning (SOL). However, recent advances have rapidly expanded this to include the…

Machine Learning · Computer Science 2024-04-09 Zecheng Zhang

This paper presents NEUROSPF, a tool for the symbolic analysis of neural networks. Given a trained neural network model, the tool extracts the architecture and model parameters and translates them into a Java representation that is amenable…

Machine Learning · Computer Science 2021-03-02 Muhammad Usman , Yannic Noller , Corina Pasareanu , Youcheng Sun , Divya Gopinath

This paper describes a new modelling language for the effective design of Java annotations. Since their inclusion in the 5th edition of Java, annotations have grown from a useful tool for the addition of meta-data to play a central role in…

Programming Languages · Computer Science 2019-10-02 Irene Córdoba , Juan de Lara

Neural operators can learn nonlinear mappings between function spaces and offer a new simulation paradigm for real-time prediction of complex dynamics for realistic diverse applications as well as for system identification in science and…

Computational Physics · Physics 2022-03-23 Lu Lu , Xuhui Meng , Shengze Cai , Zhiping Mao , Somdatta Goswami , Zhongqiang Zhang , George Em Karniadakis

NeMo (Neural Modules) is a Python framework-agnostic toolkit for creating AI applications through re-usability, abstraction, and composition. NeMo is built around neural modules, conceptual blocks of neural networks that take typed inputs…