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We present NeuralOperator, an open-source Python library for operator learning. Neural operators generalize neural networks to maps between function spaces instead of finite-dimensional Euclidean spaces. They can be trained and inferenced…

Tuning hyperparameters for machine learning algorithms is a tedious task, one that is typically done manually. To enable automated hyperparameter tuning, recent works have started to use techniques based on Bayesian optimization. However,…

Machine Learning · Computer Science 2020-05-26 Sandeep Singh Sandha , Mohit Aggarwal , Igor Fedorov , Mani Srivastava

We introduce PyTorch Geometric High Order (PyGHO), a library for High Order Graph Neural Networks (HOGNNs) that extends PyTorch Geometric (PyG). Unlike ordinary Message Passing Neural Networks (MPNNs) that exchange messages between nodes,…

Machine Learning · Computer Science 2023-11-29 Xiyuan Wang , Muhan Zhang

Deep learning has had remarkable success in robotic perception, but its data-centric nature suffers when it comes to generalizing to ever-changing environments. By contrast, physics-based optimization generalizes better, but it does not…

Deep learning algorithms have made many breakthroughs and have various applications in real life. Computational resources become a bottleneck as the data and complexity of the deep learning pipeline increases. In this paper, we propose…

Machine Learning · Computer Science 2021-05-05 Salman Ahmed , Hammad Naveed

The field of neuromorphic computing is in a period of active exploration. While many tools have been developed to simulate neuronal dynamics or convert deep networks to spiking models, general software libraries for learning rules remain…

Machine Learning · Computer Science 2021-08-17 Zixuan Zhao , Nathan Wycoff , Neil Getty , Rick Stevens , Fangfang Xia

In spite of showing unreasonable effectiveness in modalities like Text and Image, Deep Learning has always lagged Gradient Boosting in tabular data - both in popularity and performance. But recently there have been newer models created…

Machine Learning · Computer Science 2021-04-29 Manu Joseph

As Graph Neural Networks (GNNs) become popular, libraries like PyTorch-Geometric (PyG) and Deep Graph Library (DGL) are proposed; these libraries have emerged as the de facto standard for implementing GNNs because they provide…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-29 Yi-Chien Lin , Yuyang Chen , Sameh Gobriel , Nilesh Jain , Gopi Krishna Jha , Viktor Prasanna

Neural networks used in computations with more advanced algebras than real numbers perform better in some applications. However, there is no general framework for constructing hypercomplex neural networks. We propose a library integrated…

Machine Learning · Computer Science 2025-05-26 Agnieszka Niemczynowicz , Radosław Antoni Kycia

The transformer is the most critical algorithm innovation of the Nature Language Processing (NLP) field in recent years. Unlike the Recurrent Neural Network (RNN) models, Transformers can process on dimensions of sequence lengths in…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-23 Jiarui Fang , Yang Yu , Chengduo Zhao , Jie Zhou

Neural operators (NOs) are designed to learn maps between infinite-dimensional function spaces. We propose a novel reframing of their use. By introducing an auxiliary base-space, any finite-dimensional function can be viewed as an operator…

Machine Learning · Computer Science 2026-05-11 Vasilis Niarchos , Angelos Sirbu , Sokratis Trifinopoulos

Fourier neural operators (FNOs) are a recently introduced neural network architecture for learning solution operators of partial differential equations (PDEs), which have been shown to perform significantly better than comparable deep…

Linear operators and optimisation are at the core of many algorithms used in signal and image processing, remote sensing, and inverse problems. For small to medium-scale problems, existing software packages (e.g., MATLAB, Python numpy and…

Mathematical Software · Computer Science 2019-07-30 Matteo Ravasi , Ivan Vasconcelos

This paper introduces the Kernel Neural Operator (KNO), a provably convergent operator-learning architecture that utilizes compositions of deep kernel-based integral operators for function-space approximation of operators (maps from…

Machine Learning · Computer Science 2026-05-06 Matthew Lowery , John Turnage , Zachary Morrow , John D. Jakeman , Akil Narayan , Shandian Zhe , Varun Shankar

Core computations in Graph Neural Network (GNN) training and inference are often mapped to sparse matrix operations such as sparse-dense matrix multiplication (SpMM). These sparse operations are harder to optimize by manual tuning because…

Machine Learning · Computer Science 2024-03-25 Md Saidul Hoque Anik , Pranav Badhe , Rohit Gampa , Ariful Azad

Multiobjective optimization problems (MOPs) are prevalent in machine learning, with applications in multi-task learning, learning under fairness or robustness constraints, etc. Instead of reducing multiple objective functions into a scalar…

Mathematical Software · Computer Science 2024-10-14 Xiaoyuan Zhang , Liang Zhao , Yingying Yu , Xi Lin , Yifan Chen , Han Zhao , Qingfu Zhang

jNO (jax Neural Operators) is a JAX-native library for neural operators and foundation models with unified support for both data-driven and physics-informed training. Its core design is a tracing system in which domains, model calls,…

Machine Learning · Computer Science 2026-05-12 Leon Armbruster , Rathan Ramesh , Georg Kruse , Christopher Straub

NORD (Neural Operations Research & Development) is an open source distributed deep learning architectural research framework, based on PyTorch, MPI and Horovod. It aims to make research of deep architectures easier for experts of different…

Neural and Evolutionary Computing · Computer Science 2018-10-23 George Kyriakides , Konstantinos Margaritis

Deep learning frameworks have often focused on either usability or speed, but not both. PyTorch is a machine learning library that shows that these two goals are in fact compatible: it provides an imperative and Pythonic programming style…

We present PyTorch Geometric Temporal a deep learning framework combining state-of-the-art machine learning algorithms for neural spatiotemporal signal processing. The main goal of the library is to make temporal geometric deep learning…

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