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Fourier neural operators (FNOs) have recently been proposed as an effective framework for learning operators that map between infinite-dimensional spaces. We prove that FNOs are universal, in the sense that they can approximate any…

Numerical Analysis · Mathematics 2021-12-21 Nikola Kovachki , Samuel Lanthaler , Siddhartha Mishra

Rapid progress in deep learning is leading to a diverse set of quickly changing models, with a dramatically growing demand for compute. However, as frameworks specialize performance optimization to patterns in popular networks, they…

Machine Learning · Computer Science 2022-08-31 Oliver Rausch , Tal Ben-Nun , Nikoli Dryden , Andrei Ivanov , Shigang Li , Torsten Hoefler

Hardware accelerations of deep learning systems have been extensively investigated in industry and academia. The aim of this paper is to achieve ultra-high energy efficiency and performance for hardware implementations of deep neural…

Machine Learning · Computer Science 2018-02-20 Yanzhi Wang , Caiwen Ding , Zhe Li , Geng Yuan , Siyu Liao , Xiaolong Ma , Bo Yuan , Xuehai Qian , Jian Tang , Qinru Qiu , Xue Lin

There has been a considerable interest in constrained training of deep neural networks (DNNs) recently for applications such as fairness and safety. Several toolkits have been proposed for this task, yet there is still no industry standard.…

Machine Learning · Computer Science 2025-09-26 Andrii Kliachkin , Jana Lepšová , Gilles Bareilles , Jakub Mareček

Neuromorphic systems require user-friendly software to support the design and optimization of experiments. In this work, we address this need by presenting our development of a machine learning-based modeling framework for the BrainScaleS-2…

Neural and Evolutionary Computing · Computer Science 2022-12-26 Philipp Spilger , Elias Arnold , Luca Blessing , Christian Mauch , Christian Pehle , Eric Müller , Johannes Schemmel

There is a need for open-source libraries in emission tomography that (i) use modern and popular backend code to encourage community contributions and (ii) offer support for the multitude of reconstruction techniques available in recent…

We present Theseus, an efficient application-agnostic open source library for differentiable nonlinear least squares (DNLS) optimization built on PyTorch, providing a common framework for end-to-end structured learning in robotics and…

Neural operator architectures approximate operators between infinite-dimensional Banach spaces of functions. They are gaining increased attention in computational science and engineering, due to their potential both to accelerate…

Numerical Analysis · Mathematics 2024-06-18 Samuel Lanthaler , Zongyi Li , Andrew M. Stuart

Hyperparameter optimization (HPO) is of paramount importance in the development of high-performance, specialized artificial intelligence (AI) models, ranging from well-established machine learning (ML) solutions to the deep learning (DL)…

Neural and Evolutionary Computing · Computer Science 2025-10-21 Vittorio Fra

We introduce PyTorch Geometric, a library for deep learning on irregularly structured input data such as graphs, point clouds and manifolds, built upon PyTorch. In addition to general graph data structures and processing methods, it…

Machine Learning · Computer Science 2019-04-26 Matthias Fey , Jan Eric Lenssen

Neural operators generalize classical neural networks to maps between infinite-dimensional spaces, e.g., function spaces. Prior works on neural operators proposed a series of novel methods to learn such maps and demonstrated unprecedented…

Machine Learning · Computer Science 2023-05-08 Md Ashiqur Rahman , Zachary E. Ross , Kamyar Azizzadenesheli

Motivated by the growing demand for low-precision arithmetic in computational science, we exploit lower-precision emulation in Python -- widely regarded as the dominant programming language for numerical analysis and machine learning.…

Machine Learning · Computer Science 2026-02-26 Erin Carson , Xinye Chen

This work aims to assess the state of the art of data parallel deep neural network training, trying to identify potential research tracks to be exploited for performance improvement. Beside, it presents a design for a practical C++ library…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-06-26 Paolo Viviani , Maurizio Drocco , Marco Aldinucci

While existing work on neural architecture search (NAS) tunes hyperparameters in a separate post-processing step, we demonstrate that architectural choices and other hyperparameter settings interact in a way that can render this separation…

Machine Learning · Computer Science 2018-07-19 Arber Zela , Aaron Klein , Stefan Falkner , Frank Hutter

The KeOps library provides a fast and memory-efficient GPU support for tensors whose entries are given by a mathematical formula, such as kernel and distance matrices. KeOps alleviates the major bottleneck of tensor-centric libraries for…

Machine Learning · Computer Science 2021-04-10 Benjamin Charlier , Jean Feydy , Joan Alexis Glaunès , François-David Collin , Ghislain Durif

We present a library of efficient implementations of deep learning primitives. Deep learning workloads are computationally intensive, and optimizing their kernels is difficult and time-consuming. As parallel architectures evolve, kernels…

Neural and Evolutionary Computing · Computer Science 2014-12-19 Sharan Chetlur , Cliff Woolley , Philippe Vandermersch , Jonathan Cohen , John Tran , Bryan Catanzaro , Evan Shelhamer

Deep learning in hyperbolic space is quickly gaining traction in the fields of machine learning, multimedia, and computer vision. Deep networks commonly operate in Euclidean space, implicitly assuming that data lies on regular grids. Recent…

Machine Learning · Computer Science 2023-12-20 Max van Spengler , Philipp Wirth , Pascal Mettes

The significant success of Deep Neural Networks (DNNs) is highly promoted by the multiple sophisticated DNN libraries. On the contrary, although some work have proved that Quadratic Deep Neuron Networks (QDNNs) show better non-linearity and…

Machine Learning · Computer Science 2022-04-06 Zirui Xu , Fuxun Yu , Jinjun Xiong , Xiang Chen

As deep learning models continue to increase in size, the memory requirements for training have surged. While high-level techniques like offloading, recomputation, and compression can alleviate memory pressure, they also introduce…

Machine Learning · Computer Science 2023-10-31 Huiyao Shu , Ang Wang , Ziji Shi , Hanyu Zhao , Yong Li , Lu Lu

Neural Networks are notoriously difficult to inspect. We introduce comgra, an open source python library for use with PyTorch. Comgra extracts data about the internal activations of a model and organizes it in a GUI (graphical user…

Machine Learning · Computer Science 2024-08-01 Florian Dietz , Sophie Fellenz , Dietrich Klakow , Marius Kloft
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