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Reduced numerical precision is a common technique to reduce computational cost in many Deep Neural Networks (DNNs). While it has been observed that DNNs are resilient to small errors and noise, no general result exists that is capable of…

Machine Learning · Statistics 2018-05-04 Zhaoqi Li , Yu Ma , Catalina Vajiac , Yunkai Zhang

Finding a high-quality feasible solution to a combinatorial optimization (CO) problem in a limited time is challenging due to its discrete nature. Recently, there has been an increasing number of machine learning (ML) methods for addressing…

Optimization and Control · Mathematics 2023-08-02 Taehyun Yoon , Jinwon Choi , Hyokun Yun , Sungbin Lim

This work introduces a neural operator based surrogate modeling framework for neutron transport computation. Two architectures, the Deep Operator Network (DeepONet) and the Fourier Neural Operator (FNO), were trained for fixed source…

Computational Physics · Physics 2026-02-19 Md Hossain Sahadath , Qiyun Cheng , Shaowu Pan , Wei Ji

The predictive accuracy of operator learning frameworks depends on the quality and quantity of available training data (input-output function pairs), often requiring substantial amounts of high-fidelity data, which can be challenging to…

Machine Learning · Computer Science 2025-10-29 Sumanta Roy , Bahador Bahmani , Ioannis G. Kevrekidis , Michael D. Shields

Magnetotelluric (MT) forward modeling is fundamental for improving the accuracy and efficiency of MT inversion. Neural operators (NOs) have been effectively used for rapid MT forward modeling, demonstrating their promising performance in…

Geophysics · Physics 2025-07-10 Feng Wang , Hong Qiu , Yingying Huang , Xiaozhe Gu , Renfang Wang , Bo Yang

Reducing the computational time required by high-fidelity, full order models (FOMs) for the solution of problems in cardiac mechanics is crucial to allow the translation of patient-specific simulations into clinical practice. While FOMs,…

Numerical Analysis · Mathematics 2022-02-09 Ludovica Cicci , Stefania Fresca , Andrea Manzoni , Alfio Quarteroni

In this work, we introduce a planning neural operator (PNO) for predicting the value function of a motion planning problem. We recast value function approximation as learning a single operator from the cost function space to the value…

Robotics · Computer Science 2025-05-28 Sharath Matada , Luke Bhan , Yuanyuan Shi , Nikolay Atanasov

Due to the nonlinear nature of Deep Neural Networks (DNNs), one can not guarantee convergence to a unique global minimum of the loss when using optimizers relying only on local information, such as SGD. Indeed, this was a primary source of…

Imitation learning considerably simplifies policy synthesis compared to alternative approaches by exploiting access to expert demonstrations. For such imitation policies, errors away from the training samples are particularly critical. Even…

Machine Learning · Computer Science 2024-03-19 Kaustubh Sridhar , Souradeep Dutta , Dinesh Jayaraman , James Weimer , Insup Lee

This paper explores the combination of neural network quantization and entropy coding for memory footprint minimization. Edge deployment of quantized models is hampered by the harsh Pareto frontier of the accuracy-to-bitwidth tradeoff,…

Machine Learning · Computer Science 2024-06-11 C. Metz , O. Bichler , A. Dupret

Solving multi-objective optimization problems for large deep neural networks is a challenging task due to the complexity of the loss landscape and the expensive computational cost of training and evaluating models. Efficient Pareto front…

Machine Learning · Computer Science 2024-06-17 Anke Tang , Li Shen , Yong Luo , Shiwei Liu , Han Hu , Bo Du

Mixture-of-Experts (MoE) model architectures can significantly reduce the number of activated parameters per token, enabling computationally efficient training and inference. However, their large overall parameter counts and model sizes…

Machine Learning · Computer Science 2026-02-13 Arian Raje , Anupam Nayak , Gauri Joshi

Efficient onboard multi-field sparse reconstruction is essential for the autonomous operation of aerospace vehicles. While existing deep learning models exhibit promise for single-field reconstruction, deploying multiple independent models…

Machine Learning · Computer Science 2026-05-27 Siyu Ye , Shihang Li , Zhiqiang Gong , Benrong Zhang , Weien Zhou , Yiyong Huang , Wen Yao

Learning maps between function spaces with a strong inductive bias is a central challenge in soft computing, especially when training data are scarce and standard deep architectures overfit. We introduce a \emph{neural integral operator}…

Machine Learning · Computer Science 2026-05-26 Emanuele Zappala , Alice Giola , Andreas Kramer , Saugat Acharya , Enrico Greco

Emerging deep learning workloads urgently need fast general matrix multiplication (GEMM). To meet such demand, one of the critical features of machine-learning-specific accelerators such as NVIDIA Tensor Cores, AMD Matrix Cores, and Google…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-13 Bo Fang , Xinyi Li , Harvey Dam , Cheng Tan , Siva Kumar Sastry Hari , Timothy Tsai , Ignacio Laguna , Dingwen Tao , Ganesh Gopalakrishnan , Prashant Nair , Kevin Barker , Ang Li

Machine learning algorithms, especially Neural Networks (NNs), are a valuable tool used to approximate non-linear relationships, like the AC-Optimal Power Flow (AC-OPF), with considerable accuracy -- and achieving a speedup of several…

Machine Learning · Computer Science 2023-03-24 Rahul Nellikkath , Spyros Chatzivasileiadis

Spiking Neural Networks (SNNs) offer a biologically plausible framework for energy-efficient neuromorphic computing. However, it is a challenge to train SNNs due to their non-differentiability, efficiently. Existing gradient approximation…

Computer Vision and Pattern Recognition · Computer Science 2025-08-04 Changqing Xu , Ziqiang Yang , Yi Liu , Xinfang Liao , Guiqi Mo , Hao Zeng , Yintang Yang

Neural operators are becoming the default tools to learn solutions to governing partial differential equations (PDEs) in weather and ocean forecasting applications. Despite early promising achievements, significant challenges remain,…

Machine Learning · Computer Science 2025-10-14 Vahidreza Jahanmard , Ali Ramezani-Kebrya , Robinson Hordoir

Analog computing has reemerged as a promising avenue for accelerating deep neural networks (DNNs) due to its potential to overcome the energy efficiency and scalability challenges posed by traditional digital architectures. However,…

Emerging Technologies · Computer Science 2024-06-17 Cansu Demirkiran , Lakshmi Nair , Darius Bunandar , Ajay Joshi

Operator learning is a recent development in the simulation of Partial Differential Equations (PDEs) by means of neural networks. The idea behind this approach is to learn the behavior of an operator, such that the resulting neural network…

Numerical Analysis · Mathematics 2025-01-15 Ahmed Abdeljawad , Thomas Dittrich
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