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Physics-informed neural networks (PINNs) have recently emerged as promising data-driven PDE solvers showing encouraging results on various PDEs. However, there is a fundamental limitation of training PINNs to solve multi-dimensional PDEs…

机器学习 · 计算机科学 2023-11-01 Junwoo Cho , Seungtae Nam , Hyunmo Yang , Seok-Bae Yun , Youngjoon Hong , Eunbyung Park

Communication overhead severely hinders the scalability of distributed machine learning systems. Recently, there has been a growing interest in using gradient compression to reduce the communication overhead of the distributed training.…

分布式、并行与集群计算 · 计算机科学 2021-05-19 Yuchen Zhong , Cong Xie , Shuai Zheng , Haibin Lin

Recurrent spiking neural networks (RSNNs) can be implemented very efficiently in neuromorphic systems. Nevertheless, training of these models with powerful gradient-based learning algorithms is mostly performed on standard digital hardware…

神经与进化计算 · 计算机科学 2025-06-18 Maximilian Baronig , Yeganeh Bahariasl , Ozan Özdenizci , Robert Legenstein

In solving partial differential equations (PDEs), machine learning utilizing physical laws has received considerable attention owing to advantages such as mesh-free solutions, unsupervised learning, and feasibility for solving…

机器学习 · 计算机科学 2026-03-25 Tetsuro Tsuchino , Motoki Shiga

Scientific problems require resolving multi-scale phenomena across different resolutions and learning solution operators in infinite-dimensional function spaces. Neural operators provide a powerful framework for this, using…

We propose a method for approximating the contraction of a tensor network by partitioning the network into a sum of computationally cheaper networks. This method, which we call a partitioned network expansion (PNE), builds upon recent work…

量子物理 · 物理学 2025-12-12 Glen Evenbly , Johnnie Gray , Garnet Kin-Lic Chan

In this study, novel physics-informed neural network (PINN) methods for coupling neighboring support points and their derivative terms which are obtained by automatic differentiation (AD), are proposed to allow efficient training with…

机器学习 · 计算机科学 2022-12-16 Pao-Hsiung Chiu , Jian Cheng Wong , Chinchun Ooi , My Ha Dao , Yew-Soon Ong

Due to the substantial computational cost, training state-of-the-art deep neural networks for large-scale datasets often requires distributed training using multiple computation workers. However, by nature, workers need to frequently…

机器学习 · 计算机科学 2018-02-21 Yusuke Tsuzuku , Hiroto Imachi , Takuya Akiba

Back-propagation (BP) is widely used learning algorithm for neural network optimization. However, BP requires enormous computation cost and is too slow to train in central processing unit (CPU). Therefore current neural network optimizaiton…

机器学习 · 计算机科学 2023-08-22 Ryoungwoo Jang

The canonical deep learning approach for learning requires computing a gradient term at each block by back-propagating the error signal from the output towards each learnable parameter. Given the stacked structure of neural networks, where…

机器学习 · 计算机科学 2025-08-19 Qinyu Li , Yee Whye Teh , Razvan Pascanu

Recurrent neural networks (RNNs) have recently demonstrated strong performance and faster inference than Transformers at comparable parameter budgets. However, the recursive gradient computation with the backpropagation through time (or…

机器学习 · 计算机科学 2025-04-01 Paul Caillon , Erwan Fagnou , Alexandre Allauzen

As traditional neural network consumes a significant amount of computing resources during back propagation, \citet{Sun2017mePropSB} propose a simple yet effective technique to alleviate this problem. In this technique, only a small subset…

机器学习 · 计算机科学 2017-09-27 Bingzhen Wei , Xu Sun , Xuancheng Ren , Jingjing Xu

We propose a simple yet effective technique for neural network learning. The forward propagation is computed as usual. In back propagation, only a small subset of the full gradient is computed to update the model parameters. The gradient…

机器学习 · 计算机科学 2019-03-12 Xu Sun , Xuancheng Ren , Shuming Ma , Houfeng Wang

Physics-Informed Neural Networks (PINNs) have emerged as powerful tools for solving partial differential equations (PDEs). However, training PINNs from scratch is often computationally intensive and time-consuming. To address this problem,…

数值分析 · 数学 2024-10-21 Sidi Wu

Equilibrium Propagation (EP) is a biologically-inspired counterpart of Backpropagation Through Time (BPTT) which, owing to its strong theoretical guarantees and the locality in space of its learning rule, fosters the design of…

机器学习 · 计算机科学 2021-01-15 Axel Laborieux , Maxence Ernoult , Benjamin Scellier , Yoshua Bengio , Julie Grollier , Damien Querlioz

Training neural networks has traditionally relied on backpropagation (BP), a gradient-based algorithm that, despite its widespread success, suffers from key limitations in both biological and hardware perspectives. These include backward…

机器学习 · 计算机科学 2025-06-16 Nazmus Saadat As-Saquib , A N M Nafiz Abeer , Hung-Ta Chien , Byung-Jun Yoon , Suhas Kumar , Su-in Yi

Spiking neural networks (SNNs) can utilize spatio-temporal information and have a nature of energy efficiency which is a good alternative to deep neural networks(DNNs). The event-driven information processing makes SNNs can reduce the…

神经与进化计算 · 计算机科学 2021-12-15 Changqing Xu , Yi Liu , Yintang Yang

We propose a discretization-free approach based on the physics-informed neural network (PINN) method for solving coupled advection-dispersion and Darcy flow equations with space-dependent hydraulic conductivity. In this approach, the…

流体动力学 · 物理学 2021-08-11 QiZhi He , Alexandre M. Tartakovsky

Spiking neural networks (SNNs) are brain-inspired models that enable energy-efficient implementation on neuromorphic hardware. However, the supervised training of SNNs remains a hard problem due to the discontinuity of the spiking neuron…

神经与进化计算 · 计算机科学 2021-12-20 Mingqing Xiao , Qingyan Meng , Zongpeng Zhang , Yisen Wang , Zhouchen Lin

Backpropagation (BP) has long been the predominant method for training neural networks due to its effectiveness. However, numerous alternative approaches, broadly categorized under feedback alignment, have been proposed, many of which are…

机器学习 · 计算机科学 2025-02-11 Aymene Berriche , Mehdi Zakaria Adjal , Riyadh Baghdadi