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Deep residual networks have recently shown appealing performance on many challenging computer vision tasks. However, the original residual structure still has some defects making it difficult to converge on very deep networks. In this…

Computer Vision and Pattern Recognition · Computer Science 2016-05-31 Falong Shen , Gang Zeng

Backpropagation through nonlinear neurons is an outstanding challenge to the field of optical neural networks and the major conceptual barrier to all-optical training schemes. Each neuron is required to exhibit a directionally dependent…

Emerging Technologies · Computer Science 2021-03-22 Xianxin Guo , Thomas D. Barrett , Zhiming M. Wang , A. I. Lvovsky

Residual Network (ResNet) is undoubtedly a milestone in deep learning. ResNet is equipped with shortcut connections between layers, and exhibits efficient training using simple first order algorithms. Despite of the great empirical success,…

Machine Learning · Computer Science 2019-11-05 Tianyi Liu , Minshuo Chen , Mo Zhou , Simon S. Du , Enlu Zhou , Tuo Zhao

How physical networks of neurons, bound by spatio-temporal locality constraints, can perform efficient credit assignment, remains, to a large extent, an open question. In machine learning, the answer is almost universally given by the error…

Neurons and Cognition · Quantitative Biology 2026-01-13 Benjamin Ellenberger , Paul Haider , Jakob Jordan , Kevin Max , Ismael Jaras , Laura Kriener , Federico Benitez , Mihai A. Petrovici

Recursive least squares (RLS) algorithms were once widely used for training small-scale neural networks, due to their fast convergence. However, previous RLS algorithms are unsuitable for training deep neural networks (DNNs), since they…

Machine Learning · Computer Science 2021-09-08 Chunyuan Zhang , Qi Song , Hui Zhou , Yigui Ou , Hongyao Deng , Laurence Tianruo Yang

Pruning of deep neural networks has been an effective technique for reducing model size while preserving most of the performance of dense networks, crucial for deploying models on memory and power-constrained devices. While recent sparse…

Computer Vision and Pattern Recognition · Computer Science 2025-12-02 Andy Li , Aiden Durrant , Milan Markovic , Tianjin Huang , Souvik Kundu , Tianlong Chen , Lu Yin , Georgios Leontidis

Spiking Neural Networks (SNNs) are being explored for their potential energy efficiency resulting from sparse, event-driven computations. Many recent works have demonstrated effective backpropagation for deep Spiking Neural Networks (SNNs)…

Neural and Evolutionary Computing · Computer Science 2020-03-04 Jason M. Allred , Steven J. Spencer , Gopalakrishnan Srinivasan , Kaushik Roy

Efficient and biologically plausible alternatives to backpropagation in neural network training remain a challenge due to issues such as high computational complexity and additional assumptions about neural networks, which limit scalability…

Machine Learning · Computer Science 2024-03-20 Zeliang Zhang , Jinyang Jiang , Zhuo Liu , Susan Liang , Yijie Peng , Chenliang Xu

PCANet and its variants provided good accuracy results for classification tasks. However, despite the importance of network depth in achieving good classification accuracy, these networks were trained with a maximum of nine layers. In this…

Computer Vision and Pattern Recognition · Computer Science 2023-01-30 Mubarakah Alotaibi , Richard Wilson

Nowadays, the rapid growth of Deep Neural Network (DNN) architectures has established them as the defacto approach for providing advanced Machine Learning tasks with excellent accuracy. Targeting low-power DNN computing, this paper examines…

Machine Learning · Computer Science 2025-06-27 Vasileios Leon , Georgios Makris , Sotirios Xydis , Kiamal Pekmestzi , Dimitrios Soudris

Deep learning models have gained great success in many real-world applications. However, most existing networks are typically designed in heuristic manners, thus lack of rigorous mathematical principles and derivations. Several recent…

Computer Vision and Pattern Recognition · Computer Science 2017-12-18 Risheng Liu , Xin Fan , Shichao Cheng , Xiangyu Wang , Zhongxuan Luo

Deep residual networks (ResNets) made a recent breakthrough in deep learning. The core idea of ResNets is to have shortcut connections between layers that allow the network to be much deeper while still being easy to optimize avoiding…

Computer Vision and Pattern Recognition · Computer Science 2018-04-30 Sam Leroux , Pavlo Molchanov , Pieter Simoens , Bart Dhoedt , Thomas Breuel , Jan Kautz

Recently, deep residual networks have been successfully applied in many computer vision and natural language processing tasks, pushing the state-of-the-art performance with deeper and wider architectures. In this work, we interpret deep…

Computer Vision and Pattern Recognition · Computer Science 2017-11-21 Bo Chang , Lili Meng , Eldad Haber , Lars Ruthotto , David Begert , Elliot Holtham

Heterogeneous Graph Neural Networks (HGNNs) are powerful tools for deep learning on heterogeneous graphs. Typical HGNNs require repetitive message passing during training, limiting efficiency for large-scale real-world graphs. Recent…

Machine Learning · Computer Science 2024-09-04 Jun Hu , Bryan Hooi , Bingsheng He

Backpropagation (BP) is the standard algorithm for training the deep neural networks that power modern artificial intelligence including large language models. However, BP is energy inefficient and unlikely to be implemented by the brain.…

Machine Learning · Computer Science 2025-10-30 Francesco Innocenti

The Hopfield model is a pioneering neural network model with associative memory retrieval. The analytical solution of the model in mean field limit revealed that memories can be retrieved without any error up to a finite storage capacity of…

Disordered Systems and Neural Networks · Physics 2017-10-31 Do-Hyun Kim , Jinha Park , B. Kahng

We study deep neural networks and their use in semiparametric inference. We establish novel rates of convergence for deep feedforward neural nets. Our new rates are sufficiently fast (in some cases minimax optimal) to allow us to establish…

Econometrics · Economics 2021-01-20 Max H. Farrell , Tengyuan Liang , Sanjog Misra

This research embarks on pioneering the integration of gradient sampling optimization techniques, particularly StochGradAdam, into the pruning process of neural networks. Our main objective is to address the significant challenge of…

Machine Learning · Computer Science 2024-04-30 Juyoung Yun

We introduce a new technique for gradient normalization during neural network training. The gradients are rescaled during the backward pass using normalization layers introduced at certain points within the network architecture. These…

Machine Learning · Computer Science 2021-06-18 Alejandro Cabana , Luis F. Lago-Fernández

We develop an approach to growing deep network architectures over the course of training, driven by a principled combination of accuracy and sparsity objectives. Unlike existing pruning or architecture search techniques that operate on…

Machine Learning · Computer Science 2023-06-07 Xin Yuan , Pedro Savarese , Michael Maire