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Backpropagation algorithm is indispensable for the training of feedforward neural networks. It requires propagating error gradients sequentially from the output layer all the way back to the input layer. The backward locking in…

Machine Learning · Computer Science 2018-07-24 Zhouyuan Huo , Bin Gu , Qian Yang , Heng Huang

Memory-efficient backpropagation (MeBP) has enabled first-order fine-tuning of large language models (LLMs) on mobile devices with less than 1GB memory. However, MeBP requires backward computation through all transformer layers at every…

Machine Learning · Computer Science 2026-02-16 Juneyoung Park , Eunbeen Yoon , Seongwan Kim. Jaeho Lee

The Spiking Neural Network (SNN) is a biologically inspired neural network infrastructure that has recently garnered significant attention. It utilizes binary spike activations to transmit information, thereby replacing multiplications with…

Computer Vision and Pattern Recognition · Computer Science 2024-10-01 Yufei Guo , Yuanpei Chen , Zecheng Hao , Weihang Peng , Zhou Jie , Yuhan Zhang , Xiaode Liu , Zhe Ma

The Resilient Propagation (Rprop) algorithm has been very popular for backpropagation training of multilayer feed-forward neural networks in various applications. The standard Rprop however encounters difficulties in the context of deep…

Neural and Evolutionary Computing · Computer Science 2015-09-17 Alan Mosca , George D. Magoulas

Stochastic gradient descent (SGD) has achieved great success in training deep neural network, where the gradient is computed through back-propagation. However, the back-propagated values of different layers vary dramatically. This…

Machine Learning · Statistics 2018-02-28 Huishuai Zhang , Wei Chen , Tie-Yan Liu

Backpropagation (BP) is widely used for calculating gradients in deep neural networks (DNNs). Applied often along with stochastic gradient descent (SGD) or its variants, BP is considered as a de-facto choice in a variety of machine learning…

Machine Learning · Computer Science 2024-01-11 Ziang Li , Yiwen Guo , Haodi Liu , Changshui Zhang

A major drawback of backpropagation through time (BPTT) is the difficulty of learning long-term dependencies, coming from having to propagate credit information backwards through every single step of the forward computation. This makes BPTT…

Artificial Intelligence · Computer Science 2017-11-08 Nan Rosemary Ke , Anirudh Goyal , Olexa Bilaniuk , Jonathan Binas , Laurent Charlin , Chris Pal , Yoshua Bengio

Many transformations in deep learning architectures are sparsely connected. When such transformations cannot be designed by hand, they can be learned, even through plain backpropagation, for instance in attention mechanisms. However, during…

Machine Learning · Statistics 2018-10-23 Peter Bloem

We introduce a dynamic sparse training algorithm based on linearized Bregman iterations / mirror descent that exploits the naturally incurred sparsity by alternating between periods of static and dynamic sparsity pattern updates. The key…

Machine Learning · Computer Science 2026-05-19 Yannick Lunk , Sebastian J. Scott , Leon Bungert

There is an increasing interest in emulating Spiking Neural Networks (SNNs) on neuromorphic computing devices due to their low energy consumption. Recent advances have allowed training SNNs to a point where they start to compete with…

Neural and Evolutionary Computing · Computer Science 2022-01-14 Nicolas Perez-Nieves , Dan F. M. Goodman

Many data mining and data analysis techniques operate on dense matrices or complete tables of data. Real-world data sets, however, often contain unknown values. Even many classification algorithms that are designed to operate with missing…

Neural and Evolutionary Computing · Computer Science 2013-12-20 Michael S. Gashler , Michael R. Smith , Richard Morris , Tony Martinez

Continual learning is a problem for artificial neural networks that their biological counterparts are adept at solving. Building on work using Sparse Distributed Memory (SDM) to connect a core neural circuit with the powerful Transformer…

Neural and Evolutionary Computing · Computer Science 2023-03-28 Trenton Bricken , Xander Davies , Deepak Singh , Dmitry Krotov , Gabriel Kreiman

Distributed synchronous stochastic gradient descent has been widely used to train deep neural networks (DNNs) on computer clusters. With the increase of computational power, network communications generally limit the system scalability.…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-19 Shaohuai Shi , Xiaowen Chu , Bo Li

Structured prediction requires searching over a combinatorial number of structures. To tackle it, we introduce SparseMAP: a new method for sparse structured inference, and its natural loss function. SparseMAP automatically selects only a…

Machine Learning · Statistics 2018-06-21 Vlad Niculae , André F. T. Martins , Mathieu Blondel , Claire Cardie

We propose proximal backpropagation (ProxProp) as a novel algorithm that takes implicit instead of explicit gradient steps to update the network parameters during neural network training. Our algorithm is motivated by the step size…

Machine Learning · Computer Science 2018-02-21 Thomas Frerix , Thomas Möllenhoff , Michael Moeller , Daniel Cremers

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

Neural networks are a group of neurons stacked together in multiple layers to mimic the biological neurons in a human brain. Neural networks have been trained using the backpropagation algorithm based on gradient descent strategy for…

Neural and Evolutionary Computing · Computer Science 2025-04-22 Deepak Kumar

Deep Neural Networks are successful but highly computationally expensive learning systems. One of the main sources of time and energy drains is the well known backpropagation (backprop) algorithm, which roughly accounts for 2/3 of the…

Machine Learning · Computer Science 2020-04-17 Simon Wiedemann , Temesgen Mehari , Kevin Kepp , Wojciech Samek

Training deep neural networks using backpropagation is very memory and computationally intensive. This makes it difficult to run on-device learning or fine-tune neural networks on tiny, embedded devices such as low-power micro-controller…

Machine Learning · Computer Science 2023-08-21 Marcus Rüb , Daniel Maier , Daniel Mueller-Gritschneder , Axel Sikora

We introduce Sparse Physics Informed Backpropagation (SPInProp), a new class of methods for accelerating backpropagation for a specialized neural network architecture called Low Rank Neural Representation (LRNR). The approach exploits the…

Machine Learning · Computer Science 2026-01-15 Woojin Cho , Kookjin Lee , Noseong Park , Donsub Rim , Gerrit Welper