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While backpropagation (BP) is the mainstream approach for gradient computation in neural network training, its heavy reliance on the chain rule of differentiation constrains the designing flexibility of network architecture and training…

Machine Learning · Computer Science 2023-10-16 Jinyang Jiang , Zeliang Zhang , Chenliang Xu , Zhaofei Yu , Yijie Peng

Sampling-based algorithms, which eliminate ''unimportant'' computations during forward and/or back propagation (BP), offer potential solutions to accelerate neural network training. However, since sampling introduces approximations to…

Machine Learning · Computer Science 2024-02-28 Ziteng Wang , Jianfei Chen , Jun Zhu

The backpropagation of error algorithm (BP) is impossible to implement in a real brain. The recent success of deep networks in machine learning and AI, however, has inspired proposals for understanding how the brain might learn across…

Machine Learning · Computer Science 2018-11-21 Sergey Bartunov , Adam Santoro , Blake A. Richards , Luke Marris , Geoffrey E. Hinton , Timothy Lillicrap

Training with backpropagation (BP) in standard deep learning consists of two main steps: a forward pass that maps a data point to its prediction, and a backward pass that propagates the error of this prediction back through the network.…

Machine Learning · Computer Science 2022-10-13 Tommaso Salvatori , Luca Pinchetti , Beren Millidge , Yuhang Song , Tianyi Bao , Rafal Bogacz , Thomas Lukasiewicz

Truncated backpropagation through time (TBPTT) is a popular method for learning in recurrent neural networks (RNNs) that saves computation and memory at the cost of bias by truncating backpropagation after a fixed number of lags. In…

Machine Learning · Computer Science 2019-07-03 Christopher Aicher , Nicholas J. Foti , Emily B. Fox

End-to-end training with full-depth backpropagation remains the dominant paradigm for optimizing deep neural networks, but its efficiency deteriorates as models grow deeper. Since every block must be executed and differentiated under a…

Computer Vision and Pattern Recognition · Computer Science 2026-05-20 Yuming Zhang , Peizhe Wang , Tianyang Han , Hengyu Shi , Junhao Su , Dongzhi Guan , Jiabin Liu , Jiaji Wang

Neural networks have been able to achieve groundbreaking accuracy at tasks conventionally considered only doable by humans. Using stochastic gradient descent, optimization in many dimensions is made possible, albeit at a relatively high…

Machine Learning · Computer Science 2017-07-17 Hirsh R. Agarwal , Andrew Huang

The single-layer feedforward neural network with random weights is a recurring motif in the neural networks literature. The advantage of these networks is their simplified training, which reduces to solving a ridge-regression problem. A…

Machine Learning · Computer Science 2025-02-25 M. Andrecut

Adaptive randomized pivoting (ARP) is a recently proposed and highly effective algorithm for column subset selection. This paper reinterprets the ARP algorithm by drawing connections to the volume sampling distribution and active learning…

Machine Learning · Statistics 2026-04-06 Ethan N. Epperly

Reinforcement Learning (RL) has demonstrated state-of-the-art results in a number of autonomous system applications, however many of the underlying algorithms rely on black-box predictions. This results in poor explainability of the…

Machine Learning · Computer Science 2019-11-27 Matt Benatan , Edward O. Pyzer-Knapp

We introduce a new, efficient, principled and backpropagation-compatible algorithm for learning a probability distribution on the weights of a neural network, called Bayes by Backprop. It regularises the weights by minimising a compression…

Machine Learning · Statistics 2015-05-22 Charles Blundell , Julien Cornebise , Koray Kavukcuoglu , Daan Wierstra

Backpropagation is the cornerstone of deep learning, but its reliance on symmetric weight transport and global synchronization makes it computationally expensive and biologically implausible. Feedback alignment offers a promising…

Machine Learning · Computer Science 2025-05-28 Jeonghwan Cheon , Jaehyuk Bae , Se-Bum Paik

Memory, as the basis of learning, determines the storage, update and forgetting of knowledge and further determines the efficiency of learning. Featured with the mechanism of memory, a radial basis function neural network based learning…

Systems and Control · Electrical Eng. & Systems 2023-11-27 Yiming Fei , Jiangang Li , Yanan Li

In various scenarios motivated by real life, such as medical data analysis, autonomous driving, and adversarial training, we are interested in robust deep networks. A network is robust when a relatively small perturbation of the input…

Machine Learning · Computer Science 2024-10-07 Patryk Krukowski , Daniel Wilczak , Jacek Tabor , Anna Bielawska , Przemysław Spurek

Fast convergence speed is a desired property for training latent Dirichlet allocation (LDA), especially in online and parallel topic modeling for massive data sets. This paper presents a novel residual belief propagation (RBP) algorithm to…

Machine Learning · Computer Science 2013-06-14 Jia Zeng , Xiao-Qin Cao , Zhi-Qiang Liu

Recurrent networks have achieved great success on various sequential tasks with the assistance of complex recurrent units, but suffer from severe computational inefficiency due to weak parallelization. One direction to alleviate this issue…

Computation and Language · Computer Science 2019-06-03 Biao Zhang , Rico Sennrich

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…

Machine Learning · Computer Science 2025-04-01 Paul Caillon , Erwan Fagnou , Alexandre Allauzen

The back-propagation algorithm is the cornerstone of deep learning. Despite its importance, few variations of the algorithm have been attempted. This work presents an approach to discover new variations of the back-propagation equation. We…

Neural and Evolutionary Computing · Computer Science 2018-08-09 Maximilian Alber , Irwan Bello , Barret Zoph , Pieter-Jan Kindermans , Prajit Ramachandran , Quoc Le

Current deep neural networks (DNNs) can easily overfit to biased training data with corrupted labels or class imbalance. Sample re-weighting strategy is commonly used to alleviate this issue by designing a weighting function mapping from…

Machine Learning · Computer Science 2019-09-30 Jun Shu , Qi Xie , Lixuan Yi , Qian Zhao , Sanping Zhou , Zongben Xu , Deyu Meng

This paper provides a comprehensive and detailed derivation of the backpropagation algorithm for graph convolutional neural networks using matrix calculus. The derivation is extended to include arbitrary element-wise activation functions…

Machine Learning · Computer Science 2024-08-05 Yen-Che Hsiao , Rongting Yue , Abhishek Dutta