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Backward propagation (BP) is widely used to compute the gradients in neural network training. However, it is hard to implement BP on edge devices due to the lack of hardware and software resources to support automatic differentiation. This…

Machine Learning · Computer Science 2023-10-11 Yequan Zhao , Xinling Yu , Zhixiong Chen , Ziyue Liu , Sijia Liu , Zheng Zhang

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

Likelihood ratios are used for a variety of applications in particle physics data analysis, including parameter estimation, unfolding, and anomaly detection. When the data are high-dimensional, neural networks provide an effective tools for…

High Energy Physics - Phenomenology · Physics 2025-03-27 Fernando Torales Acosta , Tanvi Wamorkar , Vinicius Mikuni , Benjamin Nachman

Differential privacy (DP) in deep learning is a critical concern as it ensures the confidentiality of training data while maintaining model utility. Existing DP training algorithms provide privacy guarantees by clipping and then injecting…

Machine Learning · Computer Science 2025-04-02 Mingqian Feng , Zeliang Zhang , Jinyang Jiang , Yijie Peng , Chenliang Xu

We present a simple linear regression based approach for learning the weights and biases of a neural network, as an alternative to standard gradient based backpropagation. The present work is exploratory in nature, and we restrict the…

Machine Learning · Computer Science 2023-07-17 Harshad Khadilkar

This paper explores the application of the parameter-shift rule (PSR) for computing gradients in unitary optical neural networks (UONNs). While backpropagation has been fundamental to training conventional neural networks, its…

Emerging Technologies · Computer Science 2025-06-16 Jinzhe Jiang , Yaqian Zhao , Xin Zhang , Chen Li , Yunlong Yu , Hailing Liu

As Deep Neural Networks (DNNs) grow in size and complexity, they often exceed the memory capacity of a single accelerator, necessitating the sharding of model parameters across multiple accelerators. Pipeline parallelism is a commonly used…

Machine Learning · Computer Science 2024-05-29 Christopher Rae , Joseph K. L. Lee , James Richings

Backpropagation, which uses the chain rule, is the de-facto standard algorithm for optimizing neural networks nowadays. Recently, Hinton (2022) proposed the forward-forward algorithm, a promising alternative that optimizes neural nets…

Machine Learning · Computer Science 2023-05-23 Guy Lorberbom , Itai Gat , Yossi Adi , Alex Schwing , Tamir Hazan

Deep neural network training involves both forward propagation (from features through logits to loss) and backward propagation (from loss through gradients to parameter updates). While perturbations along the forward chain, including…

Machine Learning · Computer Science 2026-05-29 Hua Li

Backpropagation is still the de facto algorithm used today to train neural networks. With the exponential growth of recent architectures, the computational cost of this algorithm also becomes a burden. The recent PEPITA and forward-only…

Machine Learning · Computer Science 2025-12-25 Paul Caillon , Alex Colagrande , Erwan Fagnou , Blaise Delattre , Alexandre Allauzen

Gradient-based optimization has been a cornerstone of machine learning that enabled the vast advances of Artificial Intelligence (AI) development over the past decades. However, this type of optimization requires differentiation, and with…

Backpropagation through time (BPTT) is the standard algorithm for training recurrent neural networks (RNNs), which requires separate simulation phases for the forward and backward passes for inference and learning, respectively. Moreover,…

Machine Learning · Computer Science 2023-03-13 Anand Subramoney

Deep learning has revolutionized industries like computer vision, natural language processing, and speech recognition. However, back propagation, the main method for training deep neural networks, faces challenges like computational…

Machine Learning · Computer Science 2023-08-15 Gokulprasath R

Predictive coding networks (PCNs) are an influential model for information processing in the brain. They have appealing theoretical interpretations and offer a single mechanism that accounts for diverse perceptual phenomena of the brain. On…

Machine Learning · Computer Science 2021-03-08 Tommaso Salvatori , Yuhang Song , Thomas Lukasiewicz , Rafal Bogacz , Zhenghua Xu

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

Training very deep convolutional networks is challenging, requiring significant computational resources and time. Existing acceleration methods often depend on specific architectures or require network modifications. We introduce…

Computer Vision and Pattern Recognition · Computer Science 2024-12-25 Evgeny Hershkovitch Neiterman , Gil Ben-Artzi

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…

Machine Learning · Computer Science 2025-06-16 Nazmus Saadat As-Saquib , A N M Nafiz Abeer , Hung-Ta Chien , Byung-Jun Yoon , Suhas Kumar , Su-in Yi

We present a general framework for training deep neural networks without backpropagation. This substantially decreases training time and also allows for construction of deep networks with many sorts of learners, including networks whose…

Machine Learning · Statistics 2017-06-09 Chris Hettinger , Tanner Christensen , Ben Ehlert , Jeffrey Humpherys , Tyler Jarvis , Sean Wade

Existing methods for estimating uncertainty in deep learning tend to require multiple forward passes, making them unsuitable for applications where computational resources are limited. To solve this, we perform probabilistic reasoning over…

Machine Learning · Statistics 2020-12-08 Javier Antorán , James Urquhart Allingham , José Miguel Hernández-Lobato

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