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Federated Learning (FL) is an emerging machine learning technique that enables distributed model training across data silos or edge devices without data sharing. Yet, FL inevitably introduces inefficiencies compared to centralized model…

Machine Learning · Computer Science 2024-01-11 Philipp Wiesner , Ramin Khalili , Dennis Grinwald , Pratik Agrawal , Lauritz Thamsen , Odej Kao

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

The Forward-Forward algorithm is an alternative learning method which consists of two forward passes rather than a forward and backward pass employed by backpropagation. Forward-Forward networks employ layer local loss functions which are…

Machine Learning · Computer Science 2025-04-16 Reece Adamson

The Forward-Forward (FF) algorithm presents a compelling, bio-inspired alternative to backpropagation. However, while efficient in training, it has a computationally prohibitive inference process that requires a separate forward pass for…

Machine Learning · Computer Science 2026-05-04 Shalini Sarode , Brian Moser , Joachim Folz , Federico Raue , Tobias Nauen , Stanislav Frolov , Andreas Dengel

Neural networks are widely deployed models across many scientific disciplines and commercial endeavors ranging from edge computing and sensing to large-scale signal processing in data centers. The most efficient and well-entrenched method…

Backpropagation has been the cornerstone of neural network training for decades, yet its inefficiencies in time and energy consumption limit its suitability for resource-constrained edge devices. While low-precision neural network…

Machine Learning · Computer Science 2025-07-01 Jingxiao Ma , Priyadarshini Panda , Sherief Reda

After the tremendous development of neural networks trained by backpropagation, it is a good time to develop other algorithms for training neural networks to gain more insights into networks. In this paper, we propose a new algorithm for…

Machine Learning · Computer Science 2020-07-01 Benyamin Ghojogh , Fakhri Karray , Mark Crowley

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

The backpropagation algorithm remains the dominant and most successful method for training deep neural networks (DNNs). At the same time, training DNNs at scale comes at a significant computational cost and therefore a high carbon…

Machine Learning · Computer Science 2025-11-12 Sander Dalm , Joshua Offergeld , Nasir Ahmad , Marcel van Gerven

The backpropagation algorithm, despite its widespread use in neural network learning, may not accurately emulate the human cortex's learning process. Alternative strategies, such as the Forward-Forward Algorithm (FFA), offer a closer match…

Neural and Evolutionary Computing · Computer Science 2023-05-23 Desmond Y. M. Tang

Continuously adapting pre-trained models to local data on resource constrained edge devices is the $\emph{last mile}$ for model deployment. However, as models increase in size and depth, backpropagation requires a large amount of memory,…

Machine Learning · Computer Science 2024-11-07 Chen Feng , Shaojie Zhuo , Xiaopeng Zhang , Ramchalam Kinattinkara Ramakrishnan , Zhaocong Yuan , Andrew Zou Li

Modern machine learning models are able to outperform humans on a variety of non-trivial tasks. However, as the complexity of the models increases, they consume significant amounts of power and still struggle to generalize effectively to…

Machine Learning · Computer Science 2023-12-13 Thomas Dooms , Ing Jyh Tsang , Jose Oramas

Recent successes in image analysis with deep neural networks are achieved almost exclusively with Convolutional Neural Networks (CNNs), typically trained using the backpropagation (BP) algorithm. In a 2022 preprint, Geoffrey Hinton proposed…

Computer Vision and Pattern Recognition · Computer Science 2025-11-05 Riccardo Scodellaro , Ajinkya Kulkarni , Frauke Alves , Matthias Schröter

Recent advances unveiled physical neural networks as promising machine learning platforms, offering faster and more energy-efficient information processing. Compared with extensively-studied optical neural networks, the development of…

Machine Learning · Computer Science 2024-04-25 Shuaifeng Li , Xiaoming Mao

Self-supervised representation learning has seen remarkable progress in the last few years, with some of the recent methods being able to learn useful image representations without labels. These methods are trained using backpropagation,…

Computer Vision and Pattern Recognition · Computer Science 2023-12-11 Jonas Brenig , Radu Timofte

Agents that operate autonomously benefit from lifelong learning capabilities. However, compatible training algorithms must comply with the decentralized nature of these systems, which imposes constraints on both the parameter counts and the…

Machine Learning · Computer Science 2025-03-28 Xing Chen , Dongshu Liu , Jeremie Laydevant , Julie Grollier

Recent deep learning models such as ChatGPT utilizing the back-propagation algorithm have exhibited remarkable performance. However, the disparity between the biological brain processes and the back-propagation algorithm has been noted. The…

Machine Learning · Computer Science 2024-04-24 Taewook Hwang , Hyein Seo , Sangkeun Jung

Backpropagation (BP) has been a successful optimization technique for deep learning models. However, its limitations, such as backward- and update-locking, and its biological implausibility, hinder the concurrent updating of layers and do…

Machine Learning · Computer Science 2023-12-22 Anzhe Cheng , Zhenkun Wang , Chenzhong Yin , Mingxi Cheng , Heng Ping , Xiongye Xiao , Shahin Nazarian , Paul Bogdan

Supervised training of neural networks for classification is typically performed with a global loss function. The loss function provides a gradient for the output layer, and this gradient is back-propagated to hidden layers to dictate an…

Machine Learning · Statistics 2019-05-09 Arild Nøkland , Lars Hiller Eidnes

Fractional-order differential equations (FDEs) enhance traditional differential equations by extending the order of differential operators from integers to real numbers, offering greater flexibility in modeling complex dynamical systems…

Machine Learning · Computer Science 2025-03-24 Qiyu Kang , Xuhao Li , Kai Zhao , Wenjun Cui , Yanan Zhao , Weihua Deng , Wee Peng Tay