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The de facto algorithm for training the back pass of a feedforward neural network is backpropagation (BP). The use of almost-everywhere differentiable activation functions made it efficient and effective to propagate the gradient backwards…

Neural and Evolutionary Computing · Computer Science 2022-06-14 John Waldo

Understanding how the brain learns may be informed by studying biologically plausible learning rules. These rules, often approximating gradient descent learning to respect biological constraints such as locality, must meet two critical…

Neural and Evolutionary Computing · Computer Science 2025-06-10 Yuhan Helena Liu , Guangyu Robert Yang , Christopher J. Cueva

Structural credit assignment for recurrent learning is challenging. An algorithm called RTRL can compute gradients for recurrent networks online but is computationally intractable for large networks. Alternatives, such as BPTT, are not…

Machine Learning · Computer Science 2021-03-11 Khurram Javed , Martha White , Rich Sutton

Despite being the cornerstone of deep learning, backpropagation is criticized for its inherent sequentiality, which can limit the scalability of very deep models. Such models faced convergence issues due to vanishing gradient, later…

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

Recurrent neural networks are nowadays successfully used in an abundance of applications, going from text, speech and image processing to recommender systems. Backpropagation through time is the algorithm that is commonly used to train…

Machine Learning · Computer Science 2018-01-10 Cedric De Boom , Thomas Demeester , Bart Dhoedt

Recurrent neural networks (RNNs) can be interpreted as discrete-time state-space models, where the state evolution corresponds to an infinite-impulse-response (IIR) filtering operation governed by both feedforward weights and recurrent…

Machine Learning · Computer Science 2026-02-26 Alexander Morgan , Ummay Sumaya Khan , Lingjia Liu , Lizhong Zheng

Packet routing is one of the fundamental problems in computer networks in which a router determines the next-hop of each packet in the queue to get it as quickly as possible to its destination. Reinforcement learning (RL) has been…

Networking and Internet Architecture · Computer Science 2019-11-15 Xinyu You , Xuanjie Li , Yuedong Xu , Hui Feng , Jin Zhao , Huaicheng Yan

Equilibrium Propagation (EP) is a powerful and more bio-plausible alternative to conventional learning frameworks such as backpropagation. The effectiveness of EP stems from the fact that it relies only on local computations and requires…

Neural and Evolutionary Computing · Computer Science 2023-08-23 Malyaban Bal , Abhronil Sengupta

The growing size of datasets and deep learning models has made faster and memory-efficient training crucial. Reversible transformers have recently been introduced as an exciting new method for extremely memory-efficient training, but they…

Machine Learning · Computer Science 2023-06-16 Tyler Zhu , Karttikeya Mangalam

Dynamical networks are versatile models that can describe a variety of behaviours such as synchronisation and feedback. However, applying these models in real world contexts is difficult as prior information pertaining to the connectivity…

Dynamical Systems · Mathematics 2025-08-29 Eugene Tan , Débora Corrêa , Thomas Stemler , Michael Small

Training recurrent neural networks (RNNs) with backpropagation through time (BPTT) has known drawbacks such as being difficult to capture longterm dependencies in sequences. Successful alternatives to BPTT have not yet been discovered.…

Machine Learning · Computer Science 2022-06-06 Fangxin Shang , Hao Zhang

We describe recurrent neural networks (RNNs), which have attracted great attention on sequential tasks, such as handwriting recognition, speech recognition and image to text. However, compared to general feedforward neural networks, RNNs…

Machine Learning · Computer Science 2018-01-16 Gang Chen

Spiking Neural Networks (SNNs) are promising energy-efficient models for neuromorphic computing. For training the non-differentiable SNN models, the backpropagation through time (BPTT) with surrogate gradients (SG) method has achieved high…

Neural and Evolutionary Computing · Computer Science 2023-08-08 Qingyan Meng , Mingqing Xiao , Shen Yan , Yisen Wang , Zhouchen Lin , Zhi-Quan Luo

Behavior can be described as a temporal sequence of actions driven by neural activity. To learn complex sequential patterns in neural networks, memories of past activities need to persist on significantly longer timescales than the…

Neurons and Cognition · Quantitative Biology 2024-09-30 Laura Kriener , Kristin Völk , Ben von Hünerbein , Federico Benitez , Walter Senn , Mihai A. Petrovici

In recent years, data-driven reinforcement learning (RL), also known as offline RL, have gained significant attention. However, the role of data sampling techniques in offline RL has been overlooked despite its potential to enhance online…

Machine Learning · Computer Science 2025-03-24 Jinyi Liu , Yi Ma , Jianye Hao , Yujing Hu , Yan Zheng , Tangjie Lv , Changjie Fan

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

Predictive Coding (PC) is a biologically-inspired learning framework characterised by local, parallelisable operations, properties that enable energy-efficient implementation on neuromorphic hardware. Despite this, extending PC effectively…

Machine Learning · Computer Science 2026-02-23 Tom Potter , Oliver Rhodes

The ability to process time-series at low energy cost is critical for many applications. Recurrent neural network, which can perform such tasks, are computationally expensive when implementing in software on conventional computers. Here we…

Disordered Systems and Neural Networks · Physics 2025-03-05 Erwan Plouet , Dédalo Sanz-Hernández , Aymeric Vecchiola , Julie Grollier , Frank Mizrahi

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

Recurrent neural networks trained with the backpropagation through time (BPTT) algorithm have led to astounding successes in various temporal tasks. However, BPTT introduces severe limitations, such as the requirement to propagate…

Neural and Evolutionary Computing · Computer Science 2023-04-28 Thomas Ortner , Lorenzo Pes , Joris Gentinetta , Charlotte Frenkel , Angeliki Pantazi