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We study stochastic gradient descent (SGD) for composite optimization problems with $N$ sequential operators subject to perturbations in both the forward and backward passes. Unlike classical analyses that treat gradient noise as additive…

Optimization and Control · Mathematics 2026-02-25 Boao Kong , Hengrui Zhang , Kun Yuan

We introduce an algorithm to do backpropagation on a spiking network. Our network is "spiking" in the sense that our neurons accumulate their activation into a potential over time, and only send out a signal (a "spike") when this potential…

Neural and Evolutionary Computing · Computer Science 2016-11-08 Peter O'Connor , Max Welling

Deep spiking neural networks (SNNs) are promising neural networks for their model capacity from deep neural network architecture and energy efficiency from SNNs' operations. To train deep SNNs, recently, spatio-temporal backpropagation…

Neural and Evolutionary Computing · Computer Science 2023-08-02 Seongsik Park , Jeonghee Jo , Jongkil Park , Yeonjoo Jeong , Jaewook Kim , Suyoun Lee , Joon Young Kwak , Inho Kim , Jong-Keuk Park , Kyeong Seok Lee , Gye Weon Hwang , Hyun Jae Jang

Recently, spiking neural networks (SNNs) have demonstrated substantial potential in computer vision tasks. In this paper, we present an Efficient Spiking Deraining Network, called ESDNet. Our work is motivated by the observation that rain…

Computer Vision and Pattern Recognition · Computer Science 2024-05-13 Tianyu Song , Guiyue Jin , Pengpeng Li , Kui Jiang , Xiang Chen , Jiyu Jin

Spiking Neural Networks (SNNs) have recently emerged as a prominent neural computing paradigm. However, the typical shallow SNN architectures have limited capacity for expressing complex representations while training deep SNNs using input…

Neural and Evolutionary Computing · Computer Science 2020-03-26 Chankyu Lee , Syed Shakib Sarwar , Priyadarshini Panda , Gopalakrishnan Srinivasan , Kaushik Roy

Biological neurons use spikes to process and learn temporally dynamic inputs in an energy and computationally efficient way. However, applying the state-of-the-art gradient-based supervised algorithms to spiking neural networks (SNN) is a…

Computer Vision and Pattern Recognition · Computer Science 2020-01-14 Aref Moqadam Mehr , Saeed Reza Kheradpisheh , Hadi Farahani

Training instability in modern deep learning systems is frequently triggered by rare but extreme gradient-norm spikes, which can induce oversized parameter updates, corrupt optimizer state, and lead to slow recovery or divergence. Widely…

Understanding the implicit bias of training algorithms is of crucial importance in order to explain the success of overparametrised neural networks. In this paper, we study the dynamics of stochastic gradient descent over diagonal linear…

Machine Learning · Computer Science 2021-12-08 Scott Pesme , Loucas Pillaud-Vivien , Nicolas Flammarion

Recent works have demonstrated that the sample complexity of gradient-based learning of single index models, i.e. functions that depend on a 1-dimensional projection of the input data, is governed by their information exponent. However,…

Machine Learning · Statistics 2023-09-08 Alireza Mousavi-Hosseini , Denny Wu , Taiji Suzuki , Murat A. Erdogdu

This paper presents a novel technique based on gradient boosting to train the final layers of a neural network (NN). Gradient boosting is an additive expansion algorithm in which a series of models are trained sequentially to approximate a…

Machine Learning · Computer Science 2023-05-05 Seyedsaman Emami , Gonzalo Martínez-Muñoz

Applications that generate huge amounts of data in the form of fast streams are becoming increasingly prevalent, being therefore necessary to learn in an online manner. These conditions usually impose memory and processing time…

Neural and Evolutionary Computing · Computer Science 2019-08-22 Jesus L. Lobo , Javier Del Ser , Albert Bifet , Nikola Kasabov

When training deep neural networks with gradient descent, sharpness often increases -- a phenomenon known as progressive sharpening -- before saturating at the edge of stability. Although commonly observed in practice, the underlying…

Machine Learning · Computer Science 2025-06-10 Geonhui Yoo , Minhak Song , Chulhee Yun

With the rapid development of artificial intelligence technology, the field of reinforcement learning has continuously achieved breakthroughs in both theory and practice. However, traditional reinforcement learning algorithms often entail…

Artificial Intelligence · Computer Science 2024-06-21 Yuhao Pan , Xiucheng Wang , Nan Cheng , Qi Qiu

Stochastic gradient descent (SGD), a widely used algorithm in deep-learning neural networks has attracted continuing studies for the theoretical principles behind its success. A recent work reports an anomaly (inverse) relation between the…

Adaptation and Self-Organizing Systems · Physics 2023-08-16 Xia Xiong , Yong-Cong Chen , Chunxiao Shi , Ping Ao

We showcase important features of the dynamics of the Stochastic Gradient Descent (SGD) in the training of neural networks. We present empirical observations that commonly used large step sizes (i) lead the iterates to jump from one side of…

Machine Learning · Computer Science 2023-06-08 Maksym Andriushchenko , Aditya Varre , Loucas Pillaud-Vivien , Nicolas Flammarion

Spiking neural networks have shown much promise as an energy-efficient alternative to artificial neural networks. However, understanding the impacts of sensor noises and input encodings on the network activity and performance remains…

Computer Vision and Pattern Recognition · Computer Science 2022-06-15 Sami Barchid , José Mennesson , Jason Eshraghian , Chaabane Djéraba , Mohammed Bennamoun

Spiking neural networks (SNNs) promise orders-of-magnitude efficiency gains by communicating with sparse, event-driven spikes rather than dense numerical activations. However, most training pipelines either rely on surrogate-gradient…

Neural and Evolutionary Computing · Computer Science 2025-12-17 Arman Ferdowsi , Atakan Aral

Spiking neural networks (SNNs) with event-based computation are promising brain-inspired models for energy-efficient applications on neuromorphic hardware. However, most supervised SNN training methods, such as conversion from artificial…

Neural and Evolutionary Computing · Computer Science 2023-02-02 Mingqing Xiao , Qingyan Meng , Zongpeng Zhang , Yisen Wang , Zhouchen Lin

Representational drift refers to over-time changes in neural activation accompanied by a stable task performance. Despite being observed in the brain and in artificial networks, the mechanisms of drift and its implications are not fully…

Disordered Systems and Neural Networks · Physics 2023-06-07 Farhad Pashakhanloo , Alexei Koulakov

Neuromorphic computing systems are set to revolutionize energy-constrained robotics by achieving orders-of-magnitude efficiency gains, while enabling native temporal processing. Spiking Neural Networks (SNNs) represent a promising…

Artificial Intelligence · Computer Science 2025-10-29 Korneel Van den Berghe , Stein Stroobants , Vijay Janapa Reddi , G. C. H. E. de Croon