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Spiking neural networks combine analog computation with event-based communication using discrete spikes. While the impressive advances of deep learning are enabled by training non-spiking artificial neural networks using the backpropagation…

Neurons and Cognition · Quantitative Biology 2021-06-22 Timo C. Wunderlich , Christian Pehle

Recent work by Baratin et al. (2021) sheds light on an intriguing pattern that occurs during the training of deep neural networks: some layers align much more with data compared to other layers (where the alignment is defined as the…

Machine Learning · Statistics 2023-04-12 Yizhang Lou , Chris Mingard , Yoonsoo Nam , Soufiane Hayou

Today, artificial neural networks are the state of the art for solving a variety of complex tasks, especially in image classification. Such architectures consist of a sequence of stacked layers with the aim of extracting useful information…

Machine Learning · Computer Science 2023-01-31 Simone Sarti , Eugenio Lomurno , Matteo Matteucci

Neural networks have shown significant potential in solving partial differential equations (PDEs). While deep networks are capable of approximating complex functions, direct one-shot training often faces limitations in both accuracy and…

Numerical Analysis · Mathematics 2025-03-10 Mingxing Weng , Zhiping Mao , Jie Shen

Incremental learning often encounter challenges such as overfitting to new data and catastrophic forgetting of old data. Existing methods can effectively extend the model for new tasks while freezing the parameters of the old model, but…

Computer Vision and Pattern Recognition · Computer Science 2025-12-29 Chuangxin Zhang , Guangfeng Lin , Enhui Zhao , Kaiyang Liao , Yajun Chen

Error feedback (EF), also known as error compensation, is an immensely popular convergence stabilization mechanism in the context of distributed training of supervised machine learning models enhanced by the use of contractive communication…

Machine Learning · Computer Science 2021-06-10 Peter Richtárik , Igor Sokolov , Ilyas Fatkhullin

Deep learning utilizing deep neural networks (DNNs) has achieved a lot of success recently in many important areas such as computer vision, natural language processing, and recommendation systems. The lack of convexity for DNNs has been…

Machine Learning · Computer Science 2022-06-14 Jingcheng Zhou , Wei Wei , Xing Li , Bowen Pang , Zhiming Zheng

We introduce Error Forward-Propagation, a biologically plausible mechanism to propagate error feedback forward through the network. Architectural constraints on connectivity are virtually eliminated for error feedback in the brain;…

Neural and Evolutionary Computing · Computer Science 2018-08-13 Adam A. Kohan , Edward A. Rietman , Hava T. Siegelmann

Spiking neural networks (SNNs) are brain-inspired models that enable energy-efficient implementation on neuromorphic hardware. However, the supervised training of SNNs remains a hard problem due to the discontinuity of the spiking neuron…

Neural and Evolutionary Computing · Computer Science 2021-12-20 Mingqing Xiao , Qingyan Meng , Zongpeng Zhang , Yisen Wang , Zhouchen Lin

Error backpropagation is a highly effective mechanism for learning high-quality hierarchical features in deep networks. Updating the features or weights in one layer, however, requires waiting for the propagation of error signals from…

Neural and Evolutionary Computing · Computer Science 2017-11-21 Hesham Mostafa , Vishwajith Ramesh , Gert Cauwenberghs

The popularity of deep learning techniques renewed the interest in neural architectures able to process complex structures that can be represented using graphs, inspired by Graph Neural Networks (GNNs). We focus our attention on the…

Machine Learning · Computer Science 2021-09-02 Matteo Tiezzi , Giuseppe Marra , Stefano Melacci , Marco Maggini

Heterogeneous Graph Neural Networks (HGNNs) are widely used for deep learning on heterogeneous graphs. Typical end-to-end HGNNs require repetitive message passing during training, limiting efficiency for large-scale real-world graphs.…

Machine Learning · Computer Science 2025-11-17 Jun Hu , Shangheng Chen , Yufei He , Yuan Li , Bryan Hooi , Bingsheng He

We propose self-adaptive training---a new training algorithm that dynamically corrects problematic training labels by model predictions without incurring extra computational cost---to improve generalization of deep learning for potentially…

Machine Learning · Computer Science 2020-10-01 Lang Huang , Chao Zhang , Hongyang Zhang

Predictive coding (PC) is a biologically plausible alternative to standard backpropagation (BP) that minimises an energy function with respect to network activities before updating weights. Recent work has improved the training stability of…

Machine Learning · Computer Science 2026-05-25 Francesco Innocenti , El Mehdi Achour , Rafal Bogacz

Spiking neural networks (SNN) have recently emerged as alternatives to traditional neural networks, owing to energy efficiency benefits and capacity to better capture biological neuronal mechanisms. However, the classic backpropagation…

Neural and Evolutionary Computing · Computer Science 2023-03-13 Jane H. Lee , Saeid Haghighatshoar , Amin Karbasi

Neural collapse is a phenomenon observed during the terminal phase of neural network training, characterized by the convergence of network activations, class means, and linear classifier weights to a simplex equiangular tight frame (ETF), a…

Machine Learning · Computer Science 2024-12-03 Emily Liu

Event-based machine learning promises more energy-efficient AI on future neuromorphic hardware. Here, we investigate how the recently discovered Eventprop algorithm for gradient descent on exact gradients in spiking neural networks can be…

Neural and Evolutionary Computing · Computer Science 2025-02-03 Thomas Nowotny , James P. Turner , James C. Knight

Gradient descent computed by backpropagation (BP) is a widely used learning method for training artificial neural networks but has several limitations: it is computationally demanding, requires frequent manual tuning of the network…

Signal Processing · Electrical Eng. & Systems 2024-10-02 Jiaqi Xing , Libo Chen , ZeZheng Zhang , Mohammed Nazibul Hasan , Zhi-Bin Zhang

The problem of training spiking neural networks (SNNs) is a necessary precondition to understanding computations within the brain, a field still in its infancy. Previous work has shown that supervised learning in multi-layer SNNs enables…

Neural and Evolutionary Computing · Computer Science 2018-03-12 Amirhossein Tavanaei , Anthony S. Maida

Recurrent neural networks (RNNs) are more suitable for learning non-linear dependencies in dynamical systems from observed time series data. In practice all the external variables driving such systems are not known a priori, especially in…

Machine Learning · Computer Science 2020-06-02 Mhlasakululeka Mvubu , Emmanuel Kabuga , Christian Plitz , Bubacarr Bah , Ronnie Becker , Hans Georg Zimmermann