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Batch Normalization (BN) has become a cornerstone of deep learning across diverse architectures, appearing to help optimization as well as generalization. While the idea makes intuitive sense, theoretical analysis of its effectiveness has…

Machine Learning · Computer Science 2018-12-11 Sanjeev Arora , Zhiyuan Li , Kaifeng Lyu

Inspired by key neuroscience principles, deep learning has driven exponential breakthroughs in developing functional models of perception and other cognitive processes. A key to this success has been the implementation of crucial features…

Neurons and Cognition · Quantitative Biology 2025-11-07 Guillaume Etter

Feedback alignment algorithms are an alternative to backpropagation to train neural networks, whereby some of the partial derivatives that are required to compute the gradient are replaced by random terms. This essentially transforms the…

Machine Learning · Computer Science 2023-06-06 Dominique Chu , Florian Bacho

Neural networks are typically trained with a single learning rate across all layers. While recent empirical evidence suggests that assigning layer-specific learning rates can accelerate training, a principled understanding of the conditions…

Machine Learning · Computer Science 2026-05-26 Sihan Zeng , Sujay Bhatt , Sumitra Ganesh

Emerged as a biology-inspired method, Spiking Neural Networks (SNNs) mimic the spiking nature of brain neurons and have received lots of research attention. SNNs deal with binary spikes as their activation and therefore derive extreme…

Computer Vision and Pattern Recognition · Computer Science 2023-05-04 Yufei Guo , Weihang Peng , Yuanpei Chen , Liwen Zhang , Xiaode Liu , Xuhui Huang , Zhe Ma

Symbolic regression is a technique that can automatically derive analytic models from data. Traditionally, symbolic regression has been implemented primarily through genetic programming that evolves populations of candidate solutions…

Neural and Evolutionary Computing · Computer Science 2025-04-24 Jiří Kubalík , Robert Babuška

Hopfield neural networks are a possible basis for modelling associative memory in living organisms. After summarising previous studies in the field, we take a new look at learning rules, exhibiting them as descent-type algorithms for…

Neural and Evolutionary Computing · Computer Science 2020-10-06 Pavel Tolmachev , Jonathan H. Manton

Artificial Neural Network (ANN)-based inference on battery-powered devices can be made more energy-efficient by restricting the synaptic weights to be binary, hence eliminating the need to perform multiplications. An alternative, emerging,…

Machine Learning · Computer Science 2020-12-16 Hyeryung Jang , Nicolas Skatchkovsky , Osvaldo Simeone

Bayesian Neural Networks (BNN) have recently emerged in the Deep Learning world for dealing with uncertainty estimation in classification tasks, and are used in many application domains such as astrophysics, autonomous driving...BNN assume…

Machine Learning · Computer Science 2021-02-04 Claire Theobald , Frédéric Pennerath , Brieuc Conan-Guez , Miguel Couceiro , Amedeo Napoli

In this work, a novel and model-based artificial neural network (ANN) training method is developed supported by optimal control theory. The method augments training labels in order to robustly guarantee training loss convergence and improve…

Optimization and Control · Mathematics 2023-03-17 Viktor Andersson , Balázs Varga , Vincent Szolnoky , Andreas Syrén , Rebecka Jörnsten , Balázs Kulcsár

Continuous, adaptive learning, the ability to adapt to the environment and keep improving performance, is a hallmark of natural intelligence. Biological organisms excel in acquiring, transferring, and retaining knowledge while adapting to…

Neurons and Cognition · Quantitative Biology 2026-03-03 Jie Mei , Alejandro Rodriguez-Garcia , Daigo Takeuchi , Gabriel Wainstein , Nina Hubig , Yalda Mohsenzadeh , Srikanth Ramaswamy

Recurrent networks of spiking neurons (RSNNs) underlie the astounding computing and learning capabilities of the brain. But computing and learning capabilities of RSNN models have remained poor, at least in comparison with artificial neural…

Neural and Evolutionary Computing · Computer Science 2018-12-27 Guillaume Bellec , Darjan Salaj , Anand Subramoney , Robert Legenstein , Wolfgang Maass

In a neuron network, synapses update individually using local information, allowing for entirely decentralized learning. In contrast, elements in an artificial neural network (ANN) are typically updated simultaneously using a central…

Soft Condensed Matter · Physics 2022-12-05 Jacob F Wycoff , Sam Dillavou , Menachem Stern , Andrea J Liu , Douglas J Durian

Gradient descent (GD) methods for the training of artificial neural networks (ANNs) belong nowadays to the most heavily employed computational schemes in the digital world. Despite the compelling success of such methods, it remains an open…

Optimization and Control · Mathematics 2025-09-01 Shokhrukh Ibragimov , Arnulf Jentzen , Adrian Riekert

Training a neural network (NN) typically relies on some type of curve-following method, such as gradient descent (GD) (and stochastic gradient descent (SGD)), ADADELTA, ADAM or limited memory algorithms. Convergence for these algorithms…

Machine Learning · Computer Science 2023-05-08 Michael A Kouritzin , Stephen Styles , Beatrice-Helen Vritsiou

In recent years, several studies have provided insight on the functioning of the brain which consists of neurons and form networks via interconnection among them by synapses. Neural networks are formed by interconnected systems of neurons,…

Neurons and Cognition · Quantitative Biology 2021-01-22 Martin C. Nwadiugwu

Spiking neural networks (SNNs), which mimic biological neural system to convey information via discrete spikes, are well known as brain-inspired models with excellent computing efficiency. By utilizing the surrogate gradient estimation for…

Neural and Evolutionary Computing · Computer Science 2024-08-21 Zekai Xu , Kang You , Qinghai Guo , Xiang Wang , Zhezhi He

The rapidly increasing computational demands for artificial intelligence (AI) have spurred the exploration of computing principles beyond conventional digital computers. Physical neural networks (PNNs) offer efficient neuromorphic…

The goal of this thesis is to develop the optimisation and generalisation theoretic foundations of learning in artificial neural networks. On optimisation, a new theoretical framework is proposed for deriving architecture-dependent…

Neural and Evolutionary Computing · Computer Science 2022-10-20 Jeremy Bernstein

Artificial Neural Networks (ANNs) are bio-inspired models of neural computation that have proven highly effective. Still, ANNs lack a natural notion of time, and neural units in ANNs exchange analog values in a frame-based manner, a…

Neural and Evolutionary Computing · Computer Science 2017-10-16 Davide Zambrano , Roeland Nusselder , H. Steven Scholte , Sander Bohte