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We investigate supervised learning in neural networks. We consider a multi-layered feed-forward network with back propagation. We find that the network of small-world connectivity reduces the learning error and learning time when compared…

Biological Physics · Physics 2009-11-10 D. Simard , L. Nadeau , H. Kröger

We empirically evaluate common assumptions about neural networks that are widely held by practitioners and theorists alike. In this work, we: (1) prove the widespread existence of suboptimal local minima in the loss landscape of neural…

Machine Learning · Computer Science 2020-04-29 Micah Goldblum , Jonas Geiping , Avi Schwarzschild , Michael Moeller , Tom Goldstein

Training large and highly accurate deep learning (DL) models is computationally costly. This cost is in great part due to the excessive number of trained parameters, which are well-known to be redundant and compressible for the execution…

Machine Learning · Computer Science 2019-04-11 Mojan Javaheripi , Bita Darvish Rouhani , Farinaz Koushanfar

Residual connections remain ubiquitous in modern neural network architectures nearly a decade after their introduction. Their widespread adoption is often credited to their dramatically improved trainability: residual networks train faster,…

Machine Learning · Computer Science 2025-06-18 Christian H. X. Ali Mehmeti-Göpel , Michael Wand

Deep residual networks (ResNets) have demonstrated better generalization performance than deep feedforward networks (FFNets). However, the theory behind such a phenomenon is still largely unknown. This paper studies this fundamental problem…

Machine Learning · Computer Science 2020-12-23 Kaixuan Huang , Yuqing Wang , Molei Tao , Tuo Zhao

Spiking Neural Networks (SNNs) offer a promising alternative to conventional Artificial Neural Networks (ANNs) for the implementation of on-device low-power online learning and inference. On-device training is, however, constrained by the…

Machine Learning · Computer Science 2019-10-24 Nicolas Skatchkovsky , Hyeryung Jang , Osvaldo Simeone

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

Beyond the traditional neural network training methods based on gradient descent and its variants, state estimation techniques have been proposed to determine a set of ideal weights from a control-theoretic perspective. Hence, the concept…

Systems and Control · Electrical Eng. & Systems 2025-08-29 Yi Yang , Victor G. Lopez , Matthias A. Müller

Training Deep Neural Networks (DNNs) is still highly time-consuming and compute-intensive. It has been shown that adapting a pretrained model may significantly accelerate this process. With a focus on classification, we show that current…

Neural and Evolutionary Computing · Computer Science 2020-12-01 Farshid Varno , Lucas May Petry , Lisa Di Jorio , Stan Matwin

In this paper, we aim at developing scalable neural network-type learning systems. Motivated by the idea of "constructive neural networks" in approximation theory, we focus on "constructing" rather than "training" feed-forward neural…

Machine Learning · Computer Science 2016-05-03 Shaobo Lin , Jinshan Zeng , Xiaoqin Zhang

We study the relationship between the frequency of a function and the speed at which a neural network learns it. We build on recent results that show that the dynamics of overparameterized neural networks trained with gradient descent can…

Machine Learning · Computer Science 2019-12-03 Ronen Basri , David Jacobs , Yoni Kasten , Shira Kritchman

In recent years, deep learning has made remarkable progress in a wide range of domains, with a particularly notable impact on natural language processing tasks. One of the challenges associated with training deep neural networks in the…

Machine Learning · Computer Science 2024-06-27 Hanna Mazzawi , Xavi Gonzalvo , Michael Wunder , Sammy Jerome , Benoit Dherin

Scope of reproducibility: We are reproducing Comparing Rewinding and Fine-tuning in Neural Networks from arXiv:2003.02389. In this work the authors compare three different approaches to retraining neural networks after pruning: 1)…

Machine Learning · Computer Science 2021-09-22 Szymon Mikler

By using a semi-analytical dynamical mean-field approximation previously proposed by the author [H. Hasegawa, Phys. Rev. E, {\bf 70}, 066107 (2004)], we have studied the synchronization of stochastic, small-world (SW) networks of…

Disordered Systems and Neural Networks · Physics 2009-11-11 Hideo Hasegawa

Recurrent Neural Networks (RNNs) offer fast inference on long sequences but are hard to optimize and slow to train. Deep state-space models (SSMs) have recently been shown to perform remarkably well on long sequence modeling tasks, and have…

Machine Learning · Computer Science 2023-03-14 Antonio Orvieto , Samuel L Smith , Albert Gu , Anushan Fernando , Caglar Gulcehre , Razvan Pascanu , Soham De

Over the past two decades, the feedforward neural network (FNN) optimization has been a key interest among the researchers and practitioners of multiple disciplines. The FNN optimization is often viewed from the various perspectives: the…

Neural and Evolutionary Computing · Computer Science 2017-05-17 Varun Kumar Ojha , Ajith Abraham , Václav Snášel

\citet{farrell2021deep} establish non-asymptotic high-probability bounds for general deep feedforward neural network (with rectified linear unit activation function) estimators, with \citet[Theorem 1]{farrell2021deep} achieving a suboptimal…

Econometrics · Economics 2025-12-11 Zhaoji Tang

We present an analysis of different techniques for selecting the connection be- tween layers of deep neural networks. Traditional deep neural networks use ran- dom connection tables between layers to keep the number of connections small and…

Computer Vision and Pattern Recognition · Computer Science 2013-06-04 Eugenio Culurciello , Jonghoon Jin , Aysegul Dundar , Jordan Bates

Training deep neural networks typically relies on backpropagating high dimensional error signals a computationally intensive process with little evidence supporting its implementation in the brain. However, since most tasks involve…

Machine Learning · Computer Science 2026-01-15 Maher Hanut , Jonathan Kadmon

Federated Learning (FL) preserves privacy by distributing training across devices. However, using DNNs is computationally intensive at the low-powered edge during inference. Edge deployment demands models that simultaneously optimize memory…

Machine Learning · Computer Science 2026-03-17 Nitin Priyadarshini Shankar , Soham Lahiri , Sheetal Kalyani , Saurav Prakash
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