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The problem of neural network association is to retrieve a previously memorized pattern from its noisy version using a network of neurons. An ideal neural network should include three components simultaneously: a learning algorithm, a large…

Neural and Evolutionary Computing · Computer Science 2012-06-22 Amir Hesam Salavati , Amin Karbasi

The dynamical organization in the presence of noise of a Boolean neural network with random connections is analyzed. For low levels of noise, the system reaches a stationary state in which the majority of its elements acquire the same…

Disordered Systems and Neural Networks · Physics 2007-05-23 Cristian Huepe , Maximino Aldana

Noise, traditionally considered a nuisance in computational systems, is reconsidered for its unexpected and counter-intuitive benefits across a wide spectrum of domains, including nonlinear information processing, signal processing, image…

Machine Learning · Computer Science 2024-10-10 Reyhaneh Abdolazimi , Shengmin Jin , Pramod K. Varshney , Reza Zafarani

This chapter considers the computational and statistical aspects of learning linear thresholds in presence of noise. When there is no noise, several algorithms exist that efficiently learn near-optimal linear thresholds using a small amount…

Machine Learning · Computer Science 2020-11-16 Maria-Florina Balcan , Nika Haghtalab

Recent advances in associative memory design through strutured pattern sets and graph-based inference algorithms have allowed the reliable learning and retrieval of an exponential number of patterns. Both these and classical associative…

Neural and Evolutionary Computing · Computer Science 2013-06-04 Amin Karbasi , Amir Hesam Salavati , Amin Shokrollahi , Lav Varshney

Many modern applications of the artificial neural networks ensue large number of layers making traditional digital implementations increasingly complex. Optical neural networks offer parallel processing at high bandwidth, but have the…

Neural and Evolutionary Computing · Computer Science 2022-08-24 Egor Manuylovich , Diego Argüello Ron , Morteza Kamalian-Kopae , Sergei Turitsyn

The success of deep learning has sparked significant interest in designing computer hardware optimized for the high computational demands of neural network inference. As further miniaturization of digital CMOS processors becomes…

Machine Learning · Computer Science 2025-01-27 Xiao Wang , Hendrik Borras , Bernhard Klein , Holger Fröning

Neurons and networks in the cerebral cortex must operate reliably despite multiple sources of noise. To evaluate the impact of both input and output noise, we determine the robustness of single-neuron stimulus selective responses, as well…

Neurons and Cognition · Quantitative Biology 2018-01-24 Ran Rubin , L. F. Abbott , Haim Sompolinsky

Hyperparameters and learning algorithms for neuromorphic hardware are usually chosen by hand. In contrast, the hyperparameters and learning algorithms of networks of neurons in the brain, which they aim to emulate, have been optimized…

Neural and Evolutionary Computing · Computer Science 2019-06-11 Thomas Bohnstingl , Franz Scherr , Christian Pehle , Karlheinz Meier , Wolfgang Maass

Learning and inferring features that generate sensory input is a task continuously performed by cortex. In recent years, novel algorithms and learning rules have been proposed that allow neural network models to learn such features from…

Neurons and Cognition · Quantitative Biology 2021-04-13 Yasser Roudi , Graham Taylor

In this paper we investigate a neural network model in which weights between computational nodes are modified according to a local learning rule. To determine whether local learning rules are sufficient for learning, we encode the network…

Neural and Evolutionary Computing · Computer Science 2025-12-08 Jonathan Baxter

Noise and decoherence are two major obstacles to the implementation of large-scale quantum computing. Because of the no-cloning theorem, which says we cannot make an exact copy of an arbitrary quantum state, simple redundancy will not work…

Quantum Physics · Physics 2020-07-09 Nam H. Nguyen , Elizabeth C. Behrman , James E. Steck

Convolutional Neural Network (CNN) recognition rates drop in the presence of noise. We demonstrate a novel method of counteracting this drop in recognition rate by adjusting the biases of the neurons in the convolutional layers according to…

Computer Vision and Pattern Recognition · Computer Science 2017-02-06 James R. Geraci , Parichay Kapoor

We extend our study of phase transitions in the generalization behaviour of multilayer perceptrons with non-overlapping receptive fields to the problem of the influence of noise, concerning e.g. the input units and/or the couplings between…

Disordered Systems and Neural Networks · Physics 2009-10-30 B. Schottky , U. Krey

With an ever-growing number of parameters defining increasingly complex networks, Deep Learning has led to several breakthroughs surpassing human performance. As a result, data movement for these millions of model parameters causes a…

Neural and Evolutionary Computing · Computer Science 2023-04-12 Christopher Wolters , Brady Taylor , Edward Hanson , Xiaoxuan Yang , Ulf Schlichtmann , Yiran Chen

Enhancing the generalisation abilities of neural networks (NNs) through integrating noise such as MixUp or Dropout during training has emerged as a powerful and adaptable technique. Despite the proven efficacy of noise in NN training, there…

Machine Learning · Computer Science 2024-04-04 Martin Ferianc , Ondrej Bohdal , Timothy Hospedales , Miguel Rodrigues

In recent years, the hardware implementation of neural networks, leveraging physical coupling and analog neurons has substantially increased in relevance. Such nonlinear and complex physical networks provide significant advantages in speed…

Machine Learning · Computer Science 2024-12-05 Nadezhda Semenova , Daniel Brunner

A recurrent neural net is described that learns a set of patterns in the presence of noise. The learning rule is of Hebbian type, and, if noise would be absent during the learning process, the resulting final values of the weights would…

Disordered Systems and Neural Networks · Physics 2009-11-07 W A van Leeuwen , B Wemmenhove

Recurrent Neural networks (RNN) have shown promising potential for learning dynamics of sequential data. However, artificial neural networks are known to exhibit poor robustness in presence of input noise, where the sequential architecture…

Machine Learning · Computer Science 2021-05-05 Arash Amini , Guangyi Liu , Nader Motee

Many networks in the brain are sparsely connected, and the brain eliminates synapses during development and learning. How could the brain decide which synapses to prune? In a recurrent network, determining the importance of a synapse…

Neurons and Cognition · Quantitative Biology 2021-07-20 Eli Moore , Rishidev Chaudhuri