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How physical networks of neurons, bound by spatio-temporal locality constraints, can perform efficient credit assignment, remains, to a large extent, an open question. In machine learning, the answer is almost universally given by the error…

Neurons and Cognition · Quantitative Biology 2026-01-13 Benjamin Ellenberger , Paul Haider , Jakob Jordan , Kevin Max , Ismael Jaras , Laura Kriener , Federico Benitez , Mihai A. Petrovici

In this paper, we propose a learning rule based on a back-propagation (BP) algorithm that can be applied to a hardware-based deep neural network (HW-DNN) using electronic devices that exhibit discrete and limited conductance…

Neural and Evolutionary Computing · Computer Science 2018-08-02 Suhwan Lim , Jong-Ho Bae , Jai-Ho Eum , Sungtae Lee , Chul-Heung Kim , Dongseok Kwon , Byung-Gook Park , Jong-Ho Lee

Hebbian plasticity is a powerful principle that allows biological brains to learn from their lifetime experience. By contrast, artificial neural networks trained with backpropagation generally have fixed connection weights that do not…

Neural and Evolutionary Computing · Computer Science 2016-10-20 Thomas Miconi

The ubiquitous backpropagation algorithm requires sequential updates through the network introducing a locking problem. In addition, back-propagation relies on the transpose of forward weight matrices to compute updates, introducing a…

Machine Learning · Computer Science 2023-10-31 David Kappel , Khaleelulla Khan Nazeer , Cabrel Teguemne Fokam , Christian Mayr , Anand Subramoney

Artificial neural networks are trained by a standard backpropagation learning algorithm with regularization to model and predict the systematics of -decay of heavy and superheavy nuclei. This approach to regression is implemented in two…

Nuclear Theory · Physics 2019-10-29 Paulo S. A. Freitas , John W. Clark

A method that allows us to give a different treatment to any neuron inside feedforward neural networks is presented. The algorithm has been implemented with two very different learning methods: a standard Back-propagation (BP) procedure and…

Neural and Evolutionary Computing · Computer Science 2014-04-22 M. Konomi , G. M. Sacha

Backpropagation (BP) has been pivotal in advancing machine learning and remains essential in computational applications and comparative studies of biological and artificial neural networks. Despite its widespread use, the implementation of…

Neurons and Cognition · Quantitative Biology 2025-04-15 Xinhao Fan , Shreesh P Mysore

Despite significant recent advances in deep neural networks, training them remains a challenge due to the highly non-convex nature of the objective function. State-of-the-art methods rely on error backpropagation, which suffers from several…

Expectation Propagation (EP) is a widely used iterative message-passing algorithm that decomposes a global inference problem into multiple local ones. It approximates marginal distributions as ``beliefs'' using intermediate functions called…

Machine Learning · Statistics 2026-04-07 Zilu Zhao , Jichao Chen , Dirk Slock

Predictive Coding (PC) offers a brain-inspired alternative to backpropagation for neural network training, described as a physical system minimizing its internal energy. However, in practice, PC is predominantly digitally simulated,…

Machine Learning · Computer Science 2026-02-03 Cédric Goemaere , Gaspard Oliviers , Rafal Bogacz , Thomas Demeester

Efficient learning and model compression algorithm for deep neural network (DNN) is a key workhorse behind the rise of deep learning (DL). In this work, we propose a message passing based Bayesian deep learning algorithm called EM-TDAMP to…

Machine Learning · Computer Science 2024-06-11 Wei Xu , An Liu , Yiting Zhang , Vincent Lau

Ising machines, which are hardware implementations of the Ising model of coupled spins, have been influential in the development of unsupervised learning algorithms at the origins of Artificial Intelligence (AI). However, their application…

Neural and Evolutionary Computing · Computer Science 2023-05-31 Jérémie Laydevant , Danijela Markovic , Julie Grollier

Conventional computer vision models rely on very deep, feedforward networks processing whole images and trained offline with extensive labeled data. In contrast, biological vision relies on comparatively shallow, recurrent networks that…

Neural and Evolutionary Computing · Computer Science 2024-11-27 Osvaldo M Velarde , Lucas C Parra

Expectation Propagation (EP) is a widely used message-passing algorithm that decomposes a global inference problem into multiple local ones. It approximates marginal distributions (beliefs) using intermediate functions (messages). While…

Information Theory · Computer Science 2026-01-30 Zilu Zhao , Fangqing Xiao , Dirk Slock

A numerical algorithm is proposed to explore in a systematic way the trajectories of the eigenvalues of non-Hermitian matrices in the parametric space and exploit this in order to find the locations of defective eigenvalues in the complex…

Computational Physics · Physics 2020-04-08 Benoit Nennig , Emmanuel Perrey-Debain

Training deep neural networks on large-scale datasets requires significant hardware resources whose costs (even on cloud platforms) put them out of reach of smaller organizations, groups, and individuals. Backpropagation, the workhorse for…

Machine Learning · Computer Science 2020-09-22 Alexander Ororbia , Ankur Mali , Daniel Kifer , C. Lee Giles

Signal recovery from unitarily invariant measurements is investigated in this paper. A message-passing algorithm is formulated on the basis of expectation propagation (EP). A rigorous analysis is presented for the dynamics of the algorithm…

Information Theory · Computer Science 2019-05-22 Keigo Takeuchi

Both non-neural and neural biological systems can learn. So rather than focusing on purely brain-like learning, efforts are underway to study learning in physical systems. Such efforts include equilibrium propagation (EP) and coupled…

Soft Condensed Matter · Physics 2022-06-24 Vidyesh Rao Anisetti , B. Scellier , J. M. Schwarz

The artificial neural network is a popular framework in machine learning. To empower individual neurons, we recently suggested that the current type of neurons could be upgraded to 2nd order counterparts, in which the linear operation…

Machine Learning · Computer Science 2017-08-22 Fenglei Fan , Wenxiang Cong , Ge Wang

Deep Operator Networks (DeepONets) are among the most prominent frameworks for operator learning, grounded in the universal approximation theorem for operators. However, training DeepONets typically requires significant computational…

Machine Learning · Computer Science 2025-01-17 Hwijae Son