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How can neural networks learn to efficiently represent complex and high-dimensional inputs via local plasticity mechanisms? Classical models of representation learning assume that input weights are learned via pairwise Hebbian-like…

Neurons and Cognition · Quantitative Biology 2022-10-04 Fabian Alexander Mikulasch , Lucas Rudelt , Viola Priesemann

A recent breakthrough in biologically-plausible normative frameworks for dimensionality reduction is based upon the similarity matching cost function and the low-rank matrix approximation problem. Despite clear biological interpretation,…

Neurons and Cognition · Quantitative Biology 2025-06-09 Veronica Centorrino , Francesco Bullo , Giovanni Russo

A set of fixed points of the Hopfield type neural network was under investigation. Its connection matrix is constructed with regard to the Hebb rule from a highly symmetric set of the memorized patterns. Depending on the external parameter…

Biological Physics · Physics 2007-05-23 Hong-Liang Lu , Xi-Jun Qiu

When engineers train deep learning models, they are very much 'flying blind'. Commonly used methods for real-time training diagnostics, such as monitoring the train/test loss, are limited. Assessing a network's training process solely…

Machine Learning · Computer Science 2021-10-27 Frank Schneider , Felix Dangel , Philipp Hennig

Biological neural networks self-organize according to local synaptic modifications to produce stable computations. How modifications at the synaptic level give rise to such computations at the network level remains an open question.…

Neurons and Cognition · Quantitative Biology 2026-01-21 David Lipshutz , Robert J. Lipshutz

A promising trend in deep learning replaces traditional feedforward networks with implicit networks. Unlike traditional networks, implicit networks solve a fixed point equation to compute inferences. Solving for the fixed point varies in…

Machine Learning · Computer Science 2021-12-28 Samy Wu Fung , Howard Heaton , Qiuwei Li , Daniel McKenzie , Stanley Osher , Wotao Yin

How neuronal circuits achieve credit assignment remains a central unsolved question in systems neuroscience. Various studies have suggested plausible solutions for back-propagating error signals through multi-layer networks. These purely…

Neurons and Cognition · Quantitative Biology 2023-12-12 Julian Rossbroich , Friedemann Zenke

Leveraging the characteristics of convolutional layers, neural networks are extremely effective for pattern recognition tasks. However in some cases, their decisions are based on unintended information leading to high performance on…

Computer Vision and Pattern Recognition · Computer Science 2022-07-26 Oren Nuriel , Sharon Fogel , Ron Litman

Artificial neural networks can be used to solve a variety of robotic tasks. However, they risk failing catastrophically when faced with out-of-distribution (OOD) situations. Several approaches have employed a type of synaptic plasticity…

Deep neural networks excel at image classification, but their performance is far less robust to input perturbations than human perception. In this work we explore whether this shortcoming may be partly addressed by incorporating…

Computer Vision and Pattern Recognition · Computer Science 2021-11-05 Bhavin Choksi , Milad Mozafari , Callum Biggs O'May , Benjamin Ador , Andrea Alamia , Rufin VanRullen

This paper proposes a novel approach to train deep neural networks by unlocking the layer-wise dependency of backpropagation training. The approach employs additional modules called local critic networks besides the main network model to be…

Machine Learning · Computer Science 2018-09-28 Hojung Lee , Jong-seok Lee

We unify recent neural approaches to one-shot learning with older ideas of associative memory in a model for metalearning. Our model learns jointly to represent data and to bind class labels to representations in a single shot. It builds…

Neural and Evolutionary Computing · Computer Science 2018-07-16 Tsendsuren Munkhdalai , Adam Trischler

Recurrent neural networks in the chaotic regime exhibit complex dynamics reminiscent of high-level cortical activity during behavioral tasks. However, existing training methods for such networks are either biologically implausible, or…

Neurons and Cognition · Quantitative Biology 2015-12-09 Thomas Miconi

To tackle interpretability in deep learning, we present a novel framework to jointly learn a predictive model and its associated interpretation model. The interpreter provides both local and global interpretability about the predictive…

Machine Learning · Computer Science 2022-02-24 Jayneel Parekh , Pavlo Mozharovskyi , Florence d'Alché-Buc

Deep-learning electronic structure calculations show great potential for revolutionizing the landscape of computational materials research. However, current neural-network architectures are not deemed suitable for widespread general-purpose…

Computational Physics · Physics 2024-01-31 Yuxiang Wang , He Li , Zechen Tang , Honggeng Tao , Yanzhen Wang , Zilong Yuan , Zezhou Chen , Wenhui Duan , Yong Xu

In spite of remarkable progress in machine learning techniques, the state-of-the-art machine learning algorithms often keep machines from real-time learning (online learning) due in part to computational complexity in parameter…

Neural and Evolutionary Computing · Computer Science 2017-11-27 Guhyun Kim , Vladimir Kornijcuk , Dohun Kim , Inho Kim , Jaewook Kim , Hyo Cheon Woo , Ji Hun Kim , Cheol Seong Hwang , Doo Seok Jeong

We introduce a model of generalized Hebbian learning and retrieval in oscillatory neural networks modeling cortical areas such as hippocampus and olfactory cortex. Recent experiments have shown that synaptic plasticity depends on spike…

Disordered Systems and Neural Networks · Physics 2007-05-23 Silvia Scarpetta , Zhaoping Li , John Hertz

This document is a follow-up to our previous paper dedicated to a vectorized derivation of backpropagation in CNNs. Following the same principles and notations already put in place there, we now focus on transformer-based…

Machine Learning · Computer Science 2025-12-30 Laurent Boué

We perform an exploratory study of a new approach for evaluating Feynman integrals numerically. We apply the recently-proposed framework of physics-informed deep learning to train neural networks to approximate the solution to the…

High Energy Physics - Phenomenology · Physics 2024-07-24 Francesco Calisto , Ryan Moodie , Simone Zoia

Despite significant progress of applying deep learning methods to the field of content-based image retrieval, there has not been a software library that covers these methods in a unified manner. In order to fill this gap, we introduce…

Information Retrieval · Computer Science 2020-08-06 Benyi Hu , Ren-Jie Song , Xiu-Shen Wei , Yazhou Yao , Xian-Sheng Hua , Yuehu Liu