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A linear neural network is proposed for mamalian vision system in which backward connections from the primary visual cortex (V1) to the lateral geniculate nucleus play a key role. The backward connections control the flow of information…

Neurons and Cognition · Quantitative Biology 2007-05-23 Ted Hesselroth , Klaus Schulten

In this letter, we present an implementation of a neural microcircuit for image processing employing Hebbian-adaptive learning. The neuronal circuit utilizes only excitatory synapses to correlate action potentials, extracting the…

Computer Vision and Pattern Recognition · Computer Science 2016-11-15 C. Mayr , A. Heittmann , R. Schüffny

We introduce Graph Hopfield Networks, whose energy function couples associative memory retrieval with graph Laplacian smoothing for node classification. Gradient descent on this joint energy yields an iterative update interleaving Hopfield…

Machine Learning · Computer Science 2026-03-05 Abinav Rao , Alex Wa , Rishi Athavale

It has been shown that a neural network model recently proposed to describe basic memory performance is based on a ternary/binary coding/decoding algorithm which leads to a new neural network assembly memory model (NNAMM) providing…

Artificial Intelligence · Computer Science 2007-05-23 Petro M. Gopych

The Hopfield model describes a neural network that stores memories using all-to-all-coupled spins. Memory patterns are recalled under equilibrium dynamics. Storing too many patterns breaks the associative recall process because frustration…

We investigate a recently proposed model for cortical computation which performs relational inference. It consists of several interconnected, structurally equivalent populations of leaky integrate-and-fire (LIF) neurons, which are trained…

Neural and Evolutionary Computing · Computer Science 2017-03-21 Johannes Thiele , Peter Diehl , Matthew Cook

During the first part of life, the brain develops while it learns through a process called synaptogenesis. The neurons, growing and interacting with each other, create synapses. However, eventually the brain prunes those synapses. While…

Neural and Evolutionary Computing · Computer Science 2023-04-04 Andrea Ferigo , Giovanni Iacca

Understanding the memory capacity of neural networks remains a challenging problem in implementing artificial intelligence systems. In this paper, we address the notion of capacity with respect to Hopfield networks and propose a dynamic…

Neural and Evolutionary Computing · Computer Science 2017-09-19 Saarthak Sarup , Mingoo Seok

We extend the capabilities of neural networks by coupling them to external memory resources, which they can interact with by attentional processes. The combined system is analogous to a Turing Machine or Von Neumann architecture but is…

Neural and Evolutionary Computing · Computer Science 2014-12-11 Alex Graves , Greg Wayne , Ivo Danihelka

Recently a daily routine for associative neural networks has been proposed: the network Hebbian-learns during the awake state (thus behaving as a standard Hopfield model), then, during its sleep state, optimizing information storage, it…

Disordered Systems and Neural Networks · Physics 2020-01-29 Elena Agliari , Francesco Alemanno , Adriano Barra , Alberto Fachechi

We propose a neural embedding algorithm called Network Vector, which learns distributed representations of nodes and the entire networks simultaneously. By embedding networks in a low-dimensional space, the algorithm allows us to compare…

Social and Information Networks · Computer Science 2017-09-11 Hao Wu , Kristina Lerman

The neural mechanism of memory has a very close relation with the problem of representation in artificial intelligence. In this paper a computational model was proposed to simulate the network of neurons in brain and how they process…

Neurons and Cognition · Quantitative Biology 2020-12-02 Hui Wei

Hebbian learning limits Hopfield network storage capacity (pattern-to-neuron ratio around 0.14). We propose Kernel Logistic Regression (KLR) learning. Unlike linear methods, KLR uses kernels to implicitly map patterns to high-dimensional…

Machine Learning · Computer Science 2025-06-16 Akira Tamamori

Recently, the original storage prescription for the Hopfield model of neural networks -- as well as for its dense generalizations -- has been turned into a genuine Hebbian learning rule by postulating the expression of its Hamiltonian for…

Disordered Systems and Neural Networks · Physics 2024-10-04 Linda Albanese , Adriano Barra , Pierluigi Bianco , Fabrizio Durante , Diego Pallara

Network inference, the task of reconstructing interactions in a complex system from experimental observables, is a central yet extremely challenging problem in systems biology. While much progress has been made in the last two decades,…

Quantitative Methods · Quantitative Biology 2024-09-12 Stephen Y Zhang

To improve the storage capacity of the Hopfield model, we develop a version of the dreaming algorithm that perpetually reinforces the patterns to be stored (as in the Hebb rule), and erases the spurious memories (as in dreaming algorithms).…

Disordered Systems and Neural Networks · Physics 2025-06-03 Ludovica Serricchio , Dario Bocchi , Claudio Chilin , Raffaele Marino , Matteo Negri , Chiara Cammarota , Federico Ricci-Tersenghi

Neural networks are based on a simplified model of the brain. In this project, we wanted to relax the simplifying assumptions of a traditional neural network by making a model that more closely emulates the low level interactions of…

Machine Learning · Computer Science 2018-07-31 Jacob Beck , Zoe Papakipos

Ever since the last two decades of the past century pioneering studies in the field of statistical physics had focused their efforts on developing models of neural networks that could display memory storage and retrieval. Though many…

Disordered Systems and Neural Networks · Physics 2023-05-16 Enrico Ventura

In machine learning, error back-propagation in multi-layer neural networks (deep learning) has been impressively successful in supervised and reinforcement learning tasks. As a model for learning in the brain, however, deep learning has…

Machine Learning · Computer Science 2016-12-19 Thomas Mesnard , Wulfram Gerstner , Johanni Brea

Selection functionality is as fundamental to vector graphics as it is for raster data. But vector selection is quite different: instead of pixel-level labeling, we make a binary decision to include or exclude each vector primitive. In the…

Computer Vision and Pattern Recognition · Computer Science 2021-11-24 Sumit Chaturvedi , Michal Lukáč , Siddhartha Chaudhuri
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