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This paper reports the results of an experiment on the use of Kak's B-Matrix approach to spreading activity in a Hebbian neural network. Specifically, it concentrates on the memory retrieval from single neurons and compares the performance…

Neural and Evolutionary Computing · Computer Science 2009-11-19 Krishna Chaithanya Lingashetty

The paper examines the problem of accessing a vector memory from a single neuron in a Hebbian neural network. It begins with the review of the author's earlier method, which is different from the Hopfield model in that it recruits…

Neural and Evolutionary Computing · Computer Science 2009-05-26 Subhash Kak

The formation of network structure is mainly influenced by an individual node's activity and its memory, where activity can usually be interpreted as the individual inherent property and memory can be represented by the interaction strength…

Physics and Society · Physics 2015-12-15 Hyewon Kim , Meesoon Ha , Hawoong Jeong

Sequences of neuronal activation have long been implicated in a variety of brain functions. In particular, these sequences have been tied to memory formation and spatial navigation in the hippocampus, a region of mammalian brains.…

Neurons and Cognition · Quantitative Biology 2016-03-10 Zachary Roth

Synaptic strength can be seen as probability to propagate impulse, and according to synaptic plasticity, function could exist from propagation activity to synaptic strength. If the function satisfies constraints such as continuity and…

Neurons and Cognition · Quantitative Biology 2019-04-25 Sizhong Lan

Network representation learning has exploded recently. However, existing studies usually reconstruct networks as sequences or matrices, which may cause information bias or sparsity problem during model training. Inspired by a cognitive…

Machine Learning · Computer Science 2019-10-01 Jie Bai , Linjing Li , Daniel Zeng

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

This paper continues on the work of the B-Matrix approach in hebbian learning proposed by Dr. Kak. It reports the results on methods of improving the memory retrieval capacity of the hebbian neural network which implements the B-Matrix…

Neural and Evolutionary Computing · Computer Science 2010-06-25 Krishna Chaithanya Lingashetty

Human close-range proximity interactions are the key determinant for spreading processes like knowledge diffusion, norm adoption, and infectious disease transmission. These dynamical processes can be modeled with time-respecting paths on…

Physics and Society · Physics 2026-05-28 Silvia Guerrini , Ciro Cattuto , Lorenzo Dall'Amico

This PhD thesis is focused on the central idea that single neurons in the brain should be regarded as temporally precise and highly complex spatio-temporal pattern recognizers. This is opposed to the prevalent view of biological neurons as…

Neurons and Cognition · Quantitative Biology 2023-09-27 David Beniaguev

Common measures of neural representational (dis)similarity are designed to be insensitive to rotations and reflections of the neural activation space. Motivated by the premise that the tuning of individual units may be important, there has…

Machine Learning · Computer Science 2023-11-17 Meenakshi Khosla , Alex H. Williams

To gain insight into the neural events responsible for visual perception of static and dynamic optical patterns, we study how neural activation spreads in arrays of inhibition-stabilized neural networks with nearest-neighbor coupling. The…

Neurons and Cognition · Quantitative Biology 2016-09-02 Sergey Savel'ev , Sergei Gepshtein

A large number of neural network models of associative memory have been proposed in the literature. These include the classical Hopfield networks (HNs), sparse distributed memories (SDMs), and more recently the modern continuous Hopfield…

Neural and Evolutionary Computing · Computer Science 2022-06-20 Beren Millidge , Tommaso Salvatori , Yuhang Song , Thomas Lukasiewicz , Rafal Bogacz

This paper is an extension to the memory retrieval procedure of the B-Matrix approach [6],[17] to neural network learning. The B-Matrix is a part of the interconnection matrix generated from the Hebbian neural network, and in memory…

Neural and Evolutionary Computing · Computer Science 2011-03-15 Prerana Laddha

Neurons in the primary visual cortex are more or less selective for the orientation of a light bar used for stimulation. A broad distribution of individual grades of orientation selectivity has in fact been reported in all species. A…

Neurons and Cognition · Quantitative Biology 2015-06-19 Sadra Sadeh , Stefan Rotter

There is growing interest in understanding how the structural interconnections among brain regions change with the occurrence of neurological diseases. Diffusion weighted MRI imaging has allowed researchers to non-invasively estimate a…

Applications · Statistics 2015-10-20 Daniele Durante , Madelaine Daianu , Neda Jahanshad , Paul M. Thompson , David B. Dunson

Current concepts of neural networks have emerged over two centuries of progress beginning with the neural doctrine to the idea of neural cell assemblies. Presently the model of neural networks involves distributed neural circuits of nodes,…

Neurons and Cognition · Quantitative Biology 2024-07-30 M. Ram Murty , A. Narayan Prasad

Brain networks exhibit complications such as noise, neuron failures, and partial synaptic connectivity. These can make it difficult to model and analyze their behavior. This paper describes a way to address this difficulty, namely, breaking…

Data Structures and Algorithms · Computer Science 2025-03-25 Nancy Lynch

In this paper, we study approximation properties of single hidden layer neural networks with weights varying on finitely many directions and thresholds from an open interval. We obtain a necessary and at the same time sufficient measure…

Machine Learning · Computer Science 2023-04-05 Vugar Ismailov , Ekrem Savas

The study of neuronal morphology is important not only for its potential relationship with neuronal dynamics, but also as a means to classify diverse types of cells and compare than among species, organs, and conditions. In the present…

Neurons and Cognition · Quantitative Biology 2024-03-11 Alexandre Benatti , Henrique F. de Arruda , Luciano da F. Costa
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