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We present a structured neural network architecture that is inspired by linear time-varying dynamical systems. The network is designed to mimic the properties of linear dynamical systems which makes analysis and control simple. The…

Robotics · Computer Science 2018-08-06 Alexander Broad , Ian Abraham , Todd Murphey , Brenna Argall

Much has been learned about plasticity of biological synapses from empirical studies. Hebbian plasticity is driven by correlated activity of presynaptic and postsynaptic neurons. Synapses that converge onto the same neuron often behave as…

Neural and Evolutionary Computing · Computer Science 2017-04-04 H. Sebastian Seung , Jonathan Zung

Learning and the ability to learn are important factors in development and evolutionary processes [1]. Depending on the level, the complexity of learning can strongly vary. While associative learning can explain simple learning behaviour…

Neurons and Cognition · Quantitative Biology 2007-05-23 Reimer Kuehn , Ion-Olimpiu Stamatescu

An important open question in computational neuroscience is how various spatially tuned neurons, such as place cells, are used to support the learning of reward-seeking behavior of an animal. Existing computational models either lack…

Neurons and Cognition · Quantitative Biology 2022-05-18 Yuanxiang Gao

Mammals can generate autonomous behaviors in various complex environments through the coordination and interaction of activities at different levels of their central nervous system. In this paper, we propose a novel hierarchical learning…

Robotics · Computer Science 2024-08-08 Pei Zhang , Zhaobo Hua , Jinliang Ding

Recently, some studies started to unveil the wealthy of interactions that occur between groups of nodes when looking at the small scale of interactions taking place in complex networks. Such findings claim for a new systematic methodology…

Physics and Society · Physics 2016-07-26 Cesar H. Comin , João B. Bunoro , Matheus P. Viana , Luciano da F. Costa

In this work we study a Hebbian neural network, where neurons are arranged according to a hierarchical architecture such that their couplings scale with their reciprocal distance. As a full statistical mechanics solution is not yet…

Disordered Systems and Neural Networks · Physics 2016-01-26 Elena Agliari , Adriano Barra , Andrea Galluzzi , Francesco Guerra , Daniele Tantari , Flavia Tavani

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

Learning to produce spatiotemporal sequences is a common task that the brain has to solve. The same neural substrate may be used by the brain to produce different sequential behaviours. The way the brain learns and encodes such tasks…

Neurons and Cognition · Quantitative Biology 2020-07-01 Amadeus Maes , Mauricio Barahona , Claudia Clopath

Biological networks have been recently found to exhibit many topological properties of the so-called complex networks. It has been reported that they are, in general, both highly skewed and directed. In this paper, we report on the dynamics…

Molecular Networks · Quantitative Biology 2007-05-23 Jesus Gomez-Gardenes , Yamir Moreno , Luis M. Floria

Over the last few years, large neural generative models, capable of synthesizing semantically rich passages of text or producing complex images, have recently emerged as a popular representation of what has come to be known as ``generative…

Neurons and Cognition · Quantitative Biology 2023-11-07 Alexander Ororbia , Mary Alexandria Kelly

The concept of node walk in graphs and complex networks has been addressed, consisting of one or more nodes that move into adjacent nodes, henceforth incorporating the respective connections. This type of dynamics is then applied to subsume…

Physics and Society · Physics 2024-06-07 Alexandre Benatti , Luciano da F. Costa

Diluted neural networks with continuous neurons and nonmonotonic transfer function are studied, with both fixed and dynamic synapses. A noisy stimulus with periodic variance results in a mechanism for controlling chaos in neural systems…

Disordered Systems and Neural Networks · Physics 2009-10-31 D. Caroppo , M. Mannarelli , G. Nardulli , S. Stramaglia

We explore the use of Physics Informed Neural Networks to analyse nonlinear Hamiltonian Dynamical Systems with a first integral of motion. In this work, we propose an architecture which combines existing Hamiltonian Neural Network…

Machine Learning · Computer Science 2023-08-09 Vedanta Thapar

Adaptation plays a fundamental role in shaping the structure of a complex network and improving its functional fitting. Even when increasing the level of synchronization in a biological system is considered as the main driving force for…

Physics and Society · Physics 2018-04-11 Vanesa Avalos-Gaytán , J. A. Almendral , I. Leyva , F. Battiston , V. Nicosia , V. Latora , S. Boccaletti

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

This paper introduces a new neural network model that aims to mimic the biological brain more closely by structuring the network as a complete directed graph that processes continuous data for each timestep. Current neural networks have…

Neural and Evolutionary Computing · Computer Science 2024-01-10 Frank Li

An established normative approach for understanding the algorithmic basis of neural computation is to derive online algorithms from principled computational objectives and evaluate their compatibility with anatomical and physiological…

Neurons and Cognition · Quantitative Biology 2023-08-04 David Lipshutz , Yanis Bahroun , Siavash Golkar , Anirvan M. Sengupta , Dmitri B. Chklovskii

The modular and hierarchical organization of the brain is believed to support the coexistence of segregated (specialization) and integrated (binding) information processes. A relevant question is yet to understand how such architecture…

Neurons and Cognition · Quantitative Biology 2025-06-19 Raphaël Bergoin , Alessandro Torcini , Gustavo Deco , Mathias Quoy , Gorka Zamora-López

We introduce a novel spiking neural network model for learning distributed internal representations from data in an unsupervised procedure. We achieved this by transforming the non-spiking feedforward Bayesian Confidence Propagation Neural…

Neural and Evolutionary Computing · Computer Science 2023-05-12 Naresh Ravichandran , Anders Lansner , Pawel Herman