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An elementary cellular automaton with memory is a chain of finite state machines (cells) updating their state simultaneously and by the same rule. Each cell updates its current state depending on current states of its immediate neighbours…

Cellular Automata and Lattice Gases · Physics 2018-03-16 Genaro J. Martinez , Andrew Adamatzky , Kenichi Morita

A learning algorithm for multilayer neural networks based on biologically plausible mechanisms is studied. Motivated by findings in experimental neurobiology, we consider synaptic averaging in the induction of plasticity changes, which…

adap-org · Physics 2015-06-30 Konstantin Klemm , Stefan Bornholdt , Heinz Georg Schuster

Advances in neural recording methods enable sampling from populations of thousands of neurons during the performance of behavioral tasks, raising the question of how recorded activity relates to the theoretical models of computations…

Neurons and Cognition · Quantitative Biology 2020-07-01 Audrey J. Sederberg , Ilya Nemenman

Population-wide oscillations are ubiquitously observed in mesoscopic signals of cortical activity. In these network states a global oscillatory cycle modulates the propensity of neurons to fire. Synchronous activation of neurons has been…

Neurons and Cognition · Quantitative Biology 2017-07-04 Tobias Kühn , Moritz Helias

Computational models of vision have traditionally been developed in a bottom-up fashion, by hierarchically composing a series of straightforward operations - i.e. convolution and pooling - with the aim of emulating simple and complex cells…

Computer Vision and Pattern Recognition · Computer Science 2022-03-23 Simone Azeglio , Simone Poetto , Luca Savant Aira , Marco Nurisso

We report experimental results obtained with a circuit possessing dynamic logic architecture based on one of the theoretical schemes proposed by H. Peng and collaborators in 2008. The schematic diagram of the electronic circuit and its…

Other Condensed Matter · Physics 2010-12-24 I. Campos-Canton , J. A. Pecina-Sanchez , E. Campos-Canton , H. C. Rosu

The universal optical logic gates, namely NAND and NOR gates, have been theoretically simulated by employing the energy sharing collision of bright optical solitons in the Manakov system, governing pulse propagation in a highly birefringent…

Exactly Solvable and Integrable Systems · Physics 2023-11-23 M. Vijayajayanthi , T. Kanna , M. Lakshmanan

Electromagnetic wave-based computing has emerged as an exciting paradigm with the potential to enable high-speed, parallel operations. In conventional computing, elementary logic gates, such as AND, OR, NOT and XOR, form the building blocks…

Applied Physics · Physics 2025-08-27 Ross Glyn MacDonald , Alex Yakovlev , Victor Pacheco-Peña

We show that the unavoidable increase in neuronal response latency to ongoing stimulation serves as a nonuniform gradual stretching of neuronal circuit delay loops and emerges as an essential mechanism in the formation of various types of…

Neurons and Cognition · Quantitative Biology 2012-12-07 Roni Vardi , Reut Timor , Shimon Marom , Moshe Abeles , Ido Kanter

Traditional symbolic reasoning engines, while attractive for their precision and explicability, have a few major drawbacks: the use of brittle inference procedures that rely on exact matching (unification) of logical terms, an inability to…

Computation and Language · Computer Science 2021-12-07 Aditya Kalyanpur , Tom Breloff , David Ferrucci

The recent discovery of special human neocortical pyramidal neurons that can individually learn the XOR function highlights the significant performance gap between biological and artificial neurons. The output of these pyramidal neurons…

Neural and Evolutionary Computing · Computer Science 2024-12-17 Matthew Mithra Noel , Shubham Bharadwaj , Venkataraman Muthiah-Nakarajan , Praneet Dutta , Geraldine Bessie Amali

Large language models (LLMs) have shown strong arithmetic reasoning capabilities when prompted with Chain-of-Thought (CoT) prompts. However, we have only a limited understanding of how they are processed by LLMs. To demystify it, prior work…

Artificial Intelligence · Computer Science 2024-09-04 Daking Rai , Ziyu Yao

We investigate the State-Controlled Cellular Neural Network (SC-CNN) framework of Murali-Lakshmanan-Chua (MLC) circuit system subjected to two logical signals. By exploiting the attractors generated by this circuit in different regions of…

Emerging Technologies · Computer Science 2021-06-30 P. Ashokkumar , M. Sathish Aravindh , A. Venkatesan , M. Lakshmanan

Understanding the relation between cortical neuronal network structure and neuronal activity is a fundamental unresolved question in neuroscience, with implications to our understanding of the mechanism by which neuronal networks evolve…

We present a computational and theoretical model of the neural mechanisms underlying human decision-making. We propose a detailed model of the interaction between brain regions, under a proposer-predictor-actor-critic framework.…

Neurons and Cognition · Quantitative Biology 2019-12-18 Seth Herd , Kai Krueger , Ananta Nair , Jessica Mollick , Randall OReilly

Brain connectivity analysis is now at the foreground of neuroscience research. A connectivity network is characterized by a graph, where nodes represent neural elements such as neurons and brain regions, and links represent statistical…

Methodology · Statistics 2015-11-04 Yin Xia , Lexin Li

In previous works, hexagonal cellular automata (CA) have been studied as a variation of the famous Game of Life CA, mainly for spiral phenomena simulations; where the most interesting constructions are related to the Belousov-Zhabotinsky…

Cellular Automata and Lattice Gases · Physics 2014-11-05 Rogelio Basurto , Paulina A. León , Genaro J. Martínez , Juan C. Seck-Tuoh-Mora

Biological neural networks are capable of recruiting different sets of neurons to encode different memories. However, when training artificial neural networks on a set of tasks, typically, no mechanism is employed for selectively producing…

Machine Learning · Computer Science 2023-05-17 Matthew J. Tilley , Michelle Miller , David J. Freedman

The Chua's circuit is examined using a State Controlled-Cellular Neural Network (SC-CNN) framework with two logical square wave input signals. We illustrate, in particular, that this nonlinear circuit can generate all the basic logic…

Chaotic Dynamics · Physics 2025-05-30 Ashokkumar P , Sathish Aravindh M , Venkatesan A , Lakshmanan M

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
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