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In a pioneering classic, Warren McCulloch and Walter Pitts proposed a model of the central nervous system; motivated by EEG recordings of normal brain activity, Chv\' atal and Goldsmith asked whether or not this model can be engineered to…

Dynamical Systems · Mathematics 2016-03-08 Vašek Chvátal , Mark Goldsmith , Nan Yang

General wisdom is, mathematical operation is needed to generate number by numbers. It is pointed out that without any mathematical operation true random numbers can be generated by numbers through algorithmic process. It implies that human…

Data Structures and Algorithms · Computer Science 2009-06-16 Arindam Mitra

In a pioneering classic, Warren McCulloch and Walter Pitts proposed a model of the central nervous system. Motivated by EEG recordings of normal brain activity, Chv\'atal and Goldsmith asked whether or not these dynamical systems can be…

Dynamical Systems · Mathematics 2021-10-26 Vašek Chvátal , Mark Goldsmith , Nan Yang

The extraordinary computational power of the brain may be related in part to the fact that each of the smaller neural networks that compose it can behave transiently in many different ways, depending on its inputs. Mathematically, input…

Neurons and Cognition · Quantitative Biology 2008-03-29 Léonard Gérard , Jean-Jacques Slotine

We all are fascinated by the phenomena of intelligent behavior, as generated both by our own brains and by the brains of other animals. As physicists we would like to understand if there are some general principles that govern the structure…

Biological Physics · Physics 2007-05-23 William Bialek

It has been classically conjectured that the brain assigns probabilistic models to sequences of stimuli. An important issue associated with this conjecture is the identification of the classes of models used by the brain to perform this…

Neurons and Cognition · Quantitative Biology 2023-12-29 Fernando A. Najman , Antonio Galves , Marcela Svarc , Claudia D. Vargas

An artificial neural network can be used to generate a series of numbers. A boolean perceptron generates bit sequences with a periodic structure. The corresponding spectrum of cycle lengths is investigated analytically and numerically; it…

Disordered Systems and Neural Networks · Physics 2009-10-30 M. Schroeder , W. Kinzel

Plans for a new type of artificial brain are possible because of realistic neurons in logically structured arrays of controlled toggles, one toggle per neuron. Controlled toggles can be made to compute, in parallel, parameters of critical…

Emerging Technologies · Computer Science 2015-04-20 John Robert Burger

Our understanding of neural computation is founded on the assumption that neurons fire in response to a linear summation of inputs. Yet experiments demonstrate that some neurons are capable of complex functions that require interactions…

Biological Physics · Physics 2026-03-23 Christopher W. Lynn

Constructing electronic models of neurons has several applications including reproducing dynamics of biological neurons and their networks and neuroprosthetics. In the brain, most neurons themselves are in a non-oscillatory mode, and brain…

Adaptation and Self-Organizing Systems · Physics 2023-05-09 Nikita M. Egorov , Marina V. Sysoeva , Vladimir I. Ponomarenko , Ilya V. Sysoev

Synaptic plasticity allows cortical circuits to learn new tasks and to adapt to changing environments. How do cortical circuits use plasticity to acquire functions such as decision-making or working memory? Neurons are connected in complex…

Neurons and Cognition · Quantitative Biology 2023-03-08 Néstor Parga , Luis Serrano-Fernández , Joan Falcó-Roget

Neural spikes in the brain form stochastic sequences, i.e., belong to the class of pulse noises. This stochasticity is a counterintuitive feature because extracting information - such as the commonly supposed neural information of mean…

Neural and Evolutionary Computing · Computer Science 2015-03-31 Laszlo B. Kish , Claes-Goran Granqvist , Sergey M. Bezrukov , Tamas Horvath

Perceptions and actions, thoughts and memories result from coordinated activity in hundreds or even thousands of neurons in the brain. It is an old dream of the physics community to provide a statistical mechanics description for these and…

Disordered Systems and Neural Networks · Physics 2024-09-04 Leenoy Meshulam , William Bialek

There are two important things in science: (A) Finding answers to given questions, and (B) Coming up with good questions. Our artificial scientists not only learn to answer given questions, but also continually invent new questions, by…

Machine Learning · Computer Science 2023-01-02 Vincent Herrmann , Louis Kirsch , Jürgen Schmidhuber

Introduction: In contrast to current AI technology, natural intelligence -- the kind of autonomous intelligence that is realized in the brains of animals and humans to attain in their natural environment goals defined by a repertoire of…

Artificial Intelligence · Computer Science 2022-05-03 Christoph von der Malsburg , Thilo Stadelmann , Benjamin F. Grewe

Much of neuroscience aims at reverse engineering the brain, but we only record a small number of neurons at a time. We do not currently know if reverse engineering the brain requires us to simultaneously record most neurons or if multiple…

Neurons and Cognition · Quantitative Biology 2019-07-04 Elahe Arani , Sofia Triantafillou , Konrad P. Kording

In recent years, several studies have provided insight on the functioning of the brain which consists of neurons and form networks via interconnection among them by synapses. Neural networks are formed by interconnected systems of neurons,…

Neurons and Cognition · Quantitative Biology 2021-01-22 Martin C. Nwadiugwu

Providing the neurobiological basis of information processing in higher animals, spiking neural networks must be able to learn a variety of complicated computations, including the generation of appropriate, possibly delayed reactions to…

Neurons and Cognition · Quantitative Biology 2016-06-30 Dominik Thalmeier , Marvin Uhlmann , Hilbert J. Kappen , Raoul-Martin Memmesheimer

An increasing body of evidence suggests that the trial-to-trial variability of spiking activity in the brain is not mere noise, but rather the reflection of a sampling-based encoding scheme for probabilistic computing. Since the precise…

Artificial intelligence based on artificial neural networks, which are originally inspired by the biological architectures of human brain, has mostly been realized using software but executed on conventional von Neumann computers, where the…

Disordered Systems and Neural Networks · Physics 2020-01-29 Qi Zheng , Xiaorui Zhu , Yuanyuan Mi , Zhe Yuan , Ke Xia
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