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We try to perform geometrization of psychology by representing mental states, <<ideas>>, by points of a metric space, <<mental space>>. Evolution of ideas is described by dynamical systems in metric mental space. We apply the mental space…

Artificial Intelligence · Computer Science 2010-11-30 Andrei Khrennikov

We present for mental processes the program of mathematical mapping which has been successfully realized for physical processes. We emphasize that our project is not about mathematical simulation of brain's functioning as a complex physical…

Neurons and Cognition · Quantitative Biology 2010-11-30 Andrei Khrennikov

Socially assistive robots provide physical and mental assistance for humans via cognitive human-machine interactions. These robots should sustain long-term engaging interactions with humans in a similar way humans interact with each other.…

Human-Computer Interaction · Computer Science 2022-09-30 Maria Morão Patrício , Anahita Jamshidnejad

In this paper, we informally introduce dynamic mind-maps that represent a new approach on the basis of a dynamic construction of connectionist structures during the processing of a data stream. This allows the representation and processing…

Neural and Evolutionary Computing · Computer Science 2008-12-18 Christoph Schommer

The complexity of human cognition has meant that psychology makes more use of theory and conceptual models than perhaps any other biomedical field. To enable precise quantitative study of the full breadth of phenomena in psychological and…

Neurons and Cognition · Quantitative Biology 2025-11-11 Bryce-Allen Bagley , Navin Khoshnan

Trying to be effective (no matter who exactly and in what field) a person face the problem which inevitably destroys all our attempts to easily get to a desired goal. The problem is the existence of some insuperable barriers for our mind,…

Artificial Intelligence · Computer Science 2016-11-17 Kirill A. Sorudeykin

The pursuit of artificial consciousness requires conceptual clarity to navigate its theoretical and empirical challenges. This paper introduces a composite, multilevel, and multidimensional model of consciousness as a heuristic framework to…

Artificial Intelligence · Computer Science 2025-01-03 K. Evers , M. Farisco , R. Chatila , B. D. Earp , I. T. Freire , F. Hamker , E. Nemeth , P. F. M. J. Verschure , M. Khamassi

Beings, animate or inanimate, are dynamical systems which continuously interact with the (external and /or internal) environment through the physical or physiologic interfaces of their Kantian (representational) realities. And the nature of…

Neurons and Cognition · Quantitative Biology 2019-09-03 Jahan N. Schad

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

Humans have consciousness as the ability to perceive events and objects: a mental model of the world developed from the most impoverished of visual stimuli, enabling humans to make rapid decisions and take actions. Although spatial and…

Artificial Intelligence · Computer Science 2018-11-06 Lisheng Wu , Minne Li , Jun Wang

We consider the implications of the mathematical analysis of neurone-to-neurone dynamical complex networks. We show how the dynamical behaviour of small scale strongly connected networks lead naturally to non-binary information processing…

Neurons and Cognition · Quantitative Biology 2016-09-15 Peter Grindrod

This paper articulates metacognition using the language of statistical physics and Bayesian mechanics. Metacognitive beliefs, defined as beliefs about beliefs, find a natural description within this formalism, which allows us to define the…

Neurons and Cognition · Quantitative Biology 2024-06-17 Lars Sandved-Smith , Lancelot Da Costa

One of the current AI issues depicted in popular culture is the fear of conscious super AIs that try to take control over humanity. And as computational power goes upwards and that turns more and more into a reality, understanding…

Neurons and Cognition · Quantitative Biology 2023-05-22 Daniel Lopes

An approach to nonlinear dynamical modeling of interaction between conscious and automatic processes in the brain is proposed. Illustration of this approach on the nonlinear equation for the current density in the cortex is presented.…

Pattern Formation and Solitons · Physics 2007-05-23 E. A. Novikov

In our understanding, a mind-map is an adaptive engine that basically works incrementally on the fundament of existing transactional streams. Generally, mind-maps consist of symbolic cells that are connected with each other and that become…

Neural and Evolutionary Computing · Computer Science 2009-02-19 Claudine Brucks , Michael Hilker , Christoph Schommer , Cynthia Wagner , Ralph Weires

Nonlinear dynamical modeling of interaction between automatic and conscious processes in the human brain is considered in terms of the quaternion fields. The interaction is due, particularly, to the nonlinear firing rate of neurons.…

Pattern Formation and Solitons · Physics 2007-05-23 E. A. Novikov

There are ongoing divisions in the learning sciences between perspectives that treat cognition as occurring within individual minds and those that treat it as irreducibly distributed or situated in material and social contexts. We contend…

Physics Education · Physics 2010-03-03 Luke Conlin , Ayush Gupta , David Hammer

Recent advances at the intersection of control theory, neuroscience, and machine learning have revealed novel mechanisms by which dynamical systems perform computation. These advances encompass a wide range of conceptual, mathematical, and…

Machine Learning · Computer Science 2026-04-10 Arthur N. Montanari , Francesco Bullo , Dmitry Krotov , Adilson E. Motter

The principled design and discovery of biologically- and physically-informed models of neuronal dynamics has been advancing since the mid-twentieth century. Recent developments in artificial intelligence (AI) have accelerated this progress.…

Neurons and Cognition · Quantitative Biology 2021-12-24 Mahta Ramezanian Panahi , Germán Abrevaya , Jean-Christophe Gagnon-Audet , Vikram Voleti , Irina Rish , Guillaume Dumas

The information implicitly represented in the state of physical systems allows one to analyze them with analytical techniques from statistical mechanics and information theory. In the case of complex networks such techniques are inspired by…

Physics and Society · Physics 2023-08-09 Wout Merbis , Manlio de Domenico
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