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We try to perform geometrization of cognitive science and psychology by representing information states of cognitive systems by points of {\it mental space} given by a hierarchic $m$-adic tree. Associations are represented by balls and…

Neurons and Cognition · Quantitative Biology 2007-05-23 Andrei Khrennikov

Computational modeling helps neuroscientists to integrate and explain experimental data obtained through neurophysiological and anatomical studies, thus providing a mechanism by which we can better understand and predict the principles of…

Neurons and Cognition · Quantitative Biology 2023-09-22 Parvin Zarei Eskikand , David B Grayden , Tatiana Kameneva , Anthony N Burkitt , Michael R Ibbotson

Hippocampal cognitive map---a neuronal representation of the spatial environment---is broadly discussed in the computational neuroscience literature for decades. More recent studies point out that hippocampus plays a major role in producing…

Neurons and Cognition · Quantitative Biology 2017-10-18 Andrey Babichev , Yuri Dabaghian

The thesis explores the role machine learning methods play in creating intuitive computational models of neural processing. Combined with interpretability techniques, machine learning could replace human modeler and shift the focus of human…

Neurons and Cognition · Quantitative Biology 2020-10-20 Ilya Kuzovkin

Making sense of the world and acting in it relies on building simplified mental representations that abstract away aspects of reality. This principle of cognitive mapping is universal to agents with limited resources. Living organisms,…

Artificial Intelligence · Computer Science 2025-04-30 Marta Kryven , Cole Wyeth , Aidan Curtis , Kevin Ellis

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

Current theories of perception suggest that the brain represents features of the world as probability distributions, but can such uncertain foundations provide the basis for everyday vision? Perceiving objects and scenes requires knowing…

Neurons and Cognition · Quantitative Biology 2022-11-30 Andrey Chetverikov , Árni Kristjánsson

The informational synthesis of neural structures, processes, parameters and characteristics that allow a unified description and modeling as neural machines of natural and artificial neural systems is presented. The general informational…

Neural and Evolutionary Computing · Computer Science 2024-04-08 Iosif Iulian Petrila

Probabilistic conceptual network is a knowledge representation scheme designed for reasoning about concepts and categorical abstractions in utility-based categorization. The scheme combines the formalisms of abstraction and inheritance…

Artificial Intelligence · Computer Science 2013-03-08 Kim-Leng Poh , Michael R. Fehling

For complex life to evolve, a sophisticated nervous system for handling its complexities was fundamental. The demand resulted in the emergence of brain's computational facility, the neuronal network. This facet of the brain is attested…

Neurons and Cognition · Quantitative Biology 2019-09-16 Jahan N. Schad

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

In recent years, promising mathematical models have been suggested which aim to describe conscious experience and its relation to the physical domain. Whereas the axioms and metaphysical ideas of these theories have been carefully…

Neurons and Cognition · Quantitative Biology 2020-07-15 Johannes Kleiner

We envision a machine capable of solving mathematical problems. Dividing the quantitative reasoning system into two parts: thought processes and cognitive processes, we provide probabilistic descriptions of the architecture.

Artificial Intelligence · Computer Science 2023-08-21 Minzheng Li , Xiangzhong Fang , Haixin Yang

The brain is made up of a vast set of heterogeneous regions that dynamically organize into pathways as a function of task demands. Examples of such pathways can be found in the interactions between cortical and subcortical networks during…

Neurons and Cognition · Quantitative Biology 2025-11-24 Jack Cook , Danyal Akarca , Rui Ponte Costa , Jascha Achterberg

The mathematical representation of semantics is a key issue for Natural Language Processing (NLP). A lot of research has been devoted to finding ways of representing the semantics of individual words in vector spaces. Distributional…

Computation and Language · Computer Science 2014-11-13 Karl Moritz Hermann

This paper proposes a brain-inspired approach to quantum machine learning with the goal of circumventing many of the complications of other approaches. The fact that quantum processes are unitary presents both opportunities and challenges.…

Machine Learning · Computer Science 2019-05-16 Bruce MacLennan

Procedural models (i.e. symbolic programs that output visual data) are a historically-popular method for representing graphics content: vegetation, buildings, textures, etc. They offer many advantages: interpretable design parameters,…

The use of cortical field potentials rather than the details of spike trains as the basis for cognitive information processing is proposed. This results in a space of cognitive elements with natural metrics. Sets of spike trains may also be…

Disordered Systems and Neural Networks · Physics 2016-08-31 Henry C. Tuckwell

In recent years, research unveiled more and more evidence for the so-called Bayesian Brain Paradigm, i.e. the human brain is interpreted as a probabilistic inference machine and Bayesian modelling approaches are hence used successfully. One…

Neural and Evolutionary Computing · Computer Science 2019-04-30 Kevin Jasberg , Sergej Sizov

Machines that can replicate human intelligence with type 2 reasoning capabilities should be able to reason at multiple levels of spatio-temporal abstractions and scales using internal world models. Devising formalisms to develop such…

Artificial Intelligence · Computer Science 2025-07-01 Vaisakh Shaj
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