English
Related papers

Related papers: Representation in Dynamical Systems

200 papers

Artificial Intelligence (AI) systems based solely on neural networks or symbolic computation present a representational complexity challenge. While minimal representations can produce behavioral outputs like locomotion or simple…

Neurons and Cognition · Quantitative Biology 2022-10-19 Bradly Alicea , Jesse Parent

P systems are computing conceptual computing devices that are at least as powerful as Turing machines. However, until recently it was not known how one can encode any recursive function as a P~system. Here we propose a new encoding of…

Formal Languages and Automata Theory · Computer Science 2018-09-25 Apostolos Syropoulos , Stratos Doumanis , Konstantinos T. Sotiriades

Conventional and current wisdom assumes that the brain represents probability as a continuous number to many decimal places. This assumption seems implausible given finite and scarce resources in the brain. Quantization is an information…

Neurons and Cognition · Quantitative Biology 2020-01-07 James Tee , Desmond P. Taylor

Discrete and continuous representations of content (e.g., of language or images) have interesting properties to be explored for the understanding of or reasoning with this content by machines. This position paper puts forward our opinion on…

Neural and Evolutionary Computing · Computer Science 2022-01-05 Ruben Cartuyvels , Graham Spinks , Marie-Francine Moens

Neurons, as eukaryotic cells, have powerful internal computation capabilities. One neuron can have many distinct states, and brains can use this capability. Processes of neuron growth and maintenance use chemical signalling between cell…

Neurons and Cognition · Quantitative Biology 2025-12-10 Robert Worden

We present a physically appealing and elegant picture for quantum computing using rules constructed for a game of darts. A dartboard is used to represent the state space in quantum mechanics and the act of throwing the dart is shown to have…

Popular Physics · Physics 2024-06-11 Ishaan Ganti , Srinivasan S. Iyengar

The human brain is a dynamical system whose extremely complex sensor-driven neural processes give rise to conceptual, logical cognition. Understanding the interplay between nonlinear neural dynamics and concept-level cognition remains a…

Neural and Evolutionary Computing · Computer Science 2024-11-19 Herbert Jaeger

Diagrammatic, analogical or iconic representations are often contrasted with linguistic or logical representations, in which the shape of the symbols is arbitrary. The aim of this paper is to make a case for the usefulness of diagrams in…

Computation and Language · Computer Science 2007-05-23 Catherine Recanati

We need much better understanding of information processing and computation as its primary form. Future progress of new computational devices capable of dealing with problems of big data, internet of things, semantic web, cognitive robotics…

General Literature · Computer Science 2013-12-10 Mark Burgin , Gordana Dodig-Crnkovic

The aim of this paper is to address the question: Can an artificial neural network (ANN) model be used as a possible characterization of the power of the human mind? We will discuss what might be the relationship between such a model and…

Neural and Evolutionary Computing · Computer Science 2016-11-23 Hector Zenil , Francisco Hernandez-Quiroz

Representation is a core issue in artificial intelligence. Humans use discrete language to communicate and learn from each other, while machines use continuous features (like vector, matrix, or tensor in deep neural networks) to represent…

Computer Vision and Pattern Recognition · Computer Science 2022-01-17 Yuqi Wang , Xu-Yao Zhang , Cheng-Lin Liu , Zhaoxiang Zhang

This paper considers neural representation through the lens of active inference, a normative framework for understanding brain function. It delves into how living organisms employ generative models to minimize the discrepancy between…

Neurons and Cognition · Quantitative Biology 2023-10-24 Giovanni Pezzulo , Leo D'Amato , Francesco Mannella , Matteo Priorelli , Toon Van de Maele , Ivilin Peev Stoianov , Karl Friston

The recent usage of technical systems in human-centric environments leads to the question, how to teach technical systems, e.g., robots, to understand, learn, and perform tasks desired by the human. Therefore, an accurate representation of…

Artificial Intelligence · Computer Science 2020-01-16 Kristina Scharei , Florian Heidecker , Maarten Bieshaar

Many different definitions of computational universality for various types of dynamical systems have flourished since Turing's work. We propose a general definition of universality that applies to arbitrary discrete time symbolic dynamical…

Computational Complexity · Computer Science 2007-05-23 Jean-Charles Delvenne , Petr Kurka , Vincent Blondel

The brain-as-computer metaphor has anchored the professed computational nature of the mind, wresting it down from the intangible logic of Platonic philosophy to a material basis for empirical science. However, as with many long-lasting…

We offer a general theoretical framework for brain and behavior that is evolutionarily and computationally plausible. The brain in our abstract model is a network of nodes and edges. Although it has some similarities to standard neural…

Artificial Intelligence · Computer Science 2022-04-12 Joseph Y. Halpern , Arnon Lotem

Unlike computation or the numerical analysis of differential equations, simulation does not have a well established conceptual and mathematical foundation. Simulation is an arguable unique union of modeling and computation. However,…

adap-org · Physics 2008-02-03 Steen Rasmussen , Christopher Barrett

Does the brain construct an efficient representation of the sensory world? We review progress on this question, focusing on a series of experiments in the last decade which use fly vision as a model system in which theory and experiment can…

Neurons and Cognition · Quantitative Biology 2007-12-31 William Bialek , Rob R. de Ruyter van Steveninck , Naftali Tishby

According to Dennett, the same system may be described using a `physical' (mechanical) explanatory stance, or using an `intentional' (belief- and goal-based) explanatory stance. Humans tend to find the physical stance more helpful for…

Machine Learning · Computer Science 2018-06-01 Laurent Orseau , Simon McGregor McGill , Shane Legg

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