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In this paper, we analyze axiomatic issues of unconventional computations from a methodological and philosophical point of view. We explain how the new models of algorithms changed the algorithmic universe, making it open and allowing…

General Literature · Computer Science 2012-07-05 Gordana Dodig-Crnkovic , Mark Burgin

Algorithms have been fundamental to recent global technological advances and, in particular, they have been the cornerstone of technical advances in one field rapidly being applied to another. We argue that algorithms possess fundamentally…

Machine Learning · Computer Science 2021-08-09 Petar Veličković , Charles Blundell

I will propose the notion that the universe is digital, not as a claim about what the universe is made of but rather about the way it unfolds. Central to the argument will be the concepts of symmetry breaking and algorithmic probability,…

Information Theory · Computer Science 2011-09-13 Hector Zenil

The quantum gravity has great difficulties with application of the probability notion. In given article this problem is analyzed according to algorithmic viewpoint. According to A.N. Kolmogorov, the probability notion can be connected with…

General Relativity and Quantum Cosmology · Physics 2009-10-28 V. D. Dzhunushaliev

Computational feasibility is a widespread concern that guides the framing and modeling of biological and artificial intelligence. The specification of cognitive system capacities is often shaped by unexamined intuitive assumptions about the…

Artificial Intelligence · Computer Science 2022-05-12 Federico Adolfi , Todd Wareham , Iris van Rooij

The question What is Complexity? has occupied a great deal of time and paper over the last 20 or so years. There are a myriad different perspectives and definitions but still no consensus. In this paper I take a phenomenological approach,…

Adaptation and Self-Organizing Systems · Physics 2015-02-12 Christopher R. Stephens

In these notes we review emergent phenomena in complex systems, emphasizing ways to identify potential underlying universal mechanisms that generates complexity. The discussion is centered around the emergence of collective behavior in…

Disordered Systems and Neural Networks · Physics 2008-04-02 Dante R. Chialvo

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

It is clear that the current attempts at using algorithms to create artificial neural networks have had mixed success at best when it comes to creating large networks and/or complex behavior. This should not be unexpected, as creating an…

Neural and Evolutionary Computing · Computer Science 2014-08-06 Sebastian Risi , Jinhong Zhang , Rasmus Taarnby , Peter Greve , Jan Piskur , Antonios Liapis , Julian Togelius

This article is a brief personal account of the past, present, and future of algorithmic randomness, emphasizing its role in inductive inference and artificial intelligence. It is written for a general audience interested in science and…

Information Theory · Computer Science 2012-02-10 Marcus Hutter

There are inherent limits in classical computation for it to serve as an adequate model of human cognition. In particular, non-commutativity, while ubiquitous in physics and psychology, cannot be sufficiently handled. We propose that we…

Neurons and Cognition · Quantitative Biology 2019-11-14 Hongbin Wang , Jack W. Smith , Yanlong Sun

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

The complexity of quantum computation remains poorly understood. While physicists attempt to find ways to create quantum computers, we still do not have much evidence one way or the other as to how useful these machines will be. The tools…

Quantum Physics · Physics 2007-05-23 Lance Fortnow

Various research initiatives try to utilize the operational principles of organisms and brains to develop alternative, biologically inspired computing paradigms and artificial cognitive systems. This paper reviews key features of the…

Adaptation and Self-Organizing Systems · Physics 2012-01-25 Andreas Schierwagen

This work builds on a rich discourse surrounding the social brain hypothesis as well as the definition and quantification of social complexity. We believe this manuscript provides a new perspective on the topic by pairing a conceptual…

Physics and Society · Physics 2025-03-25 Etienne Lein , Cécile Aprili , Jayaditya Deep , Isaac Kazuo Uyehara

We here analyse the question of developing artificial consciousness from an evolutionary perspective, taking the evolution of the human brain and its relation with consciousness as a reference model. This kind of analysis reveals several…

Neurons and Cognition · Quantitative Biology 2024-07-30 Michele Farisco , Kathinka Evers , Jean-Pierre Changeux

Complexity is an interdisciplinary concept which, first of all, addresses the question of how order emerges out of randomness. For many reasons matrices provide a very practical and powerful tool in approaching and quantifying the related…

Soft Condensed Matter · Physics 2008-12-18 S. Drozdz , J. Kwapien , J. Speth , M. Wojcik

This paper covers two topics: first an introduction to Algorithmic Complexity Theory: how it defines probability, some of its characteristic properties and past successful applications. Second, we apply it to problems in A.I. - where it…

Artificial Intelligence · Computer Science 2013-04-15 Ray Solomonoff

The aim of this paper is to give an overview of brain organoid computing, its characteristics, challenges, as well as possible advantages for future applications in the field of artificial intelligence. An important part is the extensive…

Emerging Technologies · Computer Science 2025-11-04 Yannic Talavera , Bernd Ulmann

Data Science and Machine learning have been growing strong for the past decade. We argue that to make the most of this exciting field we should resist the temptation of assuming that forecasting can be reduced to brute-force data analytics.…

Artificial Intelligence · Computer Science 2020-05-12 Hykel Hosni , Angelo Vulpiani