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A mathematical model is a function taking certain arguments and returning a theoretical prediction of a feature of a physical system. The arguments to the mathematical model can be split into two groups; (a) controllable variables of the…

Methodology · Statistics 2025-10-15 Antony M. Overstall , James M. McGree

Predicting another person's upcoming action to build an appropriate response is a regular occurrence in the domain of motor control. In this review we discuss conceptual and experimental approaches aiming at the neural basis of predicting…

Neurons and Cognition · Quantitative Biology 2014-09-25 C. D. Vargas , M. L. Rangel , A. Galves

A new constructivist approach to modeling in economics and theory of consciousness is proposed. The state of elementary object is defined as a set of its measurable consumer properties. A proprietor's refusal or consent for the offered…

General Physics · Physics 2011-10-25 S. I. Melnyk , I. G. Tuluzov

Estimating the Shannon information associated with individual neurons is a non-trivial problem. Three key methods used to estimate the mutual information between neuron inputs and outputs are described, and a list of further readings is…

Neurons and Cognition · Quantitative Biology 2023-04-05 James V Stone

Post-inflationary boundary conditions are essential to the existence of our highly structured universe, and these can only come about through quantum mechanical state reductions - i.e., through measurements. The choice is between: An…

Quantum Physics · Physics 2007-05-23 Richard A Mould

The origin and development of consciousness is poorly understood. Although it is clearly a naturalistic phenomenon evolved through Darwinian evolution, explaining it in terms of physicochemical, neural, or symbolic mechanisms remains…

Neurons and Cognition · Quantitative Biology 2014-10-20 J. H. van Hateren

Compositionality in language refers to how much the meaning of some phrase can be decomposed into the meaning of its constituents and the way these constituents are combined. Based on the premise that substitution by synonyms is…

Computation and Language · Computer Science 2017-03-13 Christina Lioma , Niels Dalum Hansen

This review presents recent and older results on elementary quantitative and qualitative aspects of consciousness and cognition and tackles the question "What is consciousness?" conjointly from biological, neuroscience-cognitive, physical…

Neurons and Cognition · Quantitative Biology 2018-07-17 Pierre Baudot

This work aims to rigorously define the values of perception, prediction, communication, and common sense in decision making. The defined quantities are decision-theoretic, but have information-theoretic analogues, e.g., they share some…

Information Theory · Computer Science 2026-01-13 Aolin Xu

We survey work on the paradigm called "computing by observing." Its central feature is that one considers the behavior of an evolving system as the result of a computation. To this end an observer records this behavior. It has turned out…

Computational Complexity · Computer Science 2009-06-22 Matteo Cavaliere , Peter Leupold

Due to the self-referencing aspect, consciousness is placed in a unique non-computable position among natural phenomena. Non-computable consciousness was previously analyzed on the basis of self-referential cyclical time. This paper extends…

General Physics · Physics 2017-08-04 Daegene Song

I propose that quality of life can be compared despite the difference in values across cultures when it is experienced at the sensory and perceptual level. I argue that an approach to assessing quality of life which focuses on an…

Neurons and Cognition · Quantitative Biology 2024-02-06 Ankur Betageri

The relation between tempered distributions and measures is analysed and clarified. While this is straightforward for positive measures, it is surprisingly subtle for signed or complex measures.

Functional Analysis · Mathematics 2024-04-22 Michael Baake , Nicolae Strungaru

The debate around the interpretability of attention mechanisms is centered on whether attention scores can be used as a proxy for the relative amounts of signal carried by sub-components of data. We propose to study the interpretability of…

Machine Learning · Computer Science 2022-07-27 Jonathan Haab , Nicolas Deutschmann , Maria Rodríguez Martínez

I suggest that measurement in quantum theory should be regarded as a sense of time (of things happening), which is as important as the conventional relativistic notion of time. A key question -- of basic physical interest whether one…

General Relativity and Quantum Cosmology · Physics 2008-12-15 Adam Helfer

Mathematics is one of the ways our species makes sense of this world and I believe that it is inherent in our thinking machinery. The mathematics we do in turn is dependent on the way we view our universe and ourselves. Lakoff and Nunez…

General Mathematics · Mathematics 2020-07-02 Gizem Karaali

Ensuring that a predictor is not biased against a sensible feature is the key of Fairness learning. Conversely, Global Sensitivity Analysis is used in numerous contexts to monitor the influence of any feature on an output variable. We…

Statistics Theory · Mathematics 2021-09-21 Clément Bénesse , Fabrice Gamboa , Jean-Michel Loubes , Thibaut Boissin

In this paper we describe a statistical procedure to account for differences in grading practices from one course to another. The goal is to define a course "inflatedness" and a student "aptitude" that best captures one's intuitive notions…

Applications · Statistics 2012-09-06 Robert J. Vanderbei , Gordon Scharf , Daniel Marlow

A number of concepts are included in the term 'consciousness'. We choose to concentrate here on phenomenal consciousness, the process through which we are able to experience aspects of our environment or of our physical state. We probably…

Neurons and Cognition · Quantitative Biology 2011-08-23 Jean-Louis Dessalles , Tiziana Zalla

We study how well a real number can be approximated by sums of two or more rational numbers with denominators up to a certain size.

Number Theory · Mathematics 2007-05-23 Tsz Ho Chan , Angel V. Kumchev