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In order to find out the limiting speed of solving a specific problem using computer, this essay provides a method based on information entropy. The relationship between the minimum computational complexity and information entropy change is…

Computational Complexity · Computer Science 2012-03-09 Xue Wu

This paper introduces abstractions that are meaningful for computers and that can be built and used according to computers' own criteria, i.e., computable abstractions. It is analyzed how abstractions can be seen to serve as the building…

Artificial Intelligence · Computer Science 2015-03-31 Alejandro Sanchez Guinea

Model-independent semantic requirements for user specification and interpretation of data before and after quantum computations are characterized. Classical computational costs of assigning classical data values to quantum registers and to…

Quantum Physics · Physics 2010-05-27 Chris Fields

The main power of artificial intelligence is not in modeling what we already know, but in creating solutions that are new. Such solutions exist in extremely large, high-dimensional, and complex search spaces. Population-based search…

Neural and Evolutionary Computing · Computer Science 2020-02-25 Risto Miikkulainen

One of the most fundamental problems in science is to define {\it quantitatively} the complexity of organized matters, i.e., {\it organized complexity}. Although many measures have been proposed toward this aim in previous decades, there is…

Information Theory · Computer Science 2016-08-03 Tatsuaki Okamoto

In this paper the author presents some non-conventional thoughts on the complexity of the Universe and the algorithmic reproducibility of the human brain, essentially sparked off by the notion of algorithmic complexity. We must warn that…

History and Overview · Mathematics 2007-05-23 Germano D'Abramo

Characterizing the content of a technical document in terms of its learning utility can be useful for applications related to education, such as generating reading lists from large collections of documents. We refer to this learning utility…

Computation and Language · Computer Science 2017-08-02 Emily Sheng , Prem Natarajan , Jonathan Gordon , Gully Burns

The past century has seen a steady increase in the need of estimating and predicting complex systems and making (possibly critical) decisions with limited information. Although computers have made possible the numerical evaluation of…

Statistics Theory · Mathematics 2017-01-13 Houman Owhadi , Clint Scovel

Recent work in algorithmic fairness has highlighted the challenge of defining racial categories for the purposes of anti-discrimination. These challenges are not new but have previously fallen to the state, which enacts race through…

Computers and Society · Computer Science 2023-09-14 Amina A. Abdu , Irene V. Pasquetto , Abigail Z. Jacobs

Human societies continuously transform scattered information into collective judgments and coordinated action, whether through markets discovering prices, governments allocating resources, communities enforcing norms, or science converging…

How do we assign value to economic transactions? To answer this question, we must consider whether the value of objects is inherent, is a product of social interaction, or involves other mechanisms. Economic theory predicts that there is an…

General Finance · Quantitative Finance 2014-03-28 Bradly Alicea

The familiar theories of physics have the feature that the application of the theory to make predictions in specific circumstances can be done by means of an algorithm. We propose a more precise formulation of this feature --- one based on…

General Relativity and Quantum Cosmology · Physics 2018-06-26 Robert Geroch , James B. Hartle

I present a computational-level model of semantic interference effects in word production. Word production is cast as a rate-distortion problem where an agent selects words to minimize a measure of cost while also minimizing the resources…

Neurons and Cognition · Quantitative Biology 2020-06-24 Richard Futrell

All sequential decision-making agents explore so as to acquire knowledge about a particular target. It is often the responsibility of the agent designer to construct this target which, in rich and complex environments, constitutes a onerous…

Machine Learning · Computer Science 2021-10-28 Dilip Arumugam , Benjamin Van Roy

Complex machine learning algorithms are used more and more often in critical tasks involving text data, leading to the development of interpretability methods. Among local methods, two families have emerged: those computing importance…

Machine Learning · Computer Science 2025-10-22 Gianluigi Lopardo , Damien Garreau

In the diverse array of work investigating the nature of human values from psychology, philosophy and social sciences, there is a clear consensus that values guide behaviour. More recently, a recognition that values provide a means to…

Artificial Intelligence · Computer Science 2026-02-09 Nardine Osman , Mark d'Inverno

Given that knowledge (intensive) work takes place immersed in truly heterogenous networks of knowledge representations (codified, narrative, embedded in routines, inscribed in artefacts), our analysis is geared towards how the…

Computers and Society · Computer Science 2018-03-21 Gunnar Ellingsen , Eric Monteiro

Optimal shelflisting invites profit maximization to become sensitive to the ways in which purchasing decisions are order-dependent. We study the computational complexity of the corresponding product arrangement problem when consumers are…

Computer Science and Game Theory · Computer Science 2016-11-15 Yongjie Yang , Dinko Dimitrov

The notion of a real-valued function is central to mathematics, computer science, and many other scientific fields. Despite this importance, there are hardly any positive results on decision procedures for predicate logical theories that…

Logic in Computer Science · Computer Science 2025-04-30 Stefan Ratschan

In combinatorics, the probabilistic method is a very powerful tool to prove the existence of combinatorial objects with interesting and useful properties. Explicit constructions of objects with such properties are often very difficult, or…

Computational Complexity · Computer Science 2007-05-23 Luca Trevisan