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We present experimental results on the effects of using quantum or 'truly' random numbers, as opposed to pseudorandom numbers, in a system that exhibits computational creativity (given its ability to compose original chess problems). The…

Artificial Intelligence · Computer Science 2020-09-29 Azlan Iqbal

Given a list of N numbers, the maximum can be computed in N iterations. During these N iterations, the maximum gets updated on average as many times as the Nth harmonic number. We first use this fact to approximate the Nth harmonic number…

Data Structures and Algorithms · Computer Science 2017-04-24 Ali Dasdan

Non-deterministic random bits are needed in many scientific fields. Unfortunately today's computers are very limited in ability to produce them. We present here a method for extraction of non-deterministic random bits from random physics…

Computational Physics · Physics 2015-05-21 Mario Stipčević

LLMs are widely used for code generation and mathematical reasoning tasks where they are required to generate structured output. They either need to reason about code, generate code for a given specification, or reason using programs of…

Computation and Language · Computer Science 2026-04-21 Poorva Garg , Renato Lui Geh , Daniel Israel , Todd Millstein , Kyle Richardson , Guy Van den Broeck

We consider the following "partition and sum" operation on a natural number: Treating the number as a long string of digits insert several plus signs in between some of the digits and carry out the indicated sum. This results in a smaller…

History and Overview · Mathematics 2015-01-19 Steve Butler , Ron Graham , Richard Stong

Any problem is concerned with the mind, but what do minds make a decision on? Here we show that there are three conditions for the mind to make a certain answer. We found that some difficulties in physics and mathematics are in fact…

Other Computer Science · Computer Science 2010-03-24 Ching-an Hsiao

People are remarkably capable of generating their own goals, beginning with child's play and continuing into adulthood. Despite considerable empirical and computational work on goals and goal-oriented behavior, models are still far from…

Artificial Intelligence · Computer Science 2025-05-20 Guy Davidson , Graham Todd , Julian Togelius , Todd M. Gureckis , Brenden M. Lake

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

Random number generators (RNG) are an important resource in many areas: cryptography (both quantum and classical), probabilistic computation (Monte Carlo methods), numerical simulations, industrial testing and labeling, hazard games,…

Quantum Physics · Physics 2015-05-27 Mario Stipcevic

This paper aims to justify the concept of natural intelligence, the type of intelligence wider than human intelligence and its derivative, AI. I will argue that the process of life is a cognitive process and that organisms, from bacteria to…

Other Quantitative Biology · Quantitative Biology 2020-01-07 P Slijepcevic

Using language makes human beings surpass animals in wisdom. To let machines understand, learn, and use language flexibly, we propose a human-like general language processing (HGLP) architecture, which contains sensorimotor, association,…

Neurons and Cognition · Quantitative Biology 2020-06-01 Feng Qi , Guanjun Jiang

What is a population? This review considers how a population may be defined in terms of understanding the structure of the underlying genetics of the individuals involved. The main approach is to consider statistically identifiable groups…

Populations and Evolution · Quantitative Biology 2013-06-05 Daniel John Lawson

Human speech is the most important part of General Artificial Intelligence and subject of much research. The hypothesis proposed in this article provides explanation of difficulties that modern science tackles in the field of human brain…

Artificial Intelligence · Computer Science 2020-02-12 Andrey Chistyakov

Randomness comes in two qualitatively different forms. Apparent randomness can result both from ignorance or lack of control of degrees of freedom in the system. In contrast, intrinsic randomness should not be ascribable to any such cause.…

Quantum Physics · Physics 2014-03-12 Chirag Dhara , Gonzalo de la Torre , Antonio Acín

Understanding how to engage users is a critical question in many applications. Previous research has shown that unexpected or astonishing events can attract user attention, leading to positive outcomes such as engagement and learning. In…

Information Retrieval · Computer Science 2018-07-18 Nalin Chhibber , Rohail Syed , Mengqiu Teng , Joslin Goh , Kevyn Collins-Thompson , Edith Law

The generation of random numbers is a task of paramount importance in modern science. A central problem for both classical and quantum randomness generation is to estimate the entropy of the data generated by a given device. Here we present…

'If I cannot build it, I do not understand it.' So said Nobel laureate Richard Feynman, and by his metric, we understand a bit about physics, less about chemistry, and almost nothing about biology. When we fully understand a phenomenon, we…

Neurons and Cognition · Quantitative Biology 2017-04-13 Richard Granger

In a recent article a generalization of the binomial distribution associated with a sequence of positive numbers was examined. The analysis of the nonnegativeness of the formal expressions was a key-point to allow to give them a statistical…

Mathematical Physics · Physics 2015-06-04 H. Bergeron , E. M. F. Curado , J. P. Gazeau , Ligia M. C. S. Rodrigues

Machine learning is a field of computer science that builds algorithms that learn. In many cases, machine learning algorithms are used to recreate a human ability like adding a caption to a photo, driving a car, or playing a game. While the…

Computer Vision and Pattern Recognition · Computer Science 2017-09-21 Ruth Fong , Walter Scheirer , David Cox

Random numbers are indispensable for a variety of applications ranging from testing physics foundation to information encryption. In particular, nonlocality tests provide a strong evidence to our current understanding of nature -- quantum…