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Randomness is one of the most important resources in modern information science, since encryption founds upon the trust in random numbers. Since it is impossible to prove if an existing random bit string is truly random, it is relevant that…

Quantum Physics · Physics 2015-12-22 Lukas Oberreiter , Ilja Gerhardt

A fundamental problem in artificial intelligence is that nobody really knows what intelligence is. The problem is especially acute when we need to consider artificial systems which are significantly different to humans. In this paper we…

Artificial Intelligence · Computer Science 2007-05-23 Shane Legg , Marcus Hutter

The rapid development and application of natural language generation (NLG) techniques has revolutionized the field of automatic text production. However, these techniques are still limited in their ability to produce human-like text that is…

Computation and Language · Computer Science 2022-12-08 Jiangjie Chen , Yanghua Xiao

Random number generators are widely used in practical algorithms. Examples include simulation, number theory (primality testing and integer factorization), fault tolerance, routing, cryptography, optimization by simulated annealing, and…

Data Structures and Algorithms · Computer Science 2010-04-21 Richard P. Brent

To explain consciousness as a physical process we must acknowledge the role of energy in the brain. Energetic activity is fundamental to all physical processes and causally drives biological behaviour. Recent neuroscientific evidence can be…

Neurons and Cognition · Quantitative Biology 2018-10-15 Robert Pepperell

An algorithm counting the number of ones in a binary word is presented running in time $O(\log\log b)$ where $b$ is the number of ones. The operations available include bit-wise logical operations and multiplication.

Data Structures and Algorithms · Computer Science 2015-06-12 Holger Petersen

It is widely believed that the brain performs approximate probabilistic inference to estimate causal variables in the world from ambiguous sensory data. To understand these computations, we need to analyze how information is represented and…

Neurons and Cognition · Quantitative Biology 2017-05-16 Xaq Pitkow , Dora Angelaki

The ever-increasing need for random numbers is clear in many areas of computer science, from neural networks to optimization. As such, most common programming language provide easy access to Pseudorandom Number Generators. However, these…

Programming Languages · Computer Science 2021-09-28 Nils van den Honert , Diederick Vermetten , Anna V. Kononova

The human mind is known to be sensitive to complexity. For instance, the visual system reconstructs hidden parts of objects following a principle of maximum simplicity. We suggest here that higher cognitive processes, such as the selection…

Artificial Intelligence · Computer Science 2012-08-10 Jean-Louis Dessalles

We define a notion of randomness for individual and collections of formal languages based on automatic martingales acting on sequences of words from some underlying domain. An automatic martingale bets if the incoming word belongs to the…

Formal Languages and Automata Theory · Computer Science 2018-02-20 Birzhan Moldagaliyev

There are two important things in science: (A) Finding answers to given questions, and (B) Coming up with good questions. Our artificial scientists not only learn to answer given questions, but also continually invent new questions, by…

Machine Learning · Computer Science 2023-01-02 Vincent Herrmann , Louis Kirsch , Jürgen Schmidhuber

What can humans compute in their heads? We are thinking of a variety of Crypto Protocols, games like Sudoku, Crossword Puzzles, Speed Chess, and so on. The intent of this paper is to apply the ideas and methods of theoretical computer…

Human-Computer Interaction · Computer Science 2017-07-06 Manuel Blum , Santosh Vempala

Voice is increasingly being used as a biometric entity in many applications. These range from speaker identification and verification systems to human profiling technologies that attempt to estimate myriad aspects of the speaker's persona…

Sound · Computer Science 2025-06-24 Rita Singh , Bhiksha Raj

The framework of algorithmic knowledge assumes that agents use deterministic knowledge algorithms to compute the facts they explicitly know. We extend the framework to allow for randomized knowledge algorithms. We then characterize the…

Artificial Intelligence · Computer Science 2017-01-11 Joseph Y. Halpern , Riccardo Pucella

We question the commonly accepted statement that random numbers certified by Bell's theorem carry some special sort of randomness, so to say, quantum randomness or intrinsic randomness. We show that such numbers can be easily generated by…

Quantum Physics · Physics 2018-08-07 Andrei Khrennikov

Rationality is often related to optimal decision making. Humans are known to be bounded rational agents. However, recent advances in computing, and other scientific and technical fields along with large amount of data have led to a feeling…

Computers and Society · Computer Science 2023-06-21 Dibakar Das

The central problem with understanding brain and mind is the neural code issue: understanding the matter of our brain as basis for the phenomena of our mind. The richness with which our mind represents our environment, the parsimony of…

Neurons and Cognition · Quantitative Biology 2018-11-06 Christoph von der Malsburg

Program synthesis is the task of automatically generating a program consistent with a given specification. A natural way to specify programs is to provide examples of desired input-output behavior, and many current program synthesis…

Machine Learning · Computer Science 2020-07-28 Alexander Suh , Yuval Timen

In this note we describe a new method of counting the number of unordered factorizations of a natural number by means of a generating function and a recurrence relation arising from it, which improves an earlier result in this direction.

Discrete Mathematics · Computer Science 2008-11-24 Shamik Ghosh

The ability to understand and manipulate numbers and quantities emerges during childhood, but the mechanism through which humans acquire and develop this ability is still poorly understood. We explore this question through a model, assuming…

Neurons and Cognition · Quantitative Biology 2024-03-26 Neehar Kondapaneni , Pietro Perona
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