Search Results - Computational Complexity and Algorithmic Information Theory
-
1
Computational Creativity and Aesthetics with Algorithmic Information Theory
ISSN: 1099-4300, 1099-4300Published: Switzerland MDPI AG 08.12.2021Published in Entropy (Basel, Switzerland) (08.12.2021)“…We build an analysis based on the Algorithmic Information Theory of computational creativity and extend it to revisit computational aesthetics, thereby, improving on the existing efforts of its formulation…”
Get full text
Journal Article -
2
Why Computational Complexity Requires Stricter Martingales
ISSN: 1432-4350, 1433-0490Published: New York Springer Nature B.V 01.04.2006Published in Theory of computing systems (01.04.2006)“… In computational complexity and algorithmic information theory, a martingale is typically a function d on strings such that E(d(wb)| w) = d(w…”
Get full text
Journal Article -
3
Quantum algorithmic measurement
ISSN: 2041-1723, 2041-1723Published: London Nature Publishing Group UK 16.02.2022Published in Nature communications (16.02.2022)“… However, a systematic treatment and comprehensive framework are missing. Here we initiate the systematic study of experimental quantum physics from the perspective of computational complexity…”
Get full text
Journal Article -
4
Symmetry and simplicity spontaneously emerge from the algorithmic nature of evolution
ISSN: 1091-6490, 1091-6490Published: United States 15.03.2022Published in Proceedings of the National Academy of Sciences - PNAS (15.03.2022)“…? Just as monkeys randomly typing into a computer language will preferentially produce outputs that can be generated by shorter algorithms, so the coding theorem from algorithmic information theory…”
Get more information
Journal Article -
5
Uncomputability and undecidability in economic theory
ISSN: 0096-3003, 1873-5649Published: Amsterdam Elsevier Inc 15.10.2009Published in Applied mathematics and computation (15.10.2009)“…] are frontier research subjects. All of them, each in its own way, are underpinned by (classical) recursion theory – and its applied branches, say computational complexity theory or algorithmic information theory…”
Get full text
Journal Article Conference Proceeding -
6
Algorithmic No-Cloning Theorem
ISSN: 0018-9448, 1557-9654Published: New York IEEE 01.09.2019Published in IEEE transactions on information theory (01.09.2019)“…We introduce notions of algorithmic mutual information and deficiency of randomness of quantum states…”
Get full text
Journal Article -
7
Information Complexity Ranking: A New Method of Ranking Images by Algorithmic Complexity
ISSN: 1099-4300, 1099-4300Published: Switzerland MDPI AG 01.03.2023Published in Entropy (Basel, Switzerland) (01.03.2023)“…Predicting how an individual will perceive the visual complexity of a piece of information is still a relatively unexplored domain, although it can be useful in many contexts such as for the design of human–computer interfaces…”
Get full text
Journal Article -
8
Effective Strong Dimension in Algorithmic Information and Computational Complexity
ISSN: 0097-5397, 1095-7111Published: Philadelphia Society for Industrial and Applied Mathematics 01.01.2007Published in SIAM journal on computing (01.01.2007)“… [Proceedings of the 15th IEEE Conference on Computational Complexity, Florence, Italy, 2000, IEEE Computer Society Press, Piscataway, NJ, 2000, pp. 158-169…”
Get full text
Journal Article -
9
Efficient Computation of Collatz Sequence Stopping Times: A Novel Algorithmic Approach
ISSN: 2169-3536, 2169-3536Published: IEEE 2025Published in IEEE access (2025)“… This research focuses on designing an efficient algorithm to compute the stopping time of numbers in the Collatz sequence, achieving significant computational improvements…”
Get full text
Journal Article -
10
LSD-induced increase of Ising temperature and algorithmic complexity of brain dynamics
ISSN: 1553-7358, 1553-734X, 1553-7358Published: United States Public Library of Science 03.02.2023Published in PLoS computational biology (03.02.2023)“… (system temperature, critical point, susceptibility) and from algorithmic complexity. We hypothesized, along the lines…”
Get full text
Journal Article -
11
Effective fractal dimensions
ISSN: 0942-5616, 1521-3870Published: Berlin WILEY-VCH Verlag 01.01.2005Published in Mathematical logic quarterly (01.01.2005)“… This paper surveys these developments and their applications in algorithmic information theory and computational complexity theory. (© 2004 WILEY‐VCH Verlag GmbH & Co…”
Get full text
Journal Article -
12
Numerical evaluation of algorithmic complexity for short strings: A glance into the innermost structure of randomness
ISSN: 0096-3003, 1873-5649Published: Elsevier Inc 15.09.2012Published in Applied mathematics and computation (15.09.2012)“… An output frequency distribution is then computed, from which the algorithmic probability is calculated and the algorithmic complexity evaluated by way of the Levin…”
Get full text
Journal Article -
13
Algorithmic and Complexity Aspects of Path Computation in Multi-Layer Networks
ISSN: 1063-6692, 1558-2566Published: New York IEEE 01.12.2018Published in IEEE/ACM transactions on networking (01.12.2018)“…Carrier-grade networks comprise several layers where different protocols coexist. Nowadays, most of these networks have different control planes to manage…”
Get full text
Journal Article -
14
Approximations of algorithmic and structural complexity validate cognitive-behavioral experimental results
ISSN: 1662-5188, 1662-5188Published: Switzerland Frontiers Research Foundation 24.01.2023Published in Frontiers in computational neuroscience (24.01.2023)“… By numerically approximating algorithmic (Kolmogorov) complexity ( K ), we establish an objective tool to characterize behavioral complexity…”
Get full text
Journal Article -
15
Algorithmic solutions for maximizing shareable costs
ISSN: 0028-3045, 1097-0037Published: Hoboken, USA John Wiley & Sons, Inc 01.12.2024Published in Networks (01.12.2024)“… The article first gives a fairly complete picture of the computational complexity of this optimization problem, its relation to optimization over the core itself, and its equivalence…”
Get full text
Journal Article -
16
A Decomposition Method for Global Evaluation of Shannon Entropy and Local Estimations of Algorithmic Complexity
ISSN: 1099-4300, 1099-4300Published: Basel MDPI AG 01.08.2018Published in Entropy (Basel, Switzerland) (01.08.2018)“…) that approximates local estimations of algorithmic complexity based on Solomonoff–Levin’s theory of algorithmic probability providing a closer connection to algorithmic…”
Get full text
Journal Article -
17
Descriptional and computational complexity of finite automata—A survey
ISSN: 0890-5401, 1090-2651Published: Amsterdam Elsevier Inc 01.03.2011Published in Information and computation (01.03.2011)“…Finite automata are probably best known for being equivalent to right-linear context-free grammars and, thus, for capturing the lowest level of the…”
Get full text
Journal Article Conference Proceeding -
18
Statistical Complexity Analysis of Turing Machine tapes with Fixed Algorithmic Complexity Using the Best-Order Markov Model
ISSN: 1099-4300, 1099-4300Published: Switzerland MDPI AG 16.01.2020Published in Entropy (Basel, Switzerland) (16.01.2020)“…Sources that generate symbolic sequences with algorithmic nature may differ in statistical complexity because they create structures that follow algorithmic schemes, rather than generating symbols…”
Get full text
Journal Article -
19
Disentangling the Computational Complexity of Network Untangling
ISSN: 1432-4350, 1433-0490Published: New York Springer US 01.02.2024Published in Theory of computing systems (01.02.2024)“… Both variants of the problem are NP-hard. In this paper, we initiate a multivariate complexity analysis involving the following parameters…”
Get full text
Journal Article -
20
Dynamic Planar Voronoi Diagrams for General Distance Functions and Their Algorithmic Applications
ISSN: 0179-5376, 1432-0444Published: New York Springer US 01.10.2020Published in Discrete & computational geometry (01.10.2020)“… (convex, pairwise disjoint) sites that have constant description complexity (e.g., points, line segments, disks, etc…”
Get full text
Journal Article