Search Results - Computational Complexity and Algorithmic Information Theory

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  1. 1

    Computational Creativity and Aesthetics with Algorithmic Information Theory by Mondol, Tiasa, Brown, Daniel G.

    ISSN: 1099-4300, 1099-4300
    Published: Switzerland MDPI AG 08.12.2021
    Published 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…”
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    Journal Article
  2. 2

    Why Computational Complexity Requires Stricter Martingales by Hitchcock, John M., Lutz, Jack H.

    ISSN: 1432-4350, 1433-0490
    Published: New York Springer Nature B.V 01.04.2006
    Published 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…”
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  3. 3

    Quantum algorithmic measurement by Aharonov, Dorit, Cotler, Jordan, Qi, Xiao-Liang

    ISSN: 2041-1723, 2041-1723
    Published: London Nature Publishing Group UK 16.02.2022
    Published 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…”
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  4. 4

    Symmetry and simplicity spontaneously emerge from the algorithmic nature of evolution by Johnston, Iain G, Dingle, Kamaludin, Greenbury, Sam F, Camargo, Chico Q, Doye, Jonathan P K, Ahnert, Sebastian E, Louis, Ard A

    ISSN: 1091-6490, 1091-6490
    Published: United States 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…”
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  5. 5

    Uncomputability and undecidability in economic theory by Vela Velupillai, K.

    ISSN: 0096-3003, 1873-5649
    Published: Amsterdam Elsevier Inc 15.10.2009
    Published 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…”
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    Journal Article Conference Proceeding
  6. 6

    Algorithmic No-Cloning Theorem by Epstein, Samuel

    ISSN: 0018-9448, 1557-9654
    Published: New York IEEE 01.09.2019
    Published in IEEE transactions on information theory (01.09.2019)
    “…We introduce notions of algorithmic mutual information and deficiency of randomness of quantum states…”
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  7. 7

    Information Complexity Ranking: A New Method of Ranking Images by Algorithmic Complexity by Chambon, Thomas, Guillaume, Jean-Loup, Lallement, Jeanne

    ISSN: 1099-4300, 1099-4300
    Published: Switzerland MDPI AG 01.03.2023
    Published 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…”
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  8. 8

    Effective Strong Dimension in Algorithmic Information and Computational Complexity by Athreya, Krishna B., Hitchcock, John M., Lutz, Jack H., Mayordomo, Elvira

    ISSN: 0097-5397, 1095-7111
    Published: Philadelphia Society for Industrial and Applied Mathematics 01.01.2007
    Published 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…”
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  9. 9

    Efficient Computation of Collatz Sequence Stopping Times: A Novel Algorithmic Approach by Getachew, Eyob Solomon, Assefa, Beakal Gizachew

    ISSN: 2169-3536, 2169-3536
    Published: IEEE 2025
    Published 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…”
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  10. 10

    LSD-induced increase of Ising temperature and algorithmic complexity of brain dynamics by Ruffini, Giulio, Damiani, Giada, Lozano-Soldevilla, Diego, Deco, Nikolas, Rosas, Fernando E., Kiani, Narsis A., Ponce-Alvarez, Adrián, Kringelbach, Morten L., Carhart-Harris, Robin, Deco, Gustavo

    ISSN: 1553-7358, 1553-734X, 1553-7358
    Published: United States Public Library of Science 03.02.2023
    Published in PLoS computational biology (03.02.2023)
    “… (system temperature, critical point, susceptibility) and from algorithmic complexity. We hypothesized, along the lines…”
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  11. 11

    Effective fractal dimensions by Lutz, Jack H.

    ISSN: 0942-5616, 1521-3870
    Published: Berlin WILEY-VCH Verlag 01.01.2005
    Published 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…”
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  12. 12

    Numerical evaluation of algorithmic complexity for short strings: A glance into the innermost structure of randomness by Delahaye, Jean-Paul, Zenil, Hector

    ISSN: 0096-3003, 1873-5649
    Published: Elsevier Inc 15.09.2012
    Published 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…”
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  13. 13

    Algorithmic and Complexity Aspects of Path Computation in Multi-Layer Networks by Lamali, Mohamed Lamine, Fergani, Nasreddine, Cohen, Johanne

    ISSN: 1063-6692, 1558-2566
    Published: New York IEEE 01.12.2018
    Published 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…”
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  14. 14

    Approximations of algorithmic and structural complexity validate cognitive-behavioral experimental results by Zenil, Hector, Marshall, James A. R., Tegnér, Jesper

    ISSN: 1662-5188, 1662-5188
    Published: Switzerland Frontiers Research Foundation 24.01.2023
    Published in Frontiers in computational neuroscience (24.01.2023)
    “… By numerically approximating algorithmic (Kolmogorov) complexity ( K ), we establish an objective tool to characterize behavioral complexity…”
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  15. 15

    Algorithmic solutions for maximizing shareable costs by Zou, Rong, Lin, Boyue, Uetz, Marc, Walter, Matthias

    ISSN: 0028-3045, 1097-0037
    Published: Hoboken, USA John Wiley & Sons, Inc 01.12.2024
    Published 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…”
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  16. 16

    A Decomposition Method for Global Evaluation of Shannon Entropy and Local Estimations of Algorithmic Complexity by Zenil, Hector, Hernández-Orozco, Santiago, Kiani, Narsis A., Soler-Toscano, Fernando, Rueda-Toicen, Antonio, Tegnér, Jesper

    ISSN: 1099-4300, 1099-4300
    Published: Basel MDPI AG 01.08.2018
    Published 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…”
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  17. 17

    Descriptional and computational complexity of finite automata—A survey by Holzer, Markus, Kutrib, Martin

    ISSN: 0890-5401, 1090-2651
    Published: Amsterdam Elsevier Inc 01.03.2011
    Published 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…”
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    Journal Article Conference Proceeding
  18. 18

    Statistical Complexity Analysis of Turing Machine tapes with Fixed Algorithmic Complexity Using the Best-Order Markov Model by Silva, Jorge M., Pinho, Eduardo, Matos, Sérgio, Pratas, Diogo

    ISSN: 1099-4300, 1099-4300
    Published: Switzerland MDPI AG 16.01.2020
    Published 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…”
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  19. 19

    Disentangling the Computational Complexity of Network Untangling by Froese, Vincent, Kunz, Pascal, Zschoche, Philipp

    ISSN: 1432-4350, 1433-0490
    Published: New York Springer US 01.02.2024
    Published 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…”
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  20. 20

    Dynamic Planar Voronoi Diagrams for General Distance Functions and Their Algorithmic Applications by Kaplan, Haim, Mulzer, Wolfgang, Roditty, Liam, Seiferth, Paul, Sharir, Micha

    ISSN: 0179-5376, 1432-0444
    Published: New York Springer US 01.10.2020
    Published in Discrete & computational geometry (01.10.2020)
    “… (convex, pairwise disjoint) sites that have constant description complexity (e.g., points, line segments, disks, etc…”
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