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Logical basis for information theory and probability theory

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/malq.19660120124openalex-snapshot
A New Interpretation of the von Mises' Concept of Random Sequence
inferredcites →https://doi.org/10.1016/s0019-9958(64)90223-2openalex-snapshot
A formal theory of inductive inference. Part I
inferredcites →https://doi.org/10.1016/s0019-9958(66)80018-9openalex-snapshot
The definition of random sequences
inferredcites →https://doi.org/10.1016/s0304-3975(98)00075-9openalex-snapshot
On tables of random numbers
inferredcites →https://doi.org/10.1090/s0002-9904-1940-07154-xopenalex-snapshot
On the concept of a random sequence
inferredcites →https://doi.org/10.1090/s0002-9947-1966-0207562-2openalex-snapshot
The Kleene Hierarchy Classification of Recursively Random Sequences
inferredcites →https://doi.org/10.1145/321356.321363openalex-snapshot
On the Length of Programs for Computing Finite Binary Sequences
inferredcites →https://doi.org/10.1145/321495.321506openalex-snapshot
On the Length of Programs for Computing Finite Binary Sequences

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Combining e-values and p-values
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The Identity of Logic and the World in Terms of Quantum Information
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Quantum information as the information of infinite collections or series
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God, Logic, and Quantum Information
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The Quantity of Quantum Information and Its Metaphysics
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Time and Information in the Foundations of Physics
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Universal Logic in terms of Quantum Information
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The Relationship of Arithmetic As Two Twin Peano Arithmetic(s) and Set Theory: A New Glance From the Theory of Information
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Bibliography
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Information Theory and Coding Theory
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Information Theory and Coding Theory
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Randomness and Probability—Complexity of Description
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Complexity
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Bibliography
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Information Theory
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Information Theory and Coding Theory
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Complexity
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Appendix A: Probability Theory
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Selection‐Based Estimates of Complexity Unravel Some Mechanisms and Selective Pressures Underlying the Evolution of Complexity in Artificial Networks
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Informationstheorie und Ökosysteme
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Zufall oder Planmäßigkeit?. Erkenntnistheoretische Aspekte der biologischen Informationsentstehung
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Measurable Notions of Complexity and Their Relationship to Biological Complexity
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A Spectrum of Weighted Compromise Aggregation Operators: A Generalization of Weighted Uninorm Operator
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On the Topological Size of Sets of Random Strings
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The Discovery of Algorithmic Probability
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Inequalities for Shannon Entropy and Kolmogorov Complexity
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Accuracy, Scope, and Flexibility of Models
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The Importance of Complexity in Model Selection
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Information Content of Protein Sequences
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The Embodied Meaning: Self-Organisation and Symbolic Dynamics in Visual Cognition
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Predictions as Statements and Decisions
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Introduction
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Minimal Representation Multi-Sensor Fusion Using Differential Evolution
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Relations Between Information Theory, Robustness and Statistical Mechanics of Stochastic Uncertain Systems via Large Deviation Theory
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Characterizing the Software Development Process: A New Approach Based on Kolmogorov Complexity
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Symmetry of information and one-way functions
inferred← citeshttps://doi.org/10.1007/3-540-56939-1_79openalex-snapshot
Computational depth and reducibility
inferred← citeshttps://doi.org/10.1007/3-540-59119-2_165openalex-snapshot
The discovery of algorithmic probability: A guide for the programming of true creativity
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What ants cannot do
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Information Theory-Based Measurement of Software
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Information, Communication, and Group Theory
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A First Course in Information Theory
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Information, Knowledge and Control
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Non-Kolmogorov Probabilistic Models with p-adic Probabilities and Foundations of Quantum Mechanics
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Facets of Incompleteness
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Frequentist Interpretation of Probability
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Analog Computational Models of Concept Formation
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Representational Issues for Risk Scenarios
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Semantic Information Retrieval
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General System Identification — Fundamentals and Results
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Preliminaries
inferred← citeshttps://doi.org/10.1007/978-1-4899-0718-9_20openalex-snapshot
Systems and Distinctions; Duality and Complementarity
inferred← citeshttps://doi.org/10.1007/978-1-60761-854-6_23openalex-snapshot
Reconstructing Transcriptional Regulatory Networks Using Three-Way Mutual Information and Bayesian Networks
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Can Quantum Theory Concepts Shed Light on Biological Evolution Processes?
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Fields of Logic and Computation III
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Non-Algorithmic Theory of Randomness
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Buying Time
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Information; Convergence of Science and Philosophy
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Structure Waves in Biopolymers and Biological Evolution Paths
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Martingales in the Study of Randomness
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Andrei Kolmogorov and Leonid Levin on Randomness
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Generalized Conformal Prediction
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Conformal Prediction: General Case and Regression
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Efficiency of Conformal Testing
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Paraconsistent Annotated Logic and Chaos Theory: Introducing the Fundamental Equations
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Inequalities for Entropies and Dimensions
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Randomness, Exchangeability, and Conformal Prediction
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Generic IP Network Traffic Management from Measurement through Analyses to Simulation
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Anticipation in MES – Memory Evolutive Systems
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Introduction
inferred← citeshttps://doi.org/10.1007/978-3-319-42496-5_6openalex-snapshot
Synchronization of Chaotic Systems
inferred← citeshttps://doi.org/10.1007/978-3-319-58533-8_4openalex-snapshot
Estimating an Energy-Social Accounting Matrix for Italy
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Approximation and Complexity
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Anticipation in MES – Memory Evolutive Systems
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Maximum Entropy Principle in Non-ordered Setting
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Well-Calibrated Predictions from Online Compression Models
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Information Complexity and Biology
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Slightly Beyond Turing’s Computability for Studying Genetic Programming
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One or Many Concepts of Information?
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Synchronization of Chaotic Systems
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Repertoires and Descriptions
inferred← citeshttps://doi.org/10.1007/978-3-642-32645-5_79openalex-snapshot
Interpreting Shared Information Content in Software Engineering: What Does It Mean to Say Two Artefacts Are Similar and Why?
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A Representational MDL Framework for Improving Learning Power of Neural Network Formalisms
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Introduction to Ray Solomonoff 85th Memorial Conference
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From Social Engineering to Synergetics
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Fuzzified Petri-Nets and Their Application to Organising Supervisory Controller
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The Interface Between Chemistry and Biology — Laws Determining Regularities in Early Evolution
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Complexity and Entropy: An Introduction to the Theory of Kolmogorov Complexity
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Complexity of Automata, Brains, and Behavior
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Logische Grundlagen der Künstlichen Intelligenz
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Random Strings
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What One Has to Know When Attacking $$\textsf {P}$$ vs. $$\textsf {NP}$$ (Extended Abstract)
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Repertoires and Descriptions
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Leben = Ordnung + Komplexität
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Komplexitätstheoretische Ableitung eines integrierten Komplexitätsmanagements
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Lecture Notes on Concepts and Measures of Information
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The Complexity of Decoders
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Complexity and Information Theory
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What is Information?
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Probability, Randomness and Information
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Why Kolmogorov Complexity?
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Outline of a New Logical Approach to Information Theory
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Qualitative Information and Entropy Structures
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The Natural Numbers as a Universal Library
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Incorporating Origins into Evolutionary Theory
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Randomness, Unpredictability and Absence of Order: The Identification by the Theory of Recursivity of the Mathematical Notion of Random Sequence
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Causation is the Transfer of Information
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Kolmogorov’s Complexity Conception of Probability
inferred← citeshttps://doi.org/10.1007/978-94-017-2973-4_13openalex-snapshot
The Combinatorial Foundations of Information Theory and the Probability Calculus
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A Lightweight Compression-Driven Method for Multi-scale Image Anomaly Detection
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Information and Coding
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Entropy and information in evolving biological systems
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Randomness, independence, and hypotheses
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Letter to the Editor
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Uncontrollable computational growth in theoretical physics
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A quantitative occam's razor
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Informational parameters and randomness of mitochondrial DNA
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Does the universe in fact contain almost no information?
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Measures of ignorance, information and uncertainty. Part I
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La Theorie Generalisee de l'Information et la Mesure Subjective de l'Information
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Axiomatique et Systematique des Questionnaires
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Energy level distributions and chaos in quantum mechanics
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Entropy and Quantum Kolmogorov Complexity: A Quantum Brudno’s Theorem
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Limit Complexities Revisited
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An Additivity Theorem for Plain Kolmogorov Complexity
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Liouville, Computable, Borel Normal and Martin-Löf Random Numbers
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Parameter selection using Shannon entropy in soft set theory: an application to medical diagnosis
inferred← citeshttps://doi.org/10.1007/s10441-008-9055-8openalex-snapshot
DNA Computing, Computation Complexity and Problem of Biological Evolution Rate
inferred← citeshttps://doi.org/10.1007/s10994-024-06720-xopenalex-snapshot
Testing exchangeability in the batch mode with e-values and Markov alternatives
inferred← citeshttps://doi.org/10.1007/s11023-015-9385-7openalex-snapshot
Qualitative Axioms of Uncertainty as a Foundation for Probability and Decision-Making
inferred← citeshttps://doi.org/10.1007/s11047-006-9017-5openalex-snapshot
Entropy and algorithmic complexity in quantum information theory
inferred← citeshttps://doi.org/10.1007/s11067-007-9032-9openalex-snapshot
Traffic Grammar and Algorithmic Complexity in Urban Freeway Flow Patterns
inferred← citeshttps://doi.org/10.1007/s11071-020-05981-0openalex-snapshot
Multiscale permutation mutual information quantify the information interaction for traffic time series
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Concentration Theorems for Entropy and Free Energy
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Measuring size, complexity, and coupling of hypergraph abstractions of software: An information-theory approach
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Self-organisation in dynamical systems: a limiting result
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What is Shannon information?
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Inductive knowledge under dominance
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Order, organization, and randomness: on the mathematical formulation of life
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Exploring the short-term and long-term linkages between carbon price and influence factors considering COVID-19 impact
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Risk reduction in a project portfolio
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EEG-based investigation of brain connectivity changes in psychotic patients undergoing the primitive expression form of dance therapy: a methodological pilot study
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Enhancing television advertising: same-language subtitles can improve brand recall, verbal memory, and behavioral intent
inferred← citeshttps://doi.org/10.1007/s12036-015-9366-5openalex-snapshot
Time Delay Evolution of Five Active Galactic Nuclei
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Fault Diagnosis of Rolling Element Bearing Using Multi-Scale Lempel-Ziv Complexity and Mahalanobis Distance Criterion
inferred← citeshttps://doi.org/10.1007/s12304-011-9122-4openalex-snapshot
Stasis is an Inevitable Consequence of Every Successful Evolution
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Information measures based analysis of complex solar wind—magnetosphere interaction dynamics during geomagnetic storms
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What is a complex system?
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Deflating the deflationary view of information
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Model discrimination using an algorithmic information criterion
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Visual routines
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Fractals and the analysis of waveforms
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Symmetry of information and one-way functions
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On the application of algorithmic information theory to decision problems
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A theory of information structure I. General principles
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Organization by rules in finite sequences
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A calculation of the probability of spontaneous biogenesis by information theory
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On grammars, complexity, and information measures of biological macromolecules
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A measure of shared information in classes of patterns
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What is distance and why do we need the metric model for pattern learning?
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The information content of surface profiles, surface profile measurements, and profile characterizations
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Linguistic approaches to the analysis of sequence information
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On the relation between descriptional complexity and algorithmic probability
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Computational depth and reducibility
inferred← citeshttps://doi.org/10.1016/1061-7361(93)90015-jopenalex-snapshot
Inferring representation type from the fractal dimension of biological communication waveforms
inferred← citeshttps://doi.org/10.1016/b0-08-043076-7/00488-5openalex-snapshot
Probability: Interpretations
inferred← citeshttps://doi.org/10.1016/b0-08-043076-7/04682-9openalex-snapshot
Frequentist Interpretation of Probability
inferred← citeshttps://doi.org/10.1016/b978-0-08-041898-8.50081-5openalex-snapshot
USING NEURAL-NET COMPUTING TO FORMULATE REAL-TIME CONTROL STRATEGIES
inferred← citeshttps://doi.org/10.1016/b978-0-08-051581-6.50035-0openalex-snapshot
Visual routines**This report describes research done at the Artificial Intelligence Laboratory of the Massachusetts Institute of Technology. Support for the laboratory's artificial intelligence research is provided in part by the Advanced Research Projects Agency of the Department of Defense under…
inferred← citeshttps://doi.org/10.1016/b978-0-08-097086-8.42068-4openalex-snapshot
Probability Theory: Interpretations
inferred← citeshttps://doi.org/10.1016/b978-0-12-012749-8.50006-4openalex-snapshot
Fundamental Limits in the Theory of Machines
inferred← citeshttps://doi.org/10.1016/b978-0-12-161910-7.50013-8openalex-snapshot
GENERATING AND MEASURING AESTHETIC FORMS
inferred← citeshttps://doi.org/10.1016/b978-0-12-256450-5.50007-8openalex-snapshot
Relative-Frequency and Probability
inferred← citeshttps://doi.org/10.1016/b978-0-12-256450-5.50008-xopenalex-snapshot
Computational Complexity, Random Sequences, and Probability
inferred← citeshttps://doi.org/10.1016/b978-0-12-256450-5.50012-1openalex-snapshot
Conclusions
inferred← citeshttps://doi.org/10.1016/b978-0-12-383874-2.00009-6openalex-snapshot
References
inferred← citeshttps://doi.org/10.1016/b978-0-12-465750-2.50013-6openalex-snapshot
Bibliography
inferred← citeshttps://doi.org/10.1016/b978-0-12-819184-2.00007-9openalex-snapshot
Power balance and dynamic stability of a distributed hybrid energy system
inferred← citeshttps://doi.org/10.1016/b978-0-444-70058-2.50040-1openalex-snapshot
The Application of Algorithmic Probability to Problems in Artificial Intelligence
inferred← citeshttps://doi.org/10.1016/b978-0-444-88071-0.50009-6openalex-snapshot
Kolmogorov Complexity and its Applications
inferred← citeshttps://doi.org/10.1016/b978-0-7506-0813-8.50020-4openalex-snapshot
Information theory
inferred← citeshttps://doi.org/10.1016/b978-1-4832-1446-7.50047-9openalex-snapshot
Visual routines
inferred← citeshttps://doi.org/10.1016/b978-1-78548-200-7.50020-8openalex-snapshot
Bibliography
inferred← citeshttps://doi.org/10.1016/j.amc.2010.08.028openalex-snapshot
Reexamination of an information geometric construction of entropic indicators of complexity
inferred← citeshttps://doi.org/10.1016/j.amc.2011.08.039openalex-snapshot
The emergence of meaning at the co-evolutionary level: An epistemological approach
inferred← citeshttps://doi.org/10.1016/j.apal.2010.09.007openalex-snapshot
Some theorems on the algorithmic approach to probability theory and information theory
inferred← citeshttps://doi.org/10.1016/j.artint.2006.11.004openalex-snapshot
A spectrum of compromise aggregation operators for multi-attribute decision making
inferred← citeshttps://doi.org/10.1016/j.asoc.2018.07.038openalex-snapshot
Uncertainty representation using fuzzy-entropy approach: Special application in remotely sensed high-resolution satellite images (RSHRSIs)
inferred← citeshttps://doi.org/10.1016/j.biosystems.2017.12.011openalex-snapshot
Slime mould: The fundamental mechanisms of biological cognition
inferred← citeshttps://doi.org/10.1016/j.chaos.2019.109394openalex-snapshot
Complementarity of information obtained by Kolmogorov and Aksentijevic–Gibson complexities in the analysis of binary time series
inferred← citeshttps://doi.org/10.1016/j.compbiomed.2015.09.019openalex-snapshot
Nonlinear analysis of EEGs of patients with major depression during different emotional states
inferred← citeshttps://doi.org/10.1016/j.cviu.2007.11.001openalex-snapshot
Content-based image retrieval with the normalized information distance
inferred← citeshttps://doi.org/10.1016/j.ecocom.2005.04.009openalex-snapshot
Heterogeneity versus homogeneity: A conceptual and mathematical theory in terms of scale-invariant and scale-covariant distributions
inferred← citeshttps://doi.org/10.1016/j.endm.2005.07.077openalex-snapshot
Editorial Note
inferred← citeshttps://doi.org/10.1016/j.energy.2017.09.033openalex-snapshot
Mutual information for evaluating renewable power penetration impacts in a distributed generation system
inferred← citeshttps://doi.org/10.1016/j.energy.2022.125820openalex-snapshot
An ensemble dynamic self-learning model for multiscale carbon price forecasting
inferred← citeshttps://doi.org/10.1016/j.gsf.2017.07.011openalex-snapshot
Indian summer monsoon rainfall (ISMR) forecasting using time series data: A fuzzy-entropy-neuro based expert system
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Editorial review for independent work. ICSAC — the Institute for Complexity Science and Advanced Computing — runs a structured editorial panel for researchers publishing outside journals, and publishes on CiteStamp rails. Submission is free and goes through ORCID: icsacinstitute.org/submit.