A standardized approach to the Kolmogorov–Sinai entropy
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Summary
The Kolmogorov–Sinai entropy is described, which is based on the ordinal structure of the systems and allows a standardized measurement of their complexity, to a multidimensional version of the permutation entropy.
- Type
- article
- Published
- 2009-09-04
- Cited by
- 19
- References
- 6
- Access
- Open access
- OpenAlex
- https://openalex.org/W1975838995
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:120000209
Keywords
Mathematics, Ergodic theory, Entropy (arrow of time), Dynamical systems theory, Statistical physics
References
- The permutation entropy rate equals the metric entropy rate for ergodic information sources and ergodic dynamical systems
- Permutation entropy: a natural complexity measure for time series.
- Order Patterns in Time Series
- Entropy of interval maps via permutations
- TIME SERIES FROM THE ORDINAL VIEWPOINT
- Introduction to Ergodic Theory
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- The LE-statistic
- Detecting Change-Points in Time Series by Maximum Mean Discrepancy of Ordinal Pattern Distributions
- ENTROPY DETERMINATION BASED ON THE ORDINAL STRUCTURE OF A DYNAMICAL SYSTEM
- Measuring information transfer in a soft robotic arm
- An approach to comparing Kolmogorov-Sinai and permutation entropy
- Kolmogorov-Sinai entropy via separation properties of order-generated σ-algebras
- Efficiently Measuring Complexity on the Basis of Real-World Data
- Permutation entropy: One concept, two approaches
- On the relation of KS entropy and permutation entropy
- Characterizing the Hyperchaotic Dynamics of a Semiconductor Laser Subject to Optical Feedback Via Permutation Entropy
- Conditional entropy of ordinal patterns
- Change-point detection in dynamical systems using auto-associative neural networks
- Permutation Complexity and Coupling Measures in Hidden Markov Models
- Permutations and the Kolmogorov-Sinai entropy
- Markov modeling via ordinal partitions: An alternative paradigm for network-based time-series analysis.
- Generalized Relational Tensors For Irregularly Sampled Time Series: Methods To Store, Re-generate, And Predict
- Generalized relational tensors for chaotic time series
- Novel entropic dynamics of donor-acceptor quantum dot system
- Investigating Entropic Dynamics of Multiqubit Cavity QED System
- Permutation Complexity and Coupling Measures in Hidden Markov Models
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