Results 51 to 60 of about 528,328 (297)

Entropy dimension of measure preserving systems

open access: yes, 2018
The notion of metric entropy dimension is introduced to measure the complexity of entropy zero dynamical systems. For measure preserving systems, we define entropy dimension via the dimension of entropy generating sequences.
Dou, Dou, Huang, Wen, Park, Kyewon Koh
core   +1 more source

Relative entropy and waiting times for continuous-time Markov processes [PDF]

open access: yes, 2005
For discrete-time stochastic processes, there is a close connection between return/waiting times and entropy. Such a connection cannot be straightforwardly extended to the continuous-time setting.
Chazottes, Jean-Rene   +2 more
core   +5 more sources

On the Measure Entropy of Additive Cellular Automata f∞

open access: yesEntropy, 2003
We show that for an additive one-dimensional cellular automata f∞ on space of all doubly infinitive sequences with values in a finite set S = {0, 1, 2, ..., r-1}, determined by an additive automaton rule [equation] (mod r), and a f∞-invariant ...
Hasan Akın
doaj   +1 more source

Entropy, Similarity Measure, Inclusion Measure of Intuitionistic Fuzzy Sets and Their Relationships [PDF]

open access: yesInternational Journal of Computational Intelligence Systems, 2012
In the present paper, we introduce a new axiomatic definition of the inclusion measure for intuitionistic fuzzy sets (IFSs, for short). The close relationships among entropy, similarity measure, and inclusion measure of IFSs are then discussed in detail.
Qiansheng Zhang, Hongyan Xing, Lihua Wu
doaj   +1 more source

Complex q-Rung Orthopair Fuzzy Aczel–Alsina Aggregation Operators and Its Application to Multiple Criteria Decision-Making With Unknown Weight Information

open access: yesIEEE Access, 2022
In decision making problems, complex q-rung orthopair fuzzy set is regarded as a more practical tool than complex intuitionistic fuzzy set and q-rung orthopair fuzzy set.
Jawad Ali, Muhammad Naeem
doaj   +1 more source

A subgroup formula for f-invariant entropy

open access: yes, 2012
We study a measure entropy for finitely generated free group actions called f-invariant entropy. The f-invariant entropy was developed by Lewis Bowen and is essentially a special case of his measure entropy theory for actions of sofic groups.
Seward, Brandon
core   +1 more source

Classifying Entropy Measures [PDF]

open access: yesSymmetry, 2011
Our paper analyzes some aspects of Uncertainty Measures. We need to obtain new ways to model adequate conditions or restrictions, constructed from vague pieces of information. The classical entropy measure originates from scientific fields; more specifically, from Statistical Physics and Thermodynamics.
openaire   +1 more source

Measurement of Stochastic Entropy Production [PDF]

open access: yesPhysical Review Letters, 2006
Using fluorescence spectroscopy we directly measure entropy production of a single two-level system realized experimentally as an optically driven defect center in diamond. We exploit a recent suggestion to define entropy on the level of a single stochastic trajectory (Seifert, Phys. Rev. Lett. {\bf 95}, 040602 (2005)).
Tietz, C.   +4 more
openaire   +3 more sources

How Compressible are Innovation Processes?

open access: yes, 2018
The sparsity and compressibility of finite-dimensional signals are of great interest in fields such as compressed sensing. The notion of compressibility is also extended to infinite sequences of i.i.d.
Amini, Arash   +2 more
core   +1 more source

EEG entropy measures in anesthesia [PDF]

open access: yesFrontiers in Computational Neuroscience, 2015
► Twelve entropy indices were systematically compared in monitoring depth of anesthesia and detecting burst suppression.► Renyi permutation entropy performed best in tracking EEG changes associated with different anesthesia states.► Approximate Entropy and Sample Entropy performed best in detecting burst suppression.Entropy algorithms have been widely ...
Zhenhu eLiang   +9 more
openaire   +3 more sources

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