Related Experiment Video
Updated: Feb 9, 2026
09:12
Optimization of Processing of Tiebangchui with Highland Barley Wine Based on the Box-Behnken Design Combined with the Entropy Method
Published on: May 19, 2023
1.2K
Specific transfer entropy and other state-dependent transfer entropies for continuous-state input-output systems.
1Department of Military and Emergency Medicine, Uniformed Services University of the Health Sciences, Bethesda, Maryland 20814, USA and The Henry M. Jackson Foundation for the Advancement of Military Medicine, Bethesda, Maryland 20817, USA.
Physical Review. E
|September 28, 2017
Summary
We introduce specific transfer entropy, a new measure for analyzing information transfer in coupled systems. This method offers state- and time-resolved insights, improving upon existing transfer entropy techniques for nonlinear dynamics.
Area of Science:
- Nonlinear dynamics
- Information theory
- Time series analysis
Background:
- Transfer entropy is crucial for quantifying information transfer in coupled systems.
- Existing methods lack a canonical definition for state-dependent transfer entropy.
- Analyzing state- and time-resolved predictive impacts is essential.
Purpose of the Study:
- Introduce a novel measure: specific transfer entropy.
- Compare specific transfer entropy with total and local transfer entropy.
- Develop principled estimation methods for empirical data.
Main Methods:
- Definition and theoretical comparison of specific transfer entropy.
- Development of estimation techniques for empirical time series data.
- Application to two model systems for validation.
Main Results:
- Specific transfer entropy enables state- and time-resolved analysis.
- Proposed estimation methods are effective for empirical data.
- Specific transfer entropy provides richer, more interpretable information than existing methods.
Conclusions:
- Specific transfer entropy is a valuable extension of transfer entropy.
- The proposed methods facilitate robust analysis of complex systems.
- This work advances the study of information flow in nonlinear dynamics.
Related Concept Videos
02:39Entropy
36.3K
Salt particles that have dissolved in water never spontaneously come back together in solution to reform solid particles. Moreover, a gas that has expanded in a vacuum remains dispersed and never spontaneously reassembles. The unidirectional nature of these phenomena is the result of a thermodynamic state function called entropy (S). Entropy is the measure of the extent to which the energy is dispersed throughout a system, or in other words, it is proportional to the degree of disorder of a...
36.3K
01:18Entropy
3.6K
The first law of thermodynamics is quantitatively formulated via an equation relating the internal energy of a system, the heat exchanged by it, and the work done on it. A quantitative formulation of the second law of thermodynamics leads to defining a state function, the entropy.
When an ideal gas expands isothermally, the disorder in the gas increases. From the molecular perspective, the gas molecules have more volume to move around in.
Consider an infinitesimal step in the expansion, which...
When an ideal gas expands isothermally, the disorder in the gas increases. From the molecular perspective, the gas molecules have more volume to move around in.
Consider an infinitesimal step in the expansion, which...
3.6K
03:00Standard Entropy Change for a Reaction
24.9K
Entropy is a state function, so the standard entropy change for a chemical reaction (ΔS°rxn) can be calculated from the difference in standard entropy between the products and the reactants.
24.9K
02:05Entropy and Solvation
8.4K
The process of surrounding a solute with solvent is called solvation. It involves evenly distributing the solute within the solvent. The rule of thumb for determining a solvent for a given compound is that like dissolves like. A good solvent has molecular characteristics similar to those of the compound to be dissolved. For example, polar solutions dissolve polar solutes, and apolar solvents dissolve apolar solutes. A polar solvent is a solvent that has a high dielectric constant (ϵ...
8.4K
01:22Entropy within the Cell
12.9K
A living cell's primary tasks of obtaining, transforming, and using energy to do work may seem simple. However, the second law of thermodynamics explains why these tasks are harder than they appear. None of the energy transfers in the universe are completely efficient. In every energy transfer, some amount of energy is lost in a form that is unusable. In most cases, this form is heat energy. Thermodynamically, heat energy is defined as the energy transferred from one system to another that...
12.9K
01:20Entropy and the Second Law of Thermodynamics
5.0K
The second law of thermodynamics can be stated quantitatively using the concept of entropy. Entropy is the measure of disorder of the system.
The relation between entropy and disorder can be illustrated with the example of the phase change of ice to water. In ice, the molecules are located at specific sites giving a solid state, whereas, in a liquid form, these molecules are much freer to move. The molecular arrangement has therefore become more randomized. Although the change in average...
The relation between entropy and disorder can be illustrated with the example of the phase change of ice to water. In ice, the molecules are located at specific sites giving a solid state, whereas, in a liquid form, these molecules are much freer to move. The molecular arrangement has therefore become more randomized. Although the change in average...
5.0K