Catastrophe Theory - Crossref

Exploration-Exploitation in Multi-Agent Learning: Catastrophe Theory Meets Game Theory

Our learning system is well-justified as an excellent model for investigating exploration-exploitation. In weighted potential games with heterogeneous learning agents, we show that smooth Q-learning has expressed regret in arbitrary games for a cost model that explicitly reflects the trade-output cost split, as well as the establishment of quantal-response equilibria, the common gaming experience under bounded rationality. We investigate the surface of the QRE surface in low-dimensional MAL systems and link our findings to disaster theory. Given an infinitesimal change to the exploration parameter, the process evolves over time, and the framework adapts phase transitions where the number and stability of equilibria can change dramatically as the exploration hyperparameter evolves.

Source link: https://doi.org/10.1609/aaai.v35i13.17343

Multi-attribute decision-making method with triangular fuzzy numbers based on regret theory and the catastrophe progression method

The aim of this paper was to create a novel triangular fuzzy algorithm for multi-attribute decision-making in order to minimize the influence of indicator weights on scheme selection and account for decision makers' regret psychology. We recommend a multi-attribute decision-making scheme with triangular fuzzy number based on regret theory and catastrophe progression, considering the implications of regret aversion and subjective weight gain. The decision matrix is described as a triangular fuzzy number in the decision-making results, and the regret value matrix and rejoicing value matrix are independently developed using regret theory.

Source link: https://doi.org/10.3934/mbe.2022559

Catastrophe Theory in Explaining Price Dynamics on the Real Estate Market

Abstract The real estate market is a transparent system, which means that it will exchange signals with other open networks and dynamic networks. Mathematically explains the evolution of a market system over time. Continuous shifts are interrupted by discontinuous changes in this research, but an attempt was made to create a mathematical model for visualizing the real estate market's evolutionary path in the form of continuous shifts interrupted by discontinuous transitions. With the application of the catastrophe model, the qualitative change of the system will be assessed.

Source link: https://doi.org/10.2478/remav-2013-0026

Revisiting quantum relativistic effects from phase transition by the catastrophe theory

Here, the relativistic effect of particles traveling at high speeds can be considered as the phase transition process as the velocity variable increases. We find a revised Schru00f6dinger relativistic equation first and then develop the steady-state Klein-Gordon equation and Dirac relativistic equation gradually, considering that the catastrophe theory could describe qualitatively any phase transition process.

Source link: https://doi.org/10.1209/0295-5075/ac8762

Catastrophe Theory Applied to Neuropsychological Data: Nonlinear Effects of Depression on Financial Capacity in Amnestic Mild Cognitive Impairment and Dementia

One of the cognitive deficits detected in amnestic mild cognitive impairment and dementia is financial incapacity, although the combined effect of depression remains unexplored. With the Geriatric Depression Scale, the Functional Rating Scale for Symptoms of Dementia, and the Legal Capacity for Property Law Transactions Assessment Scale, four hundred eighteen participants with a diagnosis of amnestic MCI with varying degrees of depression were tested, as well as the Property Capacity Assessment Scale.

Source link: https://doi.org/10.3390/e24081089

Electron-density critical points analysis and catastrophe theory to forecast structure instability in periodic solids

As a result of pressure/temperature, ab initio results have been used in combination with the catastrophe model to show a correlation between u03c1 topology and the emergence of instability that may lead to crystal structure change as a function of pressure/temperature. topology and Gibbs energies, according to this model, the catastrophe theory formalism gives a mathematical framework to model u03c1 in the neighborhood of x c and allows one to quantify the occurrence of chaos in terms of both electron-density topology and Gibbs energy. TiO 2, MgO, and Al 2 O 3 undergo state transitions as a result of pressure and/or temperature are here discussed.

Source link: https://doi.org/10.1107/s2053273317018381

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