Inductive Inferences of Z-Entropy Formalism (ZEF) Stable M/G/1 Queue with Heavy Tails

Mageed, Ismail A; Zhang, Qichun

doi:10.1109/icac55051.2022.9911090

Cited by 18 publications

(19 citation statements)

References 15 publications

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“…For occurrences with equal probabilities, that is, 𝑝𝑝(𝑖𝑖) = 1 𝑁𝑁 , an exposition of 𝐷𝐷 𝑓𝑓 for some entropic formulae, see [1, 3,13,14]. Shannon ′ s dimension, 𝐷𝐷 𝑠𝑠 [12] reads:…”

Section: Methodsmentioning

confidence: 99%

“…6 [16] looked at the growth of smart cities, particularly in China, and stressed how evaluation and planning may suffer from a lack of a basic understanding of smart city systems. Consequently, [14] offered a complete framework for assessing and regulating the operations of smart cities that considers smart gadgets, ICT, and the dynamics of development. It also implied that the selforganizing system theory could potentially be able to accommodate for the complexity of smart cities.…”

Section: 𝑫𝑫 𝒇𝒇 Applications To Smart Citiesmentioning

confidence: 99%

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Fractal Dimension of Generalized Rényian Entropy With Potential Fractal Dimension Applications to Smart Cities

A Mageed,

Bhat

2024

Preprint

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The fractal dimension of is identified in this paper. More importantly, the undertaken research has shown how affects the Koch snowflake . The study has demonstrated the existence of negative values of (Koch snowflake), which connects to a considerable number of extremely intriguing mathematical and physical research areas. The information-theoretic impact on the Sierpiniski Gasket dimension , which corresponds to , was treated in a more fundamental way. Notably, the credibility of this current study adds to the existing kThe fractal dimension of is identified in this paper. More importantly, the undertaken research has shown how affects the Koch snowflake . The study has demonstrated the existence of negative values of (Koch snowflake), which connects to a considerable number of extremely intriguing mathematical and physical research areas. The information-theoretic impact on the Sierpiniski Gasket dimension , which corresponds to , was treated in a more fundamental way. Notably, the credibility of this current study adds to the existing knowledge for the information- theoretic fractal dimensions. On another applicative note, this paper offers some potential applications of fractal dimension to smart cities. The investigation of the threshold theorems for and in terms of the triad is part of the next study phase. Additionally, investigating the newly obtained 's corresponding arbitrary Sierpinski Gasket for the first time.applicative note, this paper offers some potential applications of fractal dimension to smart cities. The investigation of the threshold theorems for and in terms of the triad is part of the next study phase. Additionally, investigating the newly obtained 's corresponding arbitrary Sierpinski Gasket for the first time.

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Section: Methodsmentioning

confidence: 99%

Section: 𝑫𝑫 𝒇𝒇 Applications To Smart Citiesmentioning

confidence: 99%

Fractal Dimension of Generalized Rényian Entropy With Potential Fractal Dimension Applications to Smart Cities

A Mageed,

Bhat

2024

Preprint

View full text Add to dashboard Cite

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“…It's still up for debate. • The next phase of research includes investigations to solve the proposed open problem as well as widening the search for more entropic applications in multi-interdisciplinary fields of human knowledge [19][20][21][22][23].…”

Section: Closing Remarks Open Problems and Next Phase Of Researchmentioning

confidence: 99%

Entropic Artificial Intelligence and Knowledge Transfer

2024

Adv Mach Lear Art Inte

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An overview of entropy applications to illustrate a few possible uses of entropy in knowledge transmission and artificial intelligence. Artificial intelligence uses entropy as a fundamental concept in many diverse applications, including reinforcement learning, data compression, and decision-making. It assists artificial intelligence models in producing wellinformed forecasts and judgments by assessing uncertainty and information content. As such, the purpose of this work is to highlight the importance of entropy and draw the attention of the artificial intelligence research community to it as a potent tool for advancing artificial intelligence. This work also addresses the importance of knowledge transfer (KT), especially intergenerational KT (IGT), in knowledge management. Knowledge entropy (KE) is a concept that is used to measure the complexity of knowledge distribution within an organisation and evaluate the effectiveness of KT activities. Furthermore, the KT model—which is predicated on the ideas of information content and tacitness—is presented. It blends techniques for customisation and codification. A few challenging open problems are presented along with future study options

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“…Definition 1. Statistical Manifold (SM) 𝑴 = {𝒑(𝒙, 𝜽)|𝜽𝝐𝚯} is called an SM (c.f., [4]) if x is a random variable in sample space 𝑿 and 𝒑(𝒙, 𝜽) is the probability density function, with the n-dimensional coordinate system, 𝜽 = (𝜽 𝟏 , 𝜽 𝟐 , . .…”

Section: Main Ig Definitionsmentioning

confidence: 99%

The Info-Geometric Analysis of Wind Speed Dynamics and How Energy Is Influentially Impacted by Information Geometry (IG)

A Mageed

2024

Preprint

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This paper discusses how mathematical models are used to predict environmental conditions. While these models are successful for larger scale phenomena, it becomes more complex for local weather or wave processes. Several approaches have been proposed to address this problem, including neural networks and statistical and mathematical models. The novelty in this approach is the use of statistical manifolds, which provide a more accurate way to estimate distances and cost functions. This work focuses on advancements in differential and information geometry for creating different types of models that can be used for environmental simulation and forecasting. These fields are vital for many institutes and centres worldwide, as they help solve challenges in areas such as meteorology, renewable energy, and aviation safety. Some potential IG applications to advance energy were given. Closing remarks with new open problems combined with the next research phase are provided.

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Inductive Inferences of Z-Entropy Formalism (ZEF) Stable M/G/1 Queue with Heavy Tails

Cited by 18 publications

References 15 publications

Fractal Dimension of Generalized Rényian Entropy With Potential Fractal Dimension Applications to Smart Cities

Fractal Dimension of Generalized Rényian Entropy With Potential Fractal Dimension Applications to Smart Cities

Entropic Artificial Intelligence and Knowledge Transfer

The Info-Geometric Analysis of Wind Speed Dynamics and How Energy Is Influentially Impacted by Information Geometry (IG)

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