An Improved Cross-Entropy Method Applied to Inverse Problems

An, Siguang; Yang, Shiyou; Ho, S. L.; Ni, Peihong

doi:10.1109/tmag.2011.2173303

Cited by 9 publications

(3 citation statements)

References 10 publications

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“…Shannon entropy was further expanded, i.e. cumulative residual entropy [15][16][17], joint entropy [18,19], conditional entropy [20][21][22], exponential entropy [23], mutual information entropy [24,25], cross entropy [26][27][28], maximum entropy principle [29,30] and so on. These results have prompted the development of information entropy.…”

Section: Shannon Information Theorymentioning

confidence: 99%

Information Theory on Change to Reflection

Xu¹,

Wang

Liu

et al. 2023

SpringerBriefs in Computer Science

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Information reflects the existence, basic characteristics, and movement states of matter in the world. In the information society, it is difficult for human activities to leave information for the wide application of information technologies and systems bring a broad significance. Having achievements in both theory and application, information theory can be divided into the information theory on change and the information theory on reflection on the basis of cognitive perspective. In this chapter, the objective information theory (OIT) will be introduced to the background and motivation. It starts from the information theory on change. The bottleneck problems are discussed on information science, and information system. Then, the information theory on reflection is put forward. Two theories are further discriminated from the perspective of information. Finally, the monograph contents are briefed.

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Section: Shannon Information Theorymentioning

confidence: 99%

Information Theory on Change to Reflection

Xu¹,

Wang

Liu

et al. 2023

SpringerBriefs in Computer Science

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“…Each algorithm runs 10 times independently. Also, the results obtained by using five other optimal algorithms DE1, DE2, ARDGDE1, ARDGDE2 (Coelho et al, 2009) and improved cross entropy method (An et al, 2012) have been taken from the literature for comparisons. Tables VIII and IX summarize the optimal results of different optimal approaches.…”

Section: Applicationmentioning

confidence: 99%

A modified quantum-based particle swarm optimization for engineering inverse problem

Rehman

Yang

Khan

2017

COMPEL

Self Cite

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Purpose The purpose of this paper is to explore the potential of standard quantum-based particle swarm optimization (QPSO) methods for solving electromagnetic inverse problems. Design/methodology/approach A modified QPSO algorithm is designed. Findings The modified QPSO algorithm is an efficient and robust global optimizer for optimizing electromagnetic inverse problems. More specially, the experimental results as reported on different case studies demonstrate that the proposed method can find better final optimal solution at an early stage of the iterating process (uses less iterations) as compared to other tested optimal algorithms. Originality/value The modifications include the design of a new position updating formula, the introduction of a new mutation strategy and a dynamic control parameter to intensify the convergence speed of the algorithm.

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“…Large amount of following studies have successively introduced the concepts of the expansion of Hartley entropy and Shannon entropy [16], relative entropy [17], cumulative residual entropy [18][19][20][21], joint entropy [22,23], conditional entropy [24][25][26], mutual information [27][28][29][30][31][32], cross entropy [33][34][35][36][37][38], fuzzy entropy [15,39], maximum entropy principle [40,41] and minimum cross-entropy principle [42,43], and a series of achievements have been made in these aspects. Zhong makes use of general information functions to unify the methods of describing information metrics with Entropy formulas [4].…”

Section: About the Metrics Of Informationmentioning

confidence: 99%

Objective information theory: A Sextuple model and 9 kinds of metrics

Shen

et al. 2014

2014 Science and Information Conference

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In the contemporary era, the importance of information is undisputed, but there has never been a common understanding of information, nor a unanimous conclusion to the researches on information metrics. Based on the previous studies, this paper analyzes the important achievements in the researches of the properties and metrics of information as well as their main insufficiencies, and discusses the essence and connotation, the mathematical expressions and other basic problems related to information. On the basis of the understanding of the objectivity of information, it proposes the definitions and a Sextuple model of objective information; discusses the basic properties of information, and brings forward the definitions and mathematical expressions of nine kinds of metrics of information, i.e., extensity, detailedness, sustainability, richness, containability, delay, distribution, validity and matchability. Through these, this paper establishes a basic theory frame of Objective Information Theory to support the analysis and research on information and information system systematically and comprehensively.

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An Improved Cross-Entropy Method Applied to Inverse Problems

Cited by 9 publications

References 10 publications

Information Theory on Change to Reflection

Information Theory on Change to Reflection

A modified quantum-based particle swarm optimization for engineering inverse problem

Objective information theory: A Sextuple model and 9 kinds of metrics

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