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The Factorized Distribution Algorithm and the Minimum Relative Entropy Principle [chapter]

Heinz Mühlenbein, Robin Höns
2006 Studies in Computational Intelligence  
The relation between the Factorized Distribution Algorithm FDA and the MinRel approximation is shown.  ...  In this paper the major design issues of EDA's are discussed using an interdisciplinary framework, the minimum relative entropy (MinRel) approximation.  ...  We discuss the problem of computing approximations of distributions using factorizations is investigated with the framework of minimum relative entropy.  ... 
doi:10.1007/978-3-540-34954-9_2 fatcat:q36tru63wrd57erm6srh2m5cei

The Factorized Distribution Algorithm and the Minimum Relative Entropy Principle

Heinz, Robin Ons
unpublished
The relation between the Factorized Distribution Algorithm FDA and the M inRel approximation is shown.  ...  In this paper the major design issues of EDA's are discussed using an interdisciplinary framework, the minimum relative entropy (M inRel) approximation.  ...  Thus MaxEnt is a special case of the minimum relative entropy M inRel principle. But there exists another justification of the MaxEnt solution, it is given by the Maximum Log-Likelihood principle.  ... 
fatcat:g3rmrrnxmnczlflfo7pkawuvjy

A Load Balancing Algorithm Based on Maximum Entropy Methods in Homogeneous Clusters

Long Chen, Kehe Wu, Yi Li
2014 Entropy  
By calculating the entropy of the system and using the maximum entropy principle to ensure that each scheduling and migration is performed following the increasing tendency of the entropy, the system can  ...  The result of simulation experiments show that this algorithm is more advanced when it comes to the time and extent of the load balance of the homogeneous cluster system compared with traditional algorithms  ...  Acknowledgments The authors thank the editor and referees for their helpful conmments.  ... 
doi:10.3390/e16115677 fatcat:faw4bgf23jgc5mgqmpqfc3dnaa

Time Delay Estimation via Minimum Entropy

Jacob Benesty, Yiteng Huang, Jingdong Chen
2007 IEEE Signal Processing Letters  
However, with the generalization of the idea to non-Gaussian signals (e.g., speech), the joint entropy-based new TDE algorithm manifests a potential to outperform the MCCC-based method.  ...  The approach is based on the multichannel crosscorrelation coefficient (MCCC) and was found more robust to noise and reverberation.  ...  In this letter, the concept of minimum entropy is introduced, and a novel entropybased multichannel TDE algorithm is developed.  ... 
doi:10.1109/lsp.2006.884038 fatcat:p5ze4cibcrap5d2v6n6qewkzd4

Combining F-K Filter with Minimum Entropy Stolt Migration Algorithm for Subsurface Object Imaging and Background Permittivity Estimation

Huilin Zhou, Xing Wan, Wei Li, Yuling Jiang
2011 Procedia Engineering  
Besides, a Stolt migration algorithm combined F-K filter with minimum entropy technique is proposed to improve the focus effect of the radar image and realize the precise inversion of background relative  ...  Synthetic data generated by FDTD have been used to test the improved migration algorithm, and the results show that the presented algorithm can achieve comparative results produced by windowed filter based  ...  Acknowledgement This work is supported by the NSFC (No.6106202009) and Key Technology R&D Program of Jiangxi (No. 2009BGB02200).  ... 
doi:10.1016/j.proeng.2011.11.2558 fatcat:4qjj23errnakra5fdxgo3ox62q

Applications of Entropy in Finance: A Review

Rongxi Zhou, Ru Cai, Guanqun Tong
2013 Entropy  
Although the concept of entropy is originated from thermodynamics, its concepts and relevant principles, especially the principles of maximum entropy and minimum cross-entropy, have been extensively applied  ...  In this paper, we review the concepts and principles of entropy, as well as their applications in the field of finance, especially in portfolio selection and asset pricing.  ...  Acknowledgments The authors would like to thank the editor and three anonymous referees for their valuable comments and suggestions.  ... 
doi:10.3390/e15114909 fatcat:ryraewbaxfa5jbvx6eubcazx6e

Robust Detection Method of Arrival Time Difference Under Minimum Maximum Entropy Criterion

Wenhong Liu
2017 Journal Electrical and Electronic Engineering  
Under the minimum maximum entropy criterion, the adaptive filter weight vector will be convergence, and its peak position indicates the arrival time difference.  ...  The computer simulation experiments show the estimation performance of this algorithm under different signal and noise ratio or different impulsive noise intension.  ...  They gave her knowledge, progress, and higher hope in the different stages of life.  ... 
doi:10.11648/j.jeee.20170502.16 fatcat:fmlutkipijhedfxf5wil2rdqeq

The Evaluation of Effectiveness for the Collaborative Combat of an Unmanned Aerial Vehicle Based on Grey Minimum Entropy

Lifan Sun, Jinjin Zhang, Jiashun Chang, Zhumu Fu, Jie Zou
2021 Journal of Aerospace Technology and Management  
At last, the principle of minimum relative entropy is adopted to obtain a more reasonable weight distribution coefficient.  ...  The same study also applied the principle of minimum entropy analysis to obtain the objective weight, which takes into account the interaction between the indicators and greatly improves the objectivity  ...  DATA AVAILABILITY STATEMENT All the datasets were generated during the current study.  ... 
doi:10.1590/jatm.v13.1222 fatcat:7wuxxvknzzhongeaocgkjgq7xe

Finding the Optimal Sample Based on Shannon's Entropy and Genetic Algorithms [chapter]

Edwin Aldana-Bobadilla, Carlos Alfaro-Pérez
2015 Lecture Notes in Computer Science  
In this paper we propose a statistical method based on Shannon's Conditional Entropy which uses a rugged genetic algorithm to find the optimal pdf.  ...  The fitness of an individual is determined by Shannon´s entropy encoded in its genome and an additional constraint related to the "quality" of this solution.  ...  The fitness of an individual is based on the minimum entropy principle and an additional constraint related to the "quality" of the solution.  ... 
doi:10.1007/978-3-319-27060-9_29 fatcat:3p7dksqwdvag5hadignzjeicba

Study on Ultra-short-time Power Forecast of Photovoltaic System based on Ground-based Cloud Image Recognition and Key Impact Factors

Runjie Shen, Yiying Wang, Ruimin Xing, Danqiong Hua, Ming Ma, L. Yang, Z. Xu
2020 E3S Web of Conferences  
Through verification and comparison analysis, it is concluded that the recognition accuracy of the hybrid entropy threshold method is higher, and the average relative error can be controlled at about 5%  ...  Using the correlation analysis, among many impact factors with high correlation, five are extracted as input parameters of a BP network optimized by genetic algorithm (GA-BP).  ...  After calculation, the average relative error of the whole day using the fixed threshold method is 10.77%, the maximum information entropy threshold method is 21.84%, and the minimum cross entropy threshold  ... 
doi:10.1051/e3sconf/202018502028 fatcat:ga7q3z6qrrdgviuk5j3kvavwye

Entropy-based Dispatching: Academic Insights and Perspectives through Bibliometric Analysis

Shiyun Li, Sheng Zhong, Rui Du, Zhi Pei, Yong Chen, Cheng Wang, Wenchao Yi, Guanghua Wu, Ruifeng Lv
2020 IET Collaborative Intelligent Manufacturing  
They compare and analyse the relationship between dispatching problems and entropy theory in different research fields, and provide detailed overviews and discussions on hot topics and potential research  ...  Entropy-based dispatching has attracted more and more attention from professional scholars and engineers. The quantity and quality of publications related to this topic are increasing rapidly.  ...  Acknowledgments The authors are grateful for the financial support partly from the Natural  ... 
doi:10.1049/iet-cim.2020.0011 fatcat:melcjv2y6jasfmvylmgiv5454u

Renormalization Analysis of Topic Models

Sergei Koltcov, Vera Ignatenko
2020 Entropy  
In this paper, the renormalization procedure is developed for the probabilistic Latent Semantic Analysis (pLSA), and the Latent Dirichlet Allocation model with variational Expectation–Maximization algorithm  ...  A combination of renormalization procedure with the Renyi entropy approach allows for quick searching of the optimal number of topics.  ...  Our calculations demonstrate that the fastest procedures are renormalization with the random merging of topics and with the minimum local entropy principle of merging.  ... 
doi:10.3390/e22050556 pmid:33286328 pmcid:PMC7517079 fatcat:kf3ucghnlzcgtdvco2coipnvoq

Max-Entropy Feed-Forward Clustering Neural Network [article]

Han Xiao, Xiaoyan Zhu
2015 arXiv   pre-print
Entropy-Based Principle is the principle with which we could estimate the unknown distribution under some limited conditions.  ...  If we take Entropy-Based Principle into consideration, the outputs for each sample could be represented as the distribution of this sample for different clusters.  ...  When we estimate the unknown probability distribution for data manifold, the Max-Entropy Principle works well, and the clustering algorithm is designed based on this principle. B.  ... 
arXiv:1506.03623v1 fatcat:62j5tchnofh45nbvpai3ztmxci

The Estimation of Distributions and the Minimum Relative Entropy Principle

Heinz Mühlenbein, Robin Höns
2005 Evolutionary Computation  
FDA uses the ADF to compute an approximate factorization of the unknown distribution. The factors are marginal distributions, whose values are computed from samples.  ...  All proposed algorithms try to minimize the Kullback-Leibler divergence ÃÄ between the unknown distribution Դܵ and a class մܵ of approximations. The Kullback-Leibler divergence is not symmetric.  ...  We have identified two principles used for the approximation -minimum relative entropy and minimum expected log-likelihood ratio. Both principles are closely related.  ... 
doi:10.1162/1063656053583469 pmid:15901422 fatcat:6aq3mlpy2vf67l7pqeaulbm2y4

Laplace Entropy and its Application to Time Delay Estimation for Speech Signals

Yiteng Huang, Jacob Benesty, Jingdong Chen
2007 2007 IEEE International Conference on Acoustics, Speech and Signal Processing - ICASSP '07  
Since there is no rigorous mathematical formula for speech entropy, we use the assumption that speech can be plausibly modeled by a Laplace distribution and develop a practical approximation of Laplace  ...  But with the generalization of the idea to non-Gaussian speech signals, the joint entropy based new multichannel TDE algorithm manifests a potential to outperform the MCCC-based method.  ...  In this paper, the concept of minimum entropy is introduced and a novel entropy-based multichannel TDE algorithm is developed.  ... 
doi:10.1109/icassp.2007.366629 dblp:conf/icassp/HuangBC07 fatcat:fhip7mx47rhqdphtt23jmmkk6m
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