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Computing Maximum Entropy Densities: A Hybrid Approach
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Signal Processing: An International Journal (SPIJ)
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Volume:  4    Issue:  2
Pages:  68-137
Publication Date:   May 2010
ISSN (Online): 1985-2339
Pages 
114 - 122
Author(s)  
Badong Chen - China
Jinchun Hu - China
Yu Zhu - China
 
Published Date   
10-06-2010 
Publisher 
CSC Journals, Kuala Lumpur, Malaysia
ADDITIONAL INFORMATION
Keywords   Abstract   References   Cited by   Related Articles   Collaborative Colleague
 
KEYWORDS:   Maximum entropy principle (MEP), maximum entropy density (MaxEnt density), Lagrangian multiplier, Newton's method, hybrid algorithm 
 
 
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This paper proposes a hybrid method to calculate the maximum entropy (MaxEnt) density subject to known moment constraints, which combines the linear equation (LE) method and Newton¡¯s method together. The new approach is more computationally efficient than ordinary Newton¡¯s method as it usually takes fewer Newton iterations to reach the final solution. Compared with the simple LE method, the hybrid algorithm will produce a more accurate solution. Numerical examples confirm the excellent performance of the proposed method.  
 
 
 
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10 L. R. Mead, N. Papanicolaou, “Maximum entropy in the problem of moments”, Journal of Mathematical Physics, 25(8): 2404-2417, 1984
 
 
 
 
 
 
 
 
Badong Chen : Colleagues
Jinchun Hu : Colleagues
Yu Zhu : Colleagues  
 
 
 
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