Advanced Intelligent Computing Theories and Applications. by Xue-Quan Xu, Xian-Bin Wen, Yue-Qing Li, Jin-Juan Quan

By Xue-Quan Xu, Xian-Bin Wen, Yue-Qing Li, Jin-Juan Quan (auth.), De-Shuang Huang, Laurent Heutte, Marco Loog (eds.)

The foreign convention on clever Computing (ICIC) was once shaped to supply an annual discussion board devoted to the rising and difficult themes in man made intelligence, laptop studying, bioinformatics, and computational biology, and so forth. It goals to deliver - gether researchers and practitioners from either academia and to percentage rules, difficulties and strategies on the topic of the multifaceted points of clever computing. ICIC 2007, held in Qingdao, China, August 21-24, 2007, constituted the 3rd - ternational convention on clever Computing. It outfitted upon the good fortune of ICIC 2006 and ICIC 2005 held in Kunming and Hefei, China, 2006 and 2005, respectively. This yr, the convention focused mostly at the theories and methodologies in addition to the rising purposes of clever computing. Its goal used to be to unify the image of latest clever computing concepts as an critical idea that highlights the tendencies in complex computational intelligence and bridges theoretical learn with functions. hence, the subject matter for this convention used to be “Advanced clever Computing know-how and Applications”. Papers targeting this subject matter have been solicited, addressing theories, methodologies, and functions in technological know-how and technology.

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Extra resources for Advanced Intelligent Computing Theories and Applications. With Aspects of Artificial Intelligence: Third International Conference on Intelligent Computing, ICIC 2007, Qingdao, China, August 21-24, 2007. Proceedings

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Some global convergence conditions for (2) and (3) are obtained to in [8]. In fact, (2) can be regarded as a special case of the following algorithm: Δx(k) = −diag{α1 , α2 , · · · , αn }∇F (x(k)), (4) where αi (i = 1, 2, · · · , n) are learning parameters, n is the dimension number of the matrix H. In addition, (3) can be regarded as a special case of the following algorithm: Δx(k) = diag{γ1 , γ2 , · · · , γn }Δx(k − 1) −diag{(1 − γ1 )α1 , (1 − γ2 )α2 , · · · , (1 − γn )αn }∇F (x(k)). (5) where the momentum parameters γi (i = 1, 2, · · · , n) will be in the range 0 < γi < 1.

5)t , where t is natural number. Hence, the algorithm (4) does more accurately than the algorithm (2). 0001 The actual values and estimate values of xi in the algorithms (2) and (4) with the initial string (−1, 2)T . 0267 The actual values and estimate values of xi in the algorithms (2) and (4) with the initial string (−2, −1)T . Times 12 Z. 0001 The actual values and estimate values of xi in the algorithms (2) and (4) with the initial string (1, 2)T . 0001 The actual values and estimate values of xi in the algorithms (2) and (4) with the initial string (−2, 1)T .

The purpose of using momentum is to smooth the weight trajectory and speed the convergence of the algorithm [3]. It is also sometimes credited with avoiding local minima in the error surface. BP can be shown to be a straightforward gradient descent on the least squares error, and it has been shown recently that BP converges to a local minimum of the error. While it is observed that the BPM algorithm shows a much higher rate of convergence than the BP algorithm. Although squared error functions are only quadratic for linear networks, they are approximately quadratic for any smooth error functions in the neighborhood of a local minimum.

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