Mapping the global minima of binary Morse clusters: The effects of range mismatch

2013 ◽  
Vol 1021 ◽  
pp. 7-15 ◽  
Author(s):  
F. Calvo ◽  
E. Yurtsever
Keyword(s):  
2019 ◽  
Author(s):  
Chem Int

The full conformational space of N-formyl-L-alanine-amide was explored by the semi-empirical method AM1 coupled to the Multi Niche Crowding (MNC) genetic algorithm implemented in a package of programs developed in our laboratory. The structural and energy analysis of the resulting conformational space E(,ψ) exhibits 5 regions or minima ɣL, ɣD, ɛL, D and αD. The technique provides better detection of local and global minima within a reasonable time.


2021 ◽  
pp. 138675
Author(s):  
Manal Abed Mohammed ◽  
Heider A. Abdulhussein ◽  
Muhsen Abood Muhsen Al-ibadi ◽  
Rajesh Kumar Raju ◽  
Roy L. Johnston

2010 ◽  
Vol 2010 ◽  
pp. 1-10 ◽  
Author(s):  
Weixiang Wang ◽  
Youlin Shang ◽  
Ying Zhang

A filled function approach is proposed for solving a non-smooth unconstrained global optimization problem. First, the definition of filled function in Zhang (2009) for smooth global optimization is extended to non-smooth case and a new one is put forwarded. Then, a novel filled function is proposed for non-smooth the global optimization and a corresponding non-smooth algorithm based on the filled function is designed. At last, a numerical test is made. The computational results demonstrate that the proposed approach is effcient and reliable.


2006 ◽  
Vol 73 (3) ◽  
Author(s):  
Eric Lewin Altschuler ◽  
Antonio Pérez–Garrido
Keyword(s):  

2016 ◽  
Vol 65 (1) ◽  
pp. 261-288 ◽  
Author(s):  
Ahmad Ahmad Ali ◽  
Klaus Deckelnick ◽  
Michael Hinze

1999 ◽  
Vol 110 (15) ◽  
pp. 7412-7420 ◽  
Author(s):  
B. M. Smirnov ◽  
A. Yu. Strizhev ◽  
R. S. Berry
Keyword(s):  

2005 ◽  
Vol 412 (1-3) ◽  
pp. 23-28 ◽  
Author(s):  
Briesta S. González ◽  
Javier Hernández-Rojas ◽  
David J. Wales
Keyword(s):  

2003 ◽  
Vol 125 (37) ◽  
pp. 11409-11417 ◽  
Author(s):  
Levent Sari ◽  
M. C. McCarthy ◽  
Henry F. Schaefer ◽  
P. Thaddeus

Author(s):  
Sanjeev Karmakar ◽  
Manoj Kumar Kowar ◽  
Pulak Guhathakurta

The objective of this study is to expand and evaluate the back-propagation artificial neural network (BPANN) and to apply in the identification of internal dynamics of very high dynamic system such long-range total rainfall data time series. This objective is considered via comprehensive review of literature (1978-2011). It is found that, detail of discussion concerning the architecture of ANN for the same is rarely visible in the literature; however various applications of ANN are available. The detail architecture of BPANN with its parameters, i.e., learning rate, number of hidden layers, number of neurons in hidden layers, number of input vectors in input layer, initial and optimized weights etc., designed learning algorithm, observations of local and global minima, and results have been discussed. It is observed that obtaining global minima is almost complicated and always a temporal nervousness. However, achievement of global minima for the period of the training has been discussed. It is found that, the application of the BPANN on identification for internal dynamics and prediction for the long-range total annual rainfall has produced good results. The results are explained through the strong association between rainfall predictors i.e., climate parameter (independent parameter) and total annual rainfall (dependent parameter) are presented in this paper as well.


Author(s):  
Lifu Wang ◽  
Bo Shen ◽  
Ning Zhao ◽  
Zhiyuan Zhang

The residual network is now one of the most effective structures in deep learning, which utilizes the skip connections to “guarantee" the performance will not get worse. However, the non-convexity of the neural network makes it unclear whether the skip connections do provably improve the learning ability since the nonlinearity may create many local minima. In some previous works [Freeman and Bruna, 2016], it is shown that despite the non-convexity, the loss landscape of the two-layer ReLU network has good properties when the number m of hidden nodes is very large. In this paper, we follow this line to study the topology (sub-level sets) of the loss landscape of deep ReLU neural networks with a skip connection and theoretically prove that the skip connection network inherits the good properties of the two-layer network and skip connections can help to control the connectedness of the sub-level sets, such that any local minima worse than the global minima of some two-layer ReLU network will be very “shallow". The “depth" of these local minima are at most O(m^(η-1)/n), where n is the input dimension, η<1. This provides a theoretical explanation for the effectiveness of the skip connection in deep learning.


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