Integrable Equations with a Forcing of a Distribution Type

I consider main features of the formulation of the finite-gap solutions to integrable equations in terms of complex curves and generating 1-differential. The example of periodic Toda chain solutions is considered in detail. Recently found exact nonperturbative solutions to [Formula: see text] SUSY gauge theories are formulated using the methods of the theory of integrable systems and where possible the parallels between standard quantum field theory results and solutions to the integrable systems are discussed.

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Noise Classification Based on GMM and AANN

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.58-60.1847 ◽

2011 ◽

Vol 58-60 ◽

pp. 1847-1853 ◽

Cited By ~ 2

Author(s):

Yan Zhang ◽

Cun Bao Chen ◽

Li Zhao

Keyword(s):

Neural Network ◽

Maximum Likelihood ◽

Gaussian Mixture Model ◽

Mixture Model ◽

Gaussian Mixture ◽

Specific Method ◽

Accuracy Rate ◽

Noise Classification ◽

Distribution Type

In this paper, Gaussian Mixture model (GMM) as specific method is applied to noise classification. On this basis, a modified Gaussian Mixture Model with an embedded Auto-Associate Neural Network (AANN) is proposed. It integrates the merits of GMM and AANN. We train GMM and AANN as a whole and they are trained by means of Maximum Likelihood (ML). In the process of training, the parameter of GMM and AANN are updated alternately. AANN reshapes the distribution of the data and improves the similarity of the feature data in the same distribution type of noise. Experiments show that the GMM with embedded AANN improves accuracy rate of noise classification against baseline GMM.

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Reliability Analysis of Embankment Slope in Yaan-Luku Expressway

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.71-78.1360 ◽

2011 ◽

Vol 71-78 ◽

pp. 1360-1365

Author(s):

Jian Quan Ma ◽

Guang Jie Li ◽

Shi Bo Li ◽

Pei Hua Xu

Keyword(s):

Monte Carlo ◽

Monte Carlo Method ◽

Reliability Analysis ◽

Failure Probability ◽

Latin Hypercube Sampling ◽

Natural State ◽

State Function ◽

Embankment Slope ◽

The Times ◽

Distribution Type

Take a typical cross-section of rockfill embankment slope in Yaan-Luku highway as the research object, reliability analysis is studied under the condition of water table of 840.85m, 851.50m, and loading condition of natural state and horizontal seismic acceleration of 0.2g, respectively. Raw data use Kolmogorov-Smirnov test (K-S test) to determine the distribution type of parametric variation. And the parameters were sampling with Latin hypercube sampling (LHS) method and Monte Carlo (MC) method, respectively, to obtain state function and determine safety factors and reliability indexes. A conclusion is drawn that the times of simulation based on LHS method were less than Monte Carlo method. Also the convergence of failure probability is better than the Monte Carlo method. The safety factor is greater than one and the failure probability has reached to 35.45% in condition of earthquake, which indicating that the instability of rockfill embankment slope is still possible.

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