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Random Walk strategies for optimization algorithms using Low-Discrepancy Sequences and quasi-Monte Carlo simulations

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Randomwalks

Random Walk strategies for optimization algorithms using Low-Discrepancy Sequences and quasi-Monte Carlo simulations. Sobol quasi-random sequence was developed in 1967. Since then, it has evolved. I have contributed to the method by adding two-quasi Monte Carlo sequences in the original version to improve the uniformity in distribution. I am calling this improvement as Sanitized-SOBOL method.

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NOVEL TRIPATHI-SHARMA QUASI SEQUENCE

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Usage Method :

  • The method i4_sobol_generate(dim,PopSize,0) generates a Sobol dataset.
  •  Inputs: 
    dim_num - the spatial dimension, 
    n - (int) number of points to generate; SKIP
    no. of initial points to skip.
    
  •  Output: 
    Real R(M,N), the point
    Usage : df1 = i4_sobol_generate(dim,PopSize,0). e.g. df = i4_sobol_generate(3,4,1)_
    

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Random Walk strategies for optimization algorithms using Low-Discrepancy Sequences and quasi-Monte Carlo simulations

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