Complexity / 2018 / Article / Alg 1

Research Article

Dynamic Prediction Research of Silicon Content in Hot Metal Driven by Big Data in Blast Furnace Smelting Process under Hadoop Cloud Platform

Algorithm 1

Pegasos algorithm for solving SVM.
Input: Training data set , Iterations , The number of samples selected per round of iterations;
Output: The normal vector of a hyperplane .
Main procedure:
1. Initialization vector w, arbitrarily select a vector w1, and request ;
2. For
   2.1 Select k samples from the training set S, subset , and replace the objective function with:
              
   2.2 Determine the learning efficiency of the gradient descent method;
   2.3 The use of in to determine the current loss of nonzero samples into a new subset
                
     The sub-gradient direction of the objective function can be expressed as:
                  
      2.4 Update:
              
      2.5 Projection steps:
                  
3. Get the final result

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