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Numerical Simulation and Modeling

  • Cross Validation: a resampling method that uses different portions of the data to test and train a model on different iterations, used here to compare the accuracy of linear regression to that of KNN (K Nearest Neighbours) on a given dataset.
  • Gaussian Elimination: algorithm for solving systems of linear equations.
  • Jacobi and Gauss Seidel Methods: a comparison of results of the two iterative methods used to solve a system of linear equations.
  • NRMSE (Normalized Root Mean Square Error ): frequently used measure of the differences between values predicted by a model or an estimator and the values observed, here used to compare the accuracy of prediction of linear regression to that of KNN.
  • Pi estimation using Monte Carlo: generating a uniform sample of points and counting how many fall into a planar region, in this case a quarter of a circle, plus a matlab script to plot the points generated.