call kosi in matlab

To call the KOSI (Kriging-Based Optimization and Sampling Interface) functions in Matlab, first ensure that the KOSI package is installed and added to your Matlab path. Then, use the kriging_init, kriging_train, and kriging_predict functions to initialize, train, and predict with a kriging model, respectively. Here's an example:

main.m
% Load sample dataset
load('kosi_dataset.mat');

% Initialize kriging model
kriging_model = kriging_init(x_train, y_train);

% Train kriging model
theta_init = [0.5, 0.5, 0.5];    % Initial guess of hyperparameters
theta_bounds = [0, 0, 0; 1, 1, 1];    % Bounds for hyperparameters
[theta_opt, ll_opt] = kriging_train(kriging_model, theta_init, theta_bounds);

% Predict with kriging model
x_test = [0.2, 0.4, 0.6];
[y_pred, y_var] = kriging_predict(kriging_model, x_test, theta_opt);
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This code loads a sample dataset, initializes a kriging model using kriging_init, trains the model using kriging_train, and predicts with the model using kriging_predict. These functions are part of the KOSI package, which is used for kriging-based optimization and sampling.

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