Method getSimpleRegression1

JSAT/test/jsat/FixedProblems.java:165–174

Creates a new Regression problem of the for x 2 +c sin(x 2 ) = y. It is meant to be an easy test case for non-linear regression algorithms. @param dataSetSize the number of data points to generate @param rand the source of randomness @return a new regression data set

(int dataSetSize, Random rand)

     * @return a new regression data set
     */
    public static RegressionDataSet getSimpleRegression1(int dataSetSize, Random rand)
    {
        RegressionDataSet rds = new RegressionDataSet(2, new CategoricalData[0]);
        for(int i = 0; i < dataSetSize; i++)
        {
            Vec s = new DenseVector(new double[]{rand.nextDouble()*4, rand.nextDouble()*4});
            rds.addDataPoint(s, new int[0], s.get(0)+4*Math.cos(s.get(1)));
        }
        return rds;
    }
    
    /**
     * Returns a classification problem with small uniform noise where there is