/*
* Apache License
* Version 2.0, January 2004
* http://www.apache.org/licenses/
*
* Copyright 2013 Aurelian Tutuianu
* Copyright 2014 Aurelian Tutuianu
* Copyright 2015 Aurelian Tutuianu
* Copyright 2016 Aurelian Tutuianu
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*
*/
package rapaio.ml.classifier.svm.kernel;
import rapaio.data.Frame;
/**
* The Spline kernel is given as a piece-wise cubic polynomial, as derived in the works by Gunn (1998).
* <p>
* Created by <a href="mailto:padreati@yahoo.com">Aurelian Tutuianu</a> at 1/21/15.
*/
public class SplineKernel extends AbstractKernel {
private static final long serialVersionUID = -4985948375658836441L;
@Override
public double eval(Frame df1, int row1, Frame df2, int row2) {
double value = 1;
for (String varName : varNames) {
double x_i = df1.value(row1, varName);
double y_i = df2.value(row2, varName);
double min = Math.min(x_i, y_i);
value *= 1 + x_i * y_i + x_i * y_i * min - (x_i + y_i) * Math.pow(min, 2) / 2.0 + Math.pow(min, 3) / 3;
}
return value;
}
@Override
public Kernel newInstance() {
return new SplineKernel();
}
@Override
public String name() {
return "Spline";
}
}