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/*
 * Copyright (c) 2010-2021 Haifeng Li. All rights reserved.
 *
 * Smile is free software: you can redistribute it and/or modify
 * it under the terms of the GNU General Public License as published by
 * the Free Software Foundation, either version 3 of the License, or
 * (at your option) any later version.
 *
 * Smile is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 * GNU General Public License for more details.
 *
 * You should have received a copy of the GNU General Public License
 * along with Smile.  If not, see .
 */

package smile.regression;

import smile.math.kernel.MercerKernel;

import java.io.Serial;

/**
 * The learning methods building on kernels. Kernel methods owe their name to
 * the use of kernel functions, which enable them to operate in a high-dimensional,
 * implicit feature space without ever computing the coordinates of the data
 * in that space, but rather by simply computing the inner products between
 * the images of all pairs of data in the feature space.
 * 

* Kernel methods can be thought of as instance-based learners: rather than * learning some fixed set of parameters corresponding to the features of * their inputs, they instead store (a subset of) their training set (or * a new representation) and learn for it a corresponding weight. Prediction * for unlabeled inputs is treated by the application of a similarity function. * * @param the data type of model input objects. * * @author Haifeng Li */ public class KernelMachine extends smile.base.svm.KernelMachine implements Regression { @Serial private static final long serialVersionUID = 2L; /** * Constructor. * @param kernel Kernel function. * @param instances The instances in the kernel machine, e.g. support vectors. * @param weight The weights of instances. */ public KernelMachine(MercerKernel kernel, T[] instances, double[] weight) { this(kernel, instances, weight, 0.0); } /** * Constructor. * @param kernel Kernel function. * @param instances The instances in the kernel machine, e.g. support vectors. * @param weight The weights of instances. * @param b The intercept; */ public KernelMachine(MercerKernel kernel, T[] instances, double[] weight, double b) { super(kernel, instances, weight, b); } @Override public double predict(T x) { return score(x); } }





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