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/*******************************************************************************
* Copyright (c) 2010 Haifeng Li
*
* 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 smile.stat.distribution;
/**
* The purpose of this interface is mainly to define the method M that is
* the Maximization step in the EM algorithm. Note that distributuions of exponential
* family has the close-form solutions in the EM algorithm. With this interface,
* we may allow the mixture contains distributions of different form as long as
* it is from exponential family.
*
* @see ExponentialFamilyMixture
* @see DiscreteExponentialFamilyMixture
*
* @author Haifeng Li
*/
public interface DiscreteExponentialFamily {
/**
* The M step in the EM algorithm, which depends the specific distribution.
*
* @param x the input data for estimation
* @param posteriori the posteriori probability.
* @return the (unnormalized) weight of this distribution in the mixture.
*/
public DiscreteMixture.Component M(int[] x , double[] posteriori);
}
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