摘要： 在正则化多核学习中，稀疏的核函数权值会导致有用信息丢失和泛化性能退化，而通过非稀疏模型选取所有核函数则会产生较多的冗余信息并对噪声敏感。针对上述问题，基于AdaBoost框架提出一种弹性网型正则化多核学习算法。在迭代选取基本分类器时对核函数的权值进行弹性网型正则化约束，即混合L₁范数和L_p范数约束，构造基于多个基本核最优凸组合的基本分类器，并将其集成到最终的强分类器中。实验结果表明，该算法在保留集成算法优势的同时，能够实现核函数权值稀疏性和非稀疏性的平衡，与L₁-MKL和L_p-MKL算法相比，能够以较少的迭代次数获得分类精度较高的分类器。

关键词: 集成学习, 多核学习, 弹性网型正则化, 弱分类器, 稀疏性

Abstract: In regularization multi kernel learning,the sparse kernel function weight leads to the loss of useful information and the degradation of generalization performance,while selecting all kernel functions through non-sparse models generates more redundant information and is sensitivity to noise.Aiming at these problems,an elastic-net regularization multi kernel learning algorithm based on AdaBoost architecture is proposed.When the basic classifier is selected at each iteration,the weight of the kernel function is added with the elastic-net regularization,that is,mixed L₁ norm and L_p norm constraints.The basic classifier are constructed based on multi basic kernel optimal convex combinations,which are integrated into the final strong classifier.Experimental results show that the proposed algorithm can balance the sparsity and non-sparsity of the weight in kernel function while preserving the advantages of the integrated algorithm.Compared with L₁-MKL and L_p-MKL algorithms,it can obtain the classifier with higher classification accuracy in fewer iterations.

Key words: ensemble learning, multi kernel learning, elastic-net regularization, weak classifier, sparsity

中图分类号: 

• TP18