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Statistical Learning Theory

A chapter on statistical machine learning covering SVMs, k-nearest neighbor, Naive Bayes, artificial neural networks, and instance-based learning.

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Statistical Learning Theory

By Yuhai WuTechnometrics
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This chapter presents techniques for statistical machine learning, framing statistical systems as programs that learn from data rather than from the environment in general. It covers Support Vector Machines for recognizing and classifying patterns and for predicting structured objects, the k-nearest neighbor method for classification, and Naive Bayes classifiers.

The chapter also introduces artificial neural networks with brief treatments of error-correction rules, Boltzmann learning, the Hebbian rule, competitive learning, and deep learning, and treats instance-based learning in detail with its algorithm and learning task. It concludes with a summary and a set of practice exercises, providing an instructional overview of these core statistical learning methods.

Abstract

Statistical machine learning systems learn from data rather than the environment in general. This chapter presents techniques including Support Vector Machines for pattern recognition and classification, SVM prediction of structured objects, the k-nearest neighbor method, and Naive Bayes classifiers. It also introduces artificial neural networks — error-correction rules, Boltzmann learning, the Hebbian rule, competitive learning, deep learning — treats instance-based learning in detail, and concludes with a summary and practice exercises.

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statistical learningsupport vector machinesk-nearest neighborNaive Bayesneural networksinstance-based learning
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