Book Image

Machine Learning Algorithms - Second Edition

Book Image

Machine Learning Algorithms - Second Edition

Overview of this book

Machine learning has gained tremendous popularity for its powerful and fast predictions with large datasets. However, the true forces behind its powerful output are the complex algorithms involving substantial statistical analysis that churn large datasets and generate substantial insight. This second edition of Machine Learning Algorithms walks you through prominent development outcomes that have taken place relating to machine learning algorithms, which constitute major contributions to the machine learning process and help you to strengthen and master statistical interpretation across the areas of supervised, semi-supervised, and reinforcement learning. Once the core concepts of an algorithm have been covered, you’ll explore real-world examples based on the most diffused libraries, such as scikit-learn, NLTK, TensorFlow, and Keras. You will discover new topics such as principal component analysis (PCA), independent component analysis (ICA), Bayesian regression, discriminant analysis, advanced clustering, and gaussian mixture. By the end of this book, you will have studied machine learning algorithms and be able to put them into production to make your machine learning applications more innovative.
Table of Contents (19 chapters)

Kernel-based classification

When working with non-linear problems, it's useful to transform the original vectors by projecting them into a (often higher-dimensional) space where they can be linearly separated. Let's suppose we consider a mapping function from the input sample space X to another one, V:

We saw a similar approach when we discussed polynomial regression. SVMs also adopt the same strategy, assuming that when the samples have been projected onto V they can be separated easily. However, now there's a complexity problem that we need to overcome. The mathematical formulation, in fact, becomes as follows:

Every feature vector is now filtered by a non-linear function that can completely reshape the scenario. However, the introduction of such a function generally increases the computational complexity in a way that may discourage you from using this approach...