#### Overview of this book

Machine learning as a field promises to bring increased intelligence to the software by helping us learn and analyse information efficiently and discover certain patterns that humans cannot. This book will be your guide as you embark on an exciting journey in machine learning using the popular Swift language. We’ll start with machine learning basics in the first part of the book to develop a lasting intuition about fundamental machine learning concepts. We explore various supervised and unsupervised statistical learning techniques and how to implement them in Swift, while the third section walks you through deep learning techniques with the help of typical real-world cases. In the last section, we will dive into some hard core topics such as model compression, GPU acceleration and provide some recommendations to avoid common mistakes during machine learning application development. By the end of the book, you'll be able to develop intelligent applications written in Swift that can learn for themselves.
Title Page
Packt Upsell
Contributors
Preface
Free Chapter
Getting Started with Machine Learning
Classification – Decision Tree Learning
K-Nearest Neighbors Classifier
K-Means Clustering
Association Rule Learning
Linear Classifier and Logistic Regression
Neural Networks
Convolutional Neural Networks
Natural Language Processing
Machine Learning Libraries
Optimizing Neural Networks for Mobile Devices
Best Practices
Index

## Generating all possible rules

We need a method to generate all possible combinations of elements of this array. Combinations are found via the binary representation of subsets, as shown in the following snippet:

```public extension Array {
public func combinations() -> [[Element]] {
if isEmpty { return [] }
let numberOfSubsets = Int(pow(2, Double(count)))
var result = [[Element]]()
for i in 0..<numberOfSubsets {
var remainder = i
var index = 0
var combination = [Element]()
while remainder > 0 {
if remainder % 2 == 1 {
combination.append(self[index])
}
index += 1
remainder /= 2
}
result.append(combination)
}
return result
}
} ```

The following usage example:

```let array = [1,2,3]
print(array.combinations()) ```

Produces:

`[[], [1], [2], [1, 2], [3], [1, 3], [2, 3], [1, 2...`