Book Image

Scientific Computing with Scala

By : Vytautas Jancauskas
Book Image

Scientific Computing with Scala

By: Vytautas Jancauskas

Overview of this book

Scala is a statically typed, Java Virtual Machine (JVM)-based language with strong support for functional programming. There exist libraries for Scala that cover a range of common scientific computing tasks – from linear algebra and numerical algorithms to convenient and safe parallelization to powerful plotting facilities. Learning to use these to perform common scientific tasks will allow you to write programs that are both fast and easy to write and maintain. We will start by discussing the advantages of using Scala over other scientific computing platforms. You will discover Scala packages that provide the functionality you have come to expect when writing scientific software. We will explore using Scala's Breeze library for linear algebra, optimization, and signal processing. We will then proceed to the Saddle library for data analysis. If you have experience in R or with Python's popular pandas library you will learn how to translate those skills to Saddle. If you are new to data analysis, you will learn basic concepts of Saddle as well. Well will explore the numerical computing environment called ScalaLab. It comes bundled with a lot of scientific software readily available. We will use it for interactive computing, data analysis, and visualization. In the following chapters, we will explore using Scala's powerful parallel collections for safe and convenient parallel programming. Topics such as the Akka concurrency framework will be covered. Finally, you will learn about multivariate data visualization and how to produce professional-looking plots in Scala easily. After reading the book, you should have more than enough information on how to start using Scala as your scientific computing platform
Table of Contents (16 chapters)
Scientific Computing with Scala
About the Author
About the Reviewer

Chapter 3. Numerical Computing with Breeze

Breeze is currently the most actively maintained and feature-rich numerical computing library available for Scala. It has data structures for vectors and matrices with real elements and efficient common matrix arithmetic operations. Breeze is similar in scope and purpose to MATLAB's data structures as well as the classes provided by the NumPy library for Python.

You can do basic matrix multiplication, inversion, dot products, determinants, and other operations expected from such a package. It also has a statistics package that contains common statistical distributions and other functions related to probability and statistics, such as Markov chain models. It includes several optimization algorithms. Functions useful for signal processing, such as Fourier transforms, convolution, and various filters are available.

It can also perform basic plotting. In this chapter, you will learn how to use this functionality to write programs for number crunching...