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Clojure for Data Science

Clojure for Data Science

By : Garner
5 (4)
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Clojure for Data Science

Clojure for Data Science

5 (4)
By: Garner

Overview of this book

The term “data science” has been widely used to define this new profession that is expected to interpret vast datasets and translate them to improved decision-making and performance. Clojure is a powerful language that combines the interactivity of a scripting language with the speed of a compiled language. Together with its rich ecosystem of native libraries and an extremely simple and consistent functional approach to data manipulation, which maps closely to mathematical formula, it is an ideal, practical, and flexible language to meet a data scientist’s diverse needs. Taking you on a journey from simple summary statistics to sophisticated machine learning algorithms, this book shows how the Clojure programming language can be used to derive insights from data. Data scientists often forge a novel path, and you’ll see how to make use of Clojure’s Java interoperability capabilities to access libraries such as Mahout and Mllib for which Clojure wrappers don’t yet exist. Even seasoned Clojure developers will develop a deeper appreciation for their language’s flexibility! You’ll learn how to apply statistical thinking to your own data and use Clojure to explore, analyze, and visualize it in a technically and statistically robust way. You can also use Incanter for local data processing and ClojureScript to present interactive visualisations and understand how distributed platforms such as Hadoop sand Spark’s MapReduce and GraphX’s BSP solve the challenges of data analysis at scale, and how to explain algorithms using those programming models. Above all, by following the explanations in this book, you’ll learn not just how to be effective using the current state-of-the-art methods in data science, but why such methods work so that you can continue to be productive as the field evolves into the future.
Table of Contents (12 chapters)
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11
Index

Classification with logistic regression


In the previous chapter, we saw how linear regression produces a predicted value, ŷ, from an input vector x and a vector of coefficients β:

Here, ŷ can be any real number. Logistic regression proceeds in a very similar way, but adjusts the prediction to guarantee an answer only between zero and one:

Zero and one represent two different classes. The change is a simple one; we simply wrap the prediction in a function g that constrains the output between zero and one:

Where g is called the sigmoid function. This seemingly minor change is enough to transform linear regression into logistic regression and turn real-valued predictions into classes.

The sigmoid function

The sigmoid function is also referred to as the logistic function and is shown next:

For positive inputs, the logistic function rises quickly to one while, for negative inputs, it falls quickly to zero. These outputs correspond to the predicted classes. For values close to zero, the logistic function...

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