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Category: Data Science

Bayes’ Theorem In A Picture

Stephanie Glen gives us the basics of Bayes’ Theorem in a picture:

Bayes’ Theorem is a way to calculate conditional probability. The formula is very simple to calculate, but it can be challenging to fit the right pieces into the puzzle. The first challenge comes from defining your event (A) and test (B); The second challenge is rephrasing your question so that you can work backwards: turning P(A|B) into P(B|A). The following image shows a basic example involving website traffic. For more simple examples, see: Bayes Theorem Problems.

Click through for the image and related links.

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Basic Forensic Accounting Techniques

I continue my series on forensic accounting techniques:

Growth analysis focuses on changes in ratios over time. For example, you may plot annual revenue, cost, and net margin by year. Doing this gives you an idea of how the company is doing: if costs are flat but revenue increases, you can assume economies of scale or economies of scope are in play and that’s a great thing. If revenue is going up but costs are increasing faster, that’s not good for the company’s long-term outlook.

For our data set, I’m going to use the following SQL query to retrieve bus counts on the first day of each year. To make the problem easier, I add and remove buses on that day, so we don’t need to look at every day or perform complicated analyses.

I get into quite a bit in this post, including a quick tour of multicollinearity, which is only my second-favorite of the three linear regression amigos (heteroskedasticity being my favorite and autocorrelation the hanger-on).

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K-Nearest Neighbors in Python

Hardik Jaroli shows how to use the k-Nearest Neighbors algorithm using scikit-learn:

K Nearest Neighbors is a classification algorithm that operates on a very simple principle. It is best shown through example! Imagine we had some imaginary data on Dogs and Horses, with heights and weights.

Training Algorithm:
1. Store all the Data

Prediction Algorithm:
1.Calculate the distance from x to all points in your data
2. Sort the points in your data by increasing distance from x
3. Predict the majority label of the “k” closest points

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Learning with Limited Data

Shioulin Sam and Nisha Muktewar have new research on machine learning when getting labeled data is time-consuming or difficult:

We are excited to release Learning with Limited Labeled Data, the latest report and prototype from Cloudera Fast Forward Labs.

Being able to learn with limited labeled data relaxes the stringent labeled data requirement for supervised machine learning. Our report focuses on active learning, a technique that relies on collaboration between machines and humans to label smartly.

Active learning makes it possible to build applications using a small set of labeled data, and enables enterprises to leverage their large pools of unlabeled data. In this blog post, we explore how active learning works. (For a higher level introduction, please see our previous blogpost.

The research itself is behind a paywall but you can see their write-up to get an idea of the topic.

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Getting Started with Azure Databricks

Brad Llewellyn has a tutorial for Azure Databricks:

Databricks is a managed Spark framework, similar to what we saw with HDInsight in the previous post.  The major difference between the two technologies is that HDInsight is more of a managed provisioning service for Hadoop, while Databricks is more like a managed Spark platform.  In other words, HDInsight is a good choice if we need the ability to manage the cluster ourselves, but don’t want to deal with provisioning, while Databricks is a good choice when we simply want to have a Spark environment for running our code with little need for maintenance or management.

Azure Databricks is not a Microsoft product.  It is owned and managed by the company Databricks and available in Azure and AWS.  However, Databricks is a “first party offering” in Azure.  This means that Microsoft offers the same level of support, functionality and integration as it would with any of its own products.  You can read more about Azure Databricks herehereand here.

Click through for a demonstration of the product.

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Solving Logistic Regression Problems with Python

Hardik Jaroli shows how we can solve logistic regression problems using Python, using the Titanic data set as an example:

We will be working with the Titanic Data Set from Kaggle. We’ll be trying to predict a classification- survival or deceased.

Let’s begin by implementing Logistic Regression in Python for classification. We’ll use a “semi-cleaned” version of the titanic data set, if you use the data set hosted directly on Kaggle, you may need to do some additional cleaning.

Click through for the demo.

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Finding an Unfair Coin with R

Sebastian Sauer works out a coin flip problem:

A stochastic problem, with application to financial theory. Some say it goes back to Warren Buffett. I relied to my colleague Norman Markgraf, who pointed it out to me.

Assume there are two coins. One is fair, one is loaded. The loaded coin has a bias of 60-40. Now, the question is: How many coin flips do you need to be “sure enough” (say, 95%) that you found the loaded coin?

Let’s simulate la chose.

It took a few more flips than I had expected but the number is not outlandish.

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Python Natural Language Processing Tools

Sandeep Aspari takes us through some of the tooling available in Python around Natural Language Processing:

TextBlob
TextBlob is a python library tool and extension of NLTK. It provides a simple API approach to its methods and executes a large number of NLTK functions, and it also includes the pattern library functionality. You are just at the beginning, this might be an excellent tool to learning, and we can use it in applications production those don’t require heavy performant. TextBlob libraries are similar to python strings, so we can quickly transform and play similarly we performed in python. Finally, TextBlob is used in everywhere, and it is best suitable for smaller projects.

There are several tools from which you can choose. Sandeep also gives us some Node- and Java-based tools as well.

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Residual Analysis with R

Abhijit Telang shares a few techniques for doing post-regression residual analysis using R:

Naturally, I would expect my model to be unbiased, at least in intention, and hence any leftovers on either side of the regression line that did not make it on the line are expected to be random, i.e. without any particular pattern.

That is, I expect my residual error distributions to follow a bland, normal distribution.

In R, you can do this elegantly with just two lines of code. 
1. Plot a histogram of residuals 
2. Add a Quantile-Quantile plot with a line that passes through, namely, the first and third quantiles.

There are several more techniques in here to analyze residuals, so check it out.

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