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Data Analytics Data Science education Mathematics Statistics

Deriving Least Squares Coefficients Using Tensor/Index Notation

Many textbooks when introducing ordinary least squares as a method to do regression (usually via introducing linear regression) don’t explain / derive the coefficients. Here, I explain how to do it using tensor/index notation.

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Data Analytics Data Science Hollywood Movies Statistics

Movie Sentiment Tracker

I wrote an extensive application using NLP and TensorFlow/Keras in Python that looks at all of the current and upcoming Hollywood releases for 2020 and tracks the online Twitter sentiment for each of them. The model output was then displayed in a PowerBI dashboard. In essence, we are predicting the classification probability . You can […]

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Basketball Mathematics NBA Sports Statistics

A Problem With Offensive Rating

Abstract: It is shown that the standard/common definition of team offensive rating/offensive efficiency implies that a team’s offensive rating increases as its opponent’s offensive rebounds increase, which, in principle, should not be the case. Over the past number of years, the advanced metric known as Offensive Rating has become the standard way of measuring a basketball […]

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Basketball Data Analytics Data Science Mathematics NBA Sports Statistics Uncategorized

NBA Analytics Dashboard

Here is an embedded dashboard that shows a number of statistical insights for NBA teams, their opponents, and individual players as well. You can compare multiple teams and players. Navigate through  the different pages by clicking through the scrolling arrow below. (The data is based on the most recent season “per-game” numbers.) (If you cannot […]

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Basketball Data Analytics Data Science Mathematics NBA NBA Finals NBA Playoffs Sports Statistics

How to Beat the Golden State Warriors

By: Dr. Ikjyot Singh Kohli The Golden State Warriors have posed quite the conundrum for opposing teams. They are quick, have a spectacular ability to move the ball, and play suffocating defense. Given their play in the playoffs thus far, all of these points have been exemplified even more to the point where it seems […]

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Basketball Data Analytics Data Science Mathematics NBA NBA Finals NBA Playoffs Sports Statistics

Basketball Machine Learning Paper Updated 

I have now made a significant update to my applied machine learning paper on predicting patterns among NBA playoff and championship teams, which can be accessed here: arXiv Link . 

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Basketball Data Analytics Data Science Mathematics NBA NBA Finals NBA Playoffs Sports Statistics

The Most Optimal Strategy for the Knicks

In a previous article, I showed how one could use data in combination with advanced probability techniques to determine the optimal shot / court positions for LeBron James. I decided to use this algorithm on the Knicks’ starting 5, and obtained the following joint probability density contour plots: One sees that the Knicks offensive strategy […]

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Basketball Data Analytics Data Science Mathematics NBA NBA Finals NBA Playoffs NCAA Statistics

Analyzing Lebron James’ Offensive Play

Where is Lebron James most effective on the court? Based on 2015-2016 data, we obtained from NBA.com the following data which tracks Lebron’s FG% based on defender distance: From Basketball-Reference.com, we then obtained data of Lebron’s FG% based on his shot distance from the basket: Based on this data, we generated tens of thousands of […]

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Basketball Chicago Bulls Data Analytics Data Science Mathematics NBA NBA Finals NBA Playoffs Science Sports Statistics Toronto

Breaking Down the 2015-2016 NBA Season

In this article, I will use Data Science / Machine Learning methodologies to break down the real factors separating the playoff from non-playoff teams. In particular, I used the data from Basketball-Reference.com to associate 44 predictor variables which each team: “FG” “FGA” “FG.” “X3P” “X3PA” “X3P.” “X2P” “X2PA” “X2P.” “FT” “FTA” “FT.” “ORB” “DRB” “TRB” […]

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Basketball Chicago Bulls Data Analytics Data Science Mathematics NBA NBA Finals NBA Playoffs NCAA Sports Statistics

Optimal Positions for NBA Players

I was thinking about how one can use the NBA’s new SportVU system to figure out optimal positions for players on the court. One of the interesting things about the SportVU system is that it tracks player coordinates on the court. Presumably, it also keeps track of whether or not a player located at makes […]