### The LogBeta and LogGamma Functions Using C#

With no built-in functions for classical statistics analyses in the .NET library, Dr. James McCaffrey of Microsoft Research explains how to roll your own from scratch.

### Lightweight Mathematical Combinations Using C#

After previously discussing permutations, Dr. James McCaffrey of Microsoft Research uses step-by-step examples and full code presentations to explore combinations.

### Lightweight Mathematical Permutations Using C#

Get ready to use the BigInteger data type as Dr. James McCaffrey of Microsoft Research demonstrates zero-based mathematical permutations with C#.

### Runs Testing Using C# Simulation

Dr. James McCaffrey of Microsoft Research uses a full code program for a step-by-step explanation of this machine learning technique that indicates if patterns are random.

### Probit Regression Using C#

Dr. James McCaffrey of Microsoft Research explains the classical machine learning technique typically used for binary classification -- predicting an outcome that can only be one of two discrete values.

### Weighted k-NN Classification Using C#

Dr. James McCaffrey of Microsoft Research explains the machine learning technique, which can be used to predict a person's happiness score from their income and education, for example.

### Naive Bayes Classification Using C#

Dr. James McCaffrey of Microsoft Research presents a full step-by-step example with all code to predict a person's optimism score from their occupation, eye color and country.

### CIFAR-10 Image Classification Using PyTorch

CIFAR-10 problems analyze crude 32 x 32 color images to predict which of 10 classes the image is. Here, Dr. James McCaffrey of Microsoft Research shows how to create a PyTorch image classification system for the CIFAR-10 dataset.

### Preparing CIFAR Image Data for PyTorch

CIFAR-10 problems analyze crude 32 x 32 color images to predict which of 10 classes the image is. Here, Dr. James McCaffrey of Microsoft Research explains how to get the raw source CIFAR-10 data, convert it from binary to text and save it as a text file that can be used to train a PyTorch neural network classifier.

### Sentiment Classification of IMDB Movie Review Data Using a PyTorch LSTM Network

This demo from Dr. James McCaffrey of Microsoft Research of creating a prediction system for IMDB data using an LSTM network can be a guide to create a classification system for most types of text data.

### Preparing IMDB Movie Review Data for NLP Experiments

Dr. James McCaffrey of Microsoft Research shows how to get the raw source IMDB data, read the movie reviews into memory, parse and tokenize the reviews, create a vocabulary dictionary and convert the reviews to a numeric form.

### Convolutional Neural Networks for MNIST Data Using PyTorch

Dr. James McCaffrey of Microsoft Research details the "Hello World" of image classification: a convolutional neural network (CNN) applied to the MNIST digits dataset.

### Preparing MNIST Image Data Text Files

Dr. James McCaffrey of Microsoft Research demonstrates how to fetch and prepare MNIST data for image recognition machine learning problems.

### Quantum-Inspired Annealing Using C# or Python

Dr. James McCaffrey of Microsoft Research explains a new idea that slightly modifies standard simulated annealing by borrowing ideas from quantum mechanics.

### Chi-Square Test Using C#

A chi-square (also called chi-squared) test is a classical statistics technique that can be used to determine if observed-count data matches expected-count data.