Markov Chain Monte Carlo (MCMC) methods can be used to estimate the parameters of linear regression models. In this post, the distributional forms and algorithms associated with two Gibbs sampling approaches are outlined: the full conditionals a...

I always had trouble spelling Dijkstra correctly until someone pointed out “It’s just D, followed by i-j-k, then stra”. Once it was pointed out that i-j-k is represented sequentially in alphabetical order, spelling Dijkstra becomes trival - almo...

Convolutional Neural networks (CNNs) have been found to be very effective at tasks such as facial recognition, video analysis, anomaly detections and semantic parsing. An image can be considered a graph with a very regular structure (i.e., pixel...

Convolutional Neural networks (CNNs) have been found to be very effective at tasks such as facial recognition, video analysis, anomaly detections and semantic parsing. An image can be considered a graph with a very regular structure (i.e., pixels...

Markov Chain Monte Carlo (MCMC) methods can be used to estimate the parameters of linear regression models. In this post, the distributional forms and algorithms associated with two Gibbs sampling approaches are outlined: the full conditionals ap...

I always had trouble spelling Dijkstra correctly until someone pointed out “It’s just D, followed by i-j-k, then stra”. Once it was pointed out that i-j-k is represented sequentially in alphabetical order, spelling Dijkstra becomes trival - almo...

Convolutional Neural networks (CNNs) have been found to be very effective at tasks such as facial recognition, video analysis, anomaly detections and semantic parsing. An image can be considered a graph with a very regular structure (i.e., pixel...

Bessel’s correction is the use of instead of in the sample variance formula where is the number of observations in a sample. This method corrects the bias in the estimation of the population variance. Recall that bias is defined as: where r...

Bessel’s correction is the use of instead of in the sample variance formula where is the number of observations in a sample. This method corrects the bias in the estimation of the population variance. Recall that bias is defined as: where r...

This post is intended to shed light on why the closed form solution to linear regression estimates is avoided in statistical software packages. But we start by first by deriving the solution to the normal equations within the standard multivariat...