Single neuron still has a lot to say
In the post of the first neural network tutorial, we studied a perceptron as a simple supervised learning machine. The perceptron is an amazing structure to understanding inference.
In the post of the first neural network tutorial, I said I would leave you to find the objective function and and draw the plot of it. I just introduce here.

Efficient Monte Carlo sampling
This post is on the extension of the post about Hamiltonian Monte Carlo method. Therefore, I assume the readers already read the post. Overrelaxation also reduces the random property of the Monte Carlo sampling, and speeds up the convergence of the Markov chain.
Gibbs sampling
In advance of studying over relaxation, we study Gibbs sampling. In the general case of a system with K variables, a single iteration involves sampling one parameter at a time.

Single neuron is amazing
One of the lessons I had during physics program is that we should start to understand small thing deeply however complicated the system which you want to know is. Not just it is easier but also it helps a lot to understand the more complex ones.
Neural network is often compared to black magic. We do not understand why and how exactly so effective it is, but it makes great estimations in some specific matters.