I would like to spend time exploring topics that will define the next century of humanity. I try to post my explorations of such topics here.
I derive the Bellman Equation and show that if a solution to the equation exists, then it must be unique.
I use a Markov Decision Process to model a theme that is prevalent in life in order to answer some interesting questions. My definition of life is somewhat equivalent to the philosophical concept behind yin and yang.
I provide proofs of why one Nash equilibrium in Selten’s Example is not a trembling-hand perfect equilibrium and why another is.
The upper Riemann integral is greater or less than the lower Riemann integral.
I describe an algorithm to determine the number of iterations hyperparameter of neural networks.
There is a network that overfits the XOR function and other types of data.
If batch gradient descent is used to find the weights of a neural network modeling the XOR function, a local minimum may be obtained instead of the exact solution.