"Mr Granville, there are few "simplifications" in your post that deserve clarification - even more if you aim to reach a wide audience, only with high school level education.
First, there is an importan caveat in the CTL: it only applies…"
"Please note that "The density curve for the actual data is shaded in ‘pink’" must be read with a bit of salt. There is no density curve for actual data; you have density approximations using a number for nonparametric…"
"If the weights in a NN stabilise/converge, they are a fixed point of the learning & recurrence equations.
The Markov comment is just a hunch: what you are saying reminded me of autoregressive models and their characteristic equation.…"
"Interesting read, an argument worth taking to the formal level (if not done already)
> For this post, I used a sequence of length 5, so the Markov chain is picking a next state based on the previous five states.
I bet you are uncovering a 5…"
"Sione, the news you mention about gravitational waves is quite pertinent.
If one reaches the news in a specialised source (Physics Letters if I recall), you will find that the researchers applied the model I mentioned below (from Terry Speed's…"
"> All right Carlos, I agree. We simply have different perspectives
Meaning "I agree but I don't" ?
> For you, mathematics axioms that are true by themselve are all.
Sad you put in my mouth things I have never…"
"Carlos, mathematics has been enriched over 2000 years by looking at data from real problems. Topology is just an abstraction that has been proved useful. Is it possible to find new concepts in topology (or statistics or maths) by looking at…"
"a^(1/r) is not the inverse of a^r in the complex plane. Therefore, you cannot apply power laws to sqrt(_) as it embodies the choice of a particular branch of a^(1/2) in the complex plane, namely the one for which (-1)^(1/2) = (0,1) = i [the other…"
"Sione, wavelet theory was sourced by the work of physicist, engineers and mathematicians - mainly those working on PDE and approximation theory. Being within the realm of mathematics, statisticians naturally pick them up :)
The intro on this book…"
"unaware of any statistical science contribution to data science" -> Tongue in cheek, right :) ?
I do acknowledge that data abundance and (more importantly) the universal availability of computers have posed a tremendous…"