3 papers
cs.LG2014
'Almost Sure' Chaotic Properties of Machine Learning Methods
Nabarun Mondal, Partha P. Ghosh
It has been demonstrated earlier that universal computation is 'almost surely' chaotic. Machine learning is a form of computational fixed point iteration, iterating over the comput…
nlin.CD2012
A General Class of Collatz Sequence and Ruin Problem
Nabarun Mondal, Partha P. Ghosh
In this paper we show the probabilistic convergence of the original Collatz (3n + 1) (or Hotpo) sequence to unity. A generalized form of the Collatz sequence (GCS) is proposed subs…
cs.DM2012
A Pseudo Random Number Generator from Chaos
Nabarun Mondal, Partha P. Ghosh
A random number generator is proposed based on a theorem about existence of chaos in fixed point iteration of x= cot2(x). Digital computer simulation of this function iteration exh…