Stochastic Optimization problems in general deals with random variables in the 'loss function'. Incase of a Deterministic optimization problem with basic objective $\parallel Ax-b \parallel_2^2$, we ...
(This question has been asked on math.se, with no response.) I am studying Paz's "Introduction to Probabilistic Automata" and there is an exercise I cannot solve: Ex. 11, p. 170: Let $\Sigma = ...
Fix a prefix-free universal Turing machine $U$. Consider the following random process*. The state of the process is a bit-string $s$, initialized with the empty string (say). Suppose the value of the ...
The Equation1 in paper in link explains how to assign probability to a production rule. Fig1 explains with an example. Now, I have a problem in understanding how to work with this formula since it ...
given a discrete distribution of hitting time probabilities, is it possible to generate a random walk that generates this hitting time distribution? More specifically I am interested in generating a ...
Consider the following process: There are $n$ bins arranged from top to bottom. Initially, each bin contains one ball. In every step, we pick a ball $b$ uniformly at random and move all ...