The famous Perona-Malik (P-M) equation which was at first introduced for
image restoration has been solved via various numerical methods. In this paper
we will solve it for the first time via applying a new numerical method called
the Variational Iteration Method (VIM) and the correspondent approximated
solutions will be obtained for the P-M equation with regards to relevant error
analysis. Through implementation of our algorithm we will access some effective
results which are deserved to be considered as worthy as the other solutions
issued by the other methods.
Music Sight Reading is a complex process that when it is occurred in the
brain, some learning attributes would be emerged. Besides giving a model based
on actor-critic method in the Reinforcement Learning, the agent is considered
to have a neural network structure. We studied on where the sight reading
process is happened and also a serious problem which is how the synaptic
weights would be adjusted through the learning process. The model we offer here
is a computational model on which an updated weights equation to fixing the
weights is accompanied too.
Although the Music Sight Reading process usually has been studied from the
cognitive or neurological view points, but the computational learning methods
like the Reinforcement Learning have not yet been used to modeling of such
processes. In this paper with regards to essential properties of our specific
problem, we consider the value function concept and will indicate that the
optimum policy can be obtained by the method we offer without to be getting
involved with computing of the complex value functions which are in most of
cases inexact.