I see several textbooks or blogs write that "trust region is dual method to line search", I can't agree with it. I think trust region is a superior method to line search because it's a quadratic approximation to the original function rather than a linear approximation, besides, it defines a region which parameters can't jump out of. Linear search actually has implicitly defined a region for step dt such that f(x+dt)>=0. If min{f(x)} < 0, we should define a trust region for linear search. Am I right or I have ignored something?
@cucumcumber2 жыл бұрын
I guess the dual space of l1 in line search is l_infinity in trust region.
@MiiiiiiTube3 жыл бұрын
really nice, thank you so much! :D
@AJ-et3vf2 жыл бұрын
great video sir! thank you!
@mahsatech11 ай бұрын
man that was great
@cyberpunk_edgerunners2 жыл бұрын
thank you ,sir
@НиколайНовичков-е1э2 жыл бұрын
Thank you!
@alimaster52926 жыл бұрын
how to answer this question What is the main motivation behind Trust region methods? What could be a signal to enlarge the Trust region in the next step? What is the Cauchy point?
@金飘飘-o2o5 жыл бұрын
Do u have idea now?
@jfigueroa7894 жыл бұрын
You can find all the information in the Nocedal’s book “Numerical Optimization”.