Recent content by mohitp

Hi, Isn't f(x) convex if : f( a*x1 + (1-a) * x2 ) <= a * f(x1) + (1-a) * f(x2) this would imply graph must be below line connecting two points for function to be convex.

Could anyone comment on the convexity of f(x,y) = (x^2) * exp(y) ... i.e. x square into e to the power y. I did try to find Hessian of the same and the value I get is : Hessian(x,y) = -2 * x^2 * exp(2y)... which looks <= 0 for all x and y. I assume this should imply f(x,y) is...