Machine Learning, Data Science, AI, Python, Mathematics.
convexity of J(w), let’s revise the conditions for convexity - If Xᴴ is the Hessian Matrix of f(x) then - f(x) is strictly convex in 𝑆 if Xᴴ is a Positive Definite Matrix. f(x) is convex in 𝑆 if Xᴴ is a Positive Semi-Definite Matrix. f(x) is strictly concave in 𝑆 if Xᴴ is a Negative Definite