Definition of $L^0$ space - Mathematics Stack Exchange Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
inequality - Zero norm properties - Mathematics Stack Exchange I have seen the claim that the l0-norm ($\|X\|_0$ = support(X)) is a pseudo-norm because it does not satisfy all properties of a norm I thought it to be triangle inequality, but am not able to show it by example Can anyone give an example to show that the l0-norm does not satisfy the triangle inequality? Thanks
Where does the definition of the $L_0$ norm come from? Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
functional analysis - Space of $L^0$ finite random variables . . . Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
why is $\ell_0$ a pseudo-norm? - Mathematics Stack Exchange Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
numerical methods - Convex optimization with $\ell_0$ norm . . . You should have a look at a nice package called Smoothed $ {L}_{0} $ (Smoothed L0 Smoothed L Zero) They approximate the $ {L}_{0} $ "Pseudo Norm" (Which isn't convex) by a Gaussian Kernel The idea is iterating on the parameter defining the kernel (Warm Start) It seems to work nicely and fit your problem
real analysis - On the space $L^0$ and $\lim_{p \to 0} \|f\|_p . . . Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
the relation between cardinality, L1-norm and L2-norm of a vector Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers