# UTARRF 2021 Proximal spectral gradient method with l0-norm in portfolio optimization

# Rebuttal

## Title

Comment: L0 norm should be specified in the title since it is very much emphasised in the proposal.
Reply: Proximal spectral gradient method with l0-norm in portfolio optimization

## Objective

Comment 1: The mentioned efficient algorithm in the objectives. Which algorithm are you referring to? Is it the method you mentioned in the objective?
> reply: Objective 2

Comment 2: Objective 2 and 3 are the same I believe, especially when it comes to measurement stage later.
> reply: Objective 3

## Literature review

Comment: To elaborate the usefulness of L0.

## Methodology

Comment: The methodology is too brief. An overall picture of how the proposed modified method/algorithm will work is not clear.
> reply:

Comment: How the gradient method will be modified and incorporated into the proposed proximal method is also not clear.

## General Comments

The problem of using the other norms such as L1 in the research of portfolio optimization is mentioned in the proposal. Thus, the researchers propose to use L0. However, the idea of how L0 can solve the problem is not well-mentioned.

The components mentioned in the proposal like proximal spectral gradient method, L0 norm, gradient method, etc. are not well-linked to give a clear overall picture of how the proposed modified method/algorithm will work. The same problem is also seen in the literature review and research methodology.