Introduction

Welcome to the fmin.xyz - attempt to build intuitive systematic review of optimization theory, methods and applications.

The site contains following parts:

The site has simple built-in search 🔍. You can use it to find anything you want.

Rules of formatting and contributing could be found on the readme page on the github repo.

Principles

  • This site aims on researchers and enthusiasts with some prior expertise in the field (not just the Wikipedia clone).
  • The fundamental primitive structure of this site is the page.
  • The page should consist short self-sufficient material about the topic.
  • If the page is based on paper, bibtex label should be added at the beginning.
  • The general structure of the site is flexible and should be improved over the time iteratively.

Notations and terms

These notations will be used by default (unless otherwise specified)

  • – optimizing variable
  • -dimensional Euclidian space
  • – global optimizer of the problem
  • – norm of the vector(matrix) (if nothing specified, we often use Euclidian (Frobenius) norm)
  • – dual norm (norm in dual space) (if nothing specified, we often use Euclidian (Frobenius) norm)