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Welcome to the fmin.xyz - an attempt to build an intuitive systematic review of optimization theory, methods, and applications.
The site contains the following parts:
- {% include link.html title="Theory"%}
- {% include link.html title="Methods"%}
- {% include link.html title="Exercises"%}
- {% include link.html title="Applications"%}
- {% include link.html title="Materials"%}
The site has a 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.
- This site is aimed at 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 consists of 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.
These notations will be used by default (unless otherwise specified)
-
$$\theta$$ -- optimizing variable -
$$\mathbb{R}^p$$ --$$p$$ -dimensional Euclidian space -
$$\theta^*$$ -- global optimizer of the problem -
$$| \cdot |$$ -- norm of the vector(matrix) (if nothing specified, we often use Euclidian (Frobenius) norm) -
$$| \cdot |_*$$ -- dual norm (norm in dual space) (if nothing specified, we often use Euclidian (Frobenius) norm)