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201 lines (170 loc) · 5.9 KB
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\documentclass[8pt,landscape, a4paper]{extarticle}
\usepackage{multicol}
\usepackage{calc}
\usepackage{xspace}
\usepackage{ifthen}
\usepackage[landscape]{geometry}
\usepackage[dvipsnames]{xcolor}
\usepackage{hyperref}
\usepackage{tikz}
\usepackage{polynom}
\usepackage{pifont}
\usepackage{amssymb}
\usepackage{setspace}
\usepackage{dsfont}
% my packages:
\usepackage{amsmath, amssymb, amsfonts, amsthm, mathtools}
\usepackage{tcolorbox}
\usepackage[utf8]{inputenc}
\usepackage{enumitem}
\usepackage{physics}
\usepackage{wrapfig}
%framed boxes
\usepackage{mdframed}
\usepackage{array}
\usepackage{tcolorbox}
\usepackage{accents}
%for images
\usepackage{graphicx}
% This sets page margins to .6cm
\geometry{top=-0.1cm,left=0.cm,right=0.cm,bottom=0.1cm}
% Turn off header and footer
\pagestyle{plain}
% Turn off page numbering
\pagenumbering{gobble}
% Redefine section commands to use less space
\makeatletter
\renewcommand{\section}{\@startsection{section}{1}{0mm}%
{-1ex plus -.5ex minus -.2ex}%
{0.5ex plus .2ex}%x
{\normalfont\large\bfseries}}
\renewcommand{\subsection}{\@startsection{subsection}{2}{0mm}%
{-1ex plus -.5ex minus -.2ex}%
{1ex plus .2ex}%
{\normalfont\small\bfseries}}
\renewcommand{\subsubsection}{\@startsection{subsubsection}{3}{0mm}%
{-1ex plus -.5ex minus -.2ex}%
{1ex plus .2ex}%
{\normalfont\small\bfseries}}
\makeatother
% Don't print section numbers
\setcounter{secnumdepth}{1}
\setlength{\parindent}{0pt}
\setlength{\parskip}{0pt plus 0.5ex}
% define box
\tikzstyle{fancytitle} =[fill=black, text=white, font=\footnotesize\bfseries]
\usepackage{color}
\definecolor{light}{rgb}{0.5, 0.5, 0.5}
\def\light#1{{\color{light}#1}}
% -----------------------------------------------------------------------
\begin{document}
\raggedright
\footnotesize
\begin{multicols*}{3}
% multicol parameters
% These lengths are set only within the two main columns
\setlength{\columnseprule}{0.25pt}
\setlength{\premulticols}{1pt}
\setlength{\postmulticols}{1pt}
\setlength{\multicolsep}{1pt}
\setlength{\columnsep}{2pt}
% main heading
\begin{center}
\Large{\textbf{Optimization for Data Science}} \\
\small{by Nils Jensen in FS23 - No guarantee of completeness}
\end{center}
\newcommand\R{\mathbb{R}}
\newcommand\E{\mathbb{E}}
\newcommand\Q{\mathbb{Q}}
\newcommand\N{\mathbb{N}}
\newcommand\C{\mathbb{C}}
\newcommand\X{\mathcal{X}}
\newcommand\Y{\mathcal{Y}}
\newcommand\D{\mathcal{D}}
\newcommand{\veca}{\mathbf{a}}
\newcommand{\bb}{\mathbf{b}}
\newcommand{\vecd}{\mathbf{d}}
\newcommand{\ee}{\mathbf{e}}
\newcommand{\vecg}{\mathbf{g}}
\newcommand{\mm}{\mathbf{m}}
\newcommand{\vecs}{\mathbf{s}}
\newcommand{\uu}{\mathbf{u}}
\newcommand{\vv}{\mathbf{v}}
\newcommand{\ww}{\mathbf{w}}
\newcommand{\xx}{\mathbf{x}}
\newcommand{\yy}{\mathbf{y}}
\newcommand{\zz}{\mathbf{z}}
\newcommand{\rr}{\mathbf{r}}
\newcommand{\ssigma}{\boldsymbol{\sigma}}
\newcommand{\xxi}{\boldsymbol{\xi}}
\newcommand{\eeta}{\boldsymbol{\eta}}
\newcommand\Max{\mathrm{Max}}
\newcommand\argmin{\mathrm{argmin}}
\newcommand\relint{\mathrm{relint}}
\newcommand\argmax{\mathrm{argmax}}
\newcommand\prox{\mathrm{prox}}
\newcommand\Var{\mathrm{Var}}
\newcommand\Cov{\mathrm{Cov}}
\newcommand\conv{\mathrm{conv}}
\newcommand\diam{\mathrm{diam}}
\newcommand\sgn{\mathrm{sgn}}
\newcommand{\dom}{\textbf{dom}}
\newcommand\Min{\mathrm{Min}}
\newcommand\Limit{\lim_{n \rightarrow \infty}}
\newcommand\Sup{\mathrm{Sup}}
\newcommand\lmo{\mathrm{LMO}}
\newcommand\Inf{\mathrm{Inf}}
\newcommand\Def{\textbf{Def.}\hspace{3mm}}
\newcommand\Bsp{\textit{Bsp.}\hspace{2mm}}
\newcommand\Satz{\textbf{{Satz.}}\hspace{3mm}}
\newcommand\Kor{\textbf{Kor.}\hspace{3mm}}
\newcommand\Bem{\textbf{Bem.}\hspace{3mm}}
\newcommand\converges[2]{\underset{#1\rightarrow #2}{\longrightarrow}}
\newcommand{\BigO}{\mathcal{O}}
\newcommand\Sum{\sum\limits}
\newcommand\Lim{\lim\limits}
\newcommand\Int{\int\limits}
\newcommand\Reihe{\sum_{k = 1}^{\infty}}
\newcommand\Ib{\overline{I}}
\newcommand*\diff{\mathop{}\!\mathrm{d}}
\newcommand\Title[1]{\vspace{.1mm}\begin{tikzpicture} \node[fancytitle, right=10pt, fill=gray] {#1}; \end{tikzpicture}}
\everymath{\color{PineGreen}}
\newcommand{\ubar}[1]{\underaccent{\bar}{#1}}
%\renewcommand{\(}{\relax\ifmmode\@badmath\else\color{blue}$\fi}
%\renewcommand{\)}{\relax\ifmmode\ifinner$\color{black}\else\@badmath\fi\else \@badmath\fi }
%\catcode`\$=13
%\def${\ifmmode)\xspace\else(\fi}
%\makeatother
\scriptsize
\newenvironment{framed}
{\begin{tcolorbox}[colback=orange!10!white,
colframe=black,
boxrule=0.5pt,
enlarge top by=0cm,
enlarge bottom by=0cm,
boxsep=-2mm]}
{\end{tcolorbox}}
% _____ BEGINNING OF DOCUMENT __________________________________________________
\input{ODS/chapters/01_Introduction}
\input{ODS/chapters/02_Theory_of_Convex_Functions}
\input{ODS/chapters/03_Gradient_Descent}
\input{ODS/chapters/04_Projected_Gradient_Descent}
\input{ODS/chapters/05_Coordinate_Descent}
\input{ODS/chapters/06_Nonconvex_Functions}
\input{ODS/chapters/07_Frank_Wolfe_Algorithm}
\input{ODS/chapters/08_Newtons_Method}
\input{ODS/chapters/09_Quasi_Newton_Methods}
\input{ODS/chapters/10_Subgradient_Method}
\input{ODS/chapters/11_Mirror_Descent_Smoothing_Proximal_Algorithms}
\input{ODS/chapters/12_Stochastic_Optimization}
\input{ODS/chapters/13_Finite_Sum_Optimization}
\input{ODS/chapters/14_Min_Max_Optimization}
%TO-DO: formel für normalverteilung, map estimet,
% ____ FOOTER __________________________________________________________________
% Template:
%Julia Bogdan (jbogdan@student.ethz.ch), 2022
%
% Content:
% based on Lecture Introduction to Machine Learning in FS22 @ETH Zürich
\end{multicols*}
\end{document}