From 4b4b30ceb064849007adbed360413b963ff9fe37 Mon Sep 17 00:00:00 2001 From: daniel Date: Mon, 11 Dec 2023 13:35:26 +0100 Subject: [PATCH] add: LaTeX images/* and plots/* with aggregated sim data --- .gitignore | 17 ++-- LaTeX/images/TorustangentSpace.tex | 125 ++++++++++++++++++++++++++++ LaTeX/images/embeddImage.tex | 118 ++++++++++++++++++++++++++ LaTeX/images/reduction.tex | 36 ++++++++ LaTeX/images/sim-normal.tex | 91 ++++++++++++++++++++ LaTeX/plots/aggr-1a-normal.csv | 6 ++ LaTeX/plots/aggr-1b-normal.csv | 6 ++ LaTeX/plots/aggr-1c-normal.csv | 6 ++ LaTeX/plots/aggr-1d-normal.csv | 6 ++ LaTeX/plots/aggr-1e-normal.csv | 6 ++ LaTeX/plots/aggr-2a-ising.csv | 6 ++ LaTeX/plots/aggr-2b-ising.csv | 6 ++ LaTeX/plots/aggr-2c-ising.csv | 6 ++ LaTeX/plots/aggr-2d-ising.csv | 6 ++ LaTeX/plots/aggr-ising-perft-m2.csv | 36 ++++++++ LaTeX/plots/aggr-tsir.csv | 55 ++++++++++++ LaTeX/plots/sim-ising-perft-m2.tex | 95 +++++++++++++++++++++ LaTeX/plots/sim-tsir.tex | 114 +++++++++++++++++++++++++ 18 files changed, 733 insertions(+), 8 deletions(-) create mode 100644 LaTeX/images/TorustangentSpace.tex create mode 100644 LaTeX/images/embeddImage.tex create mode 100644 LaTeX/images/reduction.tex create mode 100644 LaTeX/images/sim-normal.tex create mode 100644 LaTeX/plots/aggr-1a-normal.csv create mode 100644 LaTeX/plots/aggr-1b-normal.csv create mode 100644 LaTeX/plots/aggr-1c-normal.csv create mode 100644 LaTeX/plots/aggr-1d-normal.csv create mode 100644 LaTeX/plots/aggr-1e-normal.csv create mode 100644 LaTeX/plots/aggr-2a-ising.csv create mode 100644 LaTeX/plots/aggr-2b-ising.csv create mode 100644 LaTeX/plots/aggr-2c-ising.csv create mode 100644 LaTeX/plots/aggr-2d-ising.csv create mode 100644 LaTeX/plots/aggr-ising-perft-m2.csv create mode 100644 LaTeX/plots/aggr-tsir.csv create mode 100644 LaTeX/plots/sim-ising-perft-m2.tex create mode 100644 LaTeX/plots/sim-tsir.tex diff --git a/.gitignore b/.gitignore index 542b420..45c6747 100644 --- a/.gitignore +++ b/.gitignore @@ -108,20 +108,21 @@ simulations/ !**/LaTeX/*.bib **/LaTeX/*-blx.bib -# Include subfolders for images and plots -!**/LaTeX/plots/ -**/LaTeX/plots/* -!**/LaTeX/plots/*.tex -!**/LaTeX/images/ -**/LaTeX/images/* -!**/LaTeX/images/*.tex - mlda_analysis/ References/ dataAnalysis/ *.csv *.csv.log +# Include subfolders for images and plots +!**/LaTeX/plots/ +**/LaTeX/plots/* +!**/LaTeX/plots/*.tex +!**/LaTeX/plots/*.csv +!**/LaTeX/images/ +**/LaTeX/images/* +!**/LaTeX/images/*.tex + # Images (except images used in LaTeX) *.png *.svg diff --git a/LaTeX/images/TorustangentSpace.tex b/LaTeX/images/TorustangentSpace.tex new file mode 100644 index 0000000..57e4a91 --- /dev/null +++ b/LaTeX/images/TorustangentSpace.tex @@ -0,0 +1,125 @@ +\documentclass{standalone} + +\usepackage{pgfplots} % TikZ (TeX ist kein Zeichenprogramm) +\usetikzlibrary{calc} % for vector arithmetics + +\usepackage{amssymb, bm} + +\renewcommand{\t}[1]{{#1}^{T}} +\newcommand{\mat}[1]{\boldsymbol{#1}} +\newcommand{\manifold}[1]{\mathfrak{#1}} + +% PGF-Plot / TikZ config +\usetikzlibrary{% + calc, through, intersections, patterns, patterns.meta, pgfplots.colormaps +} +\pgfplotsset{ + compat = newest, + colormap = {grayscale}{color=(lightgray) color=(white) color=(lightgray)}, + colormap = {blackscale}{color=(black!70) color=(black!50) color=(black!70)}, + colormap = {redscale}{color=(black!70!red) color=(black!50!red) color=(black!70!red)}, + colormap = {bluescale}{color=(black!70!blue) color=(black!50!blue) color=(black!70!blue)}, +} + +\begin{document} +\begin{tikzpicture}[ + >=latex, + scale = 1, + declare function = { % Note: NO spaces in function argument list! + X(\u,\v) = (2 + cos(\u)) * cos(\v); + Y(\u,\v) = (2 + cos(\u)) * sin(\v); + Z(\u,\v) = sin(\u); + tx(\u,\v,\x,\y) = - sin(\u) * cos(\u) * \x - (2 + cos(\u)) * sin(\v) * \y; + ty(\u,\v,\x,\y) = - sin(\u) * cos(\u) * \x + (2 + cos(\u)) * cos(\v) * \y; + tz(\u,\v,\x,\y) = + cos(\u) * \x; + } +] + \begin{axis}[ + axis equal image, + hide axis, + view = {120}{30}, + scale = 2 + ] + \addplot3[ + surf, + shader = faceted interp, + samples = 20, + samples y = 40, + domain = 0:360, + domain y = 0:360, + z buffer = sort, + colormap name = grayscale, + thin + ] + ({X(\x, \y)}, {Y(\x, \y)}, {Z(\x, \y)}); + + % at = (1.433013, 2.482051, 0.5) // \u, \v = (30, 60) + % into = (-0.4330127, -0.4330127, 0.8660254) + % and = (-2.482051, 1.433013, 0) + + % X <- c(1.433013, 2.482051, 0.5) + % dx <- c(-0.4330127, -0.4330127, 0.8660254) + % dy <- c(-2.482051, 1.433013, 0) + + \addplot3[ + mesh, + shader = interp, + patch type = line, + variable = t, + domain = -44:210.5, + samples = 64, + samples y = 1, + colormap name = redscale + ] + ({X(\t, \t + 30)}, {Y(\t, \t + 30)}, {Z(\t, \t + 30)}); + + \addplot3[ + mesh, + shader = interp, + patch type = line, + variable = t, + domain = -50:119, + samples = 64, + samples y = 1, + colormap name = bluescale + ] + ({X(\t, -0.3 * \t + 69)}, {Y(\t, -0.3 * \t + 69)}, {Z(\t, -0.3 * \t + 69)}); + + \coordinate (x) at ({X(30, 60)}, {Y(30, 60)}, {Z(30, 60)}); + + \draw[dashed, fill = gray, opacity = 0.4] ( + {X(30, 60) + tx(30, 60, 0.4 + 0.8, 0.4 - 0.24)}, + {Y(30, 60) + ty(30, 60, 0.4 + 0.8, 0.4 - 0.24)}, + {Z(30, 60) + tz(30, 60, 0.4 + 0.8, 0.4 - 0.24)} + ) -- ( + {X(30, 60) + tx(30, 60, -0.4 + 0.8, -0.4 - 0.24)}, + {Y(30, 60) + ty(30, 60, -0.4 + 0.8, -0.4 - 0.24)}, + {Z(30, 60) + tz(30, 60, -0.4 + 0.8, -0.4 - 0.24)} + ) node[anchor = west, opacity = 1, outer sep=0.5em] {$T_{\mat{x}}\manifold{A}$} -- ( + {X(30, 60) + tx(30, 60, -0.4 - 0.8, -0.4 + 0.24)}, + {Y(30, 60) + ty(30, 60, -0.4 - 0.8, -0.4 + 0.24)}, + {Z(30, 60) + tz(30, 60, -0.4 - 0.8, -0.4 + 0.24)} + ) -- ( + {X(30, 60) + tx(30, 60, 0.4 - 0.8, 0.4 + 0.24)}, + {Y(30, 60) + ty(30, 60, 0.4 - 0.8, 0.4 + 0.24)}, + {Z(30, 60) + tz(30, 60, 0.4 - 0.8, 0.4 + 0.24)} + ) -- cycle; + + \draw[->, black!50!red] (x) -- ( + {X(30, 60) + tx(30, 60, 0.4, 0.4)}, + {Y(30, 60) + ty(30, 60, 0.4, 0.4)}, + {Z(30, 60) + tz(30, 60, 0.4, 0.4)} + ) node[pos = 0.7, anchor = north west, inner sep = 0pt] {$\t{\nabla\gamma_1(0)}$}; + + \draw[->, black!50!blue] (x) -- ( + {X(30, 60) + tx(30, 60, 0.8, -0.24)}, % -0.24 = 0.8 * -0.3 + {Y(30, 60) + ty(30, 60, 0.8, -0.24)}, + {Z(30, 60) + tz(30, 60, 0.8, -0.24)} + ) node[pos = 0.7, anchor = south west, inner sep = 0pt] {$\t{\nabla\gamma_2(0)}$}; + + \node[anchor = north] at (x) {$\mat{x}$}; + \node[circle, inner sep={1pt}, outer sep={0pt}, fill=black] at (x) {}; + + \end{axis} +\end{tikzpicture} +\end{document} diff --git a/LaTeX/images/embeddImage.tex b/LaTeX/images/embeddImage.tex new file mode 100644 index 0000000..6ef33ae --- /dev/null +++ b/LaTeX/images/embeddImage.tex @@ -0,0 +1,118 @@ +\documentclass{standalone} + +\usepackage{pgfplots} % TikZ (TeX ist kein Zeichenprogramm) +\usetikzlibrary{calc, perspective, pgfplots.colormaps} % PGF-Plot / TikZ config + +\pgfplotsset{ + compat = newest, + colormap = {grayscale}{color=(lightgray) color=(white) color=(lightgray)}, + colormap = {blackscale}{color=(black!70) color=(black!50) color=(black!70)}, +} + +% Define the (component) embedding into the torus +\tikzset{declare function = { % Note: NO spaces in function argument list! + Z(\u,\v) = 0.4 * \u * \u * cos(\v * 120); + bx(\t) = -0.5 + 0.3 * cos(\t) + 0.05 * sin(3 * \t); + by(\t) = 0.2 + 0.3 * sin(\t); +}} + +% Further packages and macros +\usepackage{amssymb, bm} + +\renewcommand{\t}[1]{{#1}^{T}} +\newcommand{\mat}[1]{\boldsymbol{#1}} +\newcommand{\manifold}[1]{\mathfrak{#1}} + + + +\begin{document} +\begin{tikzpicture}[>=latex] + + \begin{axis}[ + axis equal image, + hide axis, + view = {120}{30}, + scale = 1, + clip = false + ] + \coordinate (O) at (0, 0, 0); + + \draw[->] (-0.1, 0, 0) -- (0.6, 0, 0) node[pos = 1.1] {}; + \draw[->] (0, -0.1, 0) -- (0, 1.2, 0) node[pos = 1.1] {}; + \draw[->] (0, 0, -0.1) -- (0, 0, 1.0) node[pos = 1.1] {}; + + \addplot3[ + surf, + shader = faceted interp, + samples = 16, + samples y = 16, + domain = -1:0.4, + domain y = -0.5:1, + z buffer = sort, + colormap name = grayscale, + thin + ] + ({\x}, {\y}, {Z(\x, \y)}); + + \addplot3[ + samples = 64, + samples y = 0, + domain = 0:360, + color = black!40!gray, + fill = black, + fill opacity = 0.1, + colormap name = blackscale, + thick + ] + ({bx(\x)}, {by(\x)}, {Z(bx(\x), by(\x))}); + + \coordinate (coordU) at ({bx(150)}, {by(150)}, {Z(bx(150), by(150))}); + + \node[anchor = south west] (U) at (coordU) {$U$}; + + \node[ + circle, fill=black, inner sep=0.75pt, label={$\mat{\theta}_0$} + ] (theta0) at (-0.5, 0.2, {Z(-0.5, 0.2)}) {}; + + \node at (0, 0.5, 1.2) {$\Theta\subseteq\mathbb{R}^p$}; + + \node (UU) at ({bx(0)}, {by(0)}, {Z(bx(0), by(0))}) {}; + + \end{axis} + + \begin{scope}[shift = {(11cm, 2cm)}, scale = 2.5] + + \coordinate (O) at (-1.1, -0.3); + + \draw[step=0.1, lightgray!80, thin] (O) grid +(1.2, 1.2); + + \draw[->] ($(O) - (0.05, 0)$) -- +(1.4, 0) node[pos=1.1] {}; + \draw[->] ($(O) - (0, 0.05)$) -- +(0, 1.4) node[pos=1.1] {}; + + \draw[domain=0:360, smooth, variable=\x, fill=black, fill opacity = 0.1, thick] plot ({bx(\x)}, {by(\x)}); + + \node[ + circle, fill=black, inner sep=0.75pt, label={$\mat{s}_0$} + ] (s0) at (-0.5, 0.2) {}; + + \coordinate (coordPhiU) at ({bx(90)}, {by(90)}); + + \node[anchor = south east, outer sep = 0pt] (phiU) at (coordPhiU) {$\varphi(U)$}; + + \node at (-0.5, 1.28) {$\varphi(U)\subseteq\mathbb{R}^d$}; + + \node (phiUU) at ({bx(270)}, {by(270)}) {}; + + \end{scope} + + + \draw[->, out = 20, in = 160] (U.north east) to node[above, pos = 0.5] {$\varphi$} (phiU.north west); + \draw[->, out = 200, in = 340] (phiU.south west) to node[above, pos = 0.5] {$\varphi^{-1}$} (U.south east); + + \node (R) at (6.1, 0) {$\mathbb{R}$}; + + \draw[->, out = 270, in = 180] (UU) to node[below left, pos = 0.6] {$M$} (R); + \draw[->, out = 270, in = 0] (phiUU) to node[below right, pos = 0.4] {$M_{\varphi}$} (R); + +\end{tikzpicture} +\end{document} diff --git a/LaTeX/images/reduction.tex b/LaTeX/images/reduction.tex new file mode 100644 index 0000000..292f52a --- /dev/null +++ b/LaTeX/images/reduction.tex @@ -0,0 +1,36 @@ +\begin{tikzpicture}[scale = \tikzscale], line width = 1pt] + + \def\rect#1#2#3{ + \draw (0, 0, 0) -- (#1, 0, 0) -- (#1, #2, 0) -- (0, #2, 0) -- cycle; + + \draw[ ] (#1, 0, -#3) -- (#1, #2, -#3) -- (0, #2, -#3); + \draw[dashed] (#1, 0, -#3) -- (0, 0, -#3) -- (0, #2, -#3); + + \draw[dashed] (0, 0, 0) -- (0, 0, -#3); + \draw[ ] (0, #2, 0) -- (0, #2, -#3); + \draw[ ] (#1, 0, 0) -- (#1, 0, -#3); + \draw[ ] (#1, #2, 0) -- (#1, #2, -#3); + } + + \begin{scope}[yshift = 1cm, line width = 1pt] + \rect{1.5}{1}{2} + \node[font = \boldmath] at (1, 0.5) {$\ten{R}(\ten{X})$}; + \end{scope} + \rect{3}{2}{4} + \node at (2, 0.5) {$\ten{X} - \E\ten{X}$}; + + \draw[lightgray, line width = 0.7pt] (-2.1, 2) arc (180:270:2); + \draw[fill = lightgray, fill opacity = 0.7] (-2.1, 1) rectangle +(2, 1) + node [pos = 0.5] {$\t{\mat{\beta}_1}$}; + + \draw[lightgray, line width = 0.7pt, domain = 0:1, smooth, variable = \t] + plot ({0}, {2.1 + 4 * cos(90 * \t)}, {-4 * sin(90 * \t)}); + \draw[fill = lightgray, fill opacity = 0.7] + (0, 2.1, 0) -- (0, 2.1, -2) -- (0, 6.1, -2) -- (0, 6.1, 0) -- cycle; + \node[opacity = 0.7, cm={0.66, 0.66, 0, 1, (0, 0)}] + at (0, 4.1, -1.1) {$\t{\mat{\beta}_3}$}; + + \draw[lightgray, line width = 0.7pt] (0, 5.1) arc (90:0:3); + \draw[fill = lightgray, fill opacity = 0.7] (0, 2.1) rectangle +(1.5, 3) + node [pos = 0.5] {$\t{\mat{\beta}_2}$}; +\end{tikzpicture} diff --git a/LaTeX/images/sim-normal.tex b/LaTeX/images/sim-normal.tex new file mode 100644 index 0000000..5711b03 --- /dev/null +++ b/LaTeX/images/sim-normal.tex @@ -0,0 +1,91 @@ +\begin{tikzpicture}[x = 4pt, y = 1.3pt, scale = \tikzscale] + +\path[use as bounding box] (12, 10) rectangle (181, 290); + +\begin{scope}[inner sep = 0pt, outer sep = 0pt, line width = 0.4pt] + \draw ( 44.64, 73.03) -- (132.42, 73.03); + \draw ( 44.64, 73.03) -- ( 44.64, 68.05); + \draw ( 59.27, 73.03) -- ( 59.27, 68.05); + \draw ( 73.90, 73.03) -- ( 73.90, 68.05); + \draw ( 88.53, 73.03) -- ( 88.53, 68.05); + \draw (103.16, 73.03) -- (103.16, 68.05); + \draw (117.79, 73.03) -- (117.79, 68.05); + \draw (132.42, 73.03) -- (132.42, 68.05); + + \node[anchor=base, scale = 0.83] at ( 44.64, 50) {100}; + \node[anchor=base, scale = 0.83] at ( 73.90, 50) {300}; + \node[anchor=base, scale = 0.83] at (103.16, 50) {500}; + \node[anchor=base, scale = 0.83] at (132.42, 50) {700}; + + \draw (40.84, 79.52) -- (40.84, 241.75); + \draw (40.84, 79.52) -- (35.86, 79.52); + \draw (40.84, 111.97) -- (35.86, 111.97); + \draw (40.84, 144.42) -- (35.86, 144.42); + \draw (40.84, 176.86) -- (35.86, 176.86); + \draw (40.84, 209.31) -- (35.86, 209.31); + \draw (40.84, 241.75) -- (35.86, 241.75); + + \node[anchor=west, scale = 0.83] at (26, 79.52) {0}; + \node[anchor=west, scale = 0.83] at (26, 111.97) {0.2}; + \node[anchor=west, scale = 0.83] at (26, 144.42) {0.4}; + \node[anchor=west, scale = 0.83] at (26, 176.86) {0.6}; + \node[anchor=west, scale = 0.83] at (26, 209.31) {0.8}; + \node[anchor=west, scale = 0.83] at (26, 241.75) {1}; +\end{scope} + +\begin{scope}[inner sep = 0pt, outer sep = 0pt] + \node[anchor = base, scale = 1.00] at (92.19, 265.23) {{\bfseries Subspace Distance}}; + \node[anchor = base, scale = 0.83] at (92.19, 20) {Sample Size}; + \node[rotate = 90.00, anchor = base, scale = 0.83] at (20, 160.64) {$d(\mat{B}_0, \widehat{\mat{B}})$}; +\end{scope} + +\begin{scope}[xscale = 0.5, xshift = 800pt, yshift = 330pt] + \begin{scope} + \definecolor{drawColor}{RGB}{42,98,182} + \path[draw=drawColor,line width= 0.7pt,line join=round,line cap=round] ( 89.72, 14) -- (104.66, 14); + \node[text=black,anchor=base west,inner sep=0pt, outer sep=0pt, scale= 0.83] at (112.13, 8.26) {HOPCA}; + \end{scope} + + \begin{scope}[yshift = -3em] + \definecolor{drawColor}{RGB}{147,19,185} + \path[draw=drawColor,line width= 0.7pt,line join=round,line cap=round] ( 89.72, 14) -- (104.66, 14); + \node[text=black,anchor=base west,inner sep=0pt, outer sep=0pt, scale= 0.83] at (112.13, 8.26) {TSIR}; + \end{scope} + + \begin{scope}[yshift = -6em] + \definecolor{drawColor}{RGB}{36,116,7} + \path[draw=drawColor,line width= 0.7pt,line join=round,line cap=round] ( 89.72, 14) -- (104.66, 14); + \node[text=black,anchor=base west,inner sep=0pt, outer sep=0pt, scale= 0.83] at (112.13, 8.26) {\bf GMLM}; + \end{scope} +\end{scope} + + +\begin{scope} + +\definecolor{drawColor}{RGB}{36,116,7} + +\path[draw=drawColor,line width= 0.7pt,line join=round,line cap=round] ( 44.64,119.77) -- ( 59.27,107.60) -- ( 73.90,103.65) -- (103.16, 97.80) -- (139.74, 95.44); +\definecolor{drawColor}{RGB}{42,98,182} + +\path[draw=drawColor,line width= 0.7pt,line join=round,line cap=round] ( 44.64,229.99) -- ( 59.27,229.84) -- ( 73.90,229.81) -- (103.16,229.85) -- (139.74,229.94); + + +\definecolor{drawColor}{RGB}{147,19,185} + +\path[draw=drawColor,line width= 0.7pt,line join=round,line cap=round] ( 44.64,157.45) -- ( 59.27,128.85) -- ( 73.90,116.33) -- (103.16,104.70) -- (139.74, 99.52); +\definecolor{fillColor}{RGB}{36,116,7} + +\path[fill=fillColor,fill opacity=0.30] ( 44.64,127.46) -- ( 59.27,112.88) -- ( 73.90,107.67) -- (103.16,101.24) -- (139.74, 97.90) -- (139.74, 91.72) -- (103.16, 93.73) -- ( 73.90, 98.51) -- ( 59.27,101.87) -- ( 44.64,112.70) -- + cycle; +\definecolor{fillColor}{RGB}{42,98,182} + +\path[fill=fillColor,fill opacity=0.30] ( 44.64,230.71) -- ( 59.27,230.36) -- ( 73.90,230.07) -- (103.16,230.23) -- (139.74,230.15) -- (139.74,229.65) -- (103.16,229.53) -- ( 73.90,229.54) -- ( 59.27,229.25) -- ( 44.64,229.22) -- + cycle; + +\definecolor{fillColor}{RGB}{147,19,185} + +\path[fill=fillColor,fill opacity=0.30] ( 44.64,172.90) -- ( 59.27,140.34) -- ( 73.90,122.60) -- (103.16,109.34) -- (139.74,103.80) -- (139.74, 95.11) -- (103.16, 99.59) -- ( 73.90,105.02) -- ( 59.27,114.84) -- ( 44.64,142.20) -- + cycle; +\end{scope} + +\end{tikzpicture} diff --git a/LaTeX/plots/aggr-1a-normal.csv b/LaTeX/plots/aggr-1a-normal.csv new file mode 100644 index 0000000..8c5918d --- /dev/null +++ b/LaTeX/plots/aggr-1a-normal.csv @@ -0,0 +1,6 @@ +sample.size time.gmlm dist.subspace.gmlm dist.projection.gmlm time.pca dist.subspace.pca dist.projection.pca time.hopca dist.subspace.hopca dist.projection.hopca time.tsir dist.subspace.tsir dist.projection.tsir time.mgcca dist.subspace.mgcca dist.projection.mgcca +100 0.03385 0.2433541701 0.2433541701 0.00226 0.863261257 0.863261257 0.00132 0.961234054 0.961234054 0.01148 0.27002415 0.27002415 0.02002 0.726356935 0.726356935 +200 0.05152 0.1649899379 0.1649899379 0.00217 0.852767026 0.852767026 0.00266 0.960479878 0.960479878 0.01373 0.1884941138 0.1884941138 0.01991 0.713602535 0.713602535 +300 0.06495 0.1336658703 0.1336658703 0.00486 0.843714531 0.843714531 0.01064 0.958630831 0.958630831 0.01328 0.1526304709 0.1526304709 0.02 0.71557788 0.71557788 +500 0.13549 0.1032317816 0.1032317816 0.00938 0.846591187 0.846591187 0.01447 0.959566069 0.959566069 0.01722 0.1208618464 0.1208618464 0.05966 0.713613799 0.713613799 +750 0.19323 0.0920445927 0.0920445927 0.00751 0.843049644 0.843049644 0.02065 0.95998194 0.95998194 0.02132 0.1040318623 0.1040318623 0.06884 0.708925464 0.708925464 diff --git a/LaTeX/plots/aggr-1b-normal.csv b/LaTeX/plots/aggr-1b-normal.csv new file mode 100644 index 0000000..ecd6ac5 --- /dev/null +++ b/LaTeX/plots/aggr-1b-normal.csv @@ -0,0 +1,6 @@ +sample.size rep time.gmlm dist.subspace.gmlm dist.projection.gmlm time.pca dist.subspace.pca dist.projection.pca time.hopca dist.subspace.hopca dist.projection.hopca time.tsir dist.subspace.tsir dist.projection.tsir time.mgcca dist.subspace.mgcca dist.projection.mgcca +100 50.5 0.14271 0.1354623792 0.1798569269 0.0025 0.805020847 0.999758145 0.00145 0.761295768 0.954043725 0.0099 0.1994699895 0.265283655 0.56208 0.770351142 0.999521275 +200 50.5 0.31697 0.091214259 0.1210839439 0.00241 0.802922368 0.999879665 0.00257 0.730120539 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0.0922734022 0.00524888557 +0.1 3 2 0.03919134772 0.1392374104 0.00405657452 +0.2 3 2 0.0512381601 0.2187110985 0.002917695203 +0.3 3 2 0.05320741753 0.339382769 0.001845247336 +0.4 3 2 0.05652189257 0.476061088 0.00128800652 +0.5 3 2 0.0782460901 0.653943167 0.000821208511 +0.6 3 2 0.0986561143 0.834839108 0.000482747573 +0.7 3 2 0.1380699767 0.967224131 0.000250640226 +0.8 3 2 0.1784597136 0.997450021 0.000106823797 +0 4 2 0.03222682489 0.2450182862 0.00188728903 +0.1 4 2 0.03486174389 0.4142114066 0.00115216396 +0.2 4 2 0.03931006383 0.669792609 0.00078017042 +0.3 4 2 0.0481088931 0.853140232 0.00048375608 +0.4 4 2 0.0598583401 0.968730327 0.000294225075 +0.5 4 2 0.0747933415 0.99692433 0.0001634921303 +0.6 4 2 0.1156758178 0.999887965 8.50620125e-05 +0.7 4 2 0.1841296132 0.99999922 3.88864634e-05 +0.8 4 2 0.0601816739 1 1.275924145e-05 diff --git a/LaTeX/plots/sim-ising-perft-m2.tex b/LaTeX/plots/sim-ising-perft-m2.tex new file mode 100644 index 0000000..aab0b76 --- /dev/null +++ b/LaTeX/plots/sim-ising-perft-m2.tex @@ -0,0 +1,95 @@ +%%% R code to generate the input data files from corresponding simulation logs +% R> setwd("~/Work/tensorPredictors") +% R> +% R> for (sim.name in c("2a")) { +% R> pattern <- paste0("sim\\_", sim.name, "\\_ising\\-[0-9T]*\\.csv") +% R> log.file <- sort( +% R> list.files(path = "sim/", pattern = pattern, full.names = TRUE), +% R> decreasing = TRUE +% R> )[[1]] +% R> +% R> sim <- read.csv(log.file) +% R> +% R> aggr <- aggregate(sim[, names(sim) != "sample.size"], list(sample.size = sim$sample.size), mean) +% R> +% R> write.table(aggr, file = paste0("LaTeX/plots/aggr-", sim.name, "-ising.csv"), row.names = FALSE, quote = FALSE) +% R> } +\documentclass[border=0cm]{standalone} + +\usepackage{tikz} +\usepackage{pgfplots} +\usepackage{amssymb, bm} + +\definecolor{exact}{RGB}{230,0,0} +\definecolor{MC}{RGB}{30,180,30} +\definecolor{MCthrd}{RGB}{0,0,230} + +\pgfplotsset{ + compat=newest, + grid=both, + grid style={gray!15} +} +\tikzset{ + legend entry/.style={ + mark = *, + mark size = 1pt, + mark indices = {2}, + line width=0.8pt + } +} + +\begin{document} +\begin{tikzpicture}[>=latex] + + \begin{axis}[ + name=perft, + xmode = normal, ymode = log, + xtick={10, 30, 50, 70, 90, 110, 130}, + mark = *, + mark size = 1pt, + ytick={1,1e1,1e2,1e3,1e4,1e5,1e6,1e7}, + yticklabels={$1\mu s$,$10\mu s$,$100\mu s$,$1 ms$,$10 ms$,$100 ms$,$1 s$,$10 s$}, + xlabel = {Dimension $p$}, + ylabel = {Time} + ] + \addplot[ + only marks, + color = exact + ] table[x = dim, y = exact] {aggr-ising-perft-m2.csv}; + \addplot[ + only marks, + color = MC + ] table[x = dim, y = MC] {aggr-ising-perft-m2.csv}; + \addplot[ + only marks, + color = MCthrd + ] table[x = dim, y = MCthrd] {aggr-ising-perft-m2.csv}; + + \addplot[smooth, domain = 8:25, color = exact, samples = 64] { 2^(x - 3) }; + \addplot[smooth, domain = 1:130, color = MC, samples = 64] { + -18340.8 + 7557.0 * x + 200.3 * x^2 + }; + \addplot[smooth, domain = 1:130, color = MCthrd, samples = 64] { + 8413.21 + 3134.98 * x + 41.87 * x^2 + }; + \end{axis} + + \matrix[anchor = west] at (perft.east) { + \draw[color=exact, only marks, mark = *, mark size = 1pt, mark indices = {2}] plot coordinates {(0, 0) (.3, 0) (.6, 0)}; + & \node[anchor=west] {exact}; \\ + \draw[color=exact, line width = 0.8pt] plot coordinates {(0, 0) (.4, 0)}; + & \node[anchor=west] {$\mathcal{O}(2^p)$}; \\ + \draw[color=MC, only marks, mark = *, mark size = 1pt, mark indices = {2}] plot coordinates {(0, 0) (.3, 0) (.6, 0)}; + & \node[anchor=west] {MC}; \\ + \draw[color=MC, line width = 0.8pt] plot coordinates {(0, 0) (.4, 0)}; + & \node[anchor=west] {$\mathcal{O}(p^2)$}; \\ + \draw[color=MCthrd, only marks, mark = *, mark size = 1pt, mark indices = {2}] plot coordinates {(0, 0) (.3, 0) (.6, 0)}; + & \node[anchor=west] {MC (8 thrd)}; \\ + \draw[color=MCthrd, line width = 0.8pt] plot coordinates {(0, 0) (.4, 0)}; + & \node[anchor=west] {$\mathcal{O}(p^2)$}; \\ + }; + + \node[anchor = south] at (current bounding box.north) {Ising Second Moment Performance Test}; + +\end{tikzpicture} +\end{document} diff --git a/LaTeX/plots/sim-tsir.tex b/LaTeX/plots/sim-tsir.tex new file mode 100644 index 0000000..56cbf77 --- /dev/null +++ b/LaTeX/plots/sim-tsir.tex @@ -0,0 +1,114 @@ +%%% R code to generate the input data files from corresponding simulation logs +% R> setwd("~/Work/tensorPredictors") +% R> +% R> sim <- read.csv("sim/sim-tsir-20231123T1155.csv") +% R> +% R> aggr <- aggregate(sim[startsWith(names(sim), "dist")], sim[c("rho", "order", "beta.version")], mean) +% R> +% R> write.table(aggr, file = "LaTeX/plots/aggr-tsir.csv", row.names = FALSE, quote = FALSE) +\documentclass[border=0cm]{standalone} + +\usepackage{tikz} +\usepackage{pgfplots} +\usepackage{bm} + +\definecolor{gmlm}{RGB}{0,0,0} +% \definecolor{mgcca}{RGB}{86,180,233} +\definecolor{tsir}{RGB}{0,158,115} +\definecolor{sir}{RGB}{86,180,233} +% \definecolor{hopca}{RGB}{230,159,0} +% \definecolor{pca}{RGB}{240,228,66} +% \definecolor{lpca}{RGB}{0,114,178} +% \definecolor{clpca}{RGB}{213,94,0} + +\pgfplotsset{ + compat=newest, + every axis/.style={ + % grid, + % grid style={gray, dotted}, + 3d box = complete*, + xtick = {0, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8}, + ytick = {2, 3, 4}, + ymin = 1.5, ymax = 4.5, + ztick = {0.2, 0.4, 0.6, 0.8, 1}, + zmin = 0, zmax = 1, + xlabel = $\rho$, + ylabel = $r$ + } +} +\tikzset{ + legend entry/.style={ + mark = *, + mark size = 1pt, + mark indices = {2}, + line width=0.8pt + } +} + +\newcommand{\addarea}[4]{ + \addplot3[ + fill = #1, + draw = none, + fill opacity = 0.65, + y filter/.append expression={ + \thisrow{order} == #3 && \thisrow{beta.version} == #2 ? #4 : NaN + } + ] table [x = rho, y expr = NaN, z = dist.subspace.#1] {aggr-tsir.csv} \closedcycle; + \addplot3[ + color = #1, + line width = 0.8pt, + y filter/.append expression={ + \thisrow{order} == #3 && \thisrow{beta.version} == #2 ? #4 : NaN + } + ] table [x = rho, y expr = NaN, z = dist.subspace.#1] {aggr-tsir.csv}; +} + +\begin{document} +\begin{tikzpicture}[>=latex] + + \begin{axis}[ + name=v1 + ] + \addarea{sir}{1}{4}{4.05}; + \addarea{tsir}{1}{4}{4.0}; + \addarea{gmlm}{1}{4}{3.95}; + + \addarea{sir}{1}{3}{3.05}; + \addarea{tsir}{1}{3}{3.0}; + \addarea{gmlm}{1}{3}{2.95}; + + \addarea{sir}{1}{2}{2.05}; + \addarea{tsir}{1}{2}{2.0}; + \addarea{gmlm}{1}{2}{1.95}; + \end{axis} + \node[anchor = south] at (v1.north) {V1}; + + \begin{axis}[ + name=v2, + xshift = 8cm + ] + \addarea{tsir}{2}{4}{4.05}; + \addarea{gmlm}{2}{4}{4.0}; + \addarea{sir}{2}{4}{3.95}; + + \addarea{tsir}{2}{3}{3.05}; + \addarea{gmlm}{2}{3}{3.0}; + \addarea{sir}{2}{3}{2.95}; + + \addarea{tsir}{2}{2}{2.05}; + \addarea{gmlm}{2}{2}{2.0}; + \addarea{sir}{2}{2}{1.95}; + \end{axis} + \node[anchor = south] at (v2.north) {V2}; + + \matrix[anchor = north] at (current bounding box.south) { + \fill[color = gmlm, opacity = 0.65] (0, -.1) rectangle (.6, .1); \draw[color=gmlm, line width = 0.8pt] (0, .1) -- (.6, .1); & \node[anchor=west] {GMLM}; & + \fill[color = tsir, opacity = 0.65] (0, -.1) rectangle (.6, .1); \draw[color=tsir, line width = 0.8pt] (0, .1) -- (.6, .1); & \node[anchor=west] {TSIR}; & + \fill[color = sir, opacity = 0.65] (0, -.1) rectangle (.6, .1); \draw[color=sir, line width = 0.8pt] (0, .1) -- (.6, .1); & \node[anchor=west] {SIR}; \\ + }; + + \node[anchor = south, rotate = 90, yshift = 1.5em] at (v1.west) {Subspace Distance $d(\boldsymbol{B}, \widehat{\boldsymbol{B}})$}; + \node[anchor = south, rotate = -90, yshift = 1.5em] at (v2.east) {\phantom{Subspace Distance $d(\boldsymbol{B}, \widehat{\boldsymbol{B}})$}}; + +\end{tikzpicture} +\end{document}