141 lines
6.8 KiB
TeX
141 lines
6.8 KiB
TeX
%%% R code to generate the input data files from corresponding simulation logs
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% R> setwd("~/Work/tensorPredictors")
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% R>
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% R> for (sim.name in c("2a", "2b", "2c", "2d")) {
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% R> pattern <- paste0("sim\\_", sim.name, "\\_ising\\-[0-9T]*\\.csv")
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% R> log.file <- sort(
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% R> list.files(path = "sim/", pattern = pattern, full.names = TRUE),
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% R> decreasing = TRUE
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% R> )[[1]]
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% R>
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% R> sim <- read.csv(log.file)
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% R>
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% R> aggr <- aggregate(sim[, names(sim) != "sample.size"], list(sample.size = sim$sample.size), mean)
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% R>
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% R> write.table(aggr, file = paste0("LaTeX/plots/aggr-", sim.name, "-ising.csv"), row.names = FALSE, quote = FALSE)
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% R> }
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\documentclass[border=0cm]{standalone}
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\usepackage{tikz}
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\usepackage{pgfplots}
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\usepackage{bm}
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\definecolor{gmlm}{RGB}{0,0,0}
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\definecolor{mgcca}{RGB}{86,180,233}
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\definecolor{tsir}{RGB}{0,158,115}
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\definecolor{pca}{RGB}{240,228,66}
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\definecolor{hopca}{RGB}{230,159,0}
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\definecolor{lpca}{RGB}{127,127,127}
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\definecolor{clpca}{RGB}{191,191,191}
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\pgfplotsset{
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every axis/.style={
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xtick={100,200,300,500,750},
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ymin=-0.05, ymax=1.05,
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grid=both,
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grid style={gray, dotted}
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},
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every axis plot/.append style={
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mark = *,
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mark size = 1pt,
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line width=0.8pt
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}
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}
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\tikzset{
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legend entry/.style={
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mark = *,
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mark size = 1pt,
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mark indices = {2},
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line width=0.8pt
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}
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}
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\begin{document}
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\begin{tikzpicture}[>=latex]
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\begin{axis}[
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name=sim-2a,
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xticklabel=\empty
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]
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\addplot[color = gmlm, line width=1pt] table[x = sample.size, y = dist.subspace.gmlm] {aggr-1a-normal.csv};
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\addplot[color = pca] table[x = sample.size, y = dist.subspace.pca] {aggr-2a-ising.csv};
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\addplot[color = hopca] table[x = sample.size, y = dist.subspace.hopca] {aggr-2a-ising.csv};
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\addplot[color = tsir] table[x = sample.size, y = dist.subspace.tsir] {aggr-2a-ising.csv};
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\addplot[color = mgcca] table[x = sample.size, y = dist.subspace.mgcca] {aggr-2a-ising.csv};
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\addplot[color = lpca] table[x = sample.size, y = dist.subspace.lpca] {aggr-2a-ising.csv};
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\addplot[color = clpca] table[x = sample.size, y = dist.subspace.clpca] {aggr-2a-ising.csv};
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\end{axis}
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\node[anchor = base west, yshift = 0.3em] at (sim-2a.north west) {
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a: linear dependence on $\mathcal{F}_y \equiv y$
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};
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\begin{axis}[
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name=sim-2b,
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anchor=north west, at={(sim-2a.right of north east)}, xshift=0.1cm,
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xticklabel=\empty,
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ylabel near ticks, yticklabel pos=right
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]
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\addplot[color = gmlm, line width=1pt] table[x = sample.size, y = dist.subspace.gmlm] {aggr-1a-normal.csv};
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\addplot[color = pca] table[x = sample.size, y = dist.subspace.pca] {aggr-2b-ising.csv};
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\addplot[color = hopca] table[x = sample.size, y = dist.subspace.hopca] {aggr-2b-ising.csv};
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\addplot[color = tsir] table[x = sample.size, y = dist.subspace.tsir] {aggr-2b-ising.csv};
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\addplot[color = mgcca] table[x = sample.size, y = dist.subspace.mgcca] {aggr-2b-ising.csv};
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\addplot[color = lpca] table[x = sample.size, y = dist.subspace.lpca] {aggr-2b-ising.csv};
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\addplot[color = clpca] table[x = sample.size, y = dist.subspace.clpca] {aggr-2b-ising.csv};
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\end{axis}
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\node[anchor = base west, yshift = 0.3em] at (sim-2b.north west) {
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b: quadratic dependence on $y$
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};
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\begin{axis}[
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name=sim-2c,
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anchor=north west, at={(sim-2a.below south west)}, yshift=-.8em,
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xticklabel=\empty
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]
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\addplot[color = gmlm, line width=1pt] table[x = sample.size, y = dist.subspace.gmlm] {aggr-1a-normal.csv};
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\addplot[color = pca] table[x = sample.size, y = dist.subspace.pca] {aggr-2c-ising.csv};
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\addplot[color = hopca] table[x = sample.size, y = dist.subspace.hopca] {aggr-2c-ising.csv};
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\addplot[color = tsir] table[x = sample.size, y = dist.subspace.tsir] {aggr-2c-ising.csv};
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\addplot[color = mgcca] table[x = sample.size, y = dist.subspace.mgcca] {aggr-2c-ising.csv};
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\addplot[color = lpca] table[x = sample.size, y = dist.subspace.lpca] {aggr-2c-ising.csv};
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\addplot[color = clpca] table[x = sample.size, y = dist.subspace.clpca] {aggr-2c-ising.csv};
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\end{axis}
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\node[anchor = base west, yshift = 0.3em] at (sim-2c.north west) {
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c: rank 1 $\boldsymbol{\beta}$'s
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};
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\begin{axis}[
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name=sim-2d,
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anchor=north west, at={(sim-2c.right of north east)}, xshift=0.1cm,
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ylabel near ticks, yticklabel pos=right
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]
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\addplot[color = gmlm, line width=1pt] table[x = sample.size, y = dist.subspace.gmlm] {aggr-1a-normal.csv};
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\addplot[color = pca] table[x = sample.size, y = dist.subspace.pca] {aggr-2d-ising.csv};
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\addplot[color = hopca] table[x = sample.size, y = dist.subspace.hopca] {aggr-2d-ising.csv};
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\addplot[color = tsir] table[x = sample.size, y = dist.subspace.tsir] {aggr-2d-ising.csv};
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\addplot[color = mgcca] table[x = sample.size, y = dist.subspace.mgcca] {aggr-2d-ising.csv};
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\addplot[color = lpca] table[x = sample.size, y = dist.subspace.lpca] {aggr-2d-ising.csv};
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\addplot[color = clpca] table[x = sample.size, y = dist.subspace.clpca] {aggr-2d-ising.csv};
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\end{axis}
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\node[anchor = base west, yshift = 0.3em] at (sim-2d.north west) {
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d: interaction constraints via $\boldsymbol{\Omega}$'s
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};
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\node[anchor = north] at (current bounding box.south) {Sample Size $n$};
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\matrix[anchor = north] at (current bounding box.south) {
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\draw[color=gmlm, legend entry, line width=1pt] plot coordinates {(0, 0) (.3, 0) (.6, 0)}; & \node[anchor=west] {GMLM}; &
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\draw[color=tsir, legend entry] plot coordinates {(0, 0) (.3, 0) (.6, 0)}; & \node[anchor=west] {TSIR}; &
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\draw[color=mgcca, legend entry] plot coordinates {(0, 0) (.3, 0) (.6, 0)}; & \node[anchor=west] {MGCCA}; &
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\draw[color=hopca, legend entry] plot coordinates {(0, 0) (.3, 0) (.6, 0)}; & \node[anchor=west] {HOPCA}; &
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\draw[color=pca, legend entry] plot coordinates {(0, 0) (.3, 0) (.6, 0)}; & \node[anchor=west] {PCA}; &
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\draw[color=lpca, legend entry] plot coordinates {(0, 0) (.3, 0) (.6, 0)}; & \node[anchor=west] {LPCA}; &
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\draw[color=clpca, legend entry] plot coordinates {(0, 0) (.3, 0) (.6, 0)}; & \node[anchor=west] {CLPCA}; \\
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};
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\node[anchor = south, rotate = 90] at (current bounding box.west) {Subspace Distance $d(\boldsymbol{B}, \hat{\boldsymbol{B}})$};
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\node[anchor = south, rotate = 270] at (current bounding box.east) {\phantom{Subspace Distance $d(\boldsymbol{B}, \hat{\boldsymbol{B}})$}};
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\node[anchor = south, font=\large] at (current bounding box.north) {Ising Simulation};
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\end{tikzpicture}
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\end{document}
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