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tensor_predictors
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start cleanup after writing thesis

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Daniel Kapla 2024-03-19 13:30:44 +01:00
parent 636eebf720
commit db9c3f4794
3 changed files with 1341 additions and 644 deletions
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LaTeX/main.bib
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LaTeX/paper.tex
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LaTeX/plots/sim-ising.tex
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@ -1,7 +1,7 @@
%%% R code to generate the input data files from corresponding simulation logs %%% R code to generate the input data files from corresponding simulation logs
% R> setwd("~/Work/tensorPredictors") % R> setwd("~/Work/tensorPredictors")
% R> % R>
% R> for (sim.name in c("2a")) { % R> for (sim.name in c("2a", "2b", "2c", "2d")) {
% R> pattern <- paste0("sim\\_", sim.name, "\\_ising\\-[0-9T]*\\.csv") % R> pattern <- paste0("sim\\_", sim.name, "\\_ising\\-[0-9T]*\\.csv")
% R> log.file <- sort( % R> log.file <- sort(
% R> list.files(path = "sim/", pattern = pattern, full.names = TRUE), % R> list.files(path = "sim/", pattern = pattern, full.names = TRUE),
@ -66,7 +66,7 @@
\addplot[color = clpca] table[x = sample.size, y = dist.subspace.clpca] {aggr-2a-ising.csv}; \addplot[color = clpca] table[x = sample.size, y = dist.subspace.clpca] {aggr-2a-ising.csv};
\end{axis} \end{axis}
\node[anchor = base west, yshift = 0.3em] at (sim-2a.north west) { \node[anchor = base west, yshift = 0.3em] at (sim-2a.north west) {
a: small a: linear dependence on $\mathcal{F}_y \equiv y$
}; };
\begin{axis}[ \begin{axis}[
name=sim-2b, name=sim-2b,
@ -83,7 +83,7 @@
\addplot[color = clpca] table[x = sample.size, y = dist.subspace.clpca] {aggr-2b-ising.csv}; \addplot[color = clpca] table[x = sample.size, y = dist.subspace.clpca] {aggr-2b-ising.csv};
\end{axis} \end{axis}
\node[anchor = base west, yshift = 0.3em] at (sim-2b.north west) { \node[anchor = base west, yshift = 0.3em] at (sim-2b.north west) {
b: b: quadratic dependence on $y$
}; };
\begin{axis}[ \begin{axis}[
name=sim-2c, name=sim-2c,
@ -99,7 +99,7 @@
\addplot[color = clpca] table[x = sample.size, y = dist.subspace.clpca] {aggr-2c-ising.csv}; \addplot[color = clpca] table[x = sample.size, y = dist.subspace.clpca] {aggr-2c-ising.csv};
\end{axis} \end{axis}
\node[anchor = base west, yshift = 0.3em] at (sim-2c.north west) { \node[anchor = base west, yshift = 0.3em] at (sim-2c.north west) {
c: c: rank 1 $\boldsymbol{\beta}$'s
}; };
\begin{axis}[ \begin{axis}[
@ -116,83 +116,21 @@
\addplot[color = clpca] table[x = sample.size, y = dist.subspace.clpca] {aggr-2d-ising.csv}; \addplot[color = clpca] table[x = sample.size, y = dist.subspace.clpca] {aggr-2d-ising.csv};
\end{axis} \end{axis}
\node[anchor = base west, yshift = 0.3em] at (sim-2d.north west) { \node[anchor = base west, yshift = 0.3em] at (sim-2d.north west) {
d: d: interaction constraints via $\boldsymbol{\Omega}$'s
}; };
% \begin{axis}[
% name=sim-1b,
% anchor=north west, at={(sim-2a.right of north east)}, xshift=0.1cm,
% xticklabel=\empty,
% ylabel near ticks, yticklabel pos=right
% ]
% \addplot[color = pca] table[x = sample.size, y = dist.subspace.pca] {aggr-1b-normal.csv};
% \addplot[color = hopca] table[x = sample.size, y = dist.subspace.hopca] {aggr-1b-normal.csv};
% \addplot[color = tsir] table[x = sample.size, y = dist.subspace.tsir] {aggr-1b-normal.csv};
% \addplot[color = mgcca] table[x = sample.size, y = dist.subspace.mgcca] {aggr-1b-normal.csv};
% \addplot[color = gmlm, line width=1pt] table[x = sample.size, y = dist.subspace.gmlm] {aggr-1b-normal.csv};
% \end{axis}
% \node[anchor = base west, yshift = 0.3em] at (sim-1b.north west) {
% b: cubic dependence on $y$
% };
% \begin{axis}[
% name=sim-1c,
% anchor=north west, at={(sim-2a.below south west)}, yshift=-.8em,
% xticklabel=\empty
% ]
% \addplot[color = pca] table[x = sample.size, y = dist.subspace.pca] {aggr-1c-normal.csv};
% \addplot[color = hopca] table[x = sample.size, y = dist.subspace.hopca] {aggr-1c-normal.csv};
% \addplot[color = tsir] table[x = sample.size, y = dist.subspace.tsir] {aggr-1c-normal.csv};
% \addplot[color = mgcca] table[x = sample.size, y = dist.subspace.mgcca] {aggr-1c-normal.csv};
% \addplot[color = gmlm, line width=1pt] table[x = sample.size, y = dist.subspace.gmlm] {aggr-1c-normal.csv};
% \end{axis}
% \node[anchor = base west, yshift = 0.3em] at (sim-1c.north west) {
% c: rank $1$ $\boldsymbol{\beta}$'s
% };
% \begin{axis}[
% name=sim-1d,
% anchor=north west, at={(sim-1c.right of north east)}, xshift=0.1cm,
% ylabel near ticks, yticklabel pos=right
% ]
% \addplot[color = pca] table[x = sample.size, y = dist.subspace.pca] {aggr-1d-normal.csv};
% \addplot[color = hopca] table[x = sample.size, y = dist.subspace.hopca] {aggr-1d-normal.csv};
% \addplot[color = tsir] table[x = sample.size, y = dist.subspace.tsir] {aggr-1d-normal.csv};
% \addplot[color = mgcca] table[x = sample.size, y = dist.subspace.mgcca] {aggr-1d-normal.csv};
% \addplot[color = gmlm, line width=1pt] table[x = sample.size, y = dist.subspace.gmlm] {aggr-1d-normal.csv};
% \end{axis}
% \node[anchor = base west, yshift = 0.3em] at (sim-1d.north west) {
% d: tri-diagonal $\boldsymbol{\Omega}$'s
% };
% \begin{axis}[
% name=sim-1e,
% anchor=north west, at={(sim-1c.below south west)}, yshift=-.8em
% ]
% \addplot[color = pca] table[x = sample.size, y = dist.subspace.pca] {aggr-1e-normal.csv};
% \addplot[color = hopca] table[x = sample.size, y = dist.subspace.hopca] {aggr-1e-normal.csv};
% \addplot[color = tsir] table[x = sample.size, y = dist.subspace.tsir] {aggr-1e-normal.csv};
% \addplot[color = mgcca] table[x = sample.size, y = dist.subspace.mgcca] {aggr-1e-normal.csv};
% \addplot[color = gmlm, line width=1pt] table[x = sample.size, y = dist.subspace.gmlm] {aggr-1e-normal.csv};
% \end{axis}
% \node[anchor = base west, yshift = 0.3em] at (sim-1e.north west) {
% e: missspecified
% };
\matrix[anchor = west] at (sim-2a.right of east) {
\draw[color=gmlm, legend entry, line width=1pt] plot coordinates {(0, 0) (.3, 0) (.6, 0)}; & \node[anchor=west] {GMLM}; \\
\draw[color=tsir, legend entry] plot coordinates {(0, 0) (.3, 0) (.6, 0)}; & \node[anchor=west] {TSIR}; \\
\draw[color=mgcca, legend entry] plot coordinates {(0, 0) (.3, 0) (.6, 0)}; & \node[anchor=west] {MGCCA}; \\
\draw[color=hopca, legend entry] plot coordinates {(0, 0) (.3, 0) (.6, 0)}; & \node[anchor=west] {HOPCA}; \\
\draw[color=pca, legend entry] plot coordinates {(0, 0) (.3, 0) (.6, 0)}; & \node[anchor=west] {PCA}; \\
\draw[color=lpca, legend entry] plot coordinates {(0, 0) (.3, 0) (.6, 0)}; & \node[anchor=west] {LPCA}; \\
\draw[color=clpca, legend entry] plot coordinates {(0, 0) (.3, 0) (.6, 0)}; & \node[anchor=west] {CLPCA}; \\
};
\node[anchor = north] at (current bounding box.south) {Sample Size $n$}; \node[anchor = north] at (current bounding box.south) {Sample Size $n$};
\matrix[anchor = north] at (current bounding box.south) {
\draw[color=gmlm, legend entry, line width=1pt] plot coordinates {(0, 0) (.3, 0) (.6, 0)}; & \node[anchor=west] {GMLM}; &
\draw[color=tsir, legend entry] plot coordinates {(0, 0) (.3, 0) (.6, 0)}; & \node[anchor=west] {TSIR}; &
\draw[color=mgcca, legend entry] plot coordinates {(0, 0) (.3, 0) (.6, 0)}; & \node[anchor=west] {MGCCA}; &
\draw[color=hopca, legend entry] plot coordinates {(0, 0) (.3, 0) (.6, 0)}; & \node[anchor=west] {HOPCA}; &
\draw[color=pca, legend entry] plot coordinates {(0, 0) (.3, 0) (.6, 0)}; & \node[anchor=west] {PCA}; &
\draw[color=lpca, legend entry] plot coordinates {(0, 0) (.3, 0) (.6, 0)}; & \node[anchor=west] {LPCA}; &
\draw[color=clpca, legend entry] plot coordinates {(0, 0) (.3, 0) (.6, 0)}; & \node[anchor=west] {CLPCA}; \\
};
\node[anchor = south, rotate = 90] at (current bounding box.west) {Subspace Distance $d(\boldsymbol{B}, \hat{\boldsymbol{B}})$}; \node[anchor = south, rotate = 90] at (current bounding box.west) {Subspace Distance $d(\boldsymbol{B}, \hat{\boldsymbol{B}})$};
\node[anchor = south, rotate = 270] at (current bounding box.east) {\phantom{Subspace Distance $d(\boldsymbol{B}, \hat{\boldsymbol{B}})$}}; \node[anchor = south, rotate = 270] at (current bounding box.east) {\phantom{Subspace Distance $d(\boldsymbol{B}, \hat{\boldsymbol{B}})$}};