doc

8 files changed, 20049 insertions, 0 deletions

diff --git a/doc/Makefile b/doc/Makefile
new file mode 100644
index 0000000..e0120fd
--- /dev/null
+++ b/doc/Makefile
@@ -0,0 +1,3 @@
+doc.pdf: doc.tex *.gnuplot
+	echo 'hit enter a couple of times for every `pause` in the gnuplot scripts'
+	pdflatex -shell-escape doc.tex
diff --git a/doc/array_naive_vs_episodic.gnuplot b/doc/array_naive_vs_episodic.gnuplot
new file mode 100644
index 0000000..3f7ea0e
--- /dev/null
+++ b/doc/array_naive_vs_episodic.gnuplot
@@ -0,0 +1,6 @@
+set xrange [0: 1000]
+
+plot 'logs/old.log' with lines,\
+     'logs/new.log' with lines
+pause -1
+
diff --git a/doc/array_naive_vs_episodic_deriv.gnuplot b/doc/array_naive_vs_episodic_deriv.gnuplot
new file mode 100644
index 0000000..0900f2e
--- /dev/null
+++ b/doc/array_naive_vs_episodic_deriv.gnuplot
@@ -0,0 +1,5 @@
+set xrange [0: 1000]
+
+plot 'derivs/old.log' with lines,\
+     'derivs/new.log' with lines
+pause -1
diff --git a/doc/derivs/new.log b/doc/derivs/new.log
new file mode 100644
index 0000000..d16ef94
--- /dev/null
+++ b/doc/derivs/new.log
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diff --git a/doc/derivs/old.log b/doc/derivs/old.log
new file mode 100644
index 0000000..2ac6ddd
--- /dev/null
+++ b/doc/derivs/old.log
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diff --git a/doc/doc.tex b/doc/doc.tex
new file mode 100644
index 0000000..6eef2cb
--- /dev/null
+++ b/doc/doc.tex
@@ -0,0 +1,35 @@
+\documentclass[ngerman]{scrartcl} %lädt die Dokumentklasse
+
+\usepackage{gnuplottex}
+\usepackage{amsmath}
+
+\begin{document}
+\section{Naive vs Episodic array learning}
+Using the \verb+QArray+ function approximator, different training strategies can be used:
+
+\begin{itemize}
+\item Immediately when a new $(\text{oldstate}, \text{action}, \text{newstate}, \text{reward})$ pair has been learned,
+	update the $Q$ array by:
+	$$Q_{\text{oldstate},\text{action}} = Q_{\text{oldstate},\text{action}} + \alpha \cdot (\text{reward} + \gamma \max_{a'} Q_{\text{newstate},{a'}} - Q_{\text{oldstate},\text{action}})$$
+
+	This is standard textbook reinforcement learning, and referred to as the "old" approach.
+
+\item Alternatively, we can store the $(\text{oldstate}, \text{action}, \text{newstate}, \text{reward})$ pairs in an array,
+	without instantly training them into out array. Then, at the end of an episode, we go through this list \emph{reversed}, and update as above.
+
+	This has two effects:
+	\begin{itemize}
+	\item During an episode, we don't learn anything about former actions done during this episode
+	\item At the end of an episode, a newly discovered path is completely learned, as opposed to the above approach, where for any newly discovered path only the last state before known terrain is learned.
+	\end{itemize}
+\end{itemize}
+
+In the graphs, which show the total reward earned as a function of the episodes ran, we see, that the second ("new") approach converges to an equally good training result, however it gets good faster.
+
+\gnuplotloadfile[terminal=pdf]{array_naive_vs_episodic.gnuplot}
+
+\gnuplotloadfile[terminal=pdf]{array_naive_vs_episodic_deriv.gnuplot}
+
+Code used: \verb+f9a9a51884aadef97b8952b2807541d31b7e9917+ for the "new" plots, and the same code with the line 254 (\verb+self.flush_learnbuffer() # TODO TRYME+) enabled for the "old" plots. Use \verb+sol.py+, or the \verb+test.sh+ script.
+
+\end{document}
diff --git a/doc/logs/new.log b/doc/logs/new.log
new file mode 100644
index 0000000..7e2f223
--- /dev/null
+++ b/doc/logs/new.log
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diff --git a/doc/logs/old.log b/doc/logs/old.log
new file mode 100644
index 0000000..19b617e
--- /dev/null
+++ b/doc/logs/old.log
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