From 0a581098bbbe1d7d8ba326f4e9be6a3fcfb57297 Mon Sep 17 00:00:00 2001 From: "Julian M. Kunkel" Date: Thu, 19 Nov 2020 16:58:18 +0000 Subject: [PATCH] Mehr text --- paper/main.tex | 165 +++++++++++++++++++++++++++++-------------------- 1 file changed, 97 insertions(+), 68 deletions(-) diff --git a/paper/main.tex b/paper/main.tex index 91e04be..a32622a 100644 --- a/paper/main.tex +++ b/paper/main.tex @@ -296,7 +296,7 @@ In \Cref{fig:job-L}, the mean value is mostly rounded down to 0 except for the f \begin{subfigure}{0.8\textwidth} \centering \includegraphics[width=\textwidth]{job-timeseries7488914-30} -\caption{Job-L (first 30 segments of 400; remaining segments are similar)} +\caption{Job-L (first 30 segments of 400; remaining segments are zero)} \label{fig:job-L} \end{subfigure} \centering @@ -734,6 +734,29 @@ The number of unique names is 19, 38, 49, and 51 for BIN\_aggzero, HEX\_phases, The jobs that are similar according to the bin algorithms (see \Cref{fig:job-M-bin-aggzero}) differ from our expectations. The other algorithms like HEX\_lev (\Cref{fig:job-M-hex-lev}) and HEX\_native (\Cref{fig:job-M-hex-native}) seem to work as intended: While jobs exhibit short bursts of other active metrics even for low similarity we can eyeball a relevant similarity. +The KS algorithm working on the histograms ranks the jobs correctly on the similarity of their histograms. +However, as it does not deal with the length of the jobs, it may identify jobs of very different length. +In \Cref{fig:job-M-ks}, we see the 3rd ranked job, which profile is indeed quite similar but the time series differs but it is just running for 10min (1 segment) on 10\,nodes. +Remember, for the KS algorithm, we concatenate the metrics of all nodes together instead of averaging it in order to explore if node-specific information helps to draw further information about similarity. + +\begin{figure}[bt] +\begin{subfigure}{0.5\textwidth} +\centering +\includegraphics[width=\textwidth]{job_similarities_5024292-out/ks-0.7863--ks-2hist7827264} +\caption{Histogram} +\end{subfigure} +\qquad +\begin{subfigure}{0.36\textwidth} +\centering +\includegraphics[width=\textwidth]{job_similarities_5024292-out/ks-0.7863--ks-2timeseries7827264} +\caption{Concatenated time series} +\end{subfigure} + +\caption{Job-M with KS, for Rank\,3, SIM=78\%} +\label{fig:job-M-ks} +\end{figure} + + \begin{figure}[bt] @@ -818,37 +841,43 @@ While jobs exhibit short bursts of other active metrics even for low similarity \label{fig:job-M-hex-native} \end{figure} - -\begin{figure}[bt] -\begin{subfigure}{0.3\textwidth} -\centering -\includegraphics[width=\textwidth]{job_similarities_5024292-out/hex_phases-0.8831--1timeseries7826634} -\caption{Rank 2, SIM=88\%} -\end{subfigure} -\begin{subfigure}{0.3\textwidth} -\centering -\includegraphics[width=\textwidth]{job_similarities_5024292-out/hex_phases-0.7963--2timeseries5240733} -\caption{Rank 3, SIM=80\%} -\end{subfigure} -\begin{subfigure}{0.3\textwidth} -\includegraphics[width=\textwidth]{job_similarities_5024292-out/hex_phases-0.4583--14timeseries4244400} -\caption{Rank 15, SIM=46\%} -\end{subfigure} -\begin{subfigure}{0.3\textwidth} -\centering -\includegraphics[width=\textwidth]{job_similarities_5024292-out/hex_phases-0.2397--99timeseries7644009} -\caption{Rank 100, SIM=24\%} -\end{subfigure} - -\caption{Job-M with HEX\_phases, selection of similar jobs} -\label{fig:job-M-hex-phases} -\end{figure} +% +% \begin{figure}[bt] +% \begin{subfigure}{0.3\textwidth} +% \centering +% \includegraphics[width=\textwidth]{job_similarities_5024292-out/hex_phases-0.8831--1timeseries7826634} +% \caption{Rank 2, SIM=88\%} +% \end{subfigure} +% \begin{subfigure}{0.3\textwidth} +% \centering +% \includegraphics[width=\textwidth]{job_similarities_5024292-out/hex_phases-0.7963--2timeseries5240733} +% \caption{Rank 3, SIM=80\%} +% \end{subfigure} +% \begin{subfigure}{0.3\textwidth} +% \includegraphics[width=\textwidth]{job_similarities_5024292-out/hex_phases-0.4583--14timeseries4244400} +% \caption{Rank 15, SIM=46\%} +% \end{subfigure} +% \begin{subfigure}{0.3\textwidth} +% \centering +% \includegraphics[width=\textwidth]{job_similarities_5024292-out/hex_phases-0.2397--99timeseries7644009} +% \caption{Rank 100, SIM=24\%} +% \end{subfigure} +% +% \caption{Job-M with HEX\_phases, selection of similar jobs} +% \label{fig:job-M-hex-phases} +% \end{figure} \subsection{Job-L} -For the bin algorithms, the inspection of job names (14 unique names) leads to two prominent applications: bash and xmessy with 45 and 48 instances, respectively. -The hex algorithms identify a more diverse set of applications (18 unique names and no xmessy job), and the HEX\_phases algorithm has 85 unique names. -The KS algorithm finds 71 jobs ending with t127, which is a typical model configuration. +The bin algorithms find a low similarity (best 2nd ranked job is 17\% similar), the inspection of job names (14 unique names) leads to two prominent applications: bash and xmessy with 45 and 48 instances, respectively. +In \Cref{fig:job-L-bin-aggzero}, it can be seen that the found jobs have little in common with the reference job. + +The HEX\_lev and HEX\_native algorithms identify a more diverse set of applications (18 unique names and no xmessy job). +HEX\_native \Cref{fig:job-L-hex-native} finds long jobs where the only few activity as our reference job. +The HEX\_phases algorithm finds 85 unique names but as there is only one short IO phase in the reference job, it finds many (short) jobs with 100\% similarity as seen in \Cref{fig:job-L-hex-phases}. +The KS algorithm is even more inclusive having 1285 jobs with 100\% similarity; the 100 selected ones contain 71 jobs ending with t127, which is a typical model configuration. +As expected, the histograms mimics the profile of the reference job, and thus, the algorithm does what it is expected to do. + \begin{figure}[bt] \begin{subfigure}{0.3\textwidth} @@ -856,11 +885,11 @@ The KS algorithm finds 71 jobs ending with t127, which is a typical model config \includegraphics[width=\textwidth]{job_similarities_7488914-out/bin_aggzeros-0.1671--1timeseries7869050} \caption{Rank 2, SIM=17\%} \end{subfigure} -\begin{subfigure}{0.3\textwidth} -\centering -\includegraphics[width=\textwidth]{job_similarities_7488914-out/bin_aggzeros-0.1671--2timeseries7990497} -\caption{Rank 3, SIM=17\%} -\end{subfigure} +% \begin{subfigure}{0.3\textwidth} +% \centering +% \includegraphics[width=\textwidth]{job_similarities_7488914-out/bin_aggzeros-0.1671--2timeseries7990497} +% \caption{Rank 3, SIM=17\%} +% \end{subfigure} \begin{subfigure}{0.3\textwidth} \includegraphics[width=\textwidth]{job_similarities_7488914-out/bin_aggzeros-0.1521--14timeseries8363584} \caption{Rank 15, SIM=15\%} @@ -875,31 +904,31 @@ The KS algorithm finds 71 jobs ending with t127, which is a typical model config \label{fig:job-L-bin-aggzero} \end{figure} - -\begin{figure}[bt] -\begin{subfigure}{0.3\textwidth} -\centering -\includegraphics[width=\textwidth]{job_similarities_7488914-out/hex_lev-0.9386--1timeseries7266845} -\caption{Rank 2, SIM=94\%} -\end{subfigure} -\begin{subfigure}{0.3\textwidth} -\centering -\includegraphics[width=\textwidth]{job_similarities_7488914-out/hex_lev-0.9375--2timeseries7214657} -\caption{Rank 3, SIM=94\%} -\end{subfigure} -\begin{subfigure}{0.3\textwidth} -\includegraphics[width=\textwidth]{job_similarities_7488914-out/hex_lev-0.7251--14timeseries4341304} -\caption{Rank 15, SIM=73\%} -\end{subfigure} -\begin{subfigure}{0.3\textwidth} -\centering -\includegraphics[width=\textwidth]{job_similarities_7488914-out/hex_lev-0.1657--99timeseries8036223} -\caption{Rank 100, SIM=17\%} -\end{subfigure} - -\caption{Job-L with HEX\_lev, selection of similar jobs} -\label{fig:job-L-hex-lev} -\end{figure} +% +% \begin{figure}[bt] +% \begin{subfigure}{0.3\textwidth} +% \centering +% \includegraphics[width=\textwidth]{job_similarities_7488914-out/hex_lev-0.9386--1timeseries7266845} +% \caption{Rank 2, SIM=94\%} +% \end{subfigure} +% \begin{subfigure}{0.3\textwidth} +% \centering +% \includegraphics[width=\textwidth]{job_similarities_7488914-out/hex_lev-0.9375--2timeseries7214657} +% \caption{Rank 3, SIM=94\%} +% \end{subfigure} +% \begin{subfigure}{0.3\textwidth} +% \includegraphics[width=\textwidth]{job_similarities_7488914-out/hex_lev-0.7251--14timeseries4341304} +% \caption{Rank 15, SIM=73\%} +% \end{subfigure} +% % \begin{subfigure}{0.3\textwidth} +% % \centering +% % \includegraphics[width=\textwidth]{job_similarities_7488914-out/hex_lev-0.1657--99timeseries8036223} +% % \caption{Rank 100, SIM=17\%} +% % \end{subfigure} +% +% \caption{Job-L with HEX\_lev, selection of similar jobs} +% \label{fig:job-L-hex-lev} +% \end{figure} \begin{figure}[bt] @@ -917,11 +946,11 @@ The KS algorithm finds 71 jobs ending with t127, which is a typical model config \includegraphics[width=\textwidth]{job_similarities_7488914-out/hex_native-0.8708--14timeseries4936553} \caption{Rank 15, SIM=87\%} \end{subfigure} -\begin{subfigure}{0.3\textwidth} -\centering -\includegraphics[width=\textwidth]{job_similarities_7488914-out/hex_native-0.1695--99timeseries7942052} -\caption{Rank 100, SIM=17\%} -\end{subfigure} +% \begin{subfigure}{0.3\textwidth} +% \centering +% \includegraphics[width=\textwidth]{job_similarities_7488914-out/hex_native-0.1695--99timeseries7942052} +% \caption{Rank 100, SIM=17\%} +% \end{subfigure} \caption{Job-L with HEX\_native, selection of similar jobs} \label{fig:job-L-hex-native} @@ -938,10 +967,10 @@ The KS algorithm finds 71 jobs ending with t127, which is a typical model config \includegraphics[width=\textwidth]{job_similarities_7488914-out/hex_phases-1.0000--1timeseries4405671} \caption{Rank 3, SIM=100\%} \end{subfigure} -\begin{subfigure}{0.3\textwidth} -\includegraphics[width=\textwidth]{job_similarities_7488914-out/hex_phases-1.0000--2timeseries4621422} -\caption{Rank 15, SIM=100\%} -\end{subfigure} +% \begin{subfigure}{0.3\textwidth} +% \includegraphics[width=\textwidth]{job_similarities_7488914-out/hex_phases-1.0000--2timeseries4621422} +% \caption{Rank 15, SIM=100\%} +% \end{subfigure} \begin{subfigure}{0.3\textwidth} \centering \includegraphics[width=\textwidth]{job_similarities_7488914-out/hex_phases-1.0000--99timeseries4232293}