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#todo | ||
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* [ ] add figures for timeseries, RSSs, RPs, and RQA | ||
Fri 14 Sep 12:01:30 BST 2018 | ||
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%******************************************************************************* | ||
%****************************** Appendix E ************************************* | ||
%******************************************************************************* | ||
\chapter{Additional results for HHI experiment} \label{appendix:e} | ||
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%% **************************** Define Graphics Path ************************** | ||
%\graphicspath{{chapter7/figs/raster/}{chapter7/figs/PDF/}{chapter7/figs/}} | ||
\graphicspath{{figs/chapter6/PDF/}} | ||
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\LaTeX .cls files can be accessed system-wide when they are placed in the | ||
<texmf>/ tex/ latex directory, where <texmf> is the root directory of the user’s | ||
\TeX installation. | ||
On systems that have a local texmf tree (<texmflocal>), which | ||
may be named ``texmf-local'' or ``localtexmf'', it may be advisable to install | ||
packages in <texmflocal>, rather than <texmf> as the contents of the former, | ||
unlike that of the latter, are preserved after the \LaTeX system is reinstalled | ||
and/or upgraded. | ||
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\section{Time Series} \label{appendix:e:ts} | ||
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\section{Embedding parameters} \label{appendix:e:ep} | ||
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%%---------------------------------(FIGURE)------------------------------------- | ||
%\begin{figure}[!h] | ||
\begin{figure} | ||
\centering | ||
\includegraphics[width=1.0\textwidth]{cao_aHw10} | ||
\caption{ | ||
{\bf Minimum embedding dimensions for horizontal arm movements.} | ||
(A, B) Horizontal Normal (HN), (C, D) Horizontal Faster (HF) | ||
movements, | ||
(A, C) sensor attached to participants (HS01), and | ||
(B, D) sensor attached to robot (RS01). | ||
Minimum embedding dimensions are for twenty participants | ||
(p01 to p20) with three smoothed signals | ||
(sg0zmuvGyroZ, sg1zmuvGyroZ and sg2zmuvGyroZ) | ||
and window lenght of 10-sec (500 samples). | ||
R code to reproduce the figure is available | ||
from \cite{hwum2018}. | ||
} | ||
\label{fig:caoH} | ||
\end{figure} | ||
%%---------------------------------(FIGURE)------------------------------------ | ||
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%%---------------------------------(FIGURE)------------------------------------- | ||
%\begin{figure}[!h] | ||
\begin{figure} | ||
\centering | ||
\includegraphics[width=1.0\textwidth]{cao_aVw10} | ||
\caption{ | ||
{\bf Minimum embedding dimensions for vertical arm movements.} | ||
(A, B) Vertical Normal (VN), (C, D) Vertical Faster (VF) | ||
movements, | ||
(A, C) sensor attached to participants (HS01), and | ||
(B, D) sensor attached to robot (RS01). | ||
Minimum embedding dimensions are for twenty participants | ||
(p01 to p20) with three smoothed signals (sg0zmuvGyroY, | ||
sg1zmuvGyroY and sg2zmuvGyroY) | ||
and window length of 10-sec (500 samples). | ||
R code to reproduce the figure is available | ||
from \cite{hwum2018}. | ||
} | ||
\label{fig:caoV} | ||
\end{figure} | ||
%%---------------------------------(FIGURE)------------------------------------ | ||
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%%---------------------------------(FIGURE)------------------------------------- | ||
%\begin{figure}[!h] | ||
\begin{figure} | ||
\centering | ||
\includegraphics[width=1.0\textwidth]{ami_aHw10} | ||
\caption{ | ||
{\bf First minimum AMI values for horizontal arm movements.} | ||
(A, B) Horizontal Normal (HN), (C, D) Horizontal Faster (HF) | ||
movements, | ||
(A, C) sensor attached to participants (HS01), and | ||
(B, D) sensor attached to robot (RS01). | ||
First minimum AMI values are for twenty participants | ||
(p01 to p20) with three smoothed signals (sg0zmuvGyroZ, | ||
sg1zmuvGyroZ and sg2zmuvGyroZ) and window lenght of | ||
10-sec (500 samples). | ||
R code to reproduce the figure is available | ||
from \cite{hwum2018}. | ||
} | ||
\label{fig:amiH} | ||
\end{figure} | ||
%%---------------------------------(FIGURE)------------------------------------ | ||
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%%---------------------------------(FIGURE)------------------------------------- | ||
%\begin{figure}[!h] | ||
\begin{figure} | ||
\centering | ||
\includegraphics[width=1.0\textwidth]{ami_aVw10} | ||
\caption{ | ||
{\bf First minimum AMI values for vertical arm movements.} | ||
(A, B) Vertical Normal (VN), (C, D) Vertical Faster (VF) | ||
movements, | ||
(A, C) sensor attached to participants (HS01), and | ||
(B, D) sensor attached to robot (RS01). | ||
First minimum AMI values are for twenty participants | ||
(p01 to p20) with three smoothed signals (sg0zmuvGyroZ, | ||
sg1zmuvGyroZ and sg2zmuvGyroZ) and window lenght of | ||
10-sec (500 samples). | ||
R code to reproduce the figure is available | ||
from \cite{hwum2018}. | ||
} | ||
\label{fig:amiV} | ||
\end{figure} | ||
%%---------------------------------(FIGURE)------------------------------------ | ||
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\section{RSSs} \label{appendix:e:rsss} | ||
\section{RPs} \label{appendix:e:rps} | ||
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\section{RQAs} \label{appendix:e:rpas} | ||
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\subsection{REC values} | ||
It can be seen in Figs~\ref{fig:rec_aH} and \ref{fig:rec_aV} | ||
that REC values, representing the \% of black dots in the RPs, | ||
are more spread for HN than HF movements with time | ||
series coming from HS01 sensor. | ||
In contrast, REC values appear to be constant and present little variation | ||
for both HN and HF movements with time series from the sensor attached | ||
to the humanoid robot RS01. | ||
With regard to the increase of smoothness of time series | ||
(sg0zmuvGyroZ, sg1zmuvGyroZ and sg2zmuvGyroZ), REC values present little | ||
variation as the smoothness is increasing for time series from HS01 and | ||
REC values more similar as the smoothness is increasing for data from RS01. | ||
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%%---------------------------------(FIGURE)------------------------------------- | ||
\begin{figure}[!h] | ||
\centering | ||
\includegraphics[width=1.0\textwidth]{rec_aH} | ||
\caption{ | ||
{\bf REC values for horizontal arm movements.} | ||
REC values (representing \% of black dots in the RPs) for | ||
20 participants performing HN and HF movements | ||
with sensors HS01, RS01 and three smoothed-normalised axis | ||
of GyroZ (sg0zmuvGyroZ, sg1zmuvGyroZ and sg2zmuvGyroZ). | ||
REC values were computed with | ||
embedding parameters $m=6$, $\tau=8$ and $\epsilon=1$ | ||
R code to reproduce the figure is available from \cite{hwum2018}. | ||
} | ||
\label{fig:rec_aH} | ||
\end{figure} | ||
%%---------------------------------(FIGURE)------------------------------------ | ||
%%---------------------------------(FIGURE)------------------------------------- | ||
\begin{figure}[!h] | ||
\centering | ||
\includegraphics[width=1.0\textwidth]{rec_aV} | ||
\caption{ | ||
{\bf REC values for vertical arm movements.} | ||
REC values (representing \% of black dots in the RPs) for | ||
20 participants performing VN and VF movements | ||
with sensors HS01, RS01 and three smoothed-normalised axis | ||
of GyroY (sg0zmuvGyroY, sg1zmuvGyroY and sg2zmuvGyroY). | ||
REC values were computed with | ||
embedding parameters $m=6$, $\tau=8$ and $\epsilon=1$. | ||
R code to reproduce the figure is available from \cite{hwum2018}. | ||
} | ||
\label{fig:rec_aV} | ||
\end{figure} | ||
%%---------------------------------(FIGURE)------------------------------------ | ||
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\subsection{DET values} | ||
DET values, representing predictability and organisation of the RPs, | ||
change very little even for type of movement and type of sensor | ||
(Figs~\ref{fig:det_aH} and \ref{fig:det_aV}). | ||
With regard to the smoothness of time series, DET values appear | ||
to be more similar as the smoothness of the time series is increasing. | ||
%%---------------------------------(FIGURE)------------------------------------- | ||
\begin{figure}[!h] | ||
\centering | ||
\includegraphics[width=1.0\textwidth]{det_aH} | ||
\caption{ | ||
{\bf DET values for horizontal arm movements.} | ||
DET values (representing predictability and organisation of the RPs) | ||
for 20 participants performing HN and HF movements | ||
with sensors HS01, RS01 and three smoothed-normalised axis | ||
of GyroZ (sg0zmuvGyroZ, sg1zmuvGyroZ and sg2zmuvGyroZ). | ||
DET values were computed with | ||
embedding parameters $m=6$, $\tau=8$ and $\epsilon=1$. | ||
R code to reproduce the figure is available from \cite{hwum2018}. | ||
} | ||
\label{fig:det_aH} | ||
\end{figure} | ||
%%---------------------------------(FIGURE)------------------------------------ | ||
%%---------------------------------(FIGURE)------------------------------------- | ||
\begin{figure}[!h] | ||
\centering | ||
\includegraphics[width=1.0\textwidth]{det_aV} | ||
\caption{ | ||
{\bf DET values for vertical arm movements.} | ||
DET values (representing predictability and organisation of the RPs) | ||
for 20 participants performing VN and VF movements | ||
with sensors HS01, RS01 and three smoothed-normalised axis | ||
of GyroY (sg0zmuvGyroY, sg1zmuvGyroY and sg2zmuvGyroY). | ||
DET values were computed with | ||
embedding parameters $m=6$, $\tau=8$ and $\epsilon=1$. | ||
R code to reproduce the figure is available from \cite{hwum2018}. | ||
} | ||
\label{fig:det_aV} | ||
\end{figure} | ||
%%---------------------------------(FIGURE)------------------------------------ | ||
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\subsection{RATIO values} | ||
RATIO values, representing dynamic transitions, for both horizontal and | ||
vertical movements (Figs~\ref{fig:ratio_aH} and \ref{fig:ratio_aV}) | ||
vary less for HN movements than HF movements for HS01 sensor | ||
which is a similar behaviour of RATIO values for RS01 sensor. | ||
It can also noticed a decrease of variation in RATIO values as the | ||
smoothness of the time series is increasing. | ||
%%---------------------------------(FIGURE)------------------------------------- | ||
\begin{figure}[!h] | ||
\centering | ||
\includegraphics[width=1.0\textwidth]{ratio_aH} | ||
\caption{ | ||
{\bf RATIO values for horizontal arm movements.} | ||
RATIO (representing dynamic transitions) for | ||
20 participants performing HN and HF movements | ||
with sensors HS01, RS01 and three smoothed-normalised axis | ||
of GyroZ (sg0zmuvGyroZ, sg1zmuvGyroZ and sg2zmuvGyroZ). | ||
RATIO values were computed with | ||
embedding parameters $m=6$, $\tau=8$ and $\epsilon=1$. | ||
R code to reproduce the figure is available from \cite{hwum2018}. | ||
} | ||
\label{fig:ratio_aH} | ||
\end{figure} | ||
%%---------------------------------(FIGURE)------------------------------------ | ||
%%---------------------------------(FIGURE)------------------------------------- | ||
\begin{figure}[!h] | ||
\centering | ||
\includegraphics[width=1.0\textwidth]{ratio_aV} | ||
\caption{ | ||
{\bf RATIO values for vertical arm movements.} | ||
RATIO (representing dynamic transitions) for | ||
20 participants performing VN and VF movements | ||
with sensors HS01, RS01 and three smoothed-normalised axis | ||
of GyroY (sg0zmuvGyroY, sg1zmuvGyroY and sg2zmuvGyroY). | ||
RATIO values were computed with | ||
embedding parameters $m=6$, $\tau=8$ and $\epsilon=1$. | ||
R code to reproduce the figure is available from \cite{hwum2018}. | ||
} | ||
\label{fig:ratio_aV} | ||
\end{figure} | ||
%%---------------------------------(FIGURE)------------------------------------ | ||
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\subsection{ENTR values} | ||
ENTR values, representing the complexity of the deterministic structure | ||
of the time series, for both horizontal and vertical movements | ||
(Figs~\ref{fig:entr_aH} and \ref{fig:entr_aV}) show more variation | ||
for HS01 sensor than ENTR values for RS01 sensor which appear | ||
to be more constant. | ||
Generally, it can also be said that the smoothness of time series affects | ||
little to the variation of ENTR values. | ||
%%---------------------------------(FIGURE)------------------------------------- | ||
\begin{figure}[!h] | ||
\centering | ||
\includegraphics[width=1.0\textwidth]{entr_aH} | ||
\caption{ | ||
{\bf ENTR values for horizontal arm movements.} | ||
ENTR values (representing the complexity of the deterministic | ||
structure in time series) for | ||
20 participants performing HN and HF movements | ||
with sensors HS01, RS01 and three smoothed-normalised axis | ||
of GyroZ (sg0zmuvGyroZ, sg1zmuvGyroZ and sg2zmuvGyroZ). | ||
ENTR values were computed with | ||
embedding parameters $m=6$, $\tau=8$ and $\epsilon=1$. | ||
R code to reproduce the figure is available from \cite{hwum2018}. | ||
} | ||
\label{fig:entr_aH} | ||
\end{figure} | ||
%%---------------------------------(FIGURE)------------------------------------ | ||
%%---------------------------------(FIGURE)------------------------------------- | ||
\begin{figure}[!h] | ||
\centering | ||
\includegraphics[width=1.0\textwidth]{entr_aV} | ||
\caption{ | ||
{\bf ENTR values for vertical arm movements.} | ||
ENTR values (representing the complexity of the deterministic | ||
structure in time series) for | ||
20 participants performing VN and VF movements | ||
with sensors HS01, RS01 and three smoothed-normalised axis | ||
of GyroY (sg0zmuvGyroY, sg1zmuvGyroY and sg2zmuvGyroY). | ||
ENTR values were computed with | ||
embedding parameters $m=6$, $\tau=8$ and $\epsilon=1$. | ||
R code to reproduce the figure is available from \cite{hwum2018}. | ||
} | ||
\label{fig:entr_aV} | ||
\end{figure} | ||
%%---------------------------------(FIGURE)------------------------------------ | ||
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