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some more proof of the intro
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report/discussion.tex

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One way could be analyse the sleep structure of two groups of animals for which differences were already found, and quantify how much more, or less,
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difference is found using automatic scoring.
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Data from difernet intrument/ animals/ labs will be needed to generate a ubicuitous predictor.
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It is expected that non linear interaction araise, so RF will help ;)
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RF feature discovery
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\section{Conclusion}
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report/intro.tex

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\section{Introduction} \label{intro}
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\TODO{fig 2: rasterize}
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\TODO{fig 2: smaler coeff text}
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\TODO{remover a lot from mat and met}
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\TODO{fix he large number of subsecions}
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\TODO{fix benchmark table reorder}
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\TODO{wake vs awake}
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\TODO{conclusion should do more justice}
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Sleep is considered to be a ubiquitous and necessary behaviour amongst animals.
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However, its real physiological functions remain debated.
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In vertebrate, electrophysiological recordings, in particular, \gls{eeg},
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but also \gls{emg} and \gls{eog} have extensively used to study the structure of sleep during the last century.
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They have the advantage of being non-invasive an relatively high throughput.
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Today, \gls{eeg} remains one of the main assess in the study sleep physiology.
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Today, \gls{eeg} remains one of the main asset in the study sleep physiology.
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Rodents models, in particular mice and rats, have proved very successful model for understanding of the mechanisms of sleep in mammals.
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Classically, three main types of sleep related behaviours are defined and referred as \emph{vigilance states}.
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Rodents, in particular mice and rats, have proved very successful model for understanding of the mechanisms of sleep in mammals.
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Classically, three main distinct types of sleep related behaviours: wakefulness, \gls{nrem} sleep and \gls{rem}
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sleep are referred as \emph{vigilance states}.
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Vigilance states are usually defined on the basis of \gls{eeg} and \gls{emg} (fig.~\ref{fig:sleep_description}).
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When awake (WAKE), an animal tends to have a high muscular activity which translates as a high amplitude voltage changes in the \gls{emg}.
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When awake (WAKE), animals tend to have a high muscular activity which translates as a high amplitude voltage changes in the \gls{emg}.
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During wakefulness, \gls{eeg} is dominated by a relatively low amplitude oscillations of frequency
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between six and ten hertz often referred as theta waves.
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In contrast, \gls{nrem} sleep, also called slow wave sleep, is a period of muscular inactivity (low \gls{emg})
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dominated by slow oscillations (below 4Hz) of high amplitude named delta waves.
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The third state, \gls{rem} sleep, is characterised by a complete lack of muscular activity (atony) and an \gls{eeg} activity very similar to the awake state.
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\gls{rem} sleep is the least prevalent of all three stages, and generally represents generally 20\% of all sleeping time.
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The prevalence of these three states as well as there structural succession are extremely important observations in sleep research
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\gls{rem} sleep is the least prevalent of all three stages, and represents generally 20\% of all sleeping time.
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The prevalence of these three states as well as their temporal organisation are extremely important observations in sleep research
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\input{./figures/sleep_description}
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Although definitions of sleep stages appear straightforward, in practice, many cases are ambiguous.
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For instance, it is difficult to characterise transitions between two states.
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In addition, there are many sources of variability including how surgery was performed by the experimenter, the type of recorder used and inter-animal variability.
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In addition, there are many sources of variability including how surgery was performed, the type of instrument used and inter-animal variability.
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The quality of the acquisition can also be made considerably worst by noisy signals or by the presence of artefacts.
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For these reasons, sleep scoring, the attribution of discrete vigilance states to electrophysiological time series,
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For these reasons, sleep scoring, \ie{} the attribution of discrete vigilance states to electrophysiological time series,
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is traditionally performed by trained human experts.
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Such manual annotation is very time consuming; several hours of work have been reported in order to score 24h of recording.
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This severely limits data throughput and human subjectivity is likely to introduce systematic bias.
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This severely limits data throughput, and human subjectivity is likely to introduce systematic bias.
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Indeed, it is expected that scoring will be performed differently by each expert, making result difficult to reproduce independently.
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Often, two experts score the same time data, in order to ensure satisfying agreement.
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Although, manual scorers are generally reported as being very consensual\citationneeded{},
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Often, two experts score the same data, in order to ensure satisfying agreement.
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Although, manual scorers are generally reported as being very consensual with each other\citationneeded{},
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it can be argued that experts most likely work in the same laboratory and trained one another, or were trained by the same third person.
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In this context, agreement between experts does not account for the variability between communities of researchers, and cannot be used to assess reproducibility.
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In order to overcome both speed and subjectivity limitations, efforts have been directed towards automation of sleep scoring.
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However, there is little adoption has occurred and very few available implementations in the form of software that biologists could use have been developed.
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However, little adoption has occurred and very few available implementations, in the form of software that biologists could use, have been developed.
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Typically, two different approaches to classification have been followed: unsupervised or supervised learning.
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Unsupervised learning has the advantage of making no assumption about the nature of the different vigilance states, and how they should be defined.
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Another approach is to assume human annotations are, although imperfect, biologically relevant and generally consistent,
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and therefore to use supervised learning techniques.
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Of course, if human decisions were biased, such a method may reproduce this bias.
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Of course, if human decisions were biased, such a method may suffer from the same bias.
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However, a vast corpus of experimental work has provided hypothesis about function of these states which tends to validate the actual `existence' of these discrete vigilance states.
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Building a classifier that would produce a consensual prediction of vigilance states could be seen as an attempt to formalised and rationalise the definition of such states.
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This would improve future research without denying decades of sleep neurobiology.
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Many supervised learning techniques ranging from SVM, ANNs, to HMMs have been investigated.
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Many supervised learning techniques such as from SVM, ANNs, to HMMs have been investigated.
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In general, the first step is to compute features on consecutive segments of annotated electrophysiological signals know as epochs.
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Then, the relation between the response variable(annotation) and the independent variables (features) can be modelled.
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Either epochs are considered to be independent from one another or time-dependent structures are explicitly modelled (\eg{} using HMMs).
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Time aware modelling has the advantage of accounting for the interdependence of consecutive epochs (see fig.~\ref{fig:sleep_description}B).
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However, it generally does not perform as well as classical classifiers when modelling non-linear relationships between large numbers of predictors.
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However, it generally does not model non-linear relationships between large numbers of predictors as well as classical classifiers.
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Recently, promising results were obtained for scoring human sleep stages by performing an exhaustive
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Recently, promising results were obtained for automatic scoring\TODO{rephrase this} of human sleep stages by performing an exhaustive
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feature extraction including variables resulting from discrete wavelet decomposition.
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Then, the authors compared several classifiers and found that random forest were, overall, the most accurate predictors.
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The study herein bases itself on these promising results by computing an even larger number of features.
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An important addition is the computation of time-aware features which significantly improved accuracy.
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An important addition was the computation of time-aware features which significantly improved accuracy.
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Furthermore, rigorous stratified cross-validation procedure and comparisons of sleep structure were performed.
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These improvement altogether contributed to achieve a very satisfying overall accuracy of 92\%.
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In order to pave the way to an implementation of an ubiquitous sleep scoring software.

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