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SVM.bra
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{SVM.bra
Script for training an SVM classifier of head movements and for prediction
of head movements in a test file.
Produces a LateX table.
Before running this script, edit or inspect the first lines, where
the following variables are set:
relativePathToAnvilWorkingDirectory
anvil-file.train
anvil-file.test
speaker
observables
numbers
interval
before
movementType
To run this script, download, install and run Bracmat (https://github.com/BartJongejan/Bracmat)
and then, after the Bracmat promt, type
{?} get$"SVM.bra"
}
X=
(relativePathToAnvilWorkingDirectory="../")
( anvil-file
= (train="video/M1_M5-all-final-facetracker.anvil")
( test
= "bra/M1_F4-all-final-facetracker.any-vaj-rdXY-XY.pred.NodJerkHeadBackwardHeadForward-vaj-rdXY.anvil"
)
(test="video/M1_F4-all-final-facetracker.anvil")
)
(speaker=SpeakerA)
(observables=velocity acceleration jerk)
(numbers=radius direction X Y)
(numbers=X Y)
(interval=(start=-1) (end=-1))
(before=faceV)
( movementType
=
=
| Waggle
| Tilt
| SideTurn
| HeadOther
| Shake
)
( movementType
=
= Nod
| Jerk
| HeadBackward
| HeadForward
)
(movementType==?any)
( specification
= ?A
( annotation-spec
. ?attA
, ?B
( body
. ?attB
, ?C
( group
. ?attC (name.!Speaker) ?attD
, ?F
( track-spec
. ?attF (name.!trackName) ?attG,?G
)
?H
)
?I
)
?J
)
?K
)
( nameAddition
= nm insp a z
. ( insp
= a b
. '$arg:(==?a_?b)
& insp$('$a)
& insp$('$b)
| !nm !(arg.):?nm
)
& :?nm
& insp$!(its.movementType)
& ( acro
= o c
.
& str$(!nm "-"):?nm
& whl
' ( !arg:@(%:%?o ?c) ?arg
& !nm !o:?nm
& ( @(!c:? (%@?o&upp$!o:!o) ?)
& !nm !o:?nm
|
)
)
& str$!nm:?nm
)
& acro$!(its.observables)
& acro$!(its.numbers)
& whl
' ( @( !nm
: ?a
( "?"
| "%"
| "*"
| \"
| "'"
| "$"
| "&"
| "/"
| "\\"
| "["
| "]"
| "{"
| "}"
| "|"
| "="
| "~"
| "`"
| "+"
| "^"
| ":"
| ";"
| ","
| "<"
| ">"
| "!"
)
?z
)
& str$(!a !z):?nm
)
& !nm
)
(track=.str$(predicted- (its.nameAddition)$))
( insertPredictions
=
. ( ensureTrack
= Speaker trackName spec
, A B C F G H I J K
, attA attC attD attF attG
. ( findSpecification
= Speaker trackname spec
. !arg:(?Speaker.?trackname.?spec)
& out$(find !Speaker !trackname)
& !spec
: ?A
( annotation-spec
. ?attA
, ?B
( body
. ?attB
, ?C
( group
. ?attC
(name.!Speaker)
?attD
, ?F
( track-spec
. ?attF
(name.!trackname)
?attG
, ?G
)
?H
)
?I
)
?J
)
?K
)
& ( trackspec
=
. ( track-spec
. (name.!arg) (type.primary)
, \r\n
" "
( attribute
. (name.prediction)
(valuetype.TimestampedPoints)
, \r\n
" "
( config-spatial
.
, \r\n
" "
( connections
. (color.yellow)
(size.3)
(transparency."0.7")
(type.arrow)
,
)
\r\n
" "
( marker
. (color.black)
(filled.false)
(numbering.false)
(size.5)
(transparency."0.7")
,
)
\r\n
" "
)
\r\n
" "
)
\r\n
" "
)
\r\n
" "
)
& out$"ensureTrack called"
& !arg
: (?Speaker.?trackName.?before.?specificationFile)
& out
$ ( Speaker
!Speaker
trackName
!trackName
before
!before
specificationFile
!specificationFile
)
& get$(!specificationFile,X ML):?spec
& out$(got !specificationFile)
& nestML$!spec:?spec
& out$(specification nested)
& lst$(spec,"specification.bra",NEW)
& out
$ (Speaker !Speaker trackName !trackName before !before)
& ( findSpecification$(!Speaker.!trackName.!spec)
& out$(!trackName allready present)
& !specificationFile
| findSpecification
$ (!Speaker.!(its.before).!spec)
& out$(found !(its.before))
& !A
( annotation-spec
. !attA
, !B
( body
. !attB
, !C
( group
. !attC (name.!Speaker) !attD
, !F
trackspec$!trackName
( track-spec
. !attF
(name.!(its.before))
!attG
, !G
)
!H
)
!I
)
!J
)
!K
: ?spec
& path$!specificationFile:?PAATH
& str$(!PAATH newspec (its.nameAddition)$() ".xml")
: ?newspec
& out$(newspec !newspec)
& put$(toML$!spec,!newspec,NEW,BIN)
& out$saved
& !newspec
)
| out$(str$("Cannot open spec file " !specificationFile))
& !specificationFile
)
& !arg:(?Anvil.?P.?T)
& out$(Opening !Anvil)
& nestML$(get$(!Anvil,X ML TRM)):?xml
& out$(Opening !Anvil succeeded)
& ( !xml
: ?A1
( annotation
. ?A2
, ?A3
( head
. ?A4
, ?A5
( specification
. (src.?specificationFile),?A6
)
?A7
)
?A8
)
?A9
& out$(specification !specificationFile)
& path$!Anvil:?relpath
& out$(relpath !relpath)
& str$(!relpath !specificationFile):?XspecificationFile
& out$(specificationFile !XspecificationFile)
& ( ( ensureTrack
$ ( !(its.speaker)
. (its.track)$
. faceV
. !XspecificationFile
)
: ?XspecificationName
& ( setVideo
= F H G J C
. !arg
: ?F
(video.?G (src.?video) ?J,?C)
?H
& !F
( video
. !G (src.str$(!relpath !video)) !J
, !C
)
!H
)
& ( setVideo$!A5:?A5
| setVideo$!A7:?A7
| out$"setVideo failed"
)
& !A1
( annotation
. !A2
, !A3
( head
. !A4
, !A5
( specification
. (src.!XspecificationName),!A6
)
!A7
)
!A8
)
!A9
: ?xml
| out$(ensureTrack failed)
)
| out$("cannot open specification file " !specificationFile)
& ~
)
| out$"Cannot find name of specification file"&~
)
& lst$(xml,"xml.bra",NEW)
& :?els:?sle
& fil$(!P,r)
& fil$(,STR,\n)
& 0:?index
& whl
' ( fil$!P:(?p.?)
& !T:(?s.?e) ?T
& ( !p:1
& @(!s:?s #@?sd1 #@?sd2)
& @(!e:?e #@?ed1 #@?ed2)
& 1+!index:?index
& ( el
. (index.!index)
(start.str$(!s "." !sd1 !sd2))
(end.str$(!e "." !ed1 !ed2))
,
)
!sle
: ?sle
|
)
)
& whl
' ( !sle:%?el ?sle
& !el "\r\n " !els:?els
)
& (fil$(!P,SET,-1)|)
& str$(!(its.speaker) "." (its.track)$)
: ?speakerTrack
& out$(speakerTrack !speakerTrack)
& str$(!(its.speaker) "." !(its.before))
: ?beforeTrack
& out$(beforeTrack !beforeTrack)
& !xml
: ?A
( annotation
. ?annatt
, ?AA
( body
. ?bodyatt
, ?AAA
( track
. ?trackattA
(name.!speakerTrack)
?trackattZ
, ?ELS
)
?ZZZ
| ?AAA
( ( track
. ? (name.!beforeTrack) ?
, ?
&
: ?trackattA
: ?trackattZ
: ?ELS
)
?
: ?ZZZ
)
)
?ZZ
)
?Z
& out$FoundTrack
& !A
( annotation
. !annatt
, !AA
( body
. !bodyatt
, !AAA
( track
. !trackattA
(name.!speakerTrack)
!trackattZ
, !els
)
!ZZZ
)
!ZZ
)
!Z
: ?xml
& out$constructed
& str$(longBasename$!Anvil "." (its.nameAddition)$() ".anvil")
: ?merg
& out$(merg !merg)
& put$(toML$!xml,!merg,NEW,BIN)
& out$putted
& !merg
)
( doit
=
. ( rat
=
. get$(str$("[" !arg "]"),MEM,JSN):(,?arg)
& !arg
)
& ( path
= htap
. @( rev$!arg
: (? "/" ?htap|?&".":?htap)
)
& str$(rev$!htap "/")
)
& ( basename
= enam
. @(rev$!arg:(?enam "/" ?|?enam))
& @(rev$!enam:(?name "." ?|?name))
& !name
)
& ( longBasename
= enam
. @(rev$!arg:(?enam "/" ?|?enam))
& @(!enam:(? "." ?enam|?enam))
& rev$!enam
)
& ( overlap
= a b c d
. !arg:(?a,?b.?c,?d)
& (!a:~<!c:~>!d|!c:~<!a:~>!b)
)
& ( readFacetrackerAnnotation
= start end L R e
, dir name rho x xo y yo
, Start End
. !arg:? [?LEN
& out$(LEN !LEN "(FULL)")
& ( !(its.interval.start):?Start
& !(its.interval.end):?End
& !Start:~<0
& !Start:<!End
& !arg
: ?
( ( el
. ? (start.?start) ?
, ?&rat$!start:~<!Start
)
?
: ?arg
)
& !arg
: ?arg
( el
. ? (end.?end) ?
, ?&rat$!end:>!End
)
?
& !arg:? [?LEN
& out$(LEN !LEN "(REDUCED)")
|
)
& whl
' ( !arg
: ?
( el
. ? (start.?start) (end.?end) ?
, ( attribute
. (name.?name)
, ( point
. (time.?)
(x.?rho)
(y.?dir)
,
)
( point
. (time.?)
(x.?xo)
(y.?yo)
,
)
( point
. (time.?)
(x.?x)
(y.?y)
,
)
)
)
?arg
& get$(!rho,MEM):?rho
& get$(!dir,MEM):?dir
& get$(!xo,MEM):?xo
& get$(!x,MEM):?x
& get$(!yo,MEM):?yo
& get$(!y,MEM):?y
& ( ts$(ro$!start),ts$(ro$!end)
. !name
. !rho,!dir
. !x+-1*!xo,!y+-1*!yo
)
!L
: ?L
)
& 0:?R
& whl'(!L:%?e ?L&!e+!R:?R)
& times$
& !R
)
& (ro=.div$(100*rat$!arg+1/2,1))
& ( fix
= f d
. div$(10000*!arg+1/2,1):?arg
& ( !arg:~<100
& @(!arg:?f [-3 ?d)
& str$(!f "." !d)
| !arg:~<10&str$("0." !arg)
| str$("0.0" !arg)
)
)
& ( readHead
= start end L R e HeadMovement
. whl
' ( !arg
: ?
( el
. ? (start.?start) (end.?end) ?
, ?
( attribute
. (name.HeadMovement),?HeadMovement
)
?
)
?arg
& ( ts$(ro$!start),ts$(ro$!end)
. HeadMovement
. !HeadMovement
)
!L
: ?L
)
& 0:?R
& whl'(!L:%?e ?L&!e+!R:?R)
& times$
& !R
)
& ( readPrediction
= start end L R e what
. !arg:(?arg.?what)
& whl
' ( !arg
: ?
( el
. ? (start.?start) (end.?end) ?
, ?
)
?arg
& (ts$(ro$!start),ts$(ro$!end).!what.1)
!L
: ?L
)
& 0:?R
& whl'(!L:%?e ?L&!e+!R:?R)
& times$
& !R
)
& ( table
= Tit cols head line thead tline tlines val
. !arg:%?head ?arg
& :?thead:?cols
& whl
' ( !head:(?Tit.?head)
& !cols "| c ":?cols
& !thead "\\bf " !Tit " & ":?thead
)
& !cols "| c |":?cols
& !thead "\\bf " !head " \\\\" \n:?thead
& str$!thead:?thead
& :?tlines
& whl
' ( !arg:%?line ?arg
& ( !line:(.)
& !tlines "\\hline" \n:?tlines
| :?tline
& whl
' ( !line:(?val.?line)
& !tline !val " & ":?tline
)
& !tline !line " \\\\" \n:?tline
& !tlines !tline:?tlines
)
)
& str
$ ( "
\\begin{table}[h]
\\begin{center}
\\begin{tabular}{"
!cols
"}\n\\hline"
!thead
"\\hline\n"
!tlines
"\\hline
\\end{tabular}
\\end{center}
\\caption{\\label{test results} Several statistics obtained from training
an SVM model on one video and testing the SVM model on another video with
the same person standing on the same spot and generally facing in the same
direction. Each video is about 8 minutes long and has a rate of 25 frames per
second.}
\\end{table}
If there are no more than \\textless margin \\textgreater negative frames
between two positive frames, the negative frames are
converted to positive frames. When margin = 2 the ratio
``true positive''/``true negative'' is maximal. The accuracy, however, reaches
a maximum for a much higher value of the margin, 17 frames, or 0.68 seconds.
The input column mentions the observables that were used to train and test
an SVM model. The meaning of the letters is:
V=velocity, A=Acceleration, J=Jerk. tp=true positive, tn=true negative,
fp=false positive, fn=false negative. Positive frame=head movement predicted
for that frame, negative=no head movement predicted for that frame. Almost
exactly 1/3 of all considered frames are incorporated in manual annotations of
head movements. Accuracy=percentage correctly predicted frames (either true
positive or true negative). ``motion''= percentage of positive frames that have
been predicted positive (taking margin into account). ``no motion''= percentage
of negative frames that have been predicted negative (discounting frames that
have been turned into positive frames by taking the margin into account.) "
)
)
& ( statistics
= biglist fillUp fn fp tn tp biglist margin
, analyseFrames analyseMovements
, formattedResults
, HeadMovements movements
, A B LIST nbiglist
. ( fillUp
= margin invrt bridge s e vals next t obs
. !arg:(?margin.?biglist.?obs)
& ( !margin:>0
& :?invrt
& 0:?bridge
& whl
' ( !biglist:(?s,?e.?vals)+?biglist
& ( !vals:?+(!obs.?)+?
& !e+4*!margin:?bridge
| !biglist
: (?next+[~<!margin+?|?next)
& !next
: ?+(~>!bridge,?.?+(!obs.?)+?)+?
& (!obs.2)+!vals:?vals
| 0:?bridge
)
& (!s,!e.!vals) !invrt
: ?invrt
)
& whl
' ( !invrt:%?t ?invrt
& !t+!biglist:?biglist
)
& lst
$ ( biglist
, str$(filledUpBiglist !margin !obs)
, NEW
)
|
)
& !biglist
)
& ( analyseFrames
= biglist observables fn fp tn tp
, HeadMovements cp
, t vals HeadMovement
, A SumPi SumFi Z
, SumPi2 SumMi min max Fi
. !arg:(?biglist.?observables)
& 0:?fn:?fp:?tn:?tp
& 0:?HeadMovements:?cp
& whl
' ( !biglist:(?t.?vals)+?biglist
& ( !vals:?+(HeadMovement.?HeadMovement)+?
| "(no movement)":?HeadMovement
)
& ( !HeadMovements
: ?A
+ ( !HeadMovement
. (?SumPi.?SumFi)
, (?SumPi2.?SumMi)
, (?min.?max)
)
+ ?Z
& !A+!Z:?HeadMovements
| 0
: ?SumPi
: ?SumFi
: ?SumPi2
: ?SumMi
: ?max
: ?Fi
& 100000000:?min
)
& 1+!SumFi:?SumFi
& 1+!Fi:?Fi
& ( !vals:?+(!observables.?)+?
& ( !HeadMovement:"(no movement)"
& 1+!fp:?fp
| 1+!tp:?tp
& 1+!cp:?cp
)
| !HeadMovement:"(no movement)"
& 1+!tn:?tn
& 1+!cp:?cp
| 1+!fn:?fn
)
& ( !biglist
: (?.?+(HeadMovement.!HeadMovement)+?)+?
| !SumPi2+!cp^2:?SumPi2
& !SumPi+!cp:?SumPi
& 1+!SumMi:?SumMi
& ( !cp*!Fi^-1:>!max:?max
|
)
& ( !cp*!Fi^-1:<!min:?min
|
)
& 0:?cp:?Fi
)
& ( !HeadMovement
. (!SumPi.!SumFi)
, (!SumPi2.!SumMi)
, (!min.!max)
)
+ !HeadMovements
: ?HeadMovements
)
& lst
$ ( HeadMovements
, str$(!observables "HeadMovements.bra")
, NEW
)
& (!HeadMovements.!fn.!fp.!tn.!tp)
)
& ( analyseMovements
= movements HeadMovements SumPi SumFi SD2
, SumPi2 SumMi min max
, movements HeadMovement obser
. !arg:(?HeadMovements.?obser)
& 0:?movements
& whl
' ( !HeadMovements
: ( ?HeadMovement
. (?SumPi.?SumFi)
, (?SumPi2.?SumMi)
, (?min.?max)
)
+ ?HeadMovements
& !SumFi^-2*(!SumMi*!SumPi2+-1*!SumPi^2)
: ?SD2
& ( fix$(!SumPi*!SumFi^-1)
. !HeadMovement
. !SumMi
. !SumFi
. !SumPi
. !SumPi2
. fix$(sqrt$!SD2)
. fix$!min
. fix$!max
)
+ !movements
: ?movements
)
& lst
$ ( movements
, str$(HeadMovements !margin !obser)
, NEW
, RAW
)
& !movements
)
& ( sanityCheck
= HeadMovements SumPi SumFi
, SumPi2 SumMi min max
, HeadMovement obser
, F P
. !arg:(?HeadMovements.?obser)
& 0:?P:?F
& whl
' ( !HeadMovements
: ( ?HeadMovement
. (?SumPi.?SumFi)
, (?SumPi2.?SumMi)
, (?min.?max)
)
+ ?HeadMovements
& !SumPi+!P:?P
& !SumFi+!F:?F
)
& !P !F !P*!F^-1 fix$(!P*!F^-1)
)
& ( formattedResults
= F accuracy baseline fractionHeadmovementsPredicted
, fractionSilencePredicted precision recall tot
, tp tn fp fn obs
. !arg:(?obs.?tp.?tn.?fp.?fn)
& !tp+!tn+!fp+!fn:?tot
& fix$((!tp+!tn)*!tot^-1):?accuracy
& fix$((!tn+!fp)*!tot^-1) " " (!tn+!fp)*!tot^-1
: ?baseline
& fix$(!tp*(!tp+!fn)^-1)
: ?fractionHeadmovementsPredicted
& fix$(!tn*(!tn+!fp)^-1)
: ?fractionSilencePredicted
& fix$(!tp*(!tp+!fp)^-1):?precision
& fix$(!tp*(!tp+!fn)^-1):?recall
& fix$(2*!tp*(!tp+!fp)^-1*!tp*(!tp+!fn)^-1)
: ?F
& ( ( !obs
. !margin
. !tp
. !tn
. !fp
. !fn
. !accuracy
. !fractionHeadmovementsPredicted
. !fractionSilencePredicted
. fix$(1/100*!tp*!fp^-1)
)
, ( !obs
. !margin
. !tp
. !tn
. !fp
. !fn
. !accuracy
. !precision
. !recall
. !F
)
)
)
& ( analy
= biglist obs bev LL RR length A B
, F M SD2 avgPi
. ( filter
= A B LL
. !arg:(?biglist.?bev)
& :?LL
& whl
' ( !biglist
: ?
+ ( (?.?+(HeadMovement.!bev)+?)+?
: ?B
)
& !B
: ?A
+ ( (?.?+(HeadMovement.~!bev)+?)+?
: ?biglist
)
& !A !LL:?LL
& :?A:?B
)
& !B !LL
)
& ( getFandM
= F M LL A B length
. !arg:?LL
& 0:?F:?M
& whl
' ( !LL:%?A ?LL
& 0:?length
& whl
' ( !A:%?B+?A
& 1+!length:?length
)
& 1+!M:?M
& !length+!F:?F
)
& (!F.!M)
)
& ( AVG
= SumPi A LL B obs M avgPi Pi
. !arg:(?LL,?obs,?M,?F)
& 0:?SumPi
& whl
' ( !LL:%?A ?LL
& 0:?Pi
& whl
' ( !A:%?B+?A
& ( !B:(?.?+(!obs.?)+?)
& ( !bev:"(no movement)"
| 1+!Pi:?Pi
)
| !bev:"(no movement)"
& 1+!Pi:?Pi
|
)
)
& !M*!F^-1*!Pi+!SumPi:?SumPi
)
& !SumPi*!M^-1:?avgPi
& !avgPi
)
& ( getSD2
= SD2 totX2 RR A B Pi M F avgPi
. !arg:(?RR.?obs.?M.?F.?avgPi)
& 0:?totX2
& whl
' ( !RR:%?A ?RR
& 0:?Pi
& whl
' ( !A:%?B+?A
& ( !B:(?.?+(!obs.?)+?)
& ( !bev:"(no movement)"
| 1+!Pi:?Pi
)
| !bev:"(no movement)"
& 1+!Pi:?Pi
|
)
)
& (!M*!F^-1*!Pi+-1*!avgPi)^2+!totX2
: ?totX2
)
& !totX2*!M^-1:?SD2
& !SD2
)
& !arg:(?biglist.?obs.?bev)
& filter$(!biglist.!bev):?LL
& getFandM$!LL:(?F.?M)
& lst$(LL,str$(LL !obs !bev),RAW,NEW)
& AVG$(!LL,!obs,!M,!F):?avgPi
& getSD2$(!LL.!obs.!M.!F.!avgPi):?SD2
& ( !avgPi
. !bev
. !M
. !F
. !SD2
. fix$!avgPi
. fix$(sqrt$!SD2)
)
)
& ( analyAll
= LIST
obs
biglist
mv
F
M
SD2