brain2013 posterweb.eecs.umich.edu/~dkoutra/papers/are_all_brains_wired...Title brain2013_poster.ppt...
Transcript of brain2013 posterweb.eecs.umich.edu/~dkoutra/papers/are_all_brains_wired...Title brain2013_poster.ppt...
!"#$!%%$$&"'()*$+("#,$-./'%%01$!"#"$%&'()*"+%%%%%%%%%%%%%%%%%%%%,(%-'#.+%%%%%%%%%%%%%%%%%%/012$*"%345"#6%%%%%%%%%%%%%%%%%307%8(#.6%%%%%%%%%%%%%%%%8'92("%:;%<'.0=9)0$#>%%%%%%%%%%%%%%%?2*$9)'9%@"='()9'9+%%%%%%%%%%
!!!!!!!!!!!!!!!"#$#%&'()'*+),"+!!!!!!!!!!-%./%0#).1$.2+&.*#%3)'1*!!!!!!!!!(/2*#$&+$*),"+!!!!!!!!!!!!!/4+$.&(#3+")+$*),"+!!!!!!!!!!!!!!!!!4151&(6#6)"+7,),"+!!!!!!!!!!!!!!!!!!!!!!!!!!!'8/%(61(&'()'*+),"+!
!"#$%&'()'!*'++,&!-&).'%/)01 ! ! !!2-&).'%/)01!,3!4'5!*'6)7,! !89:;'!-&).'%/)01%
234(5'4(3)!• 91$$,'61*%'(!::!'/,#01$!1;!</#%$!'1$$,'05%62!*#-()!!!
• =$#32>%$.!68,!'1$$,'61*,(!61!!+$",/(6#$"!81?!68,!</#%$!;+$'01$()!!
• =/,!68,/,!"%@,/,$',(!!<,6?,,$!"%@,/,$6!-,1-3,A!• B,*#3,!5()!*#3,!
• C%.8!*#68!(7%33(!5()!$1/*#3!
• =/0(6(!5()!('%,$0(6(D!• =/,!#33!-#/6(!1;!68,!</#%$!'1$$,'6,"!(%*%3#/32A!
• E,F!8,*%(-8,/,!
• G%.86!8,*%(-8,/,!!!
-67#"(8#)4'%$9#*/%4*$
2#4:3,3%3;0$$
<=><?@AB=>A$
H %A'B0=%"11*'"C2I!!#$#32>,!%$5#/%#$6(!1;!$+*,/1+(J!<%.:('#3,!</#%$!./#-8(!
K'1$$,'61*,(L!%$!1/",/!61!"1!'3+(6,/%$.!#$"!'3#((%M'#01$)!
H DE090*B"F'#9I!! N8,!(%>,!K$+*<,/!1;!,".,(LJ!#(!?,33!#(!68,!*#O%*+*!,%.,$5#3+,(!1;!68,!</#%$!
./#-8(!"%@,/!(%.$%M'#$632!<,6?,,$!*#3,(!#$"!;,*#3,()!
! N8,!",./,,!"%(6/%<+01$J!#$"!68,!$+*<,/!1;!6/%#$.3,(!#/,!;,#6+/,(!68#6!'#$!
'1$6/%<+6,!61?#/"(!68,!'3#((%M'#01$!1;!68,!('#$(!<2!.,$",/)!
C'4'*#4$
=/"$!77"3'D:
1
2
• P'#3#/!B,#6+/,(!=$#32(%(!!① $+*<,/!1;!$1",(!
② $+*<,/!1;!,".,(!
③ 3#/.,(6!,%.,$5#3+,!④ $+*<,/!1;!6/%#$.3,(!!
⑤ $+*<,/!1;!'1$$,'6,"!!
!!'1*-1$,$6(!
⑥ *#O%*+*!-#.,/#$7!
⑦ *%$%*+*!-#.,/#$7!
• Q,'61/!B,#6+/,(!!① ",./,,!"%(6/%<+01$!② -#.,/#$7!"%(6/%<+01$!!③ /#"%+(!"%(6/%<+01$!!④ #--/1O%*#6,!/#"%+(!"%(6/%<+01$!
⑤ M/(6!$:68!,%.,$5#3+,(!"%(6/%<+01$!!!⑥ 6/%#$.3,!"%(6/%<+01$!!
A4#7$EF$&"'()$C(GG#"#)D#$$
FG =
…
• 91$$,'61*,(!1;!!RRS!-,1-3,!
• T<6#%$,"!<2!U+30*1"#3!U#.$,0'!G,(1$#$',!V*#.%$.!KUGVL!
• W#'8!'1$$,'61*,!%(!/,-/,(,$6,"!#(!!+$?,%.86,"!#$"!
+$"%/,'6,"!./#-8)!
• Q1O,3(X$1",(I!SYZ[:YR\[!• 91$$,'01$(X,".,(I!Y)RSU:R])SZU!
• =^/%<+6,(!-,/!-,/(1$I!#.,J!.,$",/J!V_J!'/,#05%62!%$",OJ!D!• N1137%6!
• `Wa=PbP!• c,6?1/7O!
C#;"##$C(*4"(H/4(3)$<)%/0!./=!/'7,&>!?%)&7)?$+!7,@?,&'&0!,3!0A'!@$0%)6!B%$)&!/7$&!C!&,>'D>'(%''D>)/0%=!!
DE90*B"F'#I!!N8,!,O6/,*,!'#(,(!1;!;,*#3,!#$"!*#3,!'1$$,'61*,(!#/,!
?,33! (,-#/#6,")!C1?,5,/J! 68,!",./,,!"%(6/%<+01$!'#$$16!
(,-#/#6,!'1$$,'61*,(!?)/)6)!68,!*#(6,/2!1;!*#68)!I"(');%#*$J%34*$
DE90*B"F'#I!N/%#$.3,! "%(6/%<+01$! '#$$16! (,-#/#6,! 68,! ./1+-()!
N16#3!d!1;!6/%#$.3,(!5()!d!1;!,".,(!'#$!8,3-!(,-#/#6,!
;,*#3,(! ;/1*! *#3,(J! <+6! '#$$16! "%(0$.+%(8! 68,!
./1+-(!?)/)6)!68,!3,5,3!1;!*#68!(7%33()!
<3))#D4#,$<3873)#)4*$$
DE90*B"F'#9I!RL! N8,! "%(6/%<+01$! 1;! '1$$,'6,"! '1*-1$,$6(!
G'09%#')!"%@,/!(%.$%M'#$632!<,6?,,$!*#3,(!#$"!
;,*#3,()!
ZL! N8,! d1;! ,".,(! 5()! $1",(! %$! 68,! .%#$6!
'1$$,'6,"! '1*-1$,$6! 1;! ,#'8! '1$$,'61*,!
/,5,#3(!6?1!'3+(6,/(!'1//,(-1$"%$.!61!*#3,(!#$"!
;,*#3,()!?'";#*4$-(;#)5'%/#$3G$$K"'7:$2'4"(6$$
9#G#"#)D#*$H a/#2!eJ!f1.15%'!g=JQ1.,3(6,%$!gNJ!E#$"*#$!f=J!`/%$',gEJ!Q1.,3(6,%$!GgJ!hU#.$,0'!/,(1$#$',!
'1$$,'61*,!#+61*#6,"!-%-,3%$,I=$!15,/5%,?hJ!`+3(,J!VWWWJ!513)!iJ!$1)!ZJ!--)!SZSjJ!ZkRZ)!!
H [#$.!bJ!N(1+/#7#7%(!9J!B#31+6(1(!9)J!h`Wa=PbPI!=!`,6#:P'#3,!a/#-8!U%$%$.!P2(6,*!:
V*-3,*,$6#01$!#$"!T<(,/5#01$()hJ!VWWW!V$6,/$#01$#3!91$;,/:,$',!1$!l#6#!U%$%$.!KV9lULJ!
U%#*%J!B31/%"#J!bP=J!ZkkY)!
H*"$#%-*"12%/2"B$#.%
@0")(*0%07)*"CF'#%%
...
...
1 2 m . . . 3 1 2 . . . n
graphs
Useful features
Connectomics
a/#-8(!#/,!
• +$?,%.8,"!!• +$"%/,'6,"!
Manually divide the graphs into different groups according to labeled attributes
p-value significance
Plot the different invariants and test whether they help distinguish the groups (e.g., female/male).
...
...
1 2 d . . . 3 1 2 . . . n
graphs
the single vector feature
nxk
U kxk
Left singular vectors
ui S si
Singular values
kxd
vi
Right singular vectors
VT
u1 u2
ALC$
J%34$3/4$/E$LA$/M$$
u1
u2
u1
u2
N8,! ;,#6+/,! '#$$16! "%(0$.+%(8!
"%@,/,$6!./1+-(!!
Possible conclusion 1 N8,!;,#6+/,!'1$6/%<+6,(!%$!
-/,"%'0$.!68,!./1+-!*,*<,/(8%-()!
Possible conclusion 2
J"#%(8()'"(#*$$$
- 114 connectomes in total - Groups divided in two ways: R) a,$",/!
mk!;,*#3,(I!/,"!"16(!#$"!!
\S!*#3,(I!./,,$!"16(!
Z) P+<4,'6!N2-,I!!n!E,5,3!1;!*#68!(7%33(!
c1/*#3I!./,,$!"16(!!
E1?I!/,"!"16(!
C%.8I!<3+,!"16(
u1 VS u2 of the matrix of the connected components distribution
N8/,(813"!1$!
68,!,".,!
?,%.86(!61!
/,*15,!$1%(,)!
C/N#$@)(5#"*(40$
@)(5#"*(40$3G$$>#O$2#6(D3$
N8,!6?1!.,$",/(!"%@,/!(%.$%M'#$632!%$!68%(!
;,#6+/,!KZ:(#*-3,!6:6,(6I!-:5#3+,!k)kkkZL)
Graph analysis Wo'%,$6!%$!
(,-#/#0$.!
"%@,/,$6!
./1+-(