%PDF-1.3
%
2 0 obj
<>
endobj
24 0 obj
<>>>/Subtype/Form/BBox[0 0 612 792]/Matrix [1 0 0 1 0 0]/Length 54/FormType 1/Filter/FlateDecode>>stream
xs
w3T04PI2P0T5T R
Ɩf
!\!Y\ !p )P
endstream
endobj
18 0 obj
<>>>/Subtype/Form/BBox[0 0 612 792]/Matrix [1 0 0 1 0 0]/Length 54/FormType 1/Filter/FlateDecode>>stream
xs
w3T04PI2P0T5T R
Ɩf
!\!Y\ !p )P
endstream
endobj
3 0 obj
<>>>/Subtype/Form/BBox[0 0 612 792]/Matrix [1 0 0 1 0 0]/Length 54/FormType 1/Filter/FlateDecode>>stream
xs
w3T04PI2P0T5T R
Ɩf
!\!Y\ !p )P
endstream
endobj
7 0 obj
<>>>/Subtype/Form/BBox[0 0 612 792]/Matrix [1 0 0 1 0 0]/Length 55/FormType 1/Filter/FlateDecode>>stream
xs
w3T04PI2P0T5T0P02S04S @$P5 )1
endstream
endobj
11 0 obj
<>>>/Subtype/Form/BBox[0 0 612 792]/Matrix [1 0 0 1 0 0]/Length 53/FormType 1/Filter/FlateDecode>>stream
xs
w3T04PI2P0T5T0 q-Br44C@B 9 s
(P
endstream
endobj
14 0 obj
<>>>/Subtype/Form/BBox[0 0 612 792]/Matrix [1 0 0 1 0 0]/Length 53/FormType 1/Filter/FlateDecode>>stream
xs
w3T04PI2P0T5T0 q-Br44C@B 9 s
(P
endstream
endobj
23 0 obj
<>>>/Subtype/Form/BBox[0 0 612 792]/Matrix [1 0 0 1 0 0]/Length 53/FormType 1/Filter/FlateDecode>>stream
xs
w3T04PI2P0T5T0 q-Br44C@B 9 s
(P
endstream
endobj
4 0 obj
<>>>/Subtype/Form/BBox[0 0 612 792]/Matrix [1 0 0 1 0 0]/Length 55/FormType 1/Filter/FlateDecode>>stream
xs
w3T04PI2P0T5T0P02S04S @$P5 )1
endstream
endobj
1 0 obj
<>>>/Subtype/Form/BBox[0 0 612 792]/Matrix [1 0 0 1 0 0]/Length 53/FormType 1/Filter/FlateDecode>>stream
xs
w3T04PI2P0T5T0 q-Br44C@B 9 s
(P
endstream
endobj
5 0 obj
<>>>/Subtype/Form/BBox[0 0 612 792]/Matrix [1 0 0 1 0 0]/Length 53/FormType 1/Filter/FlateDecode>>stream
xs
w3T04PI2P0T5T0 q-Br44C@B 9 s
(P
endstream
endobj
20 0 obj
<>>>/Subtype/Form/BBox[0 0 612 792]/Matrix [1 0 0 1 0 0]/Length 53/FormType 1/Filter/FlateDecode>>stream
xs
w3T04PI2P0T5T0 q-Br44C@B 9 s
(P
endstream
endobj
6 0 obj
<>>>/Subtype/Form/BBox[0 0 612 792]/Matrix [1 0 0 1 0 0]/Length 54/FormType 1/Filter/FlateDecode>>stream
xs
w3T04PI2P0T5T R
Ɩf
!\!Y\ !p )P
endstream
endobj
9 0 obj
<>>>/Subtype/Form/BBox[0 0 612 792]/Matrix [1 0 0 1 0 0]/Length 54/FormType 1/Filter/FlateDecode>>stream
xs
w3T04PI2P0T5T R
Ɩf
!\!Y\ !p )P
endstream
endobj
15 0 obj
<>>>/Subtype/Form/BBox[0 0 612 792]/Matrix [1 0 0 1 0 0]/Length 54/FormType 1/Filter/FlateDecode>>stream
xs
w3T04PI2P0T5T R
Ɩf
!\!Y\ !p )P
endstream
endobj
21 0 obj
<>>>/Subtype/Form/BBox[0 0 612 792]/Matrix [1 0 0 1 0 0]/Length 54/FormType 1/Filter/FlateDecode>>stream
xs
w3T04PI2P0T5T R
Ɩf
!\!Y\ !p )P
endstream
endobj
10 0 obj
<>>>/Subtype/Form/BBox[0 0 612 792]/Matrix [1 0 0 1 0 0]/Length 55/FormType 1/Filter/FlateDecode>>stream
xs
w3T04PI2P0T5T0P02S04S @$P5 )1
endstream
endobj
12 0 obj
<>>>/Subtype/Form/BBox[0 0 612 792]/Matrix [1 0 0 1 0 0]/Length 54/FormType 1/Filter/FlateDecode>>stream
xs
w3T04PI2P0T5T R
Ɩf
!\!Y\ !p )P
endstream
endobj
25 0 obj
<>>>/Subtype/Form/BBox[0 0 612 792]/Matrix [1 0 0 1 0 0]/Length 55/FormType 1/Filter/FlateDecode>>stream
xs
w3T04PI2P0T5T0P02S04S @$P5 )1
endstream
endobj
19 0 obj
<>>>/Subtype/Form/BBox[0 0 612 792]/Matrix [1 0 0 1 0 0]/Length 55/FormType 1/Filter/FlateDecode>>stream
xs
w3T04PI2P0T5T0P02S04S @$P5 )1
endstream
endobj
17 0 obj
<>>>/Subtype/Form/BBox[0 0 612 792]/Matrix [1 0 0 1 0 0]/Length 53/FormType 1/Filter/FlateDecode>>stream
xs
w3T04PI2P0T5T0 q-Br44C@B 9 s
(P
endstream
endobj
13 0 obj
<>>>/Subtype/Form/BBox[0 0 612 792]/Matrix [1 0 0 1 0 0]/Length 55/FormType 1/Filter/FlateDecode>>stream
xs
w3T04PI2P0T5T0P02S04S @$P5 )1
endstream
endobj
16 0 obj
<>>>/Subtype/Form/BBox[0 0 612 792]/Matrix [1 0 0 1 0 0]/Length 55/FormType 1/Filter/FlateDecode>>stream
xs
w3T04PI2P0T5T0P02S04S @$P5 )1
endstream
endobj
8 0 obj
<>>>/Subtype/Form/BBox[0 0 612 792]/Matrix [1 0 0 1 0 0]/Length 53/FormType 1/Filter/FlateDecode>>stream
xs
w3T04PI2P0T5T0 q-Br44C@B 9 s
(P
endstream
endobj
22 0 obj
<>>>/Subtype/Form/BBox[0 0 612 792]/Matrix [1 0 0 1 0 0]/Length 55/FormType 1/Filter/FlateDecode>>stream
xs
w3T04PI2P0T5T0P02S04S @$P5 )1
endstream
endobj
26 0 obj
<>stream
2013-05-15T10:21:14+05:30
Arbortext Advanced Print Publisher 9.0.114/W
2013-05-20T00:17:18-07:00
Acrobat Distiller 8.1.0 (Windows)
application/pdf
untitled
uuid:cfd5fd3c-ae50-4148-b509-e3e5a090c957
uuid:62c4ec12-ecbd-4caf-aced-d700596d7840
endstream
endobj
27 0 obj
<>stream
x+ |
endstream
endobj
28 0 obj
<>stream
xS**T0T0 BiUD* :
endstream
endobj
29 0 obj
<>stream
x+ |
endstream
endobj
30 0 obj
<>stream
xS**T0T0 BiU !D. _e1
endstream
endobj
31 0 obj
<>stream
x+ |
endstream
endobj
32 0 obj
<>stream
xS**T0T0 Bih]9D. qaj
endstream
endobj
33 0 obj
<>stream
x+ |
endstream
endobj
34 0 obj
<>stream
xS**T0T0 BiU)D* 9V
endstream
endobj
35 0 obj
<>stream
x+ |
endstream
endobj
36 0 obj
<>stream
xS**T0T0 Bid]1D. pa
endstream
endobj
37 0 obj
<>stream
x+ |
endstream
endobj
38 0 obj
<>stream
xS**T0T0 Bih] D. pa
endstream
endobj
39 0 obj
<>stream
x+ |
endstream
endobj
40 0 obj
<>stream
xS**T0T0 Bih]D. r^j
endstream
endobj
41 0 obj
<>stream
x+ |
endstream
endobj
42 0 obj
<>stream
xS**T0T0 BiUD* 8
endstream
endobj
43 0 obj
<>/XObject<>/ProcSet [/PDF /Text /ImageB /ImageC /ImageI]/Font<>>>/Thumb 57 0 R/MediaBox[0 0 612 792]/Rotate 0>>
endobj
58 0 obj
<>/ProcSet[/PDF/Text]/Font<>>>
endobj
45 0 obj
<>stream
/GS1 gs
BT
/F4 1 Tf
8.9663 0 0 8.9663 62.022 726.1227 Tm
0 0 0 rg
0 Tc
0 Tw
[(et)-436.6(al.,)-438.8(2010\),)-431.4(to)-439.5(project)-439.4(data)-438.8(into)-433.8(a)-435.8(lower-dimensional)-441.4(sub-)]TJ
0 -1.2203 TD
[(space.)-478.5(However,)-482.8(the)-478(quantitative)-478.9(dimensionality)-485.1(in)-474.8(condi-)]TJ
T*
[(tional)-304.1(variables)-304(has)-301.4(not)-297.5(yet)-302(been)-304.8(considered.)]TJ
1.1128 -1.2267 TD
[(To)-524.3(cope)-528.1(with)-527.5(redundancy)-530.1(and)-530.7(dimensionality)-529.4(curse)-527.4(in)]TJ
-1.1128 -1.2203 TD
[(evaluating)-452.6(multivariate)-453.4(GC,)-450.8(it)-452.9(has)-453.1(recently)-454.2(been)-450.2(proposed)]TJ
T*
[(\()-82.7(Marinazzo)-279.1(et)-272.3(al.,)-274.4(2012\))-270.4(that)-275.7(conditioning)-280.1(on)-271.7(a)-271.4(small)-271(number)]TJ
0 -1.2266 TD
[(of)-426.9(variables,)-427.1(chosen)-427.4(as)-424.5(the)-427.4(most)-425.8(informative)-429.9(ones)-424.7(for)-427.6(each)]TJ
0 -1.2203 TD
[(given)-321.8(candidate)-321.4(driver,)-321.3(can)-324.6(be)-320.5(enough)-325(to)-319.4(recover)-320.1(a)-322(network)]TJ
T*
[(eliminating)-345.2(spurious)-342.5(inuences,)-340.4(in)-342(particular)-338.7(when)-343.4(the)-338.9(con-)]TJ
T*
[(nectivity)-363.5(pattern)-366.2(is)-365.3(sparse.)-361.1(We)-359.3(refer)-368.4(to)-357.3(this)-362.8(approach)-368.3(as)-361.2(the)]TJ
0 -1.2266 TD
[(partially)-301.1(conditioned)-309.6(GC)-296.1(\(PCGC\).)]TJ
1.1128 -1.2203 TD
[(The)-398.3(purpose)-400.8(of)-395.3(this)-400.7(study)-396.3(was)-400.8(to)-395.3(show)-401.1(the)-395.8(applicability)]TJ
-1.1128 -1.2203 TD
[(and)-568.6(usefulness)-576.6(of)-566(this)-571.4(method,)-566.4(using)-570.4(it)-573.1(on)-568.9(a)-562.3(dynamical)]TJ
0 -1.2267 TD
[(model)-506.3(implemented)-503.3(on)-505.7(the)-503.3(human)-504.7(connectome)-508.2(structural)]TJ
0 -1.2203 TD
[(connectivity)-324.7(matrix)-326.4(and)-322(then)-323.3(on)-322.3(publicly)-318.6(available)-324(EEG)-320.9(and)]TJ
T*
[(resting-state)-306.7(fMRI)-302.8(data.)]TJ
/F1 1 Tf
0 -3.4333 TD
[(Materials)-301.1(and)-300.2(Methods)]TJ
/F8 1 Tf
0 -1.8336 TD
[(Partially)-306.3(conditioned)-299.8(GC)]TJ
/F4 1 Tf
1.1128 -1.8336 TD
[(It)-204.9(has)-200.2(been)-209.9(recently)-207.6(proved)-204.5(that)-206.2(measures)-203.9(based)-210.5(on)-202.2(transfer)]TJ
-1.1128 -1.2266 TD
[(entropy)-278.6(provide)-271.2(an)-274.8(elegant)-270.4(and)-271.5(convenient)-282.3(framework)-273.2(to)-268.8(in-)]TJ
0 -1.2203 TD
[(vestigate)-326.4(multivariate)-320.6(information)-327.9(transfer)-322.6(\(Faes)-321.8(et)-322.8(al.,)-325(2011;)]TJ
T*
[(Runge)-297.8(et)-291.2(al.,)-293.4(2012\).)-292.3(PCGC)-291.3(was)-293.3(rst)-296.3(proposed)-297.7(\(by)-287.5(Marinazzo)]TJ
T*
[(et)-234.3(al.,)-230.2(2012\))-226.1(as)-228.5(a)-233.5(technique)-230.6(able)-235(to)-230.9(compute)-230.3(GC)-232.9(conditioned)-233.7(to)]TJ
0 -1.2266 TD
[(a)-303(limited)-308.7(number)-310.8(of)-306.7(variables)-304(in)-310.4(the)-307.3(framework)-311.2(of)-306.7(the)-307.3(infor-)]TJ
0 -1.2203 TD
[(mation)-272.8(theory.)-267.5(The)-265.5(idea)-271.5(is)-270.4(that)-269.4(conditioning)-267.4(on)-271.7(a)-265.1(small)-271(num-)]TJ
T*
[(ber)-251.6(of)-243.5(the)-250.3(most)-248.7(informative)-252.9(variables)-247.1(for)-250.5(the)-250.3(candidate)-251.9(driver)]TJ
0 -1.2266 TD
[(variable)-220.5(is)-213.5(sufcient)-221.4(to)-218.2(remove)-222.9(indirect)-216.1(interactions)-226.9(especially)]TJ
0 -1.2203 TD
[(for)-389.6(sparse)-396.1(connectivity)-394.2(patterns.)-395.7(This)-390.6(approach)-393.6(has)-396.2(general)]TJ
T*
[(validity,)-268.3(but)-271.8(the)-269.3(computation)-271.7(of)-262.5(the)-269.3(information)-277.3(from)-267.1(the)-269.3(co-)]TJ
0 -1.2266 TD
[(variance)-404.9(matrix)-408.6(is)-403.2(especially)-408.3(convenient)-408.8(in)-405.3(a)-404.2(framework)-406(in)]TJ
0 -1.2203 TD
[(which)-656.2(GC)-650.2(and)-650.8(transfer)-657.7(entropy)-651.6(are)-651.4(equivalent)-655.4(\(Barnett)]TJ
T*
[(et)-297.5(al.,)-293.4(2009;)-291.8(Hlava)]TJ
7.4547 .0063 TD
()Tj
.4173 -.0063 TD
(ckova)Tj
2.1751 .0063 TD
()Tj
.4173 -.0063 TD
[(-Schindler,)-296.8(2011\).)-292.3(Here)-297.7(we)-292.4(briey)-294.2(re-)]TJ
-10.4644 -1.2266 TD
[(port)-302.5(the)-307.3(foundations)-306.5(of)-306.7(the)-307.3(approach,)-301.7(referring)-310.9(the)-300.9(reader)-307.2(to)]TJ
0 -1.2203 TD
[(the)-300.9(above-cited)-304.9(article)-304.1(for)-301.1(a)-303(complete)-302(description.)]TJ
1.1128 -1.2203 TD
-.0125 Tc
[(Co)-12.5(n)6.6(s)-12.5(i)7.9(d)-12.5(e)9.9(r)-12.5(i)8.6(n)-12.5(g)]TJ
/F9 1 Tf
5.463 0 TD
0 Tc
(n)Tj
/F4 1 Tf
.7398 0 TD
[(co)16.9(va)25(ri)21.1(an)22.4(ce)-182.5(st)23.5(at)19(io)19(na)22.4(ry)-175.8(va)18.7(ri)21.1(a)13.1(b)0(l)17.3(e)12.8(s)]TJ
/F10 1 Tf
13.316 0 TD
(f)Tj
/F9 1 Tf
.4995 0 TD
(x)Tj
/F11 1 Tf
6.2762 0 0 6.2762 255.9684 321.392 Tm
(a)Tj
/F4 1 Tf
8.9663 0 0 8.9663 259.5968 322.7527 Tm
(\()Tj
/F9 1 Tf
.3225 0 TD
(t)Tj
/F4 1 Tf
.3225 0 TD
(\))Tj
/F10 1 Tf
.3225 0 TD
(g)Tj
/F11 1 Tf
6.2762 0 0 6.2762 272.7495 320.3149 Tm
(a)Tj
/F7 1 Tf
.6684 0 TD
(=)Tj
/F4 1 Tf
.7226 0 TD
(1,)Tj
/F10 1 Tf
.9123 0 TD
()Tj
/F4 1 Tf
.813 0 TD
(,)Tj
/F9 1 Tf
.4155 0 TD
(n)Tj
/F4 1 Tf
8.9663 0 0 8.9663 298.8849 322.7527 Tm
(,)Tj
-26.4171 -1.2203 TD
[(t)12.2(h)0(e)-262.5(s)0(t)17.2(a)13.1(t)12.2(e)-271.8(ve)18.3(c)13.4(t)0(o)22(r)0(s)-261.2(a)0(r)18.8(e)-271.8(de)22.4(no)19.1(t)12.2(e)12.8(d:)]TJ
/F9 1 Tf
12.8418 0 TD
(X)Tj
/F11 1 Tf
6.2762 0 0 6.2762 183.5716 310.4503 Tm
(a)Tj
/F4 1 Tf
8.9663 0 0 8.9663 187.1999 311.8109 Tm
(\()Tj
/F9 1 Tf
.3225 0 TD
(t)Tj
/F4 1 Tf
.3225 0 TD
(\))Tj
/F7 1 Tf
.4932 0 TD
(=)Tj
/F4 1 Tf
.7208 0 TD
([)Tj
/F9 1 Tf
.3225 0 TD
(x)Tj
/F11 1 Tf
6.2762 0 0 6.2762 211.2377 310.4503 Tm
(a)Tj
/F4 1 Tf
8.9663 0 0 8.9663 214.8661 311.8109 Tm
(\()Tj
/F9 1 Tf
.3225 0 TD
(t)Tj
/F10 1 Tf
.4869 0 TD
()Tj
/F9 1 Tf
.9421 0 TD
(q)Tj
/F4 1 Tf
.4552 0 TD
(\),)Tj
/F10 1 Tf
.9042 0 TD
.1663 Tc
[()-6.3()]TJ
/F4 1 Tf
1.3152 0 TD
0 Tc
(,)Tj
/F9 1 Tf
.4173 0 TD
(x)Tj
/F11 1 Tf
6.2762 0 0 6.2762 262.7716 310.4503 Tm
(a)Tj
/F4 1 Tf
8.9663 0 0 8.9663 266.3999 311.8109 Tm
(\()Tj
/F9 1 Tf
.3225 0 TD
(t)Tj
/F10 1 Tf
.4869 0 TD
()Tj
/F4 1 Tf
.9421 0 TD
(1\)],)Tj
/F9 1 Tf
1.6629 0 TD
(q)Tj
/F4 1 Tf
-26.2085 -1.2266 TD
[(be)21(in)18.4(g)-301.6(t)0(h)15.1(e)-303.4(mo)18.6(de)22.4(l)-307(o)0(r)21.8(d)0(e)22.4(r)0(.)-294.5(L)0(e)16.1(t)]TJ
/F11 1 Tf
11.9377 0 TD
(e)Tj
/F4 1 Tf
.3857 0 TD
(\()Tj
/F9 1 Tf
.3225 0 TD
(x)Tj
/F11 1 Tf
6.2762 0 0 6.2762 179.8866 299.5086 Tm
(a)Tj
/F10 1 Tf
8.9663 0 0 8.9663 183.5149 300.8125 Tm
(j)Tj
/F9 1 Tf
.2719 0 TD
(Y)Tj
/F4 1 Tf
.6639 0 TD
[(\))-322.9(b)14.6(e)-309.7(t)12.2(he)-300.5(m)15.1(e)0(a)19.6(n)-306.9(sq)19.6(ua)24.4(re)18.4(d)-306.5(e)12.8(rr)17.6(or)]TJ
-14.4858 -1.2203 TD
[(pr)23.2(ed)16.1(i)15.4(c)0(t)19.2(i)0(o)19(n)-389.1(of)]TJ
/F9 1 Tf
6.0194 0 TD
(x)Tj
6.7246 0 0 5.9768 120.359 288.3968 Tm
(a)Tj
/F4 1 Tf
8.9663 0 0 8.9663 126.822 289.8708 Tm
[(on)-372.9(th)15.1(e)-385.6(b)0(a)21.4(s)0(i)20.4(s)-387(of)-376.3(th)15.1(e)-385.6(v)0(e)18.3(c)13.4(t)12.2(o)0(r)]TJ
/F9 1 Tf
11.7543 0 TD
(Y)Tj
/F4 1 Tf
.6513 0 TD
[(.)-388.6(W)13.6(e)-391.9(c)13.4(an)-382.3(d)16(e)0()16.1(n)15.6(e)]TJ
-19.6326 -1.2203 TD
[(t)12.2(h)0(e)-249.9(P)0(C)17.4(G)13.9(C)-259.4(i)15.4(nd)18.9(e)12.7(x)-261.4(f)12.2(r)0(o)21.8(m)-256.8(a)-258.7(v)0(a)18.7(r)0(i)21.1(a)13.1(bl)23.7(e)]TJ
/F11 1 Tf
14.0622 0 TD
(b)Tj
/F4 1 Tf
.8093 0 TD
-.0191 Tc
[(t)-6.9(o)-281.1(a)-6(n)-19.1(ot)-6.9(h)-19.1(e)2.9(r)-279(o)-19.1(ne)]TJ
/F11 1 Tf
6.4873 0 TD
0 Tc
(a)Tj
/F4 1 Tf
.7524 0 TD
[(as)-247.4(fo)15.7(l)15.4(l)0(o)19(w)0(s)22.4(:)]TJ
/F9 1 Tf
-15.2319 -2.4849 TD
(PCGC)Tj
6.2762 0 0 6.2762 147.5149 255.2881 Tm
(n)Tj
4.483 0 0 4.483 150.9732 254.2109 Tm
(d)Tj
/F4 1 Tf
8.9663 0 0 8.9663 154.2047 256.6487 Tm
(\()Tj
/F11 1 Tf
.3225 0 TD
(b)Tj
/F12 1 Tf
.5501 0 TD
(/)Tj
/F11 1 Tf
1.195 0 TD
(a)Tj
/F4 1 Tf
.4995 0 TD
(\))Tj
/F7 1 Tf
.4932 0 TD
(=)Tj
/F4 1 Tf
.8852 0 TD
(log)Tj
ET
203.414 258.69 46.035 .34015 re
f
BT
/F11 1 Tf
8.9663 0 0 8.9663 213.5054 262.7149 Tm
(e)Tj
/F4 1 Tf
.3857 0 TD
(\()Tj
/F9 1 Tf
.3225 0 TD
(x)Tj
/F11 1 Tf
6.2762 0 0 6.2762 224.3905 261.4109 Tm
(a)Tj
/F10 1 Tf
8.9663 0 0 8.9663 228.0188 262.7149 Tm
(j)Tj
/F9 1 Tf
.2719 0 TD
(Z)Tj
/F4 1 Tf
.6639 0 TD
(\))Tj
/F11 1 Tf
-3.6799 -1.3657 TD
(e)Tj
/F4 1 Tf
.3857 0 TD
(\()Tj
/F9 1 Tf
.3225 0 TD
(x)Tj
/F11 1 Tf
6.2762 0 0 6.2762 214.2424 249.1653 Tm
(a)Tj
/F10 1 Tf
8.9663 0 0 8.9663 217.8708 250.4693 Tm
(j)Tj
/F9 1 Tf
.2719 0 TD
(Z)Tj
/F10 1 Tf
.8852 0 TD
([)Tj
/F9 1 Tf
.8789 0 TD
(X)Tj
/F11 1 Tf
6.2762 0 0 6.2762 242.5889 249.1086 Tm
(b)Tj
/F4 1 Tf
8.9663 0 0 8.9663 246.5574 250.4693 Tm
(\))Tj
4.9382 .6892 TD
(\(1\))Tj
-25.5193 -2.643 TD
(where)Tj
/F9 1 Tf
3.054 0 TD
(Z)Tj
/F7 1 Tf
.8283 0 TD
(=)Tj
/F10 1 Tf
.7208 0 TD
(f)Tj
/F9 1 Tf
.4995 0 TD
(X)Tj
6.2762 0 0 6.2762 114.2362 231.5905 Tm
(i)Tj
/F4 1 Tf
4.483 0 0 4.483 115.937 230.6834 Tm
(1)Tj
8.9663 0 0 8.9663 119.1685 232.9511 Tm
(,)Tj
/F10 1 Tf
.5817 0 TD
.1663 Tc
[()-6.3()]TJ
/F4 1 Tf
1.3152 0 TD
0 Tc
(,)Tj
/F9 1 Tf
.4173 0 TD
(X)Tj
6.2762 0 0 6.2762 146.3244 231.5905 Tm
(i)Tj
4.483 0 0 4.483 148.0251 230.6834 Tm
(n)Tj
.6702 -.0506 TD
(d)Tj
/F10 1 Tf
8.9663 0 0 8.9663 154.2614 232.9511 Tm
(g)Tj
/F4 1 Tf
.822 0 TD
[(is)-321(a)-322(set)-324.1(of)-325.7(the)-326.2(n)]TJ
/F9 1 Tf
6.7246 0 0 5.9768 222.8031 231.4771 Tm
(d)Tj
/F4 1 Tf
8.9663 0 0 8.9663 229.0393 232.9511 Tm
[(variables,)-325.9(in)-323.1(X)]TJ
/F9 1 Tf
6.3672 0 TD
(/X)Tj
/F11 1 Tf
6.7246 0 0 5.9768 295.1432 231.4771 Tm
(b)Tj
/F4 1 Tf
8.9663 0 0 8.9663 298.8849 232.9511 Tm
(,)Tj
-26.4171 -1.2203 TD
[(most)-204.5(informative)-202.3(for)]TJ
/F9 1 Tf
9.124 0 TD
(X)Tj
/F11 1 Tf
6.7246 0 0 5.9768 150.2362 220.4787 Tm
(b)Tj
/F4 1 Tf
8.9663 0 0 8.9663 153.9779 222.0094 Tm
[(.)-198.9(I)0(n)-201.5(other)-203.2(words,)]TJ
/F9 1 Tf
7.2777 0 TD
(Z)Tj
/F4 1 Tf
.8726 0 TD
[(maximizes)-200.6(the)-199.8(mu-)]TJ
-18.406 -1.2266 TD
[(tual)-302(information)]TJ
/F9 1 Tf
7.4927 0 TD
(I)Tj
/F10 1 Tf
.3604 0 TD
(f)Tj
/F9 1 Tf
.4995 0 TD
(X)Tj
/F11 1 Tf
6.2762 0 0 6.2762 143.3763 209.707 Tm
(b)Tj
/F4 1 Tf
8.9663 0 0 8.9663 147.3448 211.011 Tm
(,)Tj
/F9 1 Tf
.4173 0 TD
(Z)Tj
/F10 1 Tf
.6639 0 TD
(g)Tj
/F4 1 Tf
.7967 0 TD
[(among)-298.5(all)-303.8(the)-300.9(subsets)]TJ
/F9 1 Tf
9.8511 0 TD
(Z)Tj
/F4 1 Tf
.9611 0 TD
[(of)-300.4(n)]TJ
/F9 1 Tf
6.7246 0 0 5.9768 276.718 209.5369 Tm
(d)Tj
/F4 1 Tf
8.9663 0 0 8.9663 282.7275 211.011 Tm
(vari-)Tj
-24.6151 -1.2203 TD
[(ables.)-372(This)-371.6(index)-372.4(will)-372.6(thus)-373.3(depend)-377.3(on)-372.9(n)]TJ
6.7246 0 0 5.9768 223.0298 198.5952 Tm
(d)Tj
8.9663 0 0 8.9663 227.1118 200.0692 Tm
[(,)-369.6(but)-373(for)-377(a)-366.2(simpler)]TJ
-18.4123 -1.2203 TD
[(notation,)-341.7(we)-336.6(will)-334.7(drop)-336.6(the)-338.9(subscript)-342.5(from)-336.6(the)-338.9(notation)-338.8(from)]TJ
0 -1.2266 TD
[(now)-216.4(on.)-217.7(Moreover,)-217.9(instead)-219.8(of)-218.2(searching)-217.8(among)-222.6(all)-215.2(the)-218.7(subsets)]TJ
0 -1.2203 TD
[(of)-237.2(n)]TJ
/F9 1 Tf
6.7246 0 0 5.9768 77.0456 165.7133 Tm
(d)Tj
/F4 1 Tf
8.9663 0 0 8.9663 82.4882 167.1874 Tm
[(variables,)-237.4(we)-235.5(adopt)-234.7(the)-237.7(following)-241(approximate)-236.5(strategy.)]TJ
-2.2826 -1.2203 TD
[(First,)-266.3(the)-269.3(mutual)-263(information)-271(of)-268.8(the)-263(driver)-267.8(variable,)-267.7(and)-265.1(each)]TJ
T*
[(of)-230.9(the)-231.4(other)-228.5(variables,)-231.1(is)-226.1(estimated,)-229.9(to)-230.9(choose)-230.7(the)-231.4(rst)-226.8(variable)]TJ
0 -1.2266 TD
[(of)-363.6(the)-364.2(subset.)-365.8(The)-360.4(second)-370.1(variable)-359.6(of)-363.6(the)-364.2(subsets)-364.2(is)-365.2(selected)]TJ
0 -1.2203 TD
[(among)-241.6(the)-237.7(remaining)-243.6(ones,)-244.2(as)-241.1(those)-241.8(that,)-240.7(jointly)-238(with)-243(the)-244(pre-)]TJ
T*
[(viously)-441.3(chosen)-440(variable,)-444.7(maximize)-433.2(the)-446.4(mutual)-440.1(information)]TJ
0 -1.2266 TD
[(with)-337.8(the)-332.5(driver)-337.4(variable.)-337.2(Then,)-335.1(one)-334.8(keeps)-335.7(adding)-333(the)-338.9(rest)-337.5(of)]TJ
0 -1.2203 TD
[(the)-288.3(variables)-285(by)-280.7(iterating)-287.8(this)-280.6(procedure.)-290.1(Calling)]TJ
/F9 1 Tf
21.5801 0 TD
(Z)Tj
6.7246 0 0 5.9768 261.4677 89.0078 Tm
(k)Tj
/F10 1 Tf
.4384 0 TD
()Tj
/F4 1 Tf
.7756 0 TD
(1)Tj
8.9663 0 0 8.9663 275.5275 90.4819 Tm
[(the)-288.3(se-)]TJ
-23.8121 -1.2203 TD
[(lected)-366.5(set)-368.4(of)]TJ
/F9 1 Tf
5.7538 0 TD
(k)Tj
/F10 1 Tf
.4363 0 TD
()Tj
/F4 1 Tf
.7714 0 TD
[(1)-366.2(variables,)-363.8(the)-370.5(set)]TJ
/F9 1 Tf
8.7319 0 TD
(Z)Tj
6.7246 0 0 5.9768 208.6866 78.0094 Tm
(k)Tj
/F4 1 Tf
8.9663 0 0 8.9663 214.9228 79.5401 Tm
[(is)-365.2(obtained)-364.8(adding)-370.9(to)]TJ
/F9 1 Tf
-17.0529 -1.2266 TD
(Z)Tj
6.7246 0 0 5.9768 67.8614 67.0677 Tm
(k)Tj
/F10 1 Tf
.4047 0 TD
()Tj
/F4 1 Tf
.7756 0 TD
(1)Tj
8.9663 0 0 8.9663 81.0708 68.5417 Tm
-.0194 Tc
[(the)-234.3(v)-1.2(ariab)-4.8(l)2.4(e,)-231(amo)-3.2(n)-3.8(g)-226.1(t)-.9(h)-3.8(e)-227.9(rem)-4.3(a).1(in)-3.8(in)-3.8(g)-226.2(o)-3.2(n)-3.8(e)-.3(s,)-224.7(wi)-4(th)-225.1(a)-233.9(g)1.5(reatest)-234.8(i)2.4(n)-3.8(-)]TJ
-2.1245 -1.2203 TD
[(formation)-301.1(g)-4.9(ain.)-300.6(This)-305.3(is)-305.3(r)5.1(e)-6.7(pe)-6.7(ated)-300.7(until)-301.2(n)]TJ
/F9 1 Tf
6.7246 0 0 5.9768 211.4078 56.1259 Tm
0 Tc
(d)Tj
/F4 1 Tf
8.9663 0 0 8.9663 217.3039 57.6 Tm
-.0191 Tc
[(variable)-6.3(s)-298.6(a).4(re)-303.5(s)4.9(e)-6.4(lected.)]TJ
11.7922 74.5598 TD
0 Tc
[(If)-318.7(we)-317.7(assume)-317.1(that)-320(the)-319.9(data)-318.6(are)-316.3(gaussianly)-319.5(distributed,)-321.8(the)]TJ
-1.1128 -1.2203 TD
[(mutual)-459(information)-454.4(can)-451.1(be)-453.2(computed)-454.6(from)-456.8(the)-452.7(covariance)]TJ
T*
[(matrix)-339.1(\(Barnett)-343(et)-341.8(al.,)-331.3(2009\).)-336.5(In)-340.6(this)-337.5(study,)-342.3(we)-336.6(have)-338.6(adopted)]TJ
0 -1.2267 TD
[(this)-388.1(strategy,)-387.2(condent)-388.3(that)-389.5(the)-383.1(loss)-388.3(of)-382.6(accuracy)-382.7(due)-390(to)-382.6(the)]TJ
0 -1.2203 TD
[(nonfulllment)-317.2(of)-306.7(the)-307.3(exact)-311.1(gaussianity)-307.3(of)-306.7(the)-307.3(data)-306(is)-308.3(negligi-)]TJ
T*
[(ble)-380.9(when)-381.4(compared)-377.1(with)-375.7(the)-383.1(gain)-377.6(in)-373.6(accuracy)-382.7(provided)-375.4(by)]TJ
0 -1.2266 TD
[(the)-237.7(partial)-236.2(conditioning.)-238.7(Further,)-241.5(it)-231.6(has)-238.2(been)-235.2(suggested)-237.4(\(Hart-)]TJ
0 -1.2203 TD
[(man)-221.8(et)-221.7(al.,)-217.5(2011;)-222.3(Hlinka)-216.7(et)-221.7(al.,)-223.9(2011\))-219.8(that)-218.8(for)-218.9(resting-state)-230.8(fMRI)]TJ
T*
[(data,)-252(which)-245.2(in)-247.2(our)-251.4(opinion)-248.4(will)-246.2(be)-250.9(the)-250.3(most)-248.7(frequent)-250.9(target)-245.7(of)]TJ
T*
[(the)-370.5(proposed)-367.3(approach,)-371.2(the)-364.2(non-Gaussian)-372.8(contributions)-375.2(are)]TJ
0 -1.2266 TD
[(almost)-302.3(negligible.)]TJ
1.1128 -1.2203 TD
[(In)-207.8(practice,)-209.3(n)]TJ
/F9 1 Tf
6.7246 0 0 5.9768 372.9259 604.1195 Tm
(d)Tj
/F4 1 Tf
8.9663 0 0 8.9663 378.1416 605.5935 Tm
[(has)-206.5(to)-205.6(be)-206.6(chosen)-212.4(empirically)-206.6(by)-204.8(exploring)-205.1(the)]TJ
-7.2587 -1.2203 TD
[(curve)-242.2(of)-237.2(the)-237.7(residual)-240.5(information)-245.7(gain)-238.5(\(even)-238.3(on)-240.1(a)-233.5(smaller)-240(per-)]TJ
0 -1.2267 TD
[(centage)-379.9(of)-370(the)-370.5(dataset\))-377.7(when)-375(an)-369.6(additional)-370(variable)-378.6(is)-371.6(used)]TJ
0 -1.2203 TD
[(for)-307.4(conditioning)-311.7(\(added)-306.1(to)-300.4(the)-307.3(set)]TJ
/F9 1 Tf
15.175 0 TD
(Z)Tj
/F4 1 Tf
.6639 0 TD
[(\))-310.3(and)-303.1(deciding)-304.6(when)-305.5(the)]TJ
-15.8389 -1.2203 TD
[(remaining)-502.8(information)-505(due)-497.4(to)-496.4(additional)-502.8(variables)-500(can)-495.4(be)]TJ
0 -1.2266 TD
[(neglected.)-225.4(More)-217.1(automated)-219.5(algorithms)-219.5(to)-218.2(detect)-218(the)-218.7(inection)]TJ
0 -1.2203 TD
[(point)-220.2(of)-218.2(the)-212.4(curve)-217(or)-212.1(the)-218.7(crossing)-219.1(of)-211.9(a)-214.5(given)-220.6(threshold)-214.5(can)-217.2(also)]TJ
T*
[(be)-301.5(explored.)]TJ
1.1128 -1.2266 TD
[(The)-328.8(model)-329.2(order)-323.2(for)-332.7(PCGC)-322.9(analysis)-326.3(can)-331(be)-326.8(chosen,)-329.1(as)-323.3(for)]TJ
-1.1128 -1.2203 TD
[(standard)-409.2(pairwise)-403.5(GC/CGC)-405.7(analysis)-408.5(by)-400.9(standard)-409.2(methods)]TJ
T*
[(such)-308.8(as)-304.3(the)-307.3(Akaike)-304(information)-309(criterion,)-308(the)-307.3(Bayesian)-305.4(infor-)]TJ
T*
[(mation)-304.4(criterion,)-308(or)-300.7(leave-one-out)-306(cross-validation.)]TJ
/F8 1 Tf
0 -2.6114 TD
[(Simulated)-305.6(data)]TJ
/F4 1 Tf
1.1128 -1.8336 TD
[(The)-240.2(approach)-235.5(is)-238.8(rst)-239.4(tested)-239(on)-233.8(a)-239.8(dataset)-238.1(simulated)-237.8(through)]TJ
-1.1128 -1.2266 TD
[(a)-593.9(recently)-593.3(launched)-595.1(platform,)-591(The)-594.3(Virtual)-593.6(Brain)-591.8(\(http:/)221.9(/)]TJ
0 -1.2203 TD
[(thevirtualbrain.org,)-310.8(Version)-305.3(1.0\))-305.9(\(Ritter)-307(et)-303.9(al.,)-299.7(2013\).)-304.9(The)-303.5(em-)]TJ
T*
[(bedded)-335.7(74-node)-331(structural)-337.5(connectivity)-337.3(matrix)-332.7(provided)-331.2(the)]TJ
0 -1.2266 TD
[(system)-213.6(architecture.)-213.7(At)-210.5(each)-210.7(node,)-208(the)-206.1(activity)-214.3(of)-205.6(a)-208.2(population)]TJ
0 -1.2203 TD
[(of)-275.1(neurons)-278.4(was)-274.3(simulated)-275.7(with)-274.6(the)-275.6(default)-280.1(model)-272.3(of)-275.1(a)-271.4(2)0(D)-272.8(os-)]TJ
T*
[(cillator)-234.6(\(Stefanescu)-238.5(and)-233.5(Jirsa,)-229.7(2008\),)-235.4(able)-228.7(to)-230.9(preserve)-238.5(the)-231.4(m)40.4(a)44.7(t)37.5(h)40.9(-)]TJ
0 -1.2267 TD
-.0411 Tc
[(ematical)-209(fo)-5.9(rm)-203.1(o)-5.9(f)-206(single-neuron)-202.6(e)-3.1(quatio)-5.9(ns.)-208.4(T).2(he)-205.4(equations)-206.8(g)-1.3(overning)]TJ
0 -1.2203 TD
-.0402 Tc
[(the)-299.3(d)1.1(ynamics)-300.8(o)1.3(f)-299.9(t)-2.7(he)-299.3(two-state)-299.3(v)-3(ariables)-294.4(are)-299.3(t)3.6(he)-299.3(following:)]TJ
/F13 1 Tf
7.9732 -1.7198 TD
0 Tc
(_)Tj
/F9 1 Tf
-.2403 -.2529 TD
(V)Tj
/F7 1 Tf
.9231 0 TD
(=)Tj
/F11 1 Tf
.7208 0 TD
(s)Tj
/F4 1 Tf
.4363 0 TD
(\()Tj
/F9 1 Tf
.3225 0 TD
(W)Tj
/F10 1 Tf
1.1571 0 TD
()Tj
/F9 1 Tf
.9358 0 TD
(V)Tj
/F4 1 Tf
6.2762 0 0 6.2762 429.5054 343.5023 Tm
(3)Tj
/F10 1 Tf
8.9663 0 0 8.9663 434.6644 339.8172 Tm
()Tj
/F4 1 Tf
.9358 0 TD
(3)Tj
/F9 1 Tf
.4995 0 TD
(V)Tj
/F4 1 Tf
6.2762 0 0 6.2762 454.3369 343.5023 Tm
(2)Tj
/F10 1 Tf
8.9663 0 0 8.9663 459.4393 339.8172 Tm
()Tj
/F9 1 Tf
.9421 0 TD
(I)Tj
6.2762 0 0 6.2762 470.7778 338.4566 Tm
(ext)Tj
/F10 1 Tf
8.9663 0 0 8.9663 480.3589 339.8172 Tm
()Tj
/F9 1 Tf
.9358 0 TD
(I)Tj
/F4 1 Tf
.3667 0 TD
(\))Tj
/F13 1 Tf
-12.1021 -1.4163 TD
(_)Tj
/F9 1 Tf
-.3541 -.2656 TD
(W)Tj
/F7 1 Tf
1.1508 0 TD
(=)Tj
/F10 1 Tf
.8852 0 TD
()Tj
/F4 1 Tf
.9421 0 TD
(\()Tj
/F9 1 Tf
.3225 0 TD
(a)Tj
/F10 1 Tf
.6007 0 TD
()Tj
/F9 1 Tf
.9358 0 TD
(bV)Tj
/F10 1 Tf
1.3847 0 TD
()Tj
/F9 1 Tf
.9421 0 TD
(cV)Tj
/F4 1 Tf
6.2762 0 0 6.2762 455.0172 328.422 Tm
(2)Tj
/F10 1 Tf
8.9663 0 0 8.9663 460.1196 324.7369 Tm
()Tj
/F9 1 Tf
.9421 0 TD
(W)Tj
/F4 1 Tf
.9864 0 TD
(\))Tj
/F14 1 Tf
.3225 0 TD
(=)Tj
/F11 1 Tf
.4995 0 TD
(s)Tj
/F4 1 Tf
6.3735 0 TD
(\(2\))Tj
-24.4128 -2.017 TD
[(The)-252.9(parameters)-260.2(were)]TJ
/F9 1 Tf
9.4717 0 TD
(a)Tj
/F7 1 Tf
.607 0 TD
(=)Tj
/F4 1 Tf
.7208 0 TD
(2,)Tj
/F9 1 Tf
.999 0 TD
(b)Tj
/F7 1 Tf
.626 0 TD
(=)Tj
/F10 1 Tf
.7208 0 TD
()Tj
/F4 1 Tf
.9358 0 TD
(10,)Tj
/F9 1 Tf
1.4985 0 TD
(c)Tj
/F7 1 Tf
.5754 0 TD
(=)Tj
/F4 1 Tf
.7208 0 TD
(0,)Tj
/F9 1 Tf
.999 0 TD
(I)Tj
6.7246 0 0 5.9768 486.1983 305.1212 Tm
(ext)Tj
/F7 1 Tf
8.9663 0 0 8.9663 495.8361 306.6519 Tm
(=)Tj
/F4 1 Tf
.7208 0 TD
(0,)Tj
/F9 1 Tf
.999 0 TD
(and)Tj
/F11 1 Tf
1.7451 0 TD
(s)Tj
/F7 1 Tf
.6007 0 TD
(=)Tj
/F4 1 Tf
.7208 0 TD
(1.0,)Tj
-25.1715 -1.2266 TD
[(resulting)-265.2(in)-259.8(a)-258.8(limit)-255.2(cycle)-259.3(in)-259.8(the)-263(phase)-258.4(plane.)-263.5(For)-254.5(the)-263(coupling,)]TJ
0 -1.2203 TD
[(a)-296.7(linear)-288.8(function)-299.2(was)-293.3(used,)-293(rescaling)-293.8(the)-288.3(connection)-296.4(strength)]TJ
T*
[(of)-243.5(a)-233.5(factor)-243.5(0.06)-235.4(and)-239.8(using)-235.3(3)-170.2(mm/ms)-237.3(as)-234.8(conduction)-240.5(speed.)-242.3(The)]TJ
0 -1.2266 TD
[(equations)-263.3(were)-255(integrated)-261.9(according)-256.2(to)-256.2(the)-256.7(Heun)-257.5(determinis-)]TJ
0 -1.2203 TD
[(tic)-319.4(scheme)-311.2(with)-312.5(a)-315.7(time)-311.3(step)-312.9(of)-313.1(0.012)-171.7(ms.)-311.6(The)-309.8(timeseries)-317.9(were)]TJ
T*
[(then)-361.2(downsampled)-364.7(to)-357.3(256)-169.3(Hz.)-356.5(For)-362(the)-357.8(comparative)-359.4(analysis)]TJ
T*
[(taking)-382.5(into)-383.2(account)-385.4(the)-383.1(length)-388.1(of)-376.3(the)-383.1(time)-387.2(series,)-382.6(5)-378.9(sections)]TJ
0 -1.2266 TD
[(of)-407.9(4)-397.9(seconds)-409.3(and)-404.2(10)-397.4(sections)-410.3(of)-401.6(2)-397.9(seconds)-409.3(each)-400.4(were)-406.8(used.)]TJ
0 -1.2203 TD
[(The)-284.5(order)]TJ
/F9 1 Tf
4.5904 0 TD
(q)Tj
/F4 1 Tf
.7335 0 TD
[(of)-281.4(the)-275.6(model)-278.7(was)-280.7(chosen)-281.9(as)-272.7(6)-277.7(using)-279.6(the)-282(Bayesian)]TJ
-5.3239 -1.2203 TD
[(information)-378.5(criterion.)-377.6(The)-373(timeseries)-374.9(simulated)-376.9(by)-375.6(equation)]TJ
0 -1.2266 TD
[(\(2\))-424.1(are)-417.4(nonlinear)-424.8(and)-416.9(not)-417.6(gaussianly)-420.6(distributed.)-423(To)-423.1(see)-418.4(to)]TJ
0 -1.2203 TD
[(which)-226.2(extent)-221.3(this)-223.7(approximation)-221(in)-221.9(our)-219.8(methodology)-227.3(affected)]TJ
T*
[(the)-218.7(results,)-213.8(we)-210.2(tted)-209.2(the)-212.4(dataset)-219.2(with)-211.4(a)-208.2(linear)-212.9(model)-209.1(of)-211.9(order)-215.7(6)]TJ
0 -1.2266 TD
[(and)-208.2(then)-209.5(used)-207.9(the)-206.1(coefcients)-215.6(and)-201.9(the)-206.1(noise)-213.2(covariance)-204.6(matrix)]TJ
0 -1.2203 TD
[(to)-306.7(generate)-299(a)-303(linear)-301.4(version)-303.2(of)-300.4(it.)]TJ
/F8 1 Tf
0 -2.7188 TD
[(Resting-state)-305.5(fMRI)-302.4(data)]TJ
/F4 1 Tf
1.1128 -1.8336 TD
[(The)-455.2(resting-state)-458.5(fMRI)-454.5(datasets)-460.7(used)-454.5(in)-449.5(this)-457.6(study)-453.2(have)]TJ
-1.1128 -1.2266 TD
[(been)-456.5(publicly)-457.7(released)-456.7(under)-457.3(the)-452.7(1000)-453.3(Functional)-457.9(Connec-)]TJ
0 -1.2203 TD
[(tomes)-571.1(Project)-565.8(\(http:/)215.6(/fcon_1000.projects.nitrc.org,)-575.3(accessed)]TJ
T*
[(March)-324.1(2012\).)-323.9(The)-316.1(rst)-321.6(dataset)-326.6(is)-321(the)-319.9(enhanced)-321.6(Nathan)-322.4(Kline)]TJ
0 -1.2266 TD
[(Institute-Rockland)-880.9(sample,)-872.3(containing)-877.3(two)-871.1(resting-state)]TJ
/F1 1 Tf
-27.9978 77.1775 TD
(2)Tj
49.5084 0 TD
[(WU)-301.4(ET)-300.7(AL.)]TJ
ET
endstream
endobj
59 0 obj
<>stream
hlOKBAߘ"]eCJf |323*3}ТhѢˠH>COUs~p8
,BzX<>*fiifrb "D}u0ZB> )TLpvKr5Tض
m=J
+ )ҡ^
\.6J\+uBSZzW)=hP\hA}]\! 0,S>rpw'sZ EULu