%PDF-1.4
%
1 0 obj <>stream
application/pdfIEEEIEEE Transactions on Signal Processing;2018;66;22;10.1109/TSP.2018.2870353Non-convex optimizationlow-rank approximationnon-Euclidean gradient descentA Non-Euclidean Gradient Descent Framework for Non-Convex Matrix FactorizationYa-Ping HsiehYu-Chun KaoRabeeh Karimi MahabadiAlp YurtseverAnastasios KyrillidisVolkan Cevher
IEEE Transactions on Signal Processing591715 Nov.15, 2018226610.1109/TSP.2018.28703535926
endstream
endobj
2 0 obj <>stream
application/pdfIEEE Transactions on Signal Processing;2018;66;22;10.1109/TSP.2018.2870353A Non-Euclidean Gradient Descent Framework for Non-Convex Matrix Factorization
Acrobat Distiller 10.1.10 (Windows); modified using iText® 7.1.1 ©2000-2018 iText Group NV (AGPL-version)
2018-10-06T01:51:12.000Z2018-12-13T10:01:41.000Z
endstream
endobj
3 0 obj<>
endobj
4 0 obj<>
endobj
5 0 obj<>
endobj
6 0 obj<>
endobj
7 0 obj<>
endobj
8 0 obj<>
endobj
9 0 obj<>/ProcSet[/PDF/Text/ImageB/ImageC/ImageI]/ColorSpace<>/Font<>/Properties<>>>/Thumb 38 0 R/MediaBox[0 0 594 792]/Annots[39 0 R 40 0 R 41 0 R 42 0 R 43 0 R 44 0 R 45 0 R 46 0 R 47 0 R]/Rotate 0>>
endobj
10 0 obj<>/ProcSet[/PDF/Text/ImageB/ImageC/ImageI]/ColorSpace<>/Font<>>>/Thumb 51 0 R/MediaBox[0 0 594 792]/Rotate 0>>
endobj
11 0 obj<>/ProcSet[/PDF/Text/ImageB/ImageC/ImageI]/ColorSpace<>/Font<>>>/Thumb 53 0 R/MediaBox[0 0 594 792]/Rotate 0>>
endobj
12 0 obj<>/ProcSet[/PDF/Text/ImageB/ImageC/ImageI]/ColorSpace<>/Font<>>>/Thumb 55 0 R/MediaBox[0 0 594 792]/Rotate 0>>
endobj
13 0 obj<>/ProcSet[/PDF/Text/ImageB/ImageC/ImageI]/ColorSpace<>/Font<>>>/Thumb 57 0 R/MediaBox[0 0 594 792]/Rotate 0>>
endobj
14 0 obj<>/ProcSet[/PDF/Text/ImageB/ImageC/ImageI]/ColorSpace<>/Font<>>>/Thumb 59 0 R/MediaBox[0 0 594 792]/Rotate 0>>
endobj
15 0 obj<>/XObject<>/ProcSet[/PDF/Text/ImageC/ImageI/ImageB]/ColorSpace<>/Font<>/Properties<>>>/Thumb 63 0 R/MediaBox[0 0 594 792]/Rotate 0>>
endobj
16 0 obj<>/XObject<>/ProcSet[/PDF/Text/ImageC/ImageB/ImageI]/ColorSpace<>/Font<>/Properties<>>>/Thumb 70 0 R/MediaBox[0 0 594 792]/Rotate 0>>
endobj
17 0 obj<>/ProcSet[/PDF/Text/ImageB/ImageC/ImageI]/ColorSpace<>/Font<>/Properties<>>>/Thumb 74 0 R/MediaBox[0 0 594 792]/Rotate 0>>
endobj
18 0 obj<>/ProcSet[/PDF/Text/ImageB/ImageC/ImageI]/ColorSpace<>/Font<>>>/Thumb 76 0 R/MediaBox[0 0 594 792]/Rotate 0>>
endobj
77 0 obj <>stream
application/postscript
Print
2018-09-15T08:09:21+05:30
2018-09-15T08:09:21+05:30
2018-09-15T08:09:21+05:30
Adobe Illustrator CS6 (Windows)
256
92
JPEG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xmp.iid:E68AAE108FB8E811BB98C8FE113E2619
xmp.did:E68AAE108FB8E811BB98C8FE113E2619
uuid:5D20892493BFDB11914A8590D31508C8
proof:pdf
uuid:1e9fe3cf-bac1-48ac-8341-771a4bda1c27
xmp.did:0980117407206811822A897E387FE54C
uuid:5D20892493BFDB11914A8590D31508C8
proof:pdf
saved
xmp.iid:E68AAE108FB8E811BB98C8FE113E2619
2018-09-15T08:09:21+05:30
Adobe Illustrator CS6 (Windows)
/
Print
False
False
1
49.606689
70.157471
Picas
Black
Default Swatch Group
0
White
CMYK
PROCESS
0.000000
0.000000
0.000000
0.000000
Black
CMYK
PROCESS
69.531250
67.187500
63.671875
73.828125
CMYK Red
CMYK
PROCESS
0.390625
98.828125
96.875000
0.000000
CMYK Yellow
CMYK
PROCESS
3.906250
0.000000
92.968750
0.000000
CMYK Green
CMYK
PROCESS
82.421875
6.640625
95.312500
0.390625
CMYK Cyan
CMYK
PROCESS
69.140625
14.062500
0.000000
0.000000
CMYK Blue
CMYK
PROCESS
98.828125
96.093750
3.515625
0.390625
CMYK Magenta
CMYK
PROCESS
0.781250
98.437500
0.390625
0.000000
C=15 M=100 Y=90 K=10
CMYK
PROCESS
17.578125
100.000000
90.625000
7.812500
C=0 M=90 Y=85 K=0
CMYK
PROCESS
0.000000
89.453125
84.375000
0.000000
C=0 M=80 Y=95 K=0
CMYK
PROCESS
0.000000
79.687500
93.750000
0.000000
C=0 M=50 Y=100 K=0
CMYK
PROCESS
0.000000
49.218750
98.046875
0.000000
C=0 M=35 Y=85 K=0
CMYK
PROCESS
0.000000
34.765625
84.375000
0.000000
C=5 M=0 Y=90 K=0
CMYK
PROCESS
5.468750
0.000000
89.453125
0.000000
C=20 M=0 Y=100 K=0
CMYK
PROCESS
19.531250
0.000000
98.046875
0.000000
C=50 M=0 Y=100 K=0
CMYK
PROCESS
49.609375
0.390625
98.437500
0.000000
C=75 M=0 Y=100 K=0
CMYK
PROCESS
74.218750
0.000000
99.218750
0.000000
C=85 M=10 Y=100 K=10
CMYK
PROCESS
85.937500
16.406250
100.000000
3.125000
C=90 M=30 Y=95 K=30
CMYK
PROCESS
89.843750
33.203125
97.265625
25.781250
C=75 M=0 Y=75 K=0
CMYK
PROCESS
74.609375
0.000000
74.609375
0.000000
C=80 M=10 Y=45 K=0
CMYK
PROCESS
78.515625
10.546875
44.921875
0.000000
C=70 M=15 Y=0 K=0
CMYK
PROCESS
69.921875
15.234375
0.000000
0.000000
C=85 M=50 Y=0 K=0
CMYK
PROCESS
84.375000
50.000000
0.000000
0.000000
C=100 M=95 Y=5 K=0
CMYK
PROCESS
98.828125
92.578125
5.859375
0.390625
C=100 M=100 Y=25 K=25
CMYK
PROCESS
100.000000
100.000000
30.078125
21.484375
C=75 M=100 Y=0 K=0
CMYK
PROCESS
74.218750
98.046875
0.781250
0.390625
C=50 M=100 Y=0 K=0
CMYK
PROCESS
50.000000
98.828125
1.562500
0.000000
C=35 M=100 Y=35 K=10
CMYK
PROCESS
35.937500
100.000000
35.156250
8.984375
C=10 M=100 Y=50 K=0
CMYK
PROCESS
9.375000
99.218750
48.437500
0.390625
C=0 M=95 Y=20 K=0
CMYK
PROCESS
0.000000
94.140625
20.312500
0.000000
C=25 M=25 Y=40 K=0
CMYK
PROCESS
25.000000
24.609375
39.843750
0.000000
C=40 M=45 Y=50 K=5
CMYK
PROCESS
39.062500
44.140625
48.828125
6.250000
C=50 M=50 Y=60 K=25
CMYK
PROCESS
51.171875
50.781250
61.328125
22.656250
C=55 M=60 Y=65 K=40
CMYK
PROCESS
54.687500
59.765625
64.453125
39.843750
C=25 M=40 Y=65 K=0
CMYK
PROCESS
23.437500
39.062500
63.671875
1.562500
C=30 M=50 Y=75 K=10
CMYK
PROCESS
30.468750
49.609375
74.609375
9.375000
C=35 M=60 Y=80 K=25
CMYK
PROCESS
35.937500
59.765625
80.078125
23.437500
C=40 M=65 Y=90 K=35
CMYK
PROCESS
39.062500
64.062500
88.281250
35.156250
C=40 M=70 Y=100 K=50
CMYK
PROCESS
41.796875
69.140625
97.265625
48.828125
C=50 M=70 Y=80 K=70
CMYK
PROCESS
51.562500
69.921875
78.906250
68.750000
Grays
1
C=0 M=0 Y=0 K=100
CMYK
PROCESS
69.531250
67.187500
63.671875
73.828125
C=0 M=0 Y=0 K=90
CMYK
PROCESS
67.578125
61.718750
57.812500
45.312500
C=0 M=0 Y=0 K=80
CMYK
PROCESS
63.671875
55.468750
52.343750
27.343750
C=0 M=0 Y=0 K=70
CMYK
PROCESS
58.203125
49.218750
46.093750
14.843750
C=0 M=0 Y=0 K=60
CMYK
PROCESS
51.953125
42.578125
40.625000
6.250000
C=0 M=0 Y=0 K=50
CMYK
PROCESS
44.921875
35.937500
34.765625
1.171875
C=0 M=0 Y=0 K=40
CMYK
PROCESS
35.937500
28.125000
26.953125
0.000000
C=0 M=0 Y=0 K=30
CMYK
PROCESS
26.171875
19.921875
19.531250
0.000000
C=0 M=0 Y=0 K=20
CMYK
PROCESS
16.796875
12.109375
12.500000
0.000000
C=0 M=0 Y=0 K=10
CMYK
PROCESS
8.203125
5.859375
5.859375
0.000000
C=0 M=0 Y=0 K=5
CMYK
PROCESS
3.906250
2.343750
2.734375
0.000000
Brights
1
C=0 M=100 Y=100 K=0
CMYK
PROCESS
0.390625
98.828125
96.875000
0.000000
C=0 M=75 Y=100 K=0
CMYK
PROCESS
0.000000
74.218750
98.437500
0.000000
C=0 M=10 Y=95 K=0
CMYK
PROCESS
1.562500
8.593750
96.484375
0.000000
C=85 M=10 Y=100 K=0
CMYK
PROCESS
83.593750
9.375000
99.218750
0.781250
C=100 M=90 Y=0 K=0
CMYK
PROCESS
99.218750
87.109375
3.125000
0.000000
C=60 M=90 Y=0 K=0
CMYK
PROCESS
59.375000
89.453125
0.000000
0.000000
Adobe PDF library 10.01
endstream
endobj
78 0 obj <>stream
hޤVytSU%Ŋ߈y^ 3Zօed)HH6i6{t})e ᆌ:GqTp9gx7ܤ 3s9/[G#$%eKWN,SIxGi~қ)
FCm`UD5QO4zFx8E'No4ȵ
RVXSTMFeUФl*F^h6Uj*VErB澳MU5ֲrNQni*k*bFYP+V6P76
UƺzUe\%WW*5MYo!W5Օ*:Weu9QQq}Ef͚YTZq
gVhi]R:T*ZshB4+%RC,DA%8I!d ƑyNS=XkoQnT!쉌 & r09\|]~włÙ
^98gE`ZU{==la$;I0Dp AyaY1YybaQ~d&ʘG,Xjlv2S
{*Ѡ3ÑX5Ÿ¢)(N@hZ[
!&oQ}C"xpl>nnEc$t*qwk6L$zDEƶ=sy7dmIckc֣!iw&IfНts%0KB+J+(G@1ZQ1r0 I`!9S}ʜ;W5U#tHG/}]{Ov}pr
xGJQ=r) .EtŊҚtOq S/9|tCwl:;[=NotmB͌Òv.}XwO%7Ir,4OD71zG,n38]|C-FS@
]^@nh[J}%\]9]f^Ba
2cYx/c^"X3LP0XMH74%,~s͜I*dp NdAg=EL7Z7E,1WXxU;)E' .:
b)dqXyfz`s8M2cu3$H3QAՑ40PȆS^w0`¡8B}vc m'6~
c6Xe3^cƃ^OHgT^FxWجNuOɇ˸Qq{+V\ٚ|ǡlct-l3;ۍnv6?<v*VZLX4y6d
|>¼z o1?y"w A&B=Btx
v@/aCB/YUWehYtKf>]̴d0i7s79ԕKitǦgaQD|$zI0;&| ۳=i?f< A>=$ Mx75ك
(OĜk*۵'ރ(?}Uǹ>}JiU]{ٗ >o8L3h:
4܃Fq!1*B^) m')DDz,f
̳3Bg*pF3/`!$?shF^1 U($DprZL=W ;Aݙ/zA)lK8-K3"x ̢k-5@1GR밴٭휓w .V?ӳkٙVMmnۅmƆKP4C:c9ʗ2-k.6
kNT=נbMhpW}<*<-^-qG8=C _EPO'قB ~,gPSmqg|g?US]+۰M /8=+lٲ}3x۱tHsųoôXN8Wp;?>3}Zuvt}v"k+U|Km)Z8vpe$) C:;bsf^FuPػ%#Le
-\ ^{ȗ{E`?|~_eny/
x .98e.-LX~1/fsPehYAyz=[{M.<]0{9-Θ'Kv
\Q֢1)+'v&|BEݢ&\߂iǎk#>ઑ%
M,xI:/)Q/uy>;5 <$'::ߌ2L{a~Yӓ4"I:j-&ܿf*)Qpen0,2|d.!sh.~8گXTQq3]9@`7YlyÂx(-6NhѳWfKB5]W; +V^.i$RXҊ1`V,Iudˮ,|Nѓp]A+~2Y0e6?yp=}̣A;l;Be.y<\G3:mF5STz^,lmv\<
_<2-o 'b#srs9;|ᬩ+hHTY+A^5r B@ǨQx; |
endstream
endobj
27 0 obj<>
endobj
79 0 obj<>
endobj
80 0 obj <>stream
htwyXS6IZQ8Gj֪uuJ"" B @@ 1 *ζVZUڮ{9ϓ}wcAq7#B_3~;(
:WO:Q <&:&Iz D>{E+/}\6\axcx9~
ՁAۓdAqGKc#"ܷ7s$M/GyƹˤAp`͡QѲWG.BCAq+PXGWW'W:aaEFN:94:rx,X(P
n8㿜TNO,SKG"|EM:Ǝ/tw\и'W/jlqs˻^JK%vM|i~UՓO^9unngb&]7Cshd8]`J7a0'D_j)>BAo&Z
sݩ mlc`%laRL\cD
Qf;X 1&oطW$vGHܸdA[W^iShƟחJb1 t@EĐbw8-Jpi 'kZb##pjWTbu㰰Qz.u'xCM9
E5K-D O1:rCZP3`
7+6c*#NTIEYm]J6T`*̧&]&"3}y#am2gj:U~'Ynbmw| Nr YA,$/]?&E荝l+9x{f[´[;á`$#'b:^Yql99 n,% r
yѠ? {߳`cx帮93 M_ӳz>X7rx4CI873N~=@,Y#@@)wɣ!+)VoN?@ !ǣv/}<0E7ѤzN\|+eS]|IVA]GDSJ2֛HIniG^=R|LF=kE*Dz껇w G=;[ΟhpDm/YGl^$@|Ob?㿓-u./\WnOwIJ?4bsd-O.A _,38K췿"g2Rи+9RQ͚*?4FE/<=9(^~ۓ#Yg8nPp2]NIy+v[c",+p9J""qa)U6]`"#
VQO1oHP@> S-tunqI{{VɄQiPfc<m´/(zd@CAEδ@I7F$ [8 ^?mU*~Op^t*cf]0ϒy#yK;
&8K/a]eͮSkCVi,u7*,k#ʗIJͦ`ׁȤJΈa Sp8
A.C$隬(G%(D>0s-`wώtq%Ϟ"Av܇0nEtC3ۄs&
"9ׄ?Q@R5l,E,j!a'<kۑL09f+>bm=68EmWA=OdԐBhUuǛ-E>1C 3/eVRs
RJT/^%QkfCʖlW''tSCnv:yJ[ԑZ(MzL&5BSQn5{n}?S֦ۗ\6&Y.*s5yfwnVQ lp]+w9SLkxzb&Jy`KkBPvK\?|\v|fC
M.V@DXYTŠw;g0V\gGa@M9ls1#4B$M\ y<˯t0HBxBۀJ\TrcLtnN^ɏ*iSvo^Qo/pSǗ
،V7q6,\)Nt6"5ҵJ_,a$& :ixd/gF@GyVFh(#M/
rt]|ulT,Bi|4KƓnbcϲY
Oa<@37ԡ nC`1sփ^(cFuI
Qt˾$z8$t^I
lvErPgFDaH$W6a1Mk-,q0F?AHD(=eɛ^H"7vѕܪOca`KOv;G$ DڃyhKdu".#1Cgh