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Through the acquisition of a suitable distance metric, algorithms reliant on distance measurements can more effectively capture the inherent structure of data points, resulting in enhanced performance. In contrast to single metric learning methods, the effectiveness of multi-metric and geometric metric learning becomes evident in handling intricate data distributions and diverse data characteristics. These alternative approaches offer heightened flexibility and interpretability, making them especially valuable for representation learning in intricate non-linear multi-modal datasets. In this context, I provide a concise introduction to the concepts of distance metric learning and introduce methods for extending its applicability to high-dimensional spaces, graphs and manifolds.) /Pg 7 0 R /K [4] >> endobj 18 0 obj << /Type /StructElem /S /H2 /T (Tuesday, Sept. 17 3:45 pm PS 307) /E (Tuesday, Sept. 17 3:45 pm PS 307) /Pg 7 0 R /K [0] >> endobj 19 0 obj << /Type /StructElem /S /H4 /T (and) /E (and) /Pg 7 0 R /K [1] >> endobj 20 0 obj << /Type /StructElem /S /H5 /T (Zoom Meeting ID: 889 2242 8350) /E (Zoom Meeting ID: 889 2242 8350) /Pg 7 0 R /K [2] >> endobj 21 0 obj << /Type /StructElem /S /P /ActualText (For colloquium guests, refreshments begin at 3:15 pm) /Pg 7 0 R /K [3] >> endobj 22 0 obj << /ca 1 /BM /Normal >> endobj 23 0 obj << /Length 293 /N 3 /Filter /FlateDecode >> stream x}JԂ(28hiRpi"VSAOHStspu+.c(#ARx@?F[V[G@`*dK$O.K o@6`O,f'˘O asx0A6vf 8{c7%opZ:u Q 0Q٣F *Ԑ(SDGACAajgrx]s PxM cvhO> stream x]Eٻ#D@ (E AsV (3a AQ@%E%Kn'{=ӓvgv/1{~LOwO'԰aV RyH@[^<_WU8)գ6838)Syy 0oyGH(2x|Cs| $724說Sm} ACC7tUHrQ]QPȉ}C2gkSyrbAp7tM7|>+ e$8H7xZ^h11Μ)~P rk$]0^E)lL㝠>}rx-cc.R1 dJnԞ7>5m?`q&AL|4LzQ(#t25CJ w2RS'(pWVm0p#j1xke2bI>3eʼn2Lo5N (5&F4%eRC2܈m ,_&UD #L@ed8dPM,8S*LQ&Nʼn2 0T$hmfe2GY!sx%ͻSF"ϒIDI".՚7&MAqQƮj,QUAB2)Pw8HgdN(q=&rX]HZ)cı{^fR!S&F Gcb.kYlc29JVp~%Ĉ(2!9W^9YU0Umw|߫uy\' Tr#/∻{Ȃ!]5:oWu 'W + YJz_|f=G˳]P+>/?yOe wQ&$eree' 󟝹]iuㄻ=|(T;4׫&'sNrNwէ쉙OR[A:8pYYShyGuG .v܁(>@S.OUwuDP$2x#Wxd I(\4;E梌 GqA=QzV8{fq \mk1=Ñcۙ74kYXUFʇj4gr=)A?Na(2 !jnp^]<RF>/M7~YȼJzz@ZFQU͈{Vfof5Ϗ?5t >#AZ^vA#q_1kN)CyBUiw Tߡbb4ZZh"ʄU"u1Šǝ]3 U{LM!)J5pwQ&׽0 Uǩe&ُIW1ED*a;^븥3B){E*^WfJgjqtg5_N(pķVb4g5ΏEIN#ުwTjwvo]ӈRBhTH| q'!${w80!)ePmk*$Me0eh/݄0ޢ 8nk(2 _eמ!(#C?0'kzAPa1epo7~G v^c0eaǭ&%2 4'& b%k:uH]"$ `n7@Hr0! 1ȭMCŁ0ܫ\WQk^H% 7x3gd8ְIcon$c٫exR]+y)$ɴf=dtiCLY"$ ߔuL%2ȬlE4/1o,ZOA08KgP㾘#u?  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