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׸aE↠̄ +W#qYDo꡼jKStBxb[' LKI%BL_P(BA8Y| ʄz?a T@C>Sx\H#DH4r!bx%nztmI0}̠zó_$\&c,[4ۆn@UHyI>Be*9rD R?GN sw(x!PZ?RFu(u{ksdgu@&u%G:sI.b%MȗJ:(E׼Rmc #ƥ՗hMeB/x_b(7^\=, $V[L}nu (ESAB{ a>ڭ#,YR95WSsޞ(Cnw}"jP^ƺT`rfr '39d.Pxfz4Q92% % RSDDisDrJ@VyG)w ݘT,:{?'NZi>P@8&&/8?srA5[m Xx LIT^]*ornw7~vvS.|^< &t'^RʛMŒZb" 7Xv,4PmN YIef6}[ł9J:3}WQAiJՓ"mj;Θ5ʖmsm^eD=y`e{Z::Xع6!Ybm|N`eGd^OhvYǎ-N9B\)2wP|(sw,p\aw ̨6DԋrQߧS2CE2KYRdR莔i0=Ο"~:jk+gdGr*s }rd Kt#1L0=F.Ȼ1w]\O=t   ;v}1`S/1b\O#zy%&f7ߞ rpV; R܂%?SAtwqLbL#Ay/:ܧߓI@G2#K]Rhmޗ3}ؔu=jSvxhզ#ljP7NxM(ځ'3w*c"[8WwY'x',FDd{];zߙW-ĻQR D,X9ʝ\;1O_TOye]^ͪ(9>yy^ 3Q7l/-s[5ϟJTAތ*gRwܽEt;  AٱW.<`J[|[)reꗿHNߡ k>wgG.8]MGBᓑF(i 'H^K{]׏pW#jQpH!"GH|k+s1΢st^=;:L!۩OtT`n%$G(9S2wdv<V΍NiE3b˛C1qWL8 xC%X$;8٢aɅZֳ~m0'٢⑶"&}~@ o.裪NLzDoZ%woKE*3`"4y+a{zkx"]hAKor=d7Eb- ^d2Brv FViWy/1:o.K4,V 5/0V(5w"= CBHlKPqT#zosY޾5:Ъ69 r9r֥cuƳ)d3c Qq1/_[ubiA[:dqoy&l#ȣ+Yd"P%$| <O*c$\w/h5'LI3.u i/bcLBoȉUe:Q/pҫHOTOs`H7fĹn}ݥy &(kC7.iTligYuNtJOɞt K-0LG5^;;6(x6P=gH-!+ߛӯ*Ex)>P>G\eb9B9ThrжNҎ$;_e`'b*ɇV!TNЍMㄘ+)%`7#? endstream endobj 14 0 obj << /Type /StructElem /S /Part /P 8 0 R /Pg 7 0 R /K [25 0 R 15 0 R 16 0 R 17 0 R 18 0 R 19 0 R 26 0 R 27 0 R 20 0 R 21 0 R 28 0 R 29 0 R 30 0 R 22 0 R 23 0 R 24 0 R] >> endobj 15 0 obj << /Type /StructElem /S /Figure /P 14 0 R /Pg 7 0 R /K [10] >> endobj 16 0 obj << /Type /StructElem /S /H1 /T (Colloquium) /E (Colloquium) /Pg 7 0 R /K [8] >> endobj 17 0 obj << /Type /StructElem /S /H1 /T (Tensor Methods for Omics Data Analysis) /E (Tensor Methods for Omics Data Analysis) /Pg 7 0 R /K [5] >> endobj 18 0 obj << /Type /StructElem /S /P /E (Dr. Neriman Tokcan) /Pg 7 0 R /K [6] >> endobj 19 0 obj << /Type /StructElem /S /P /E (University of Massachusetts, Boston) /Pg 7 0 R /K [7] >> endobj 20 0 obj << /Type /StructElem /S /H5 /T (Omics data is transforming into a multidimensional landscape, driven by advancements that enable the simultaneous acquisition of information from various sources. A critical factor in this evolution is the rise of multi-omics approaches, which integrate data across different molecular levels. Additionally, the concurrent analysis of multiple samples under various conditions has led to the development of multi-sample multi-condition datasets, emphasizing another layer of complexity in genomic data. The influx of intricate, multidimensional omics data presents new challenges and opportunities for analysis.) /E (Omics data is transforming into a multidimensional landscape, driven by advancements that enable the simultaneous acquisition of information from various sources. A critical factor in this evolution is the rise of multi-omics approaches, which integrate data across different molecular levels. Additionally, the concurrent analysis of multiple samples under various conditions has led to the development of multi-sample multi-condition datasets, emphasizing another layer of complexity in genomic data. The influx of intricate, multidimensional omics data presents new challenges and opportunities for analysis.) /Pg 7 0 R /K [3] >> endobj 21 0 obj << /Type /StructElem /S /H5 /T (This presentation will introduce tensor methods as powerful analytical tools to address the complexities associated with these high-dimensional datasets. Tensors, which are multi-way arrays, extend traditional matrices into higher dimensions, allowing to capture multi-dimensional interactions among genomic variables such as genes, samples, conditions, and various omics platforms. We will cover the fundamentals of tensor algebra, including essential factorization techniques, and illustrate their applications in omics data analysis. This discussion will highlight their effectiveness in identifying gene expression modules, integrating multiple types of omics data, imputing missing values, and uncovering ligand-receptor interaction patterns.) /E (This presentation will introduce tensor methods as powerful analytical tools to address the complexities associated with these high-dimensional datasets. Tensors, which are multi-way arrays, extend traditional matrices into higher dimensions, allowing to capture multi-dimensional interactions among genomic variables such as genes, samples, conditions, and various omics platforms. We will cover the fundamentals of tensor algebra, including essential factorization techniques, and illustrate their applications in omics data analysis. This discussion will highlight their effectiveness in identifying gene expression modules, integrating multiple types of omics data, imputing missing values, and uncovering ligand-receptor interaction patterns.) /Pg 7 0 R /K [4] >> endobj 22 0 obj << /Type /StructElem /S /H2 /T (Friday, March 7 4:00 pm PS 307) /E (Friday, March 7 4:00 pm PS 307) /Pg 7 0 R /K [0] >> endobj 23 0 obj << /Type /StructElem /S /H3 /T (and) /E (and) /Pg 7 0 R /K [1] >> endobj 24 0 obj << /Type /StructElem /S /H4 /T (Zoom Meeting ID: 819 232 99449) /E (Zoom Meeting ID: 819 232 99449) /Pg 7 0 R /K [2] >> endobj 25 0 obj << /Type /StructElem /S /Figure /P 14 0 R /Pg 7 0 R /K [9] >> endobj 26 0 obj << /Type /StructElem /S /Figure /P 14 0 R /Pg 7 0 R /K [11] >> endobj 27 0 obj << /Type /StructElem /S /Figure /P 14 0 R /Pg 7 0 R /K [12] >> endobj 28 0 obj << /Type /StructElem /S /Figure /P 14 0 R /Pg 7 0 R /K [13] >> endobj 29 0 obj << /Type /StructElem /S /Figure /P 14 0 R /Pg 7 0 R /K [14] >> endobj 30 0 obj << /Type /StructElem /S /Figure /P 14 0 R /Pg 7 0 R /K [15] >> endobj 31 0 obj << /ca 1 /BM /Normal >> endobj 32 0 obj << /Type /ExtGState /ca 0.0 >> endobj 33 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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