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"> 0>D5Aѡ" 0!  .5)M c*e\ Talk overview* n' 2 ::Pr en , Eie>ѡ-R CC1V "DWZbjS5 -A@>2 05 1"0...5 *=tProvide a brief mathematical5 of the unfolding problem and our uncertainty quantification (UQ) objective, characterize how two types of systematic uncertainties, regularization bias and wide-bin bias, affect our UQ objective, and present a framework and methods that can address these challenges* A!J r N!f=ż6QA  D oDoDA %vMW( AATiKWM.: 0B2 Q"0 U[* *lNJ$=.F$  H  "decimal ' 4 *!W0D* *JJ-ZPKV8T Index/Slide-2652333.iwa 'urk"  -*T׉䉣剣扣牣艣Ѭ WZ]`cfd"31B/ Transitionnone?)p?0X*2: ::ѬP:/D UdWXYZ[ !9!=!A牣!I <) )$f( $8B (J Z!aw, All at Onc13"E )8dN@0 Inapple:bc-appear>b\Xç( 7 4<)!#:նnIv] IZ<6<-%<2-9Q4Xǽ(ccL҂̤Ӱѐ cRcO >c?(0: ۸BRvaM Jat0: ɂѧ!͇BR:_J__Hͽχ˔y_JE >)T"  "    @ *   R  BB @DjBC%*h%@A-?0(8RWZb`h1eh*b.STT  ?)>]) "> 0>D5A" 0!  .5)M(*/The unfolding problem and density deconvolu* I 2 ! : `Pr en , E>-R CC1} "DWZbjS5 -Ag>2 0941"0...=*:Our goal is to estimate a true (unknown) AabiliAistribuA> for some variable of interest (e.g., energy) via a finite-resoIJ@ detector observaZs*QE\= 6Q\NAT  DF oDoDAT FMFW8$ AA8RWM&:B 0B2F QF"0  [* M!4 *1^J$=.F$  H  "decimal:j 31 $ ԬլGG;C=a rbD<&C RSZ^!a" Kt8J @DDZGbGd-5 0:`B0.-..C <-k "F  E !S@ǬADe]A 0CC- zATZ_!Tb} S OBb 2  : r "0.3.,u+ d*m+q'<Kuusela, 2016.*q(C 9D  9CS!|-%tB TZ_-b4 *. S Zk u"0\.u.,=IBFC9v;i;.;][C)=p!v YD;TZ_-v:;Sm֞;z;"a;..,**2z 8jThere are many|spectra that could result in this same smeared /um, mak the" ill-posedy/  ͥIn *@]0D*JUJ-Z_PKÀV]y_Index/Slide-2660647.iwai>7"  -*  "31B/ Transitionnone?)  T"  "    @ *   R  BC @DC%!Lh%@A-?0(8RWZb`h1eh*b.S T  !6 ":C + >D5" 00  .5)M`* Thank you!* k$ 2 :7Pr en , =%61Ԏ!  D% oDzD.[%-n-W= AAb B. B6Bn"0 5 [* -a-*1t^J$=.F$  M H  "decimalCe < # "Uax  iw ev<Ǭ:s,!̼ase_AanRTZ_-b=S Bb2 B6r"0._. ,5* - 14lAnd special ta[s to the NSF AI Planning Institute for Data-Driven Discovery in Physics for travel support.*Q)ZBa  Y.U$a  X ^ j kF|E*> 0.BU0A^ CRWZbM^e]^S>^@Q> u>:J@"0.N.. I*M_M[*1Z.F 6 *!0D*>J-ZPKİVCIndex/Slide-2661009.iwae:3"  -* "31B/ Transitionnone?)  T"  "    @ *   R  BB @DB%!Hh%@A-?0(8RWZb`h1eh*b.STT  ?)) "> 0>D5!" 00  .5)M`* References* k$ 2 :7Pr en , E%پ-R CC1S "DWZbjS5 -A=>2 05 1"0..,.%58 *%5G. D’Agostini. A multidimensional unfolding method based on bayes’ theorem. Nuclear Instruments and Methods in Physics Research A, 362:487–498, 1995. Andreas Höcker and Vakhtang Kartvelishvili. Svd approach to data,72:469–4816. Mikael Kuusela. Uncertainty quantification in elementary particle spectra at the Large Hadron Collider. PhD thesis, École Polytechnique Fédérale de Lausanne, 7 2016. Bert W. Rust and Dianne P. O’Leary. Confidence intervals for discrete approximations to ill-posed problems. Journal of ComputatIMA Graphical Statistics, 3(1):67–96, 1994. Michael(nley, 6z,O,Pratik Patilr$for wide-b.p: one-at-a-time strict boundsaDprior optimized coF%. JINST. 2022. Philip B. Stark. InferC iAfinite-.gHinverse problems: D)tizIK!;,duality. Jou1a GeopeT al RmUX, 97(B10):14055–14082E 2.
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