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%(Df' =%(D' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =%(D' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(++0+ ++0+ ++0+ ++0+ ++0+  ++0+  ++0+  ++0+  ++0+ ++0+ ++0+ ++0+ +" @ (     l7?6Slide Number Placeholder 3"@aYH@___PPT9"@  *.           x@"0e0e?Rectangle 2%a_   IOutline     x@x0e0e?Rectangle 3b  EIntroduction Business motivation and different wallet definitions Modeling approaches for conditional quantile estimation Local and global models Empirical evaluation MAP (Market Alignment Program) Description of application and goals The interview process and the feedback loop Evaluation of Wallet models performance in MAP 5 8 -    58-   F@` xx-т___PPT10i.?ϵ+D=' = @B +"@  G ? P $' (  $ $ l7?6Slide Number Placeholder 3"@aYH@___PPT9"@  *.        0 $  x 70e0e?Rectangle 2%a_   d"What is Wallet (AKA Opportunity)?# # #w $  x4v0e0e?Rectangle 3  MTotal amount of money a company can spend on a certain category of products. N N N @` v 0@p  $C (Group 4"F 3 $ ``:?Rectangle 5"@0@p  Company Revenue 4( E3C  + $ `:?Rectangle 6"@PP   IT Wallet 6(  G3C    $ `:?Rectangle 7"@pp  q IBM Sales& (  G3   $ L:1?Text Box 8"@A -a RIBM sales IT wallet Company revenued*(  ff fff *  xx-т___PPT10i.8~+D=' = @B +"    `( (  ( ( l :?6Slide Number Placeholder 3"@aYH@___PPT9"@  *.        . (  x@:0e0e?Rectangle 2%a_   b Why Are We Interested in Wallet?! ! ! (  x:0e0e?Rectangle 3  (Customer targeting Focus on acquiring customers with high wallet Evaluate customers growth potential by combining wallet estimates and sales history For existing customers, focus on high wallet, low share-of-wallet customers Sales force management Make resource assignment decisions Concentrate resources on untapped Evaluate success of sales personnel and sales channel by share-of-wallet they attain   # " U #"U  `r ( `:1?AutoShape 4i  N    ( R:1?Text Box 5"@GI  fOnTarget      ( R|1?Text Box 6"@m 0i aMAP   r ( `@:1?AutoShape 7U q N    xx-т___PPT10i.80.K+D=' = @B +" p,(  , , l:?6Slide Number Placeholder 3"@aYH@___PPT9"@  *.        % ,  x``A0e0e?Rectangle 2%a_   YWallet Modeling Problem   ,  xaA0e0e?Rectangle 3  Given: customer firmographics x (from D&B): industry, emloyee number, company type etc. customer revenue r IBM relationship variables z: historical sales by product IBM sales s Goal: model customer wallet w, then use it to  predict present/future wallets No direct training data on w or information about its distribution!  O D 3J(32' G@` xx-т___PPT10i.9y+D=' = @B +"  #  0 (  0 0 l@bA?6Slide Number Placeholder 3"@aYH@___PPT9"@  *.        . 0  xcA0e0e?Rectangle 2%a_   b Historical Approaches within IBM! ! ! 0  x@eA0e0e?Rectangle 3  &(Top down: this is the approach used by IBM Market Intelligence in North America (called ITEM) Use econometric models to assign total  opportunity to segment (e.g., industry geography) Assign to companies in segment proportional to their size (e.g., D&B employee counts) Bottom up: learn a model for individual companies Get  true wallet values through surveys or appropriate data repositories (exist e.g. for credit cards) Many issues with both approaches (won t go into detail) We would like a predictive approach from raw data^ Z Z2 Zh Z8 Z2 ZVPa )h82  @` xx-т___PPT10i.:P +D=' = @B +"b  ia4I(  4 4 l7?6Slide Number Placeholder 3"@aYH@___PPT9"@  *.        8 4  x@hA0e0e?Rectangle 2%a_   l*Traditional Approaches to Model Evaluation+ + +. 4  x}0e0e?Rectangle 3  bEvaluate models based on surveys Cost and reliability issues Evaluate models based on high-level performance indicators: Do the wallet numbers sum up to numbers that  make sense at segment level (e.g., compared to macro-economic models)? Does the distribution of differences between predicted Wallet and actual IBM Sales and/or Company Revenue make sense? In particular, are the % we expect bigger/smaller? Problem: no observation-level evaluation!  < H !<  i @` xx-т___PPT10i.:P +D=' = @B +"   8 (  8 8 liA?6Slide Number Placeholder 3"@aYH@___PPT9"@  *.        9 8  xlA0e0e?Rectangle 2%a_   m+Proposed Hierarchical IT Wallet Definitions, , , 8  xmA0e0e?Rectangle 3  `TOTAL: Total customer available IT budget Probably not quantity we want (IBM cannot sell it all) SERVED: Total customer spending on IT products covered by IBM Share of wallet is portion of this number spent with IBM? REALISTIC: IBM sales to  best similar customers This can be concretely defined as a high percentile of: P(IBM revenue | customer attributes) Fits typical definition of opportunity? REALISTIC SERVED TOTAL T, Z7 Z> Z: Z1 Z Z Z3$737+ 3'9%) 33 333 @`v 0@p  8C (Group 4"% 7l4 8 `A?Rectangle 5"@0@p   TOTAL B ( G3CC  3 8 ` A?Rectangle 6"@PP   SERVED B ( G3CC   8 `@A?Rectangle 7"@pp  o REALISTIC$ (  G3   xx-т___PPT10i.F?+D=' = @B +"H }} 7 /  < (  < < l@A?6Slide Number Placeholder 3"@aYH@___PPT9"@  *.        6 <  x@:0e0e?Rectangle 2%a_   j(An Approach to Estimating SERVED Wallets) ) ) <  x}0e0e?Rectangle 3P  Wallet is unobserved, all other variables are Two families of variables --- firmographics and IBM relationship are conditionally independent given wallet We develop inference procedures and demonstrate them Theoretically attractive, practically questionable (Will not discus further)t Z ZF 33  @`2 < \A331?Oval 4"@%6 nCompany firmographics   ~B < V1?Line 56~B < V1?Line 6Z 2 < \A1?Oval 7"@ !b iIT spend with IBM   2  < \A1?Oval 8"@ y!Historical relationship with IBM" " " ~B  <@ V1?Line 9B  < X?Line 10 I2  < ^A1?Oval 11"@6R \ e SERVED Wallet    xx-т___PPT10i.6p +D=' = @B +"      (    ljA?6Slide Number Placeholder 4"@aYH@___PPT9"@  *.           xA0e0e?Rectangle 2  RDistribution of IBM sales to the customer given customer attributes: s|r,x,z ~ fq,r,x,z E.g., the standard linear regression assumption: What we are looking for is the pth percentile of this distribution^ G T4$!  @`  )""wA  ?? gaussPicture 3gauss)NE 9   xD0e0e?Rectangle 4%a_   m+REALISTIC Wallet: Percentile of Conditional, , , 0 3 A ?!1 ?Object 5"`\6 (  B  \1?Line 67    R`D1?Text Box 7"@ ;  t E(s|r,x,z)(    xB   P1?Line 8=     R@D1?Text Box 9"@ O   a REALISTIC      xx-т___PPT10i.Gp+D=' = @B +"  @(  @ @ l dA?6Slide Number Placeholder 3"@aYH@___PPT9"@  *.        @ @  xD0e0e?Rectangle 2%a_   t2Estimating Conditional Distributions and Quantiles3 3 3i @  x D0e0e?Rectangle 3z VN___PPT90( ?Assume for now we know which percentile p we are looking for First observe that modeling well the complete conditional distribution P(s|r,x,z) is sufficient If have good parametric model and distribution assumptions can also use it to estimate quantiles E.g.: linear regression under linear model and homoskedastic iid gaussian errors assumptions Practically, however, may not be good idea to count on such assumptions Especially not a gaussian model, because of statistical robustness considerations Za Z] ZH ZR Zc 33' ! HR @` xx-т___PPT10i.nE'L+D=' = @B +"f  meDM(  D D lD?6Slide Number Placeholder 3"@aYH@___PPT9"@  *.        0 D  x`D0e0e?Rectangle 2%a_   d"Modeling REALISTIC Wallet Directly# # #: D  xD0e0e?Rectangle 3  nDREALISTIC defines wallet as pth percentile of conditional of spending given customer attributes Implies some (1-p)% of the customers are spending full wallet with IBM Two obvious ways to get at the pth percentile: Estimate the conditional by integrating over a neighborhood of similar customers Take pth percentile of spending in neighborhood Create a global model for pth percentile Build global regression models` G /  AG  Q( ! @` xx-т___PPT10i.nE'L+D=' = @B +" H(  H H l!?6Slide Number Placeholder 4"@aYH@___PPT9"@  *.        / H  x#0e0e?Rectangle 2%a_   c!Local Models: K-Nearest Neighbors" " " H  x$0e0e?Rectangle 3t {  Design distance metric, e.g.: Same industry Similar employees/revenue Similar IBM relationship Neighborhood sizes (k): Neighborhood size has significant effect on prediction quality Prediction: Quantile of firms in the neighborhood A  ?  & A? &  %@` H f&?AutoShape 4mMz N    H f '?AutoShape 5  N   2 H \@(?Oval 6jM} N    H X`)?Text Box 7m - hIndustry (      H R*?Text Box 8}c  i Employees (      H X3_+?Text Box 9{;n  i IBM spend (    zB  H@ R?Line 100??  H T-o?Text Box 11 .Universe of IBM customers with D&B information"/ /c / zB  H R?Line 12}  H T`/o?Text Box 13 d  Neighborhood of target company" c   H No?Text Box 14-w tTarget company i" c    H@ ZZ?Text Box 16"@ U  i Frequency (      H T?Text Box 17"@" i IBM Sales (      H # A ??Picture 18 8d  H T@?Text Box 19"@ v  qWallet Estimate (    zB H R1?Line 20  H b`:?Rectangle 21"@E 5 N    xx-т___PPT10i.+ +D=' = @B +" (    l?6Slide Number Placeholder 5"@aYH@___PPT9"@  *.        ;   x`0e0e?Rectangle 2%a_   o-Global Estimation: the Quantile Loss Function. . .   x0e0e?Rectangle 3  4Our REALISTIC wallet definition calls for estimating the pth quantile of P(s|x,z). Can we devise a loss function which correctly estimates the quantile on average? Answer: yes, the quantile loss function for quantile p. This loss function is optimized in expectation when we correctly predict REALISTIC: \5 : ] \( 5 @` 0 C A ?!1 ?Object 4"` (   0 C A ?!1 ?Object 5"` jRC(   xx-т___PPT10i.:P +D=' = @B +"      Lg (  L L l@?6Slide Number Placeholder 3"@aYH@___PPT9"@  *.         L 3 A  ?? quantPicture 2quantV * L  x`0e0e?Rectangle 3%a_   ^Some Quantile Loss Functions   L L1?Text Box 4"@n%  N   v (  LC (Group 5" B  L P1?Line 6RvRB  L V1?Line 7>>  L L 1?Text Box 8"@  qp=0.8 p=0.5 (absolute loss)     L `@1?Rectangle 9"@(  N    L N1?Text Box 10"@`  P    L N 1?Text Box 11"@` uResidual (observed-predicted)    xx-т___PPT10i.`_+D=' = @B +"     q (     l?6Slide Number Placeholder 4"@aYH@___PPT9"@  *.        !   x0e0e?Rectangle 2aY   UQuantile Regression     x`0e0e?Rectangle 3s  nSquared loss regression: Estimation of conditional expected value by minimizing sum of squares Quantile regression: Minimize Quantile loss: Implementation: assume linear function in some representation y = bt f(x,z), solution using linear programming Linear quantile regression package in R (Koenker, 2001) F         3       8  8%@`    xA ? 1?Object 4"6@`NNN?N  "  fમ1?AutoShape 5"@ I  N     L1?Text Box 6"@  !quantile regression loss function" "! &  0 S A ? 1?Object 7"6@`NNN?NL ,(     TA ?!1 ?Object 8"` Yjk   xx-т___PPT10i.}+D=' = @B +" T [S0P;(  P P l@?6Slide Number Placeholder 5"@aYH@___PPT9"@  *.        d P  x0e0e?Rectangle 2aQ   VQuantile Regression Tree  Local or Global?, , ,r P  x`D0e0e?Rectangle 3gy  Motivation: Identify a locally optimal definition of neighborhood Inherently nonlinear Adjustments of M5/CART for Quantile prediction: Predict the quantile rather than the mean of the leaf Empirically, splitting/pruning criteria do not require adjustment^ L 0 x  L0x %@`z P RA ??Picture 4 L xx-т___PPT10i.:P +D=' = @B +" N  UM@T5(  T T l ?6Slide Number Placeholder 3"@aYH@___PPT9"@  *.        > T  xD0e0e?Rectangle 2%a_   r0Aside: Log-Scale Modeling of Monetary Quantities1 1 1 T  x`D0e0e?Rectangle 3  HDue to exponential, very long tailed typical distribution of monetary quantities (like Sales and Wallet), it is typically impossible to model them on original scale, because e.g.: Biggest companies dominate modeling and evaluation Any implicit homoskedasticity assumption in using fixed loss function is invalid Log scale is often statistically appropriate, for example if % change is likely to be  homoskedastic Major issue: models ultimately judged in dollars, not log-dollars& B Z Z Z @` xx-т___PPT10i.Ey,+D=' = @B +"5  < 4 PX (  X X l`?6Slide Number Placeholder 3"@aYH@___PPT9"@  *.        1 X  x0e0e?Rectangle 2a   e#Empirical Evaluation: Quantile Loss$ $ $ X  x@0e0e?Rectangle 3}^  <Setup Four domains with relevant quantile modeling problems: direct mailing, housing prices, income data, IBM sales Performance on test set in terms of 0.9th quantile loss Approaches: Linear quantile regression, Q-kNN, Quantile trees, Bagged quantile trees, Quanting (Langrofd et al. 2006 -- reduces quantile estimation to averaged classification using trees) Baselines Best constant model Traditional regression models for expected values, adjusted under Gaussian assumption (+1.28s). Zb Z  Zs Z7 33 ̙'33̙ f] p @` xx-т___PPT10i.s@&-+D=' = @B +" `\|(  \ \ l?6Slide Number Placeholder 3"@aYH@___PPT9"@  *.        z \ RA??Picture 3*x * \  x0e0e?Rectangle 2a   ^Performance on Quantile Loss   \  ~0e0e?Rectangle 5 ^  ?Conclusions Standard regression models are not competitive If there is a time-lagged variable, LinQuantReg is best Otherwise, bagged quantile trees (and quanting) perform best Q-kNN is not competitive*     @` \ Z8c?Rectangle 6"@m:  N    \ Z 8c?Rectangle 4"@@+  N    xx-т___PPT10i.s["2+D=' = @B +" p`(  ` ` l@?6Slide Number Placeholder 3"@aYH@___PPT9"@  *.        / `  x`0e0e?Rectangle 2%a_   c!Residuals for Quantile Regression" " " ` 3 A??quant-resPicture 3quant-res  B ` \1?Line 4  ` L1?Text Box 5"@%n 6Total positive holdout residuals: 90.05% (18009/20000)7 7 7  xx-т___PPT10i.+ +D=' = @B +" dq(  d d l?6Slide Number Placeholder 3"@aYH@___PPT9"@  *.        8 d  x !0e0e?Rectangle 2a2   l*Market Alignment Project (MAP): Background+ + +V d  x T0e0e?Rectangle 3  MAP - Objective: Optimize the allocation of sales force Focus on customers with growth potential Set evaluation baselines for sales personal MAP  Components: Web-interface with customer information Analytical component: wallet estimates Workshops with Sales personal to review and correct the wallet predictions Shift of resources towards customers with lower wallet share T |   | y@` xx-т___PPT10i.Y+D=' = @B +"  ""h(  h h l@.?6Slide Number Placeholder 2"@aYH@___PPT9"@  *.        0 h  `/?A?BouquetRectangle 2Bouquet#" ``@Ee T(    h `0̙?Rectangle 3"@`Ee T(    h `1?Rectangle 4"@ Ee0  N    h `3?Rectangle 5"@Ee  \"(     h T 4?Rectangle 6"@%   N   N h  x@50e0e?Rectangle 72al   >MAP Tool Captures Expert Feedback from the Client Facing Teams? ? ? B  h Z`6?AutoShape 8 uu  Transaction Data.( ""   B  h Z7?AutoShape 9 55  xD&B Data. ( ""   B  h h8?AutoShape 10@   $Wallet models: Predicted Opportunity %( %"  % zB  h R?Line 11P zB  h R?Line 12P B h X>?Line 13 u5 B h \`<?AutoShape 14 U  Resource Assignments.( ""   B h X>?Line 15 5 zB h R?Line 16 P  B h \??AutoShape 17@  ~Expert validated Opportunity ( "   tB h L?Line 18 U 5  zB h R?Line 19 5 5  zB h RV?Line 20P  p h JP?Rectangle 21"@Z  xAnalytics and Validation(    h P Q?Rectangle 22"@ g5p  Data Integration2(     h J@R?Rectangle 23"@e |Insight Delivery and Capture(   2 h VS?AutoShape 24"@   N    h PT?Rectangle 25"@ k G  qPost-processing (   2 h RV?Oval 26"@`t rMAP Interview Team(    2 h R W?Oval 27"@` ht }Client Facing Unit (CFU) Team(   B h VX?AutoShape 28"@  ` N   zB h Ro?Line 29eeB h ^jJ?Line 30   h J@[?Rectangle 31"@  i Web Interface(   j !h P`\?Rectangle 32"@ 0 xMAP interview process  all Integrated and Aligned Coverages"=( =  =  "h N]?Text Box 33"@>B 6The objective here is to use expert feedback (i.e. validated revenue opportunity) from from last year s workshops to evaluate our latest opportunity models    xx-т___PPT10i.4>E8N+D=' = @B +" l(  l l l`,?6Slide Number Placeholder 3"@aYH@___PPT9"@  *.        $ l  x,0e0e?Rectangle 2a   XMAP Workshops Overview   l  x#0e0e?Rectangle 3MX2  'sCalculated 2005 opportunity using naive Q-kNN approach 2005 MAP workshops Displayed opportunity by brand Expert can accept or alter the opportunity Select 3 brands for evaluation: DB2, Rational, Tivoli Build ~100 models for each brand using different approaches Compare expert opportunity to model predictions Error measures: absolute, squared Scale: original, log, rootnJ ZJ Z Z> ZJJr0> t@` xx-т___PPT10i.+D=' = @B +" p(  p p l *?6Slide Number Placeholder 4"@aYH@___PPT9"@  *.        & p  x%0e0e?Rectangle 2An   ZInitial Q-kNN Model Used   p  x,0e0e?Rectangle 3# C  Distance metric Identical Industry Euclidean distance on size (Revenue or employees) Neighborhood sizes 20 Prediction Median of the non-zero neighbors (Alternatives Max, Percentile) Post-Processing Floor prediction by max of last 3 years revenue  F ! @  0  F @+ %@` v m d  pC (Group 4"kG5  p f]?AutoShape 5mMz N    p f_?AutoShape 6  N   2 p \`p?Oval 7Mj} N     p Xq?Text Box 8m - hIndustry (      p Rr?Text Box 9}c  i Employees (      p Z3_s?Text Box 10{;E  gRevenue(   B  pB R?Line 110??  p Tuo?Text Box 12 .Universe of IBM customers with D&B information"/ /c / B p R?Line 13}  p Tyo?Text Box 14 d  Neighborhood of target company" c   p Nzo?Text Box 15-w tTarget company i" c    xx-т___PPT10i.+ +D=' = @B +"    t (  t t l}?6Slide Number Placeholder 3"@aYH@___PPT9"@  *.         t A??MODEL_OPPTYPicture 2MODEL_OPPTYDUyA t  x0e0e?Rectangle 3Ga   u3Expert Feedback (Log Scale) to Original Model (DB2)4 4 42 t P8c?Oval 4"@ BP N    t Fࡉ?Text Box 5"@ G &Experts reduce opportunity to 0 (15%)' ' ' xB t@ P?Line 6 DExB t P?Line 7(   t Fउ?Text Box 8"@A & | Experts accept opportunity (45%)! ! !   t L`?Text Box 9"@  | Experts change opportunity (40%)! !33 ! zB  t R?Line 10- ;zB  t@ R?Line 112   t H`?Text Box 12"@  jIncrease (17%) 33   t H?Text Box 13"@   jDecrease (23%) 33   xx-т___PPT10i. `L+D=' = @B +" x(  x x l@{?6Slide Number Placeholder 3"@aYH@___PPT9"@  *.         x  x|0e0e?Rectangle 2%a_   N Observations    x  x'0e0e?Rectangle 3  HMany accounts are set for external reasons to zero Exclude from evaluation since no model can predict this Exponential distribution of opportunities Evaluation on the original (non-log) scale suffers from huge outliers Experts seem to make percentage adjustments Consider log scale evaluation in addition to original scale and root as intermediate Suspect strong  anchoring bias, 45% of opportunities were not touched 3 8 * F ,  38*F,  @` xx-т___PPT10i.+D=' = @B +" |(  | | l?6Slide Number Placeholder 3"@aYH@___PPT9"@  *.        ! |  x0e0e?Rectangle 2%a_   UEvaluation Measures   |  x 0e0e?Rectangle 3  Different scales to avoid outlier artifacts Original: e = model - expert Root: e = root(model) - root(expert) Log: e = log(model) - log(expert) Statistics on the distribution of the errors Mean of e2 Mean of |e| Total of 6 criteria- o -   -o-   @` xx-т___PPT10i.p+D=' = @B +"Y XXMMX(    l B?6Slide Number Placeholder 3"@aYH@___PPT9"@  *.        &   x@B0e0e?Rectangle 2 _Z   ZModel Comparison Results  vR  C (Group 33"F&PK!^[Content_Types].xmlAN0EH] tA*ٓj2<&i˂E,-ZQy*@2:k}*da< us}UmYdCJAk6N8Af=UYi)!"-^@t+ S6ƕoQ9JBLVM\sUysnJ7U|Il2\PU&<.~[m'E;Vx PK!8! _rels/.relsj0 }qN/k؊c[F232zQLZ%R6zPT]( LJ[ۑ̱j,Z˫fLV:*f"N.]m@= 7LuP[i?T;GI4Ew=}3b9`5YCƵkρؖ9#ۄo~e?zrPK!Z? 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֫KμS%&J4DRT;'ηC%69NŝrNpQ].^޶Q|qug+ml:l@ /~r[$7.^PK-![Content_Types].xmlPK-!Z,[ _rels/.relsPK-!8drs/downrev.xmlPK K T31?Text Box 74"@ g (Anchoring)      L T41?Text Box 75"@   b(Best) 33  < M N61?Text Box 76"@0 VWe count how often a model scores within the top 10 and 20 for each of the 6 measures:W W W  xx-т___PPT10i.@+D=' = @B +"  j(    l`C?6Slide Number Placeholder 3"@aYH@___PPT9"@  *.        )   x@C0e0e?Rectangle 2a   ]MAP Experiments Conclusions  ^   x C0e0e?Rectangle 3Y87  Q-kNN performs very well after flooring but is typically inferior prior to flooring 80th percentile Linear quantile regression performs consistently well (flooring has a minor effect) Experts are strongly influenced by displayed opportunity (and displayed revenue of previous years) Models without last year s revenue don t perform well Use Linear Quantile Regression with q=0.8 in MAP 06@Q 4 V4  @` xx-т___PPT10i.*e+D=' = @B +"y  x0`(    lC?6Slide Number Placeholder 3"@aYH@___PPT9"@  *.        !   xB0e0e?Rectangle 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Textures on the opening screen carry through the blue bands on text slides. - Blue Onyx Deluxe relies heavily on black for maximum contrast, particularly in projection. Blue Onyx Basic, Blue Pearl Basic: Intended for basic internal presentations. 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  $,4< D On-screen Show (4:3) Sam Lin, Palisades, New YorkIBMN " )Arial WingdingsTimes New RomanSymbol~Research Blue Pearl DeLuxe1_~Research Blue Pearl DeLuxeMicrosoft Equation 3.0SCustomer Wallet and Opportunity Estimation: Analytical Approaches and ApplicationsSlide 2Outline#What is Wallet (AKA Opportunity)?!Why Are We Interested in Wallet?Wallet Modeling Problem!Historical Approaches within IBM+Traditional Approaches to Model Evaluation,Proposed Hierarchical IT Wallet Definitions)An Approach to Estimating SERVED Wallets,REALISTIC Wallet: Percentile of Conditional3Estimating Conditional Distributions and Quantiles#Modeling REALISTIC Wallet Directly"Local Models: K-Nearest Neighbors.Global Estimation: the Quantile Loss FunctionSome Quantile Loss FunctionsQuantile Regression,Quantile Regression Tree Local or Global?1Aside: Log-Scale Modeling of Monetary Quantities$Empirical Evaluation: Quantile LossPerformance on Quantile Loss"Residuals for Quantile Regression+Market Alignment Project (MAP): Background?MAP Tool Captures Expert Feedback from the Client Facing TeamsMAP Workshops OverviewInitial Q-kNN Model Used4Expert Feedback (Log Scale) to Original Model (DB2) ObservationsEvaluation MeasuresModel Comparison ResultsMAP Experiments ConclusionsMAP Business ImpactSummary Thank you!  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