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Real-time Ranking with Concept Drift Using Expert Advice  Hila Becker and Marta Arias Center for Computational Learning Systems Columbia University
Dynamic Ranking ,[object Object],[object Object],[object Object],[object Object],[object Object]
Problem Setting + + + - + - - - time + + + - + - - - + + + - + - - - + + + - + - - - ? . . . t-1 t 1 2 3 ? ? ? ? ? ? ? M + Feature Vector x = x 1 ,x 2 ,…,x n Label   y
Challenges  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Concept Drift + + + + + - + + - - - - - - time
Ensemble Methods time
Weighted Expert Ensembles ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Weighted Majority Algorithm e 1 . . . e 2 e 3 e N N Experts 1 0 0 1 ? w 1 *1 + w 2 *0 + w 3 *0 +  . . .  + w N *1 >0.5 <0.5 1 0 1
Modified Weighted Majority ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Online Ranking Algorithm  e 1 . . . e 2 e 3 e B w 1 w 2 w 3 w B ? F1 F4 F3 F2 F5 F4 F2 F1 F3 F5 F1 F3 F5 F4 F2 F1 F3 F4 F2 F5 F1 F3 F4 F2 F5 F3 F1 F4 F2 F5 e B+1 e B+2 w B+1 w B+2
Performance – Summer 05
Performance – Winter 06
Contributions ,[object Object],[object Object],[object Object],[object Object],[object Object]
Future Work ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Ensemble Methods ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Ensemble Pruning ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Dealing with a moving set of experts ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Performance Metric ranking outages pAUC=17/24=0.7 0 8 0 7 0 6 1 5 0 4 1 3 1 2 0 1 8 7 6 5 4 3 2 1 1 2 3
Budget Variation
Data Streams ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

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Real-time ranking with concept drift using expert advice

Editor's Notes

  1. Given an infinite amount of continuous measurement, how do we model them in order to capture possibly time-evolving trends and patterns in the stream, compute the optimal model and make time critical decisions.
  2. Compute weighted average, divide into bins [i/epsilon,i+1/epsilon], compute the mean and std. div for the bin and check if can make confident prediction. (Fx-mean-std*t &gt; cost/transaction
  3. here, the rules of the game change