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Confidence-Based Active Learning

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Presents a reduction from agnostic active learning to a confidence-rated predictor with nonzero error guarantee and gives an LP to construct that predictor (per-example alpha/beta abstain probabilities). Shows consistency and a label-complexity bound that replaces the disagreement coefficient by a smaller quantity sigma, recovering margin-based rates for log-concave / spherical data and improving over disagreement-based bounds; algorithm is asymptotically better but not yet computationally practical.

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  1. 0:00Start
  2. 1:44Challenge: Acquiring Labeled Data
  3. 3:13Why Active Learning Helps?
  4. 6:03Agnostic Active Learning: Challenge
  5. 7:03Disagreement-based Active Learning
  6. 7:31Margin-based Active Learning
  7. 8:20Confidence-Rated Predictor (CRP)
  8. 9:10CRP with Guaranteed Error EW10
  9. 10:15Confidence-Based Active Learning
  10. 10:51Definition: Confidence Sets for c
  11. 11:35How to construct confidence sets?
  12. 11:58Active Learning via CRP
  13. 17:31Algorithm Outline
  14. 17:41Consistency Guarantees
  15. 18:30Label Complexity: Agnostic Case Parameters: Target error e VC dimension d Error of best cinc
  16. 21:53Linear Classification on Logconcave Distribution on Sphere
  17. 22:45Conclusions
  18. 23:41Open Question
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