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050f8591be3874b52fdac4e1060eeb29-Supplemental-Conference.pdf

Neural Information Processing Systems

We study a generalization of boosting to the multiclass setting. We introduce a weak learning condition for multiclass classification that captures the original notion ofweak learnability asbeing "slightly better than random guessing".





An adaptive nearest neighbor rule for classification

Akshay Balsubramani, Sanjoy Dasgupta, yoav Freund, Shay Moran

Neural Information Processing Systems

Findthesmallest0 (n, k, ), where (n, k, )= c1 r logn+ log ( 1/ ) k . Then, withprobabilityatleast1 , theresultingclassifiergn satisfiesthefollowing: foreverypointx 2 supp(µ), if n C adv (x) max log 1 adv (x) , log 1 thengn(x)= g (x).