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Passive Learning with Target Risk
Published on Aug 09, 20132807 Views
In this paper we consider learning in passive setting but with a slight modification. We assume that the target expected loss, also referred to as target risk, is provided in advance for learner as pr
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Chapter list
Passive Learning with Target Loss00:00
Statistical Learning Theory00:12
Empirical Risk Minimization (ERM)01:00
Property Testing of Learning01:47
Outline02:24
Lower Bounds02:39
Fast and Optimistic Sample Complexities02:55
Main Result on Sample Complexity03:43
Assumptions04:02
Convex Learnability and The Curse of Stochastic Oracle04:22
Learning without Uniform Convergence04:33
Stochastic Optimization for Risk Minimization05:09
Intuition: The Curse of Stochastic Oracle05:43
SGD with Target Risk - 106:59
Three Pillars07:04
Clipping the Stochastic Gradients07:37
Shrinking the Hypothesis Space H07:59
SGD with Target Risk - 208:07
Convergence Rate09:05
Sample Complexity09:19
Proof Sketch I09:36
Proof Sketch II10:09
Conclusions and Open Problems10:59
Thank you13:05