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Sasha Rakhlin

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Generalization IDeep Learning Boot Camp 20192019-05-28
Proves a concrete generalization claim: the perceptron update makes at most 1/γ^2 mistake bound on any sequence with margin γ, and a one‑pass run yields…
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Generalization IIDeep Learning Boot Camp 20192019-05-28
Shows that uniform deviation between population and empirical losses is essentially captured by Rademacher averages using symmetrization with a ghost sample…
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Generalization IIIDeep Learning Boot Camp 20192019-05-28
Uses Rademacher symmetrization to reduce uniform deviations to analyzable averages and gives classification bounds like sup deviation = O(sqrt(d log n / n))…
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Generalization IVDeep Learning Boot Camp 20192019-05-28
Compares K‑nearest neighbors and kernel smoothing with explicit bias–variance decompositions, deriving the minimax rate N^{-2/(2+d)} under Lipschitz…
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A Few Connections Between Optimization and ProbabilityOptimization, Statistics and Uncertainty2017-11-28
Claims an iff equivalence: a martingale inequality holds for all martingale difference sequences exactly when there exists a function U satisfying domination…
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Robustness, Stochastics, Uncertainty 1Bridging Continuous and Discrete Optimization Boot Camp 20172017-08-21
Shows that finite-sample learning guarantees come from concrete optimization tools: Blackwell approachability gives a randomized strategy that matches the…
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Robustness, Stochastics, Uncertainty 2Bridging Continuous and Discrete Optimization Boot Camp 20172017-08-21
Shows that projected SGD and online linear optimization give a deterministic 1/√N regret for bounded gradients and that an adaptive stepsize (Adagrad-style)…
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Robustness, Stochastics, Uncertainty 3Bridging Continuous and Discrete Optimization Boot Camp 20172017-08-21
Gives a practical tour: shows that tiny implementation noise (example cited: 0.001% error breaks feasibility) ruins some linear-program designs, converts…
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How to Predict When Estimation is Hard: Algorithms for Learning on GraphsOptimization and Decision-Making Under Uncertainty (Simons Institute, September 2016)2016-09-19
Claim: sequential predictors achieve the same error as the NP‑hard best graph labeling while avoiding model estimation by using improper prediction and…
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