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Frederic Koehler

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Unexpected Test Losses from Generalization Theory?Emerging Generalization Settings 20242024-09-09
Shows that overfitting can change the effective test loss: empirical L1 training behaves like a Huber and then a squared loss as capacity grows, and a ReLU…
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Preconditioning In Sparse Linear Regression Using Graphical StructureAlgorithmic Aspects of Causal Inference 20222022-03-18
Shows a concrete claim: when covariates form a low treewidth Gaussian graphical model there is an explicit change-of-basis (a preconditioner) that preserves…
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Uniform Convergence of Interpolators: Gaussian Width, Norm Bounds, and Benign OverfittingDeep Learning Theory Symposium 20212021-12-03
Proves a uniform‑convergence bound for interpolators in Gaussian linear regression: test loss ≤ (Gaussian‑width(K))^2 / n up to small additive/multiplicative…
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On the Power of Preconditioning in Sparse Linear RegressionMeet the Fellows Welcome Event2021-09-08
Proves that using the precision-matrix graph and a nested dissection preconditioner lets Lasso attain the information-theoretic Mahalanobis error rate when the…
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