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Basil Saeed

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Open access Oct 2026

Local minima of the empirical risk in high dimension: General theorems and convex examples

We consider a general model for high-dimensional empirical risk minimization whereby the data xi are d-dimensional Gaussian vectors, the model is parametrized by Θ∈Rd×k and the loss depends on the data via the projection ΘTxi. This setting covers as special cases classical statistics methods (e.g., multinomial regressi...

Kiana Asgari, Andrea Montanari, Basil Saeed · 0 citations

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