Basil Saeed

collaborators

3 papers

math.PR2026

Variational Formulas for the Spectrum of Block Wishart Matrices

Andrea Montanari, Basil Saeed

We analyze the asymptotics of a block-Wishart random matrix ensemble of the type ${\boldsymbol W}_k = ({\boldsymbol X}^* \otimes {\boldsymbol I}_k){\boldsymbol T}({\boldsymbol X}\o…

math.ST2026

Topological trivialization in non-convex empirical risk minimization

Andrea Montanari, Basil Saeed

Given data ${(x_{i}, y_{i}) : i \leq n}$ , with $x_{i}$ standard $d$ -dimensional Gaussian feature vectors, and $y_{i} \in R$ response variables, we study t…

stat.ML2026

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

Kiana Asgari, Andrea Montanari, Basil Saeed

We consider a general model for high-dimensional empirical risk minimization whereby the data $x_{i}$ are $d$ -dimensional Gaussian vectors, the model is parametrized by $\ma…