Author

S. Sra

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Preprint Aug 2026

A Proof of the Matrix Spencer Conjecture

We develop a novel approach to matrix discrepancy based on matrix small-ball estimates. Specifically, we use a determinantal weight (obtained from the log-barrier) to scale the small-ball probability into a partition function of a tilt of the Gaussian measure. We then employ matrix-weighted Poincar\'e inequalities to c...

Emrullah Akbas, Suvrit Sra · 2 citations · ⚡1

#artificial intelligence Preprint Sep 2026

Percolation Dynamics in Optimization: Variance Cascades and Nested Symmetry

We study the dynamics of Stochastic Gradient Descent (SGD), which is known to steer deep neural networks toward invariant sets that correspond to simpler subnetworks. How this steering unfolds over time remains poorly understood. We answer this by modeling the stochastic gradient flow (SGF) as a percolation process, in...

Sai Niranjan Ramachandran, Suvrit Sra · 0 citations