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Author

Subhransu S. Bhattacharjee

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Preprint Aug 2026

Parameter-Robust Subspace Correction with Multiple Semidefinite Penalties

Independently weighted semidefinite penalties arise in augmented-Lagrangian and constrained formulations. This paper characterizes when an exact additive subspace-correction preconditioner remains uniformly effective over all nonnegative penalty weights on a fixed finite-dimensional space. Robustness holds precisely wh...

Subhransu S. Bhattacharjee · 0 citations
#machine learning Preprint Oct 2026

Rubix: Global Correspondence-Free Point Set Alignment through Assignment Geometry

Procrustes-Wasserstein alignment jointly estimates a matching and rotation without supplied correspondences, but alternating minimization can stop at suboptimal solutions. Rubix solves the equally weighted planar problem globally under squared Euclidean loss. Each matching $\sigma$ of two centered $n$-point sets define...

Subhransu S. Bhattacharjee, Dylan Campbell, Rahul Shome · 0 citations
#machine learning Preprint Sep 2026

The cost of useful natural gradient updates

What information is needed to turn a natural-gradient direction into a useful finite update? Under a population Kullback-Leibler (KL) budget, we call a step useful if it is feasible and loses at most a fraction $\varepsilon$ of the best feasible gain along the direction. We construct a four-state exponential family who...

Subhransu S. Bhattacharjee, Dylan Campbell, Rahul Shome · 0 citations

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