3 papers
math.ST2026
Haussdorff consistency of MLE in folded normal and Gaussian mixtures
Koustav Mallik
We develop a constant-tracking likelihood theory for two nonregular models: the folded normal and finite Gaussian mixtures. For the folded normal, we prove boundary coercivity for…
math.ST2026
Quotient EM under Misspecification:Tight Local Rates and Finite-Sample Bounds in General Integral Probability Metrics
Koustav Mallik
We study the expectation-maximization (EM) algorithm for general latent-variable models under (i) distributional misspecification and (ii) nonidentifiability induced by a group act…
stat.ME2025
Tensor Algebra Toolkit for Folded Mixture Models: Symmetry-Aware Moments, Orbit-Space Estimation, and Poly-LAN Rates
Koustav Mallik
We develop a symmetry-aware toolkit for finite mixtures whose components are only identifiable up to a finite \emph{folding} group action. The correct estimand is the multiset of p…