3 papers
stat.ML2025
Kernel Embeddings and the Separation of Measure Phenomenon
Leonardo V. Santoro, Kartik G. Waghmare, Victor M. Panaretos
We prove that kernel covariance embeddings lead to information-theoretically perfect separation of distinct continuous probability distributions. In statistical terms, we establish…
math.ST2025
Proper scoring rules for estimation and forecast evaluation
Kartik Waghmare, Johanna Ziegel
Proper scoring rules have been a subject of growing interest in recent years, not only as tools for evaluation of probabilistic forecasts but also as methods for estimating probabi…
math.OC2024
Extreme Points of Spectrahedra
Kartik G. Waghmare, Victor M. Panaretos
We consider the problem of characterizing extreme points of the convex set of positive linear operators on a possibly infinite-dimensional Hilbert space under linear constraints. W…