2 papers
math.ST2026
Statistical Inference for Persistence Diagrams via Landmark Embeddings: Minimax Theory and Finite Approximation
Pramita Bagchi, Sushovan Majhi, Atish Mitra +1
Hilbert-space embeddings enable inference for populations of persistence diagrams, but separation between individual diagrams need not survive population averaging. We develop a fr…
math.MG2024
Geometric embeddings of spaces of persistence diagrams with explicit distortions
Atish Mitra, Ziga Virk
Let be a positive integer. We provide an explicit geometrically motivated -Lipschitz map from the space of persistence diagrams on points (equipped with the Bottleneck d…