3 papers
math.PR2026
Sub-Poisson distributions: Concentration inequalities, optimal variance proxies, and closure properties
Lasse Leskelä, Ian Välimaa
We introduce a nonasymptotic framework for sub-Poisson distributions with moment generating function dominated by that of a Poisson distribution. At its core is a new notion of opt…
math.ST2025
Consistent spectral clustering in sparse tensor block models
Ian Välimaa, Lasse Leskelä
High-order clustering aims to classify objects in multiway datasets that are prevalent in various fields such as bioinformatics, recommendation systems, and social network analysis…
math.PR2024
Clique and cycle frequencies in a sparse random graph model with overlapping communities
Tommi Gröhn, Joona Karjalainen, Lasse Leskelä
A statistical network model with overlapping communities can be generated as a superposition of mutually independent random graphs of varying size. The model is parameterized by th…