text: 113,0,1525124399673884673,1705189098,Ani Eloyan,New paper by now former student Dr. @KUNMENG2 on statistical inference of shapes via the Smooth Euler Characteristic Transform with @lorin_crawford. We provide mathematical foundations for randomness of shapes and present methods for hypothesis testing <LINK> <LINK>,https://arxiv.org/abs/2204.12699,"In this paper, we provide the mathematical foundations for the randomness of shapes and the distributions of smooth Euler characteristic transform. Based on these foundations, we propose an approach for testing hypotheses on random shapes. Simulation studies are provided to support our mathematical derivations and show the performance of our proposed hypothesis testing framework. Our discussions connect the following fields: algebraic and computational topology, probability theory and stochastic processes, Sobolev spaces and functional analysis, statistical inference, and medical imaging. ","Randomness and Statistical Inference of Shapes via the Smooth Euler