Generative Adversarial Symmetry Discovery
Jianke Yang, Robin Walters, et al.
ICML 2023
We analyze an evolving network model of Krapivsky and Redner in which new nodes arrive sequentially, each connecting to a previously existing node b with probability proportional to the pth power of the in-degree of b. We restrict to the super-linear case p > 1. When (Formula presented), the structure of the final countable tree is determined. There is a finite tree T with distinguished v (which has a limiting distribution) on which is “glued” a specific infinite tree; v has an infinite number of children, an infinite number of which have k − 1 children, and there are only a finite number of nodes (possibly only v) with k or more children. Our basic technique is to embed the discrete process in a continuous time process using exponential random variables, a technique that has previously been employed in the study of balls-in-bins processes with feedback.
Jianke Yang, Robin Walters, et al.
ICML 2023
Michael Ray, Yves C. Martin
Proceedings of SPIE - The International Society for Optical Engineering
Hans Becker, Frank Schmidt, et al.
Photomask and Next-Generation Lithography Mask Technology 2004
Igor Devetak, Andreas Winter
ISIT 2003