5 papers
A Semi-definite Optimization Method for Maximizing the Shared Band Gap of Topological Photonic Crystals
Chiu-Yen Kao, Junshan Lin, Braxton Osting
Topological photonic crystals (PCs) can support robust edge modes to transport electromagnetic energy in an efficient manner. Such edge modes are the eigenmodes of the PDE operator…
Partial Identification of the Average Treatment Effect with Stochastic Counterfactuals and Discordant Twins
Brian Knaeble, Braxton Osting, Placede Tshiaba
We develop a novel approach to partially identify causal estimands, such as the average treatment effect (ATE), from observational data. To better satisfy the stable unit treatment…
Targeting influence in a harmonic opinion model
Zachary M. Boyd, Nicolas Fraiman, Jeremy L. Marzuola +2
Influence propagation in social networks is a central problem in modern social network analysis, with important societal applications in politics and advertising. A large body of w…
Harmonic functions on finitely-connected tori
Chiu-Yen Kao, Braxton Osting, Édouard Oudet
In this paper, we prove a Logarithmic Conjugation Theorem on finitely-connected tori. The theorem states that a harmonic function can be written as the real part of a function whos…
Observational Causality Testing
Brian Knaeble, Braxton Osting, Placede Tshiaba
In prior work we have introduced an asymptotic threshold of sufficient randomness for causal inference from observational data. In this paper we extend that prior work in three mai…