Publications (7)
The Caratheodory-Cartan-Kaup-Wu theorem on an infinite dimensional Hilbert space
Joseph Cima, Ian Graham, Kang-Tae Kim +1
This paper treats a holomorphic self-mapping f: Omega --> Omega of a bounded domain Omega in a separable Hilbert space H with a fixed point p. In case the domain is convex, we prov…
TacticAI: an AI assistant for football tactics
Zhe Wang, Petar VeliÄkoviÄ, Daniel Hennes +20
Identifying key patterns of tactics implemented by rival teams, and developing effective responses, lies at the heart of modern football. However, doing so algorithmically remains…
Time-series Imputation of Temporally-occluded Multiagent Trajectories
Shayegan Omidshafiei, Daniel Hennes, Marta Garnelo +8
In multiagent environments, several decision-making individuals interact while adhering to the dynamics constraints imposed by the environment. These interactions, combined with th…
Flow and aerosol dispersion from wind musical instruments
Quentin Brosseau, Ranjiangshang Ran, Ian Graham +2
In the midst of the COVID-19 pandemic, many live musical activities had to be postponed and even canceled to protect musicians and audience. Orchestral ensembles face a particular…
Game Plan: What AI can do for Football, and What Football can do for AI
Karl Tuyls, Shayegan Omidshafiei, Paul Muller +33
The rapid progress in artificial intelligence (AI) and machine learning has opened unprecedented analytics possibilities in various team and individual sports, including baseball,…
Variation of Loewner chains, extreme and support points in the class in higher dimensions
Filippo Bracci, Ian Graham, Hidetaka Hamada +1
We introduce a family of natural normalized Loewner chains in the unit ball, which we call "geräumig"---spacious---which allow to construct, by means of suitable variations, other…
Loewner PDE in infinite dimensions
Ian Graham, Hidetaka Hamada, Gabriela Kohr +1
In this paper, we prove the existence and uniqueness of the solution of the Loewner PDE with normalization , where is such that $k_+(A)<2m(A)…