5 papers
Beyond Simulated Benchmarks: Evaluating Motion Representations for Fall Detection Under Real-World Data Scarcity
Timilehin B. Aderinola, Ilaria D'Ascanio, Luca Palmerini +5
Falls are a major health concern for older adults, and wearable sensors have been widely explored for detecting falls and enabling timely intervention. However, real-world falls ar…
All Y-friezes come from -friezes
Ian Short, Andrei Zabolotskii
We resolve a conjecture of de Saint Germain: all Y-friezes arise from -friezes. Additionally, we give a threefold characterisation of those -friezes t…
Classifying integer tilings and hypertilings
Oleg Karpenkov, Ian Short, Matty van Son +1
There are two objectives to this work: to classify all tame integer tilings and to classify all tame integer hypertilings. Motivation for the first objective comes from Conway and…
Frieze patterns and Farey complexes
Ian Short, Matty Van Son, Andrei Zabolotskii
Frieze patterns have attracted significant attention recently, motivated by their relationship with cluster algebras. A longstanding open problem has been to provide a combinatoria…
Enumerating tame friezes over
Sammy Benzaira, Ian Short, Matty van Son +1
We use a class of Farey graphs introduced by the final three authors to enumerate the tame friezes over . Using the same strategy we enumerate the tame regu…