28 citations · 209 across the 21 of their papers we have counts for
21 papers
Machine Learning Clifford invariants of ADE Coxeter elements
Siqi Chen, Pierre-Philippe Dechant, Yang-Hui He +3
There has been recent interest in novel Clifford geometric invariants of linear transformations. This motivates the investigation of such invariants for a certain type of geometric…
Clustering Cluster Algebras with Clusters
Man-Wai Cheung, Pierre-Philippe Dechant, Yang-Hui He +3
Classification of cluster variables in cluster algebras (in particular, Grassmannian cluster algebras) is an important problem, which has direct application to computations of scat…
Root systems & Clifford algebras: from symmetries of viruses to & ADE correspondences
Pierre-Philippe Dechant
In this paper we discuss reflection groups and root systems, in particular non-crystallographic ones, and a Clifford algebra framework for both these concepts. A review of historic…
Cluster Algebras: Network Science and Machine Learning
Pierre-Philippe Dechant, Yang-Hui He, Elli Heyes +1
Cluster algebras have recently become an important player in mathematics and physics. In this work, we investigate them through the lens of modern data science, specifically with t…
Therapeutic Interfering Particles Exploiting Viral Replication and Assembly Mechanisms Show Promising Performance: A Modelling Study
Farzad Fatehi, Richard J. Bingham, Pierre-Philippe Dechant +2
Defective interfering particles arise spontaneously during a viral infection as mutants lacking essential parts of the viral genome. Their ability to replicate in the presence of t…
Clifford spinors and root system induction: and the Grand Antiprism
Pierre-Philippe Dechant
Recent work has shown that every 3D root system allows the construction of a correponding 4D root system via an `induction theorem'. In this paper, we look at the icosahedral case…