no code implementations • 28 Nov 2023 • Danilo P. Mandic, Sayed Pouria Talebi, Clive Cheong Took, Yili Xia, Dongpo Xu, Min Xiang, Pauline Bourigault
From their inception, quaternions and their division algebra have proven to be advantageous in modelling rotation/orientation in three-dimensional spaces and have seen use from the initial formulation of electromagnetic filed theory through to forming the basis of quantum filed theory.
1 code implementation • NeurIPS 2020 • Shengxi Li, Zeyang Yu, Min Xiang, Danilo Mandic
For rigour, we first establish the physical meaning of the phase and amplitude in CF, and show that this provides a feasible way of balancing the accuracy and diversity of generation.
1 code implementation • 9 Jun 2019 • Shengxi Li, Zeyang Yu, Min Xiang, Danilo Mandic
To relieve this issue, we introduce an efficient optimisation method on a statistical manifold defined under an approximate Wasserstein distance, which allows for explicit metrics and computable operations, thus significantly stabilising and improving the EMM estimation.
