CGAPoseNet+ GCAN: A Geometric Clifford Algebra Network for Geometry-aware Camera Pose Regression

A Pepe, J Lasenby, S Buchholz - Proceedings of the IEEE …, 2024 - openaccess.thecvf.com
We introduce CGAPoseNet+ GCAN, which enhances CGAPoseNet, an architecture for
camera pose regression, with a Geometric Clifford Algebra Network (GCAN). With the …

Clifford Group Equivariant Neural Network Layers for Protein Structure Prediction

A Pepe, S Buchholz, J Lasenby - Northern Lights Deep …, 2024 - proceedings.mlr.press
Abstract We employ Clifford Group Equivariant Neural Network (CGENN) layers to predict
protein coordinates in a Protein Structure Prediction (PSP) pipeline. PSP is the estimation of …

UniSG^ GA: A 3D scenegraph powered by Geometric Algebra unifying geometry, behavior and GNNs towards generative AI

M Kamarianakis, A Protopsaltis, D Angelis… - arXiv preprint arXiv …, 2023 - arxiv.org
This work presents the introduction of UniSG^ GA, a novel integrated scenegraph structure,
that to incorporates behavior and geometry data on a 3D scene. It is specifically designed to …

Geometric Algebra Models of Proteins for Three-Dimensional Structure Prediction: A Detailed Analysis

A Pepe, J Lasenby, P Chacon - International Conference on Advanced …, 2022 - Springer
A protein can be regarded as a chain of amino acids with a unique folding in the three-
dimensional (3D) space. Knowing the folding of a protein is highly desirable since the …

Inner Product of Two Oriented Points in Conformal Geometric Algebra in Detail

E Hitzer - … on Advanced Computational Applications of Geometric …, 2022 - Springer
We study in full detail the inner product of oriented points in conformal geometric algebra
and its geometric meaning. The notion of oriented point is introduced and the inner product …