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Beyond Euclid: an illustrated guide to modern machine learning with geometric, topological, and algebraic structures. [PDF]

open access: yesMach Learn Sci Technol
Papillon M   +10 more
europepmc   +1 more source

Normal distribution of bad reduction. [PDF]

open access: yesRamanujan J
Lemke Oliver RJ, Loughran D, Shnidman A.
europepmc   +1 more source
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A new system of sylvester-like matrix equations with arbitrary number of equations and unknowns over the quaternion algebra

Linear and Multilinear Algebra
In this paper, we derive some practical necessary and sufficient conditions for the existence of a solution to a new system of coupled two-sided Sylvester-like matrix equations with arbitrary number of equations and unknowns over the quaternion algebra ...
Zhuo-Heng He   +2 more
semanticscholar   +3 more sources

Geometric techniques for robotics and HMI: Interpolation and haptics in conformal geometric algebra and control using quaternion spike neural networks

Robotics and Autonomous Systems, 2018
In this work, by reformulating screw theory (generalization of quaternions) in the conformal geometric algebra framework, we address the interpolation, virtual reality, graphics engineering, haptics.
E. Bayro-Corrochano   +2 more
semanticscholar   +3 more sources

Quaternion Algebra

Quaternions and Rotation Sequences, 2020

semanticscholar   +2 more sources

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