Numerical exploitation of equivariance

EL Allgower, K Georg, R Miranda… - ZAMM‐Journal of …, 1998 - Wiley Online Library
… on a symmetric domain often are also equivariant, which means that they … equivariant with
respect to a group of permutations. Methods for exploiting this equivariance in the numerical

Using and abusing equivariance

T Edixhoven, A Lengyel… - Proceedings of the …, 2023 - openaccess.thecvf.com
… that f(T(x)) and T (f(x)) contain completely different numerical values, breaking equivariance.
… achieving better performance or simply exploiting unknown biases in data or in the network. …

Numerical exploitation of symmetry in integral equations

EL Allgower, K Georg - Advances in Computational Mathematics, 1998 - Springer
… problems on symmetric domains often are equivariant, which means that they commute with
… are also equivariant. A method for exploiting this equivariance in the numerical solution of …

[PDF][PDF] Numerical exploitation of symmetric structures in BEM

EL Allgower, K Georg - Boundary Integral Methods–Numerical and …, 1998 - Citeseer
… of symmetry enters if the the linear operator L is equivariant with respect to a nite group ? of
equivariance in detail below. In order to exploit the equivariance property of L for numerical

Practical equivariances via relational conditional neural processes

D Huang, M Haussmann, U Remes… - Advances in …, 2023 - proceedings.neurips.cc
… and other equivariances into the CNP model family. Exploiting equivariances intrinsic to a
… numbers in a computer are represented up to numerical precision, so with R we denote the …

[PDF][PDF] Exploiting Symmetry in Numerical Solving3; 4

EL Allgower, K Georg - 1999 - Citeseer
… In doing so, we simultaneously analyse possibilities for numerically exploiting equivariance
structure. To facilitate the reading, we leave the technical details and proofs to the next …

A general theory of correct, incorrect, and extrinsic equivariance

D Wang, X Zhu, JY Park, M Jia, G Su… - Advances in …, 2024 - proceedings.neurips.cc
equivariant networks in classification or regression settings with partially incorrect symmetry.
We also analyze the potentially harmful effects of extrinsic equivariance. … used for exploiting

[HTML][HTML] Eigenvalues for equivariant matrices

K Åhlander, H Munthe-Kaas - Journal of computational and applied …, 2006 - Elsevier
… The equivariance property may be exploited to devise better numerical algorithms. The key
is to … In [1], we survey the application of the GFT to numerical linear algebra, emphasizing the …

Sequential Best Integer‐Equivariant Estimation for GNSS

A Brack, P Henkel, C Günther - Navigation: Journal of The …, 2014 - Wiley Online Library
… This choice preserves the integer-equivariance property of … in 14, which is possible through
exploiting the fact that urn:x-wiley:… be numerically evaluated in the Section Numerical Results. …

Cola: Exploiting compositional structure for automatic and efficient numerical linear algebra

A Potapczynski, M Finzi, G Pleiss… - Advances in Neural …, 2024 - proceedings.neurips.cc
… (c) For the EMLP experiment we consider solving the equivariance constraints to find the
equivariant linear layers of a graph neural network with 5 nodes. To solve this problem, we …