Using monodromy to recover symmetries of polynomial systems
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21730%2F23%3A00371980" target="_blank" >RIV/68407700:21730/23:00371980 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1145/3597066.3597106" target="_blank" >https://doi.org/10.1145/3597066.3597106</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1145/3597066.3597106" target="_blank" >10.1145/3597066.3597106</a>
Alternative languages
Result language
angličtina
Original language name
Using monodromy to recover symmetries of polynomial systems
Original language description
Galois/monodromy groups attached to parametric systems of polynomial equations provide a method for detecting the existence of symmetries in solution sets. Beyond the question of existence, one would like to compute formulas for these symmetries, towards the eventual goal of solving the systems more efficiently. We describe and implement one possible approach to this task using numerical homotopy continuation and multivariate rational function interpolation. We illustrate our methods on several examples, including two cases with nonlinear symmetries which appear in applications from computer vision and robotics.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Result continuities
Project
<a href="/en/project/EF15_003%2F0000468" target="_blank" >EF15_003/0000468: Intelligent Machine Perception</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
ISSAC '23: Proceedings of the 2023 International Symposium on Symbolic and Algebraic Computation
ISBN
979-8-4007-0039-2
ISSN
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e-ISSN
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Number of pages
9
Pages from-to
251-259
Publisher name
Association for Computing Machinery
Place of publication
New York
Event location
Tromso
Event date
Jul 24, 2023
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
001041663500005