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Noetherian operators and primary decomposition

https://doi.org/10.1016/j.jsc.2021.09.002

Chen, Justin ; Härkönen, Marc ; Krone, Robert ; Leykin, Anton ( May 2022 , Journal of Symbolic Computation)

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Noetherian operators in Macaulay2

https://doi.org/10.2140/jsag.2022.12.33

Chen, Justin ; Cid-Ruiz, Yairon ; Härkönen, Marc ; Krone, Robert ; Leykin, Anton ( January 2022 , Journal of Software for Algebra and Geometry)

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Algebraic optimization degree

https://doi.org/10.1145/3427218.3427222

Härkönen, Marc ; Hollering, Benjamin ; Kashani, Fatemeh Tarashi ; Rodriguez, Jose Israel ( June 2020 , ACM Communications in Computer Algebra)
null (Ed.)
The Macaulay2 [5] package AlgebraicOptimization implements methods for determining the algebraic degree of an optimization problem. We describe the structure of an algebraic optimization problem and explain how the methods in this package may be used to determine the respective degrees. Special features include determining Euclidean distance degrees and maximum likelihood degrees. To our knowledge, this is the first comprehensive software package combining different methods in algebraic optimization. The package is available at https://github.com/Macaulay2/Workshop-2020-Cleveland/tree/ISSAC-AlgOpt/alg-stat/AlgebraicOptimization.
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