Results 191 to 200 of about 4,148,143 (214)

The evolutionary impact of childhood cancer on the human gene pool. [PDF]

Nat Commun
Stoltze UK, Foss-Skiftesvik J, Hansen TVO, Rasmussen S, Karczewski KJ, Wadt KAW, Schmiegelow K.   +6 more
europepmc   +1 more source

Learning Fast Monomial Orders for Gröbner Basis Computations [PDF]

R. Caleb Bunch, Alperen A. Ergür, Melika Golestani, Jessie Tong, Malia Walewski, Yunus E. Zeytuncu   +5 more
openalex  

Motion planning of open-pit mine autonomous vehicle based on integral chain dynamics and Gröbner basis

Desheng ZHU, Yunchao CHEN, Zhipeng HUANG, Jianjian YANG, Kehu YANG, Shirong GE   +5 more
openalex   +2 more sources

Comparison of XL and Gröbner basis algorithms over Finite Fields

, 2004
Jean‐Charles Faugère, Gwénolé Ars
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Conditional GrÖbner Basis: GrÖbner Basis Detection with Parameters

ACM Communications in Computer Algebra, 2023
For a given finite polynomial set, finding a monomial order such that the given set is already a GrÖbner basis for the ideal generated by the given set with respect to the found monomial order is called GrÖbner basis detection (GBD) problem and there is ...
Kosaku Nagasaka, Ryo Oshimatani
semanticscholar   +1 more source

Algebraic Chase Decoding of Elliptic Codes Through Computing the Gröbner Basis

International Symposium on Information Theory, 2022
This paper proposes two interpolation-based algebraic Chase decoding for elliptic codes. It is introduced from the perspective of computing the Gröbner basis of the interpolation module, for which two Chase interpolation approaches are utilized. They are
Yunqi Wan, Li Chen, Fangguo Zhang
semanticscholar   +1 more source

Partition Identities and Application to Infinite-Dimensional Gröbner Basis and Vice Versa

Arc Schemes and Singularities, 2020
In the first part of this article, we consider a Groebner basis of the differential ideal {x_1^2} with respect to "the" weighted lexicographical monomial order and show that its computation is related with an identity involving the partitions that appear
Pooneh Afsharijoo, H. Mourtada
semanticscholar   +1 more source

Parallel Gröbner Basis Rewriting and Memory Optimization for Efficient Multiplier Verification

Design, Automation and Test in Europe
Formal verification of integer multipliers is a significant but time-consuming problem. This paper introduces a novel approach that emphasizes the acceleration of symbolic computer algebra (SCA)-based verification systems from the perspective of ...
Hongduo Liu, Peiyu Liao, Junhua Huang, Hui-Ling Zhen, Mingxuan Yuan, Tsung-Yi Ho, Bei Yu   +6 more
semanticscholar   +1 more source

Online Stability Improvement of Gröbner Basis Solvers using Deep Learning

International Conference on 3D Vision, 2019
Over the past decade, the Gröbner basis theory and automatic solver generation have lead to a large number of solutions to geometric vision problems.
Wanting Xu, Lan Hu, M. Tsakiris, L. Kneip   +3 more
semanticscholar   +1 more source

Gröbner Basis Approach for Solving Fuzzy Complex System of Linear Equations

New Mathematics and Natural Computation, 2023
Maryam Farahmand Nejad, Hamed Farahani, R. Nuraei, Alireza Gilani   +3 more
semanticscholar   +1 more source