منابع مشابه
Mixed Volume Computation, A Revisit
The superiority of the dynamic enumeration of all mixed cells suggested by T. Mizutani et al. for the mixed volume computation over the existing methods was reported in [15]. In this article, we embed the idea of dynamic enumeration into our original algorithm for the mixed volume computation presented in [7], and a new algorithm is developed by employing both primal and dual simplex algorithms...
متن کاملMixed Volume Computation in Parallel
Efficient algorithms for computing mixed volumes, via the computation of mixed cells, have been implemented in DEMiCs [18] and MixedVol-2.0 [13]. While the approaches in those two packages are somewhat different, they follow the same theme and are both highly serial. To fit the need for the parallel computing, a reformulation of the algorithms is inevitable. This article proposes a reformulatio...
متن کاملAn Implementation of Exact Mixed Volume Computation
Mixed volumes of lattice polytopes play a central role in numerical and tropical algebraic geometry. We present an implementation of a new algorithm for their computation based on tropical homotopy continuation, which is a combinatorial procedure using ideas from numerical algebraic geometry. While the mathematical aspects of the algorithm are presented elsewhere, here we mainly address technic...
متن کاملSome new Techniques for Explicit Mixed Volume Computation
We give some new technical tools which simplify mixed volume computation for larger polynomial systems and allow the computation of mixed volume bounds for polynomial systems of arbitrary dimension arising in various applications as seen in [14].
متن کاملThe Study on Linear Mixed Parcel Unmixing for Classification
: Aiming at the disadvantage of hard per-parcel classification which can't solve the difficulty of mixed parcel resulting in the low accuracy, a new method of soft per-parcel classification is presented, that is linear mixed parcel unmixing. Based on the linear spectral theory for the parcel unmixing, the predicted fraction value is assigned to a parcel. The RMSE results show that the accuracy ...
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ژورنال
عنوان ژورنال: Discrete & Computational Geometry
سال: 2019
ISSN: 0179-5376,1432-0444
DOI: 10.1007/s00454-019-00078-x