A Fast Parallel Sparse Polynomial GCD Algorithm

Proceedings of the ACM on International Symposium on Symbolic and Algebraic Computation - ISSAC '16 ◽

10.1145/2930889.2930903 ◽

2016 ◽

Author(s):

Jiaxiong Hu ◽

Michael Monagan

Keyword(s):

Sparse Polynomial ◽

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A fast parallel sparse polynomial GCD algorithm

Journal of Symbolic Computation ◽

10.1016/j.jsc.2020.06.001 ◽

2020 ◽

Author(s):

Jiaxiong Hu ◽

Michael Monagan

Keyword(s):

Sparse Polynomial ◽

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A Data-Driven Sparse Polynomial Chaos Expansion Method to Assess Probabilistic Total Transfer Capability for Power Systems with Renewables

IEEE Transactions on Power Systems ◽

10.1109/tpwrs.2020.3034520 ◽

2020 ◽

pp. 1-1

Author(s):

Xiaoting Wang ◽

Xiaozhe Wang ◽

Hao Sheng ◽

Xi Lin

Keyword(s):

Power Systems ◽

Polynomial Chaos ◽

Expansion Method ◽

Polynomial Chaos Expansion ◽

Data Driven ◽

Chaos Expansion ◽

Total Transfer Capability ◽

Sparse Polynomial ◽

Transfer Capability ◽

Sparse Polynomial Chaos Expansion

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Adaptive multi-fidelity sparse polynomial chaos-Kriging metamodeling for global approximation of aerodynamic data

Structural and Multidisciplinary Optimization ◽

10.1007/s00158-021-02895-2 ◽

2021 ◽

Author(s):

Huan Zhao ◽

Zhenghong Gao ◽

Fang Xu ◽

Lu Xia

Keyword(s):

Polynomial Chaos ◽

Global Approximation ◽

Sparse Polynomial ◽

Kriging Metamodeling

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Multi-fidelity sparse polynomial chaos expansion based on Gaussian process regression and least angle regression

Journal of Physics Conference Series ◽

10.1088/1742-6596/1730/1/012091 ◽

2021 ◽

Vol 1730 (1) ◽

pp. 012091

Author(s):

Dong Xiao ◽

Michele Ferlauto ◽

Liming Song ◽

Jun Li

Keyword(s):

Gaussian Process ◽

Polynomial Chaos ◽

Gaussian Process Regression ◽

Polynomial Chaos Expansion ◽

Chaos Expansion ◽

Least Angle Regression ◽

Sparse Polynomial ◽

Sparse Polynomial Chaos Expansion

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Probabilistic load flow calculation based on sparse polynomial chaos expansion

IET Generation Transmission & Distribution ◽

10.1049/iet-gtd.2017.0859 ◽

2018 ◽

Vol 12 (11) ◽

pp. 2735-2744 ◽

Author(s):

Xin Sun ◽

Qingrui Tu ◽

Jinfu Chen ◽

Chengwen Zhang ◽

Xianzhong Duan

Keyword(s):

Polynomial Chaos ◽

Polynomial Chaos Expansion ◽

Load Flow ◽

Chaos Expansion ◽

Flow Calculation ◽

Probabilistic Load Flow ◽

Sparse Polynomial ◽

Sparse Polynomial Chaos Expansion ◽

Probabilistic Load ◽

Load Flow Calculation

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Lower bounds for real solutions to sparse polynomial systems

Advances in Mathematics ◽

10.1016/j.aim.2005.05.016 ◽

2006 ◽

Vol 204 (1) ◽

pp. 116-151 ◽

Author(s):

Evgenia Soprunova ◽

Frank Sottile

Keyword(s):

Lower Bounds ◽

Polynomial Systems ◽

Real Solutions ◽

Sparse Polynomial ◽

Sparse Polynomial Systems

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A preconditioning approach for improved estimation of sparse polynomial chaos expansions

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2018.08.005 ◽

2018 ◽

Vol 342 ◽

pp. 474-489 ◽

Author(s):

Negin Alemazkoor ◽

Hadi Meidani

Keyword(s):

Polynomial Chaos ◽

Sparse Polynomial ◽

Polynomial Chaos Expansions

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Parallel sparse polynomial interpolation over finite fields

Proceedings of the 4th International Workshop on Parallel and Symbolic Computation - PASCO '10 ◽

10.1145/1837210.1837233 ◽

2010 ◽

Author(s):

Seyed Mohammad Mahdi Javadi ◽

Michael Monagan

Keyword(s):

Finite Fields ◽

Polynomial Interpolation ◽

Sparse Polynomial

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Complexity of Sparse Polynomial Solving: Homotopy on Toric Varieties and the Condition Metric

Foundations of Computational Mathematics ◽

10.1007/s10208-018-9375-2 ◽

2018 ◽

Vol 19 (1) ◽

pp. 1-53 ◽

Author(s):

Gregorio Malajovich

Keyword(s):

Toric Varieties ◽

Sparse Polynomial ◽

Condition Metric

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Hybrid system identification via sparse polynomial optimization

Proceedings of the 2010 American Control Conference ◽

10.1109/acc.2010.5531243 ◽

2010 ◽

Author(s):

Chao Feng ◽

C M Lagoa ◽

M Sznaier

Keyword(s):

System Identification ◽

Hybrid System ◽

Polynomial Optimization ◽

Sparse Polynomial

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