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@inproceedings{DBLP:conf/aaai/RanasingheSSPH24,
author = {Nisal Ranasinghe and
Damith A. Senanayake and
Sachith Seneviratne and
Malin Premaratne and
Saman K. Halgamuge},
editor = {Michael J. Wooldridge and
Jennifer G. Dy and
Sriraam Natarajan},
title = {{GINN-LP:} {A} Growing Interpretable Neural Network for Discovering
Multivariate Laurent Polynomial Equations},
booktitle = {Thirty-Eighth {AAAI} Conference on Artificial Intelligence, {AAAI}
2024, Thirty-Sixth Conference on Innovative Applications of Artificial
Intelligence, {IAAI} 2024, Fourteenth Symposium on Educational Advances
in Artificial Intelligence, {EAAI} 2014, February 20-27, 2024, Vancouver,
Canada},
pages = {14776--14784},
publisher = {{AAAI} Press},
year = {2024},
url = {https://doi.org/10.1609/aaai.v38i13.29396},
doi = {10.1609/AAAI.V38I13.29396},
timestamp = {Tue, 02 Apr 2024 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/aaai/RanasingheSSPH24.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2402-16913,
author = {Shiyi Qi and
Zenglin Xu and
Yiduo Li and
Liangjian Wen and
Qingsong Wen and
Qifan Wang and
Yuan Qi},
title = {PDETime: Rethinking Long-Term Multivariate Time Series Forecasting
from the perspective of partial differential equations},
journal = {CoRR},
volume = {abs/2402.16913},
year = {2024},
url = {https://doi.org/10.48550/arXiv.2402.16913},
doi = {10.48550/ARXIV.2402.16913},
eprinttype = {arXiv},
eprint = {2402.16913},
timestamp = {Mon, 25 Mar 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2402-16913.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/access/SemenovAKP23,
author = {Alexander A. Semenov and
Kirill Antonov and
Stepan Kochemazov and
Artem Pavlenko},
title = {Using Linearizing Sets to Solve Multivariate Quadratic Equations in
Algebraic Cryptanalysis},
journal = {{IEEE} Access},
volume = {11},
pages = {120319--120333},
year = {2023},
url = {https://doi.org/10.1109/ACCESS.2023.3328215},
doi = {10.1109/ACCESS.2023.3328215},
timestamp = {Tue, 28 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/access/SemenovAKP23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/axioms/KrikstolaitisMPR23,
author = {Ricardas Krikstolaitis and
Gintautas Mozgeris and
Edmundas Petrauskas and
Petras Rupsys},
title = {A Statistical Dependence Framework Based on a Multivariate Normal
Copula Function and Stochastic Differential Equations for Multivariate
Data in Forestry},
journal = {Axioms},
volume = {12},
number = {5},
pages = {457},
year = {2023},
url = {https://doi.org/10.3390/axioms12050457},
doi = {10.3390/AXIOMS12050457},
timestamp = {Thu, 13 Jul 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/axioms/KrikstolaitisMPR23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jsiaml/Hashimoto23,
author = {Yasufumi Hashimoto},
title = {An improvement of algorithms to solve under-defined systems of multivariate
quadratic equations},
journal = {{JSIAM} Lett.},
volume = {15},
pages = {53--56},
year = {2023},
url = {https://doi.org/10.14495/jsiaml.15.53},
doi = {10.14495/JSIAML.15.53},
timestamp = {Tue, 02 Jan 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jsiaml/Hashimoto23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/icstcc/SbirnaS23,
author = {Sebastian Sb{\^{\i}}rna and
Liana{-}Simona Sb{\^{\i}}rna},
editor = {Radu{-}Emil Precup},
title = {Implementation and performance analysis of sequential versus parallelized
algorithms for solving multivariate equations of {CFD} Poisson processes},
booktitle = {27th International Conference on System Theory, Control and Computing,
{ICSTCC} 2023, Timisoara, Romania, October 11-13, 2023},
pages = {94--99},
publisher = {{IEEE}},
year = {2023},
url = {https://doi.org/10.1109/ICSTCC59206.2023.10308461},
doi = {10.1109/ICSTCC59206.2023.10308461},
timestamp = {Fri, 24 Nov 2023 20:33:23 +0100},
biburl = {https://dblp.org/rec/conf/icstcc/SbirnaS23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2306-10189,
author = {Victor Rielly and
Kamel Lahouel and
Ethan Lew and
Michael Wells and
Vicky Haney and
Bruno Jedynak},
title = {Learning High-Dimensional Nonparametric Differential Equations via
Multivariate Occupation Kernel Functions},
journal = {CoRR},
volume = {abs/2306.10189},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2306.10189},
doi = {10.48550/ARXIV.2306.10189},
eprinttype = {arXiv},
eprint = {2306.10189},
timestamp = {Fri, 23 Jun 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2306-10189.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2312-10913,
author = {Nisal Ranasinghe and
Damith A. Senanayake and
Sachith Seneviratne and
Malin Premaratne and
Saman K. Halgamuge},
title = {{GINN-LP:} {A} Growing Interpretable Neural Network for Discovering
Multivariate Laurent Polynomial Equations},
journal = {CoRR},
volume = {abs/2312.10913},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2312.10913},
doi = {10.48550/ARXIV.2312.10913},
eprinttype = {arXiv},
eprint = {2312.10913},
timestamp = {Tue, 16 Jan 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2312-10913.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cssc/Dogan22,
author = {Ilkay Dogan},
title = {A simulation study comparing model fit measures of structural equation
modeling with multivariate contaminated normal distribution},
journal = {Commun. Stat. Simul. Comput.},
volume = {51},
number = {5},
pages = {2526--2536},
year = {2022},
url = {https://doi.org/10.1080/03610918.2019.1698745},
doi = {10.1080/03610918.2019.1698745},
timestamp = {Sat, 10 Sep 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/cssc/Dogan22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jossac/XiaoLW22,
author = {Fanghui Xiao and
Dong Lu and
Dingkang Wang},
title = {Solving Multivariate Polynomial Matrix Diophantine Equations with
Gr{\"{o}}bner Basis Method},
journal = {J. Syst. Sci. Complex.},
volume = {35},
number = {1},
pages = {413--426},
year = {2022},
url = {https://doi.org/10.1007/s11424-021-0072-x},
doi = {10.1007/S11424-021-0072-X},
timestamp = {Fri, 18 Feb 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jossac/XiaoLW22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/LaiL22,
author = {Ming{-}Jun Lai and
Jinsil Lee},
title = {A Multivariate Spline Based Collocation Method for Numerical Solution
of Partial Differential Equations},
journal = {{SIAM} J. Numer. Anal.},
volume = {60},
number = {5},
pages = {2405--2434},
year = {2022},
url = {https://doi.org/10.1137/22m1469602},
doi = {10.1137/22M1469602},
timestamp = {Mon, 28 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamnum/LaiL22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/soco/Abo-BakrMM22,
author = {Rasha M. Abo{-}Bakr and
N. A. Mohamed and
S. A. Mohamed},
title = {Meta-heuristic algorithms for solving nonlinear differential equations
based on multivariate Bernstein polynomials},
journal = {Soft Comput.},
volume = {26},
number = {2},
pages = {605--619},
year = {2022},
url = {https://doi.org/10.1007/s00500-021-06535-1},
doi = {10.1007/S00500-021-06535-1},
timestamp = {Mon, 28 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/soco/Abo-BakrMM22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/cogsci/CollinsSKJ22,
author = {Michael G. Collins and
Florian Sense and
Michael Krusmark and
Tiffany S. Jastrzembski},
editor = {Jennifer Culbertson and
Hugh Rabagliati and
Ver{\'{o}}nica C. Ramenzoni and
Andrew Perfors},
title = {Extending the Predictive Performance Equation to Account for Multivariate
Performance},
booktitle = {Proceedings of the 44th Annual Meeting of the Cognitive Science Society,
CogSci 2022, Toronto, ON, Canada, July 27-30, 2022},
publisher = {cognitivesciencesociety.org},
year = {2022},
url = {https://escholarship.org/uc/item/93z8b61d},
timestamp = {Tue, 30 Apr 2024 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/cogsci/CollinsSKJ22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/iccS/KhrulkovMM22,
author = {Alexander A. Khrulkov and
Margarita E. Mishina and
Sergey A. Mityagin},
editor = {Derek Groen and
Cl{\'{e}}lia de Mulatier and
Maciej Paszynski and
Valeria V. Krzhizhanovskaya and
Jack J. Dongarra and
Peter M. A. Sloot},
title = {Approach to Imputation Multivariate Missing Data of Urban Buildings
by Chained Equations Based on Geospatial Information},
booktitle = {Computational Science - {ICCS} 2022 - 22nd International Conference,
London, UK, June 21-23, 2022, Proceedings, Part {III}},
series = {Lecture Notes in Computer Science},
volume = {13352},
pages = {234--247},
publisher = {Springer},
year = {2022},
url = {https://doi.org/10.1007/978-3-031-08757-8\_21},
doi = {10.1007/978-3-031-08757-8\_21},
timestamp = {Mon, 27 Jun 2022 17:21:55 +0200},
biburl = {https://dblp.org/rec/conf/iccS/KhrulkovMM22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2201-02943,
author = {Hassan Mohammad},
title = {A multivariate spectral hybridization of {HS} and {PRP} method for
nonlinear systems of equations},
journal = {CoRR},
volume = {abs/2201.02943},
year = {2022},
url = {https://arxiv.org/abs/2201.02943},
eprinttype = {arXiv},
eprint = {2201.02943},
timestamp = {Thu, 20 Jan 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2201-02943.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/appml/YuLY21,
author = {Zhensheng Yu and
Lin Li and
Yue Yuan},
title = {A modified multivariate spectral gradient algorithm for solving absolute
value equations},
journal = {Appl. Math. Lett.},
volume = {121},
pages = {107461},
year = {2021},
url = {https://doi.org/10.1016/j.aml.2021.107461},
doi = {10.1016/J.AML.2021.107461},
timestamp = {Thu, 05 Jan 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/appml/YuLY21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cssc/FuYZLZ21,
author = {Liya Fu and
Zhuoran Yang and
Jun Zhang and
Anle Long and
Yan Zhou},
title = {Generalized estimating equations for analyzing multivariate survival
data},
journal = {Commun. Stat. Simul. Comput.},
volume = {50},
number = {10},
pages = {3060--3068},
year = {2021},
url = {https://doi.org/10.1080/03610918.2019.1619763},
doi = {10.1080/03610918.2019.1619763},
timestamp = {Tue, 02 Nov 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/cssc/FuYZLZ21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/dsp/HakimdavoodiAA21,
author = {Hamidreza Hakimdavoodi and
Maryam Amirmazlaghani and
Hamidreza Amindavar},
title = {A new multivariate equation-error autoregressive moving average system
with conditional heteroscedastic noise: Maximum likelihood identification},
journal = {Digit. Signal Process.},
volume = {118},
pages = {103213},
year = {2021},
url = {https://doi.org/10.1016/j.dsp.2021.103213},
doi = {10.1016/J.DSP.2021.103213},
timestamp = {Tue, 02 Nov 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/dsp/HakimdavoodiAA21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/quantum/Garcia-Ripoll21,
author = {Juan Jos{\'{e}} Garc{\'{\i}}a{-}Ripoll},
title = {Quantum-inspired algorithms for multivariate analysis: from interpolation
to partial differential equations},
journal = {Quantum},
volume = {5},
pages = {431},
year = {2021},
url = {https://doi.org/10.22331/q-2021-04-15-431},
doi = {10.22331/Q-2021-04-15-431},
timestamp = {Mon, 28 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/quantum/Garcia-Ripoll21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/eurocrypt/Dinur21,
author = {Itai Dinur},
editor = {Anne Canteaut and
Fran{\c{c}}ois{-}Xavier Standaert},
title = {Cryptanalytic Applications of the Polynomial Method for Solving Multivariate
Equation Systems over {GF(2)}},
booktitle = {Advances in Cryptology - {EUROCRYPT} 2021 - 40th Annual International
Conference on the Theory and Applications of Cryptographic Techniques,
Zagreb, Croatia, October 17-21, 2021, Proceedings, Part {I}},
series = {Lecture Notes in Computer Science},
volume = {12696},
pages = {374--403},
publisher = {Springer},
year = {2021},
url = {https://doi.org/10.1007/978-3-030-77870-5\_14},
doi = {10.1007/978-3-030-77870-5\_14},
timestamp = {Wed, 16 Jun 2021 11:49:32 +0200},
biburl = {https://dblp.org/rec/conf/eurocrypt/Dinur21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2109-09698,
author = {Ming{-}Jun Lai and
Jinsil Lee},
title = {A Multivariate Spline based Collocation Method for Numerical Solution
of Partial Differential Equations},
journal = {CoRR},
volume = {abs/2109.09698},
year = {2021},
url = {https://arxiv.org/abs/2109.09698},
eprinttype = {arXiv},
eprint = {2109.09698},
timestamp = {Mon, 27 Sep 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2109-09698.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/iacr/Dinur21,
author = {Itai Dinur},
title = {Cryptanalytic Applications of the Polynomial Method for Solving Multivariate
Equation Systems over {GF(2)}},
journal = {{IACR} Cryptol. ePrint Arch.},
pages = {578},
year = {2021},
url = {https://eprint.iacr.org/2021/578},
timestamp = {Mon, 07 Jun 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/iacr/Dinur21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/iacr/Hashimoto21b,
author = {Yasufumi Hashimoto},
title = {Minor improvements of algorithm to solve under-defined systems of
multivariate quadratic equations},
journal = {{IACR} Cryptol. ePrint Arch.},
pages = {1045},
year = {2021},
url = {https://eprint.iacr.org/2021/1045},
timestamp = {Mon, 06 Sep 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/iacr/Hashimoto21b.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jfi/LiuLDAH20,
author = {Lijuan Liu and
Haibo Liu and
Feng Ding and
Ahmed Alsaedi and
Tasawar Hayat},
title = {Data filtering based maximum likelihood gradient estimation algorithms
for a multivariate equation-error system with {ARMA} noise},
journal = {J. Frankl. Inst.},
volume = {357},
number = {9},
pages = {5640--5662},
year = {2020},
url = {https://doi.org/10.1016/j.jfranklin.2020.03.047},
doi = {10.1016/J.JFRANKLIN.2020.03.047},
timestamp = {Wed, 15 Jul 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jfi/LiuLDAH20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/pqcrypto/YasudaWT20,
author = {Takanori Yasuda and
Yacheng Wang and
Tsuyoshi Takagi},
editor = {Jintai Ding and
Jean{-}Pierre Tillich},
title = {Multivariate Encryption Schemes Based on Polynomial Equations over
Real Numbers},
booktitle = {Post-Quantum Cryptography - 11th International Conference, PQCrypto
2020, Paris, France, April 15-17, 2020, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {12100},
pages = {402--421},
publisher = {Springer},
year = {2020},
url = {https://doi.org/10.1007/978-3-030-44223-1\_22},
doi = {10.1007/978-3-030-44223-1\_22},
timestamp = {Wed, 15 Apr 2020 17:34:50 +0200},
biburl = {https://dblp.org/rec/conf/pqcrypto/YasudaWT20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/softcomp/LasherasRNGV20,
author = {Fernando S{\'{a}}nchez Lasheras and
Javier Gracia Rodr{\'{\i}}guez and
Paulino Jos{\'{e}} Garc{\'{\i}}a Nieto and
Esperanza Garc{\'{\i}}a Gonzalo and
Gregorio Fidalgo Valverde},
editor = {{\'{A}}lvaro Herrero and
Carlos Cambra and
Daniel Urda and
Javier Sedano and
H{\'{e}}ctor Quinti{\'{a}}n and
Emilio Corchado},
title = {A Multivariate Approach to Time Series Forecasting of Copper Prices
with the Help of Multiple Imputation by Chained Equations and Multivariate
Adaptive Regression Splines},
booktitle = {15th International Conference on Soft Computing Models in Industrial
and Environmental Applications, {SOCO} 2020, Burgos, Spain, 16-18
September 2020},
series = {Advances in Intelligent Systems and Computing},
volume = {1268},
pages = {691--701},
publisher = {Springer},
year = {2020},
url = {https://doi.org/10.1007/978-3-030-57802-2\_66},
doi = {10.1007/978-3-030-57802-2\_66},
timestamp = {Mon, 13 Feb 2023 21:54:28 +0100},
biburl = {https://dblp.org/rec/conf/softcomp/LasherasRNGV20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2007-04170,
author = {Carl Leake and
Hunter Johnston and
Daniele Mortari},
title = {The Multivariate Theory of Functional Connections: Theory, Proofs,
and Application in Partial Differential Equations},
journal = {CoRR},
volume = {abs/2007.04170},
year = {2020},
url = {https://arxiv.org/abs/2007.04170},
eprinttype = {arXiv},
eprint = {2007.04170},
timestamp = {Mon, 20 Jul 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2007-04170.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2011-04468,
author = {Nikos Tsilivis and
Anastasios Tsiamis and
Petros Maragos},
title = {Sparse Approximate Solutions to Max-Plus Equations with Application
to Multivariate Convex Regression},
journal = {CoRR},
volume = {abs/2011.04468},
year = {2020},
url = {https://arxiv.org/abs/2011.04468},
eprinttype = {arXiv},
eprint = {2011.04468},
timestamp = {Tue, 06 Sep 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2011-04468.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/access/LiuDXPAH19,
author = {Lijuan Liu and
Feng Ding and
Ling Xu and
Jian Pan and
Ahmed Alsaedi and
Tasawar Hayat},
title = {Maximum Likelihood Recursive Identification for the Multivariate Equation-Error
Autoregressive Moving Average Systems Using the Data Filtering},
journal = {{IEEE} Access},
volume = {7},
pages = {41154--41163},
year = {2019},
url = {https://doi.org/10.1109/ACCESS.2019.2905576},
doi = {10.1109/ACCESS.2019.2905576},
timestamp = {Fri, 31 May 2019 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/access/LiuDXPAH19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/Wu19,
author = {Cheng{-}Hsun Wu},
title = {Perturbation solutions for bond-pricing equations under a multivariate
{CIR} model with weak dependences},
journal = {J. Comput. Appl. Math.},
volume = {361},
pages = {207--226},
year = {2019},
url = {https://doi.org/10.1016/j.cam.2019.04.016},
doi = {10.1016/J.CAM.2019.04.016},
timestamp = {Thu, 20 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcam/Wu19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jfi/Ge0XAH19,
author = {Zhengwei Ge and
Feng Ding and
Ling Xu and
Ahmed Alsaedi and
Tasawar Hayat},
title = {Gradient-based iterative identification method for multivariate equation-error
autoregressive moving average systems using the decomposition technique},
journal = {J. Frankl. Inst.},
volume = {356},
number = {3},
pages = {1658--1676},
year = {2019},
url = {https://doi.org/10.1016/j.jfranklin.2018.12.002},
doi = {10.1016/J.JFRANKLIN.2018.12.002},
timestamp = {Mon, 24 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jfi/Ge0XAH19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/acns/Ding19,
author = {Jintai Ding},
editor = {Jianying Zhou and
Robert H. Deng and
Zhou Li and
Suryadipta Majumdar and
Weizhi Meng and
Lingyu Wang and
Kehuan Zhang},
title = {A New Proof of Work for Blockchain Based on Random Multivariate Quadratic
Equations},
booktitle = {Applied Cryptography and Network Security Workshops - {ACNS} 2019
Satellite Workshops, SiMLA, Cloud S{\&}P, AIBlock, and AIoTS,
Bogota, Colombia, June 5-7, 2019, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {11605},
pages = {97--107},
publisher = {Springer},
year = {2019},
url = {https://doi.org/10.1007/978-3-030-29729-9\_5},
doi = {10.1007/978-3-030-29729-9\_5},
timestamp = {Sun, 25 Jul 2021 11:48:41 +0200},
biburl = {https://dblp.org/rec/conf/acns/Ding19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/iacr/AriffinNPA19,
title = {Key Encapsulation Mechanism From Modular Multivariate Linear Equations},
journal = {{IACR} Cryptol. ePrint Arch.},
pages = {93},
year = {2019},
note = {Withdrawn.},
url = {https://eprint.iacr.org/2019/093},
timestamp = {Fri, 31 Mar 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/iacr/AriffinNPA19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cssp/MaDAH18,
author = {Ping Ma and
Feng Ding and
Ahmed Alsaedi and
Tasawar Hayat},
title = {Decomposition-Based Gradient Estimation Algorithms for Multivariate
Equation-Error Autoregressive Systems Using the Multi-innovation Theory},
journal = {Circuits Syst. Signal Process.},
volume = {37},
number = {5},
pages = {1846--1862},
year = {2018},
url = {https://doi.org/10.1007/s00034-017-0644-0},
doi = {10.1007/S00034-017-0644-0},
timestamp = {Sun, 21 Jun 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/cssp/MaDAH18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ijsinnov/ZhouMYL18,
author = {Xiaoyi Zhou and
Jixin Ma and
Xiaoming Yao and
Honglei Li},
title = {A Novel {RFID} Anti-Counterfeiting Based on Bisectional Multivariate
Quadratic Equations},
journal = {Int. J. Softw. Innov.},
volume = {6},
number = {2},
pages = {1--9},
year = {2018},
url = {https://doi.org/10.4018/IJSI.2018040101},
doi = {10.4018/IJSI.2018040101},
timestamp = {Mon, 12 Oct 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ijsinnov/ZhouMYL18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ijsysc/LiuDZ18,
author = {Lijuan Liu and
Feng Ding and
Quanmin Zhu},
title = {Recursive identification for multivariate autoregressive equation-error
systems with autoregressive noise},
journal = {Int. J. Syst. Sci.},
volume = {49},
number = {13},
pages = {2763--2775},
year = {2018},
url = {https://doi.org/10.1080/00207721.2018.1511873},
doi = {10.1080/00207721.2018.1511873},
timestamp = {Wed, 22 Jul 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ijsysc/LiuDZ18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/AhrensB18,
author = {Robin Ahrens and
Sabine Le Borne},
title = {FFT-based evaluation of multivariate aggregation integrals in population
balance equations on uniform tensor grids},
journal = {J. Comput. Appl. Math.},
volume = {338},
pages = {280--297},
year = {2018},
url = {https://doi.org/10.1016/j.cam.2018.02.013},
doi = {10.1016/J.CAM.2018.02.013},
timestamp = {Thu, 20 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcam/AhrensB18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jfi/LiuWWDH18,
author = {Lijuan Liu and
Yan Wang and
Cheng Wang and
Feng Ding and
Tasawar Hayat},
title = {Maximum likelihood recursive least squares estimation for multivariate
equation-error {ARMA} systems},
journal = {J. Frankl. Inst.},
volume = {355},
number = {15},
pages = {7609--7625},
year = {2018},
url = {https://doi.org/10.1016/j.jfranklin.2018.07.041},
doi = {10.1016/J.JFRANKLIN.2018.07.041},
timestamp = {Mon, 24 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jfi/LiuWWDH18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tches/ParkSKH18,
author = {Aesun Park and
Kyung{-}Ah Shim and
Namhun Koo and
Dong{-}Guk Han},
title = {Side-Channel Attacks on Post-Quantum Signature Schemes based on Multivariate
Quadratic Equations - Rainbow and {UOV} -},
journal = {{IACR} Trans. Cryptogr. Hardw. Embed. Syst.},
volume = {2018},
number = {3},
pages = {500--523},
year = {2018},
url = {https://doi.org/10.13154/tches.v2018.i3.500-523},
doi = {10.13154/TCHES.V2018.I3.500-523},
timestamp = {Fri, 27 Mar 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/tches/ParkSKH18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/pqcrypto/BernsteinY18,
author = {Daniel J. Bernstein and
Bo{-}Yin Yang},
editor = {Tanja Lange and
Rainer Steinwandt},
title = {Asymptotically Faster Quantum Algorithms to Solve Multivariate Quadratic
Equations},
booktitle = {Post-Quantum Cryptography - 9th International Conference, PQCrypto
2018, Fort Lauderdale, FL, USA, April 9-11, 2018, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {10786},
pages = {487--506},
publisher = {Springer},
year = {2018},
url = {https://doi.org/10.1007/978-3-319-79063-3\_23},
doi = {10.1007/978-3-319-79063-3\_23},
timestamp = {Tue, 14 May 2019 10:00:42 +0200},
biburl = {https://dblp.org/rec/conf/pqcrypto/BernsteinY18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cce/KaurKH17,
author = {Gurmeet Kaur and
Jitendra Kumar and
Stefan Heinrich},
title = {A weighted finite volume scheme for multivariate aggregation population
balance equation},
journal = {Comput. Chem. Eng.},
volume = {101},
pages = {1--10},
year = {2017},
url = {https://doi.org/10.1016/j.compchemeng.2017.02.011},
doi = {10.1016/J.COMPCHEMENG.2017.02.011},
timestamp = {Fri, 13 Nov 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/cce/KaurKH17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ma/FrancqS17,
author = {Christian Francq and
Genaro Sucarrat},
title = {An equation-by-equation estimator of a multivariate log-GARCH-X model
of financial returns},
journal = {J. Multivar. Anal.},
volume = {153},
pages = {16--32},
year = {2017},
url = {https://doi.org/10.1016/j.jmva.2016.09.010},
doi = {10.1016/J.JMVA.2016.09.010},
timestamp = {Thu, 14 Oct 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ma/FrancqS17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/pmh/Vincze17,
author = {Csaba Vincze},
title = {Algebraic dependency of roots of multivariate polynomials and its
applications to linear functional equations},
journal = {Period. Math. Hung.},
volume = {74},
number = {1},
pages = {112--117},
year = {2017},
url = {https://doi.org/10.1007/s10998-016-0171-y},
doi = {10.1007/S10998-016-0171-Y},
timestamp = {Thu, 04 Jun 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/pmh/Vincze17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/asiacrypt/ShimPK17,
author = {Kyung{-}Ah Shim and
Cheol{-}Min Park and
Namhun Koo},
editor = {Tsuyoshi Takagi and
Thomas Peyrin},
title = {An Existential Unforgeable Signature Scheme Based on Multivariate
Quadratic Equations},
booktitle = {Advances in Cryptology - {ASIACRYPT} 2017 - 23rd International Conference
on the Theory and Applications of Cryptology and Information Security,
Hong Kong, China, December 3-7, 2017, Proceedings, Part {I}},
series = {Lecture Notes in Computer Science},
volume = {10624},
pages = {37--64},
publisher = {Springer},
year = {2017},
url = {https://doi.org/10.1007/978-3-319-70694-8\_2},
doi = {10.1007/978-3-319-70694-8\_2},
timestamp = {Fri, 27 Mar 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/asiacrypt/ShimPK17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/desec/Leventi-PeetzP17,
author = {Anastasia{-}Maria Leventi{-}Peetz and
J.{-}V. Peetz},
title = {Generating and exploring S-box multivariate quadratic equation systems
with SageMath},
booktitle = {{IEEE} Conference on Dependable and Secure Computing, {DSC} 2017,
Taipei, Taiwan, August 7-10, 2017},
pages = {377--383},
publisher = {{IEEE}},
year = {2017},
url = {https://doi.org/10.1109/DESEC.2017.8073822},
doi = {10.1109/DESEC.2017.8073822},
timestamp = {Wed, 16 Oct 2019 14:14:49 +0200},
biburl = {https://dblp.org/rec/conf/desec/Leventi-PeetzP17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/sera/ZhouY0M17,
author = {Xiaoyi Zhou and
Xiaoming Yao and
Honglei Li and
Jixin Ma},
editor = {Liz Bacon and
Jixin Ma and
Lachlan M. MacKinnon},
title = {A bisectional multivariate quadratic equation system for {RFID} anti-counterfeiting},
booktitle = {15th {IEEE} International Conference on Software Engineering Research,
Management and Applications, {SERA} 2017, London, United Kingdom,
June 7-9, 2017},
pages = {19--23},
publisher = {{IEEE}},
year = {2017},
url = {https://doi.org/10.1109/SERA.2017.7965702},
doi = {10.1109/SERA.2017.7965702},
timestamp = {Mon, 12 Oct 2020 16:45:55 +0200},
biburl = {https://dblp.org/rec/conf/sera/ZhouY0M17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1711-11510,
author = {Francisco J. Valverde{-}Albacete and
Carmen Pel{\'{a}}ez{-}Moreno},
title = {The Channel Multivariate Entropy Triangle and Balance Equation},
journal = {CoRR},
volume = {abs/1711.11510},
year = {2017},
url = {http://arxiv.org/abs/1711.11510},
eprinttype = {arXiv},
eprint = {1711.11510},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1711-11510.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1712-07211,
author = {Jean{-}Charles Faug{\`{e}}re and
Kelsey Horan and
Delaram Kahrobaei and
Marc Kaplan and
Elham Kashefi and
Ludovic Perret},
title = {Fast Quantum Algorithm for Solving Multivariate Quadratic Equations},
journal = {CoRR},
volume = {abs/1712.07211},
year = {2017},
url = {http://arxiv.org/abs/1712.07211},
eprinttype = {arXiv},
eprint = {1712.07211},
timestamp = {Mon, 05 Feb 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-1712-07211.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/iacr/BernsteinY17,
author = {Daniel J. Bernstein and
Bo{-}Yin Yang},
title = {Asymptotically faster quantum algorithms to solve multivariate quadratic
equations},
journal = {{IACR} Cryptol. ePrint Arch.},
pages = {1206},
year = {2017},
url = {http://eprint.iacr.org/2017/1206},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/iacr/BernsteinY17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/iacr/FaugereHKKKP17,
author = {Jean{-}Charles Faug{\`{e}}re and
Kelsey Horan and
Delaram Kahrobaei and
Marc Kaplan and
Elham Kashefi and
Ludovic Perret},
title = {Fast Quantum Algorithm for Solving Multivariate Quadratic Equations},
journal = {{IACR} Cryptol. ePrint Arch.},
pages = {1236},
year = {2017},
url = {http://eprint.iacr.org/2017/1236},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/iacr/FaugereHKKKP17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/iacr/Ustimenko17,
author = {Vasyl Ustimenko},
title = {On new multivariate cryptosystems based on hidden Eulerian equations
over finite fields},
journal = {{IACR} Cryptol. ePrint Arch.},
pages = {93},
year = {2017},
url = {http://eprint.iacr.org/2017/093},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/iacr/Ustimenko17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jmiv/Welk16,
author = {Martin Welk},
title = {Multivariate Median Filters and Partial Differential Equations},
journal = {J. Math. Imaging Vis.},
volume = {56},
number = {2},
pages = {320--351},
year = {2016},
url = {https://doi.org/10.1007/s10851-016-0645-9},
doi = {10.1007/S10851-016-0645-9},
timestamp = {Mon, 08 Jun 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jmiv/Welk16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cca/MonaganT15,
author = {Michael B. Monagan and
Baris Tuncer},
title = {Using sparse interpolation to solve multivariate diophantine equations},
journal = {{ACM} Commun. Comput. Algebra},
volume = {49},
number = {3},
pages = {94--97},
year = {2015},
url = {https://doi.org/10.1145/2850449.2850459},
doi = {10.1145/2850449.2850459},
timestamp = {Wed, 04 Mar 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/cca/MonaganT15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/indocrypt/ShimPB15,
author = {Kyung{-}Ah Shim and
Cheol{-}Min Park and
Yoo{-}Jin Baek},
editor = {Alex Biryukov and
Vipul Goyal},
title = {Lite-Rainbow: Lightweight Signature Schemes Based on Multivariate
Quadratic Equations and Their Secure Implementations},
booktitle = {Progress in Cryptology - {INDOCRYPT} 2015 - 16th International Conference
on Cryptology in India, Bangalore, India, December 6-9, 2015, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {9462},
pages = {45--63},
publisher = {Springer},
year = {2015},
url = {https://doi.org/10.1007/978-3-319-26617-6\_3},
doi = {10.1007/978-3-319-26617-6\_3},
timestamp = {Tue, 14 May 2019 10:00:51 +0200},
biburl = {https://dblp.org/rec/conf/indocrypt/ShimPB15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/HuangB15,
author = {Heliang Huang and
Wansu Bao},
title = {Algorithm for Solving Massively Underdefined Systems of Multivariate
Quadratic Equations over Finite Fields},
journal = {CoRR},
volume = {abs/1507.03674},
year = {2015},
url = {http://arxiv.org/abs/1507.03674},
eprinttype = {arXiv},
eprint = {1507.03674},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/HuangB15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/Leventi-PeetzP15,
author = {Anastasia{-}Maria Leventi{-}Peetz and
J.{-}V. Peetz},
title = {Generating S-Box Multivariate Quadratic Equation Systems And Estimating
Algebraic Attack Resistance Aided By SageMath},
journal = {CoRR},
volume = {abs/1506.04319},
year = {2015},
url = {http://arxiv.org/abs/1506.04319},
eprinttype = {arXiv},
eprint = {1506.04319},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/Leventi-PeetzP15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/Welk15,
author = {Martin Welk},
title = {Multivariate Median Filters and Partial Differential Equations},
journal = {CoRR},
volume = {abs/1509.08082},
year = {2015},
url = {http://arxiv.org/abs/1509.08082},
eprinttype = {arXiv},
eprint = {1509.08082},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/Welk15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/iacr/Leventi-PeetzP15,
author = {Anastasia{-}Maria Leventi{-}Peetz and
J.{-}V. Peetz},
title = {Generating S-Box Multivariate Quadratic Equation Systems And Estimating
Algebraic Attack Resistance Aided By SageMath},
journal = {{IACR} Cryptol. ePrint Arch.},
pages = {589},
year = {2015},
url = {http://eprint.iacr.org/2015/589},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/iacr/Leventi-PeetzP15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/Ozarslan14,
author = {Mehmet Ali {\"{O}}zarslan},
title = {On a singular integral equation including a set of multivariate polynomials
suggested by Laguerre polynomials},
journal = {Appl. Math. Comput.},
volume = {229},
pages = {350--358},
year = {2014},
url = {https://doi.org/10.1016/j.amc.2013.12.050},
doi = {10.1016/J.AMC.2013.12.050},
timestamp = {Fri, 21 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/Ozarslan14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/automatica/GovindarajanVK14,
author = {Nithin Govindarajan and
Cornelis C. de Visser and
Kalmanje Krishnakumar},
title = {A sparse collocation method for solving time-dependent {HJB} equations
using multivariate B-splines},
journal = {Autom.},
volume = {50},
number = {9},
pages = {2234--2244},
year = {2014},
url = {https://doi.org/10.1016/j.automatica.2014.07.012},
doi = {10.1016/J.AUTOMATICA.2014.07.012},
timestamp = {Sun, 02 Oct 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/automatica/GovindarajanVK14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/dm/ChonHL14,
author = {Michael Chon and
Christopher R. H. Hanusa and
Amy Lee},
title = {Solving multivariate functional equations},
journal = {Discret. Math.},
volume = {319},
pages = {40--46},
year = {2014},
url = {https://doi.org/10.1016/j.disc.2013.11.023},
doi = {10.1016/J.DISC.2013.11.023},
timestamp = {Fri, 12 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/dm/ChonHL14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/ieicet/MiuraHT14,
author = {Hiroyuki Miura and
Yasufumi Hashimoto and
Tsuyoshi Takagi},
title = {Extended Algorithm for Solving Underdefined Multivariate Quadratic
Equations},
journal = {{IEICE} Trans. Fundam. Electron. Commun. Comput. Sci.},
volume = {97-A},
number = {6},
pages = {1418--1425},
year = {2014},
url = {https://doi.org/10.1587/transfun.E97.A.1418},
doi = {10.1587/TRANSFUN.E97.A.1418},
timestamp = {Sun, 02 Oct 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ieicet/MiuraHT14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ieicet/TakayasuK14,
author = {Atsushi Takayasu and
Noboru Kunihiro},
title = {Better Lattice Constructions for Solving Multivariate Linear Equations
Modulo Unknown Divisors},
journal = {{IEICE} Trans. Fundam. Electron. Commun. Comput. Sci.},
volume = {97-A},
number = {6},
pages = {1259--1272},
year = {2014},
url = {https://doi.org/10.1587/transfun.E97.A.1259},
doi = {10.1587/TRANSFUN.E97.A.1259},
timestamp = {Mon, 15 Jun 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ieicet/TakayasuK14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/jcss/CrowstonFGJKRRTY14,
author = {Robert Crowston and
Michael R. Fellows and
Gregory Z. Gutin and
Mark Jones and
Eun Jung Kim and
Fran Rosamond and
Imre Z. Ruzsa and
St{\'{e}}phan Thomass{\'{e}} and
Anders Yeo},
title = {Satisfying more than half of a system of linear equations over {GF(2):}
{A} multivariate approach},
journal = {J. Comput. Syst. Sci.},
volume = {80},
number = {4},
pages = {687--696},
year = {2014},
url = {https://doi.org/10.1016/j.jcss.2013.10.002},
doi = {10.1016/J.JCSS.2013.10.002},
timestamp = {Sun, 02 Oct 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jcss/CrowstonFGJKRRTY14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/tac/RenZ014,
author = {Mifeng Ren and
Jianhua Zhang and
Hong Wang},
title = {Minimized Tracking Error Randomness Control for Nonlinear Multivariate
and Non-Gaussian Systems Using the Generalized Density Evolution Equation},
journal = {{IEEE} Trans. Autom. Control.},
volume = {59},
number = {9},
pages = {2486--2490},
year = {2014},
url = {https://doi.org/10.1109/TAC.2014.2305932},
doi = {10.1109/TAC.2014.2305932},
timestamp = {Sat, 09 Apr 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/tac/RenZ014.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/pqcrypto/ChengHMT14,
author = {Chen{-}Mou Cheng and
Yasufumi Hashimoto and
Hiroyuki Miura and
Tsuyoshi Takagi},
editor = {Michele Mosca},
title = {A Polynomial-Time Algorithm for Solving a Class of Underdetermined
Multivariate Quadratic Equations over Fields of Odd Characteristics},
booktitle = {Post-Quantum Cryptography - 6th International Workshop, PQCrypto 2014,
Waterloo, ON, Canada, October 1-3, 2014. Proceedings},
series = {Lecture Notes in Computer Science},
volume = {8772},
pages = {40--58},
publisher = {Springer},
year = {2014},
url = {https://doi.org/10.1007/978-3-319-11659-4\_3},
doi = {10.1007/978-3-319-11659-4\_3},
timestamp = {Sun, 02 Oct 2022 01:00:00 +0200},
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author = {Jugal Garg and
Ruta Mehta and
Vijay V. Vazirani and
Sadra Yazdanbod},
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@article{DBLP:journals/dcc/GaoH13,
author = {Shuhong Gao and
Raymond Heindl},
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@inproceedings{DBLP:conf/acisp/TakayasuK13,
author = {Atsushi Takayasu and
Noboru Kunihiro},
editor = {Colin Boyd and
Leonie Simpson},
title = {Better Lattice Constructions for Solving Multivariate Linear Equations
Modulo Unknown Divisors},
booktitle = {Information Security and Privacy - 18th Australasian Conference, {ACISP}
2013, Brisbane, Australia, July 1-3, 2013. Proceedings},
series = {Lecture Notes in Computer Science},
volume = {7959},
pages = {118--135},
publisher = {Springer},
year = {2013},
url = {https://doi.org/10.1007/978-3-642-39059-3\_9},
doi = {10.1007/978-3-642-39059-3\_9},
timestamp = {Mon, 15 Jun 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/acisp/TakayasuK13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@inproceedings{DBLP:conf/eidwt/QiuCLH13,
author = {Yuanying Qiu and
Ying Chen and
Lei Li and
Xianwen He},
title = {Multivariate Spectral Conjugate Gradient Projection Method for Nonlinear
Monotone Equations},
booktitle = {2013 Fourth International Conference on Emerging Intelligent Data
and Web Technologies, Xi'an, Shaanxi, China, September 9-11, 2013},
pages = {672--675},
publisher = {{IEEE} Computer Society},
year = {2013},
url = {https://doi.org/10.1109/EIDWT.2013.121},
doi = {10.1109/EIDWT.2013.121},
timestamp = {Fri, 24 Mar 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/eidwt/QiuCLH13.bib},
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@inproceedings{DBLP:conf/med/TzekisAV13,
author = {P. A. Tzekis and
Efstathios N. Antoniou and
Stavros Vologiannidis},
title = {Computation of the general solution of a multivariate polynomial matrix
Diophantine equation},
booktitle = {21st Mediterranean Conference on Control and Automation, Platanias,
Chania, Crete, Greece, June 25-28, 2013},
pages = {677--682},
publisher = {{IEEE}},
year = {2013},
url = {https://doi.org/10.1109/MED.2013.6608796},
doi = {10.1109/MED.2013.6608796},
timestamp = {Wed, 16 Oct 2019 14:14:56 +0200},
biburl = {https://dblp.org/rec/conf/med/TzekisAV13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@inproceedings{DBLP:conf/pqcrypto/MiuraHT13,
author = {Hiroyuki Miura and
Yasufumi Hashimoto and
Tsuyoshi Takagi},
editor = {Philippe Gaborit},
title = {Extended Algorithm for Solving Underdefined Multivariate Quadratic
Equations},
booktitle = {Post-Quantum Cryptography - 5th International Workshop, PQCrypto 2013,
Limoges, France, June 4-7, 2013. Proceedings},
series = {Lecture Notes in Computer Science},
volume = {7932},
pages = {118--135},
publisher = {Springer},
year = {2013},
url = {https://doi.org/10.1007/978-3-642-38616-9\_8},
doi = {10.1007/978-3-642-38616-9\_8},
timestamp = {Sun, 02 Oct 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/pqcrypto/MiuraHT13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/iacr/Gavin13,
author = {G{\'{e}}rald Gavin},
title = {An efficient {FHE} based on the hardness of solving systems of non-linear
multivariate equations},
journal = {{IACR} Cryptol. ePrint Arch.},
pages = {262},
year = {2013},
url = {http://eprint.iacr.org/2013/262},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/iacr/Gavin13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/iacr/Gavin13a,
author = {G{\'{e}}rald Gavin},
title = {An efficient {FHE} proposal based on the hardness of solving systems
of nonlinear multivariate equations {(II)}},
journal = {{IACR} Cryptol. ePrint Arch.},
pages = {740},
year = {2013},
url = {http://eprint.iacr.org/2013/740},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/iacr/Gavin13a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/jsiaml/ZhangT12,
author = {Hui Zhang and
Tsuyoshi Takagi},
title = {An exhaustive search method to find all small solutions of a multivariate
modular linear equation},
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pages = {37--40},
year = {2012},
url = {https://doi.org/10.14495/jsiaml.4.37},
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timestamp = {Wed, 17 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jsiaml/ZhangT12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@inproceedings{DBLP:conf/cisc/DingRT12,
author = {Jintai Ding and
Ai Ren and
Chengdong Tao},
editor = {Miroslaw Kutylowski and
Moti Yung},
title = {Embedded Surface Attack on Multivariate Public Key Cryptosystems from
Diophantine Equations},
booktitle = {Information Security and Cryptology - 8th International Conference,
Inscrypt 2012, Beijing, China, November 28-30, 2012, Revised Selected
Papers},
series = {Lecture Notes in Computer Science},
volume = {7763},
pages = {122--136},
publisher = {Springer},
year = {2012},
url = {https://doi.org/10.1007/978-3-642-38519-3\_9},
doi = {10.1007/978-3-642-38519-3\_9},
timestamp = {Tue, 14 May 2019 10:00:52 +0200},
biburl = {https://dblp.org/rec/conf/cisc/DingRT12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@inproceedings{DBLP:conf/pkc/ThomaeW12,
author = {Enrico Thomae and
Christopher Wolf},
editor = {Marc Fischlin and
Johannes Buchmann and
Mark Manulis},
title = {Solving Underdetermined Systems of Multivariate Quadratic Equations
Revisited},
booktitle = {Public Key Cryptography - {PKC} 2012 - 15th International Conference
on Practice and Theory in Public Key Cryptography, Darmstadt, Germany,
May 21-23, 2012. Proceedings},
series = {Lecture Notes in Computer Science},
volume = {7293},
pages = {156--171},
publisher = {Springer},
year = {2012},
url = {https://doi.org/10.1007/978-3-642-30057-8\_10},
doi = {10.1007/978-3-642-30057-8\_10},
timestamp = {Mon, 16 Nov 2020 15:55:52 +0100},
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@phdthesis{DBLP:phd/basesearch/Mohamed11,
author = {Mohamed Saied Emam Mohamed},
title = {Improved Strategies for Solving Multivariate Polynomial Equation Systems
over Finite Fields},
school = {{TU} Darmstadt, Germany},
year = {2011},
url = {http://tuprints.ulb.tu-darmstadt.de/2622/},
timestamp = {Wed, 13 Mar 2024 00:00:00 +0100},
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author = {Yasufumi Hashimoto},
title = {Algorithms to Solve Massively Under-Defined Systems of Multivariate
Quadratic Equations},
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volume = {94-A},
number = {6},
pages = {1257--1262},
year = {2011},
url = {https://doi.org/10.1587/transfun.E94.A.1257},
doi = {10.1587/TRANSFUN.E94.A.1257},
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@article{DBLP:journals/ma/PatriotaBA11,
author = {Alexandre Galv{\~{a}}o Patriota and
Heleno Bolfarine and
Reinaldo Boris Arellano{-}Valle},
title = {A multivariate ultrastructural errors-in-variables model with equation
error},
journal = {J. Multivar. Anal.},
volume = {102},
number = {2},
pages = {386--392},
year = {2011},
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doi = {10.1016/J.JMVA.2010.08.013},
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biburl = {https://dblp.org/rec/journals/ma/PatriotaBA11.bib},
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@inproceedings{DBLP:conf/issac/KauersS11,
author = {Manuel Kauers and
Carsten Schneider},
editor = {{\'{E}}ric Schost and
Ioannis Z. Emiris},
title = {A refined denominator bounding algorithm for multivariate linear difference
equations},
booktitle = {Symbolic and Algebraic Computation, International Symposium, {ISSAC}
2011 (co-located with {FCRC} 2011), San Jose, CA, USA, June 7-11,
2011, Proceedings},
pages = {201--208},
publisher = {{ACM}},
year = {2011},
url = {https://doi.org/10.1145/1993886.1993919},
doi = {10.1145/1993886.1993919},
timestamp = {Tue, 06 Nov 2018 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/issac/KauersS11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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author = {Manuel Kauers and
Carsten Schneider},
title = {A Refined Denominator Bounding Algorithm for Multivariate Linear Difference
Equations},
journal = {CoRR},
volume = {abs/1101.2803},
year = {2011},
url = {http://arxiv.org/abs/1101.2803},
eprinttype = {arXiv},
eprint = {1101.2803},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1101-2803.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@book{DBLP:books/lib/Byrne10,
author = {Barbara M. Byrne},
title = {Structural equation modeling with {AMOS} - basic concepts, applications,
and programming, 2nd Edition},
series = {Multivariate applications series},
publisher = {Routledge},
year = {2010},
url = {https://www.worldcat.org/oclc/699067483},
isbn = {9780805863734},
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bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/fs/ReichSW10,
author = {Nils Reich and
Christoph Schwab and
Christoph Winter},
title = {On Kolmogorov equations for anisotropic multivariate L{\'{e}}vy
processes},
journal = {Finance Stochastics},
volume = {14},
number = {4},
pages = {527--567},
year = {2010},
url = {https://doi.org/10.1007/s00780-009-0108-x},
doi = {10.1007/S00780-009-0108-X},
timestamp = {Wed, 22 Jul 2020 01:00:00 +0200},
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bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/na/ChenLTA10,
author = {Chang{-}Ming Chen and
Fawang Liu and
Ian W. Turner and
Vo Anh},
title = {Numerical schemes and multivariate extrapolation of a two-dimensional
anomalous sub-diffusion equation},
journal = {Numer. Algorithms},
volume = {54},
number = {1},
pages = {1--21},
year = {2010},
url = {https://doi.org/10.1007/s11075-009-9320-1},
doi = {10.1007/S11075-009-9320-1},
timestamp = {Sat, 25 Apr 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/na/ChenLTA10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/iacr/Yagisawa10a,
author = {Masahiro Yagisawa},
title = {Key Agreement Protocols Based on Multivariate Algebraic Equations
on Quaternion Ring},
journal = {{IACR} Cryptol. ePrint Arch.},
pages = {377},
year = {2010},
url = {http://eprint.iacr.org/2010/377},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/iacr/Yagisawa10a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/iacr/Yagisawa10b,
author = {Masahiro Yagisawa},
title = {Key Agreement Protocols Using Multivariate Equations on Non-commutative
Ring},
journal = {{IACR} Cryptol. ePrint Arch.},
pages = {458},
year = {2010},
url = {http://eprint.iacr.org/2010/458},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/iacr/Yagisawa10b.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/chinaf/ZhouLWD09,
author = {Haijian Zhou and
Ping Luo and
Daoshun Wang and
Yiqi Dai},
title = {Probability method for cryptanalysis of general multivariate modular
linear equation},
journal = {Sci. China Ser. {F} Inf. Sci.},
volume = {52},
number = {10},
pages = {1792--1800},
year = {2009},
url = {https://doi.org/10.1007/s11432-009-0159-9},
doi = {10.1007/S11432-009-0159-9},
timestamp = {Mon, 18 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/chinaf/ZhouLWD09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/cssc/TaramiK09,
author = {Bahram Tarami and
Z. Khodadadi},
title = {Exact Likelihood Equations for Autoregression Models with Multivariate
Elliptically Contoured Distributions},
journal = {Commun. Stat. Simul. Comput.},
volume = {38},
number = {5},
pages = {976--989},
year = {2009},
url = {https://doi.org/10.1080/03610910802711743},
doi = {10.1080/03610910802711743},
timestamp = {Thu, 05 Nov 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/cssc/TaramiK09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@inproceedings{DBLP:conf/dagstuhl/BuchmannDMM09,
author = {Johannes Buchmann and
Jintai Ding and
Mohamed Saied Emam Mohamed and
Wael Said Abd Elmageed Mohamed},
editor = {Helena Handschuh and
Stefan Lucks and
Bart Preneel and
Phillip Rogaway},
title = {MutantXL: Solving Multivariate Polynomial Equations for Cryptanalysis},
booktitle = {Symmetric Cryptography, 11.01. - 16.01.2009},
series = {Dagstuhl Seminar Proceedings},
volume = {09031},
publisher = {Schloss Dagstuhl - Leibniz-Zentrum f{\"{u}}r Informatik, Germany},
year = {2009},
url = {http://drops.dagstuhl.de/opus/volltexte/2009/1945/},
timestamp = {Thu, 10 Jun 2021 13:02:06 +0200},
biburl = {https://dblp.org/rec/conf/dagstuhl/BuchmannDMM09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/iacr/Hashimoto09,
author = {Yasufumi Hashimoto},
title = {Algorithms to solve massively under-defined systems of multivariate
quadratic equations},
journal = {{IACR} Cryptol. ePrint Arch.},
pages = {154},
year = {2009},
url = {http://eprint.iacr.org/2009/154},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/iacr/Hashimoto09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/iacr/WongBL09,
author = {Kenneth Koon{-}Ho Wong and
Gregory V. Bard and
Robert H. Lewis},
title = {Partitioning Multivariate Polynomial Equations via Vertex Separators
for Algebraic Cryptanalysis and Mathematical Applications},
journal = {{IACR} Cryptol. ePrint Arch.},
pages = {343},
year = {2009},
url = {http://eprint.iacr.org/2009/343},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/iacr/WongBL09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/iacr/ChenCDWY08,
author = {Chia{-}Hsin Owen Chen and
Ming{-}Shing Chen and
Jintai Ding and
Fabian Werner and
Bo{-}Yin Yang},
title = {Odd-Char Multivariate Hidden Field Equations},
journal = {{IACR} Cryptol. ePrint Arch.},
pages = {543},
year = {2008},
url = {http://eprint.iacr.org/2008/543},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/iacr/ChenCDWY08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@inproceedings{DBLP:conf/acisp/BilletRP07,
author = {Olivier Billet and
Matthew J. B. Robshaw and
Thomas Peyrin},
editor = {Josef Pieprzyk and
Hossein Ghodosi and
Ed Dawson},
title = {On Building Hash Functions from Multivariate Quadratic Equations},
booktitle = {Information Security and Privacy, 12th Australasian Conference, {ACISP}
2007, Townsville, Australia, July 2-4, 2007, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {4586},
pages = {82--95},
publisher = {Springer},
year = {2007},
url = {https://doi.org/10.1007/978-3-540-73458-1\_7},
doi = {10.1007/978-3-540-73458-1\_7},
timestamp = {Tue, 14 May 2019 10:00:46 +0200},
biburl = {https://dblp.org/rec/conf/acisp/BilletRP07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@inproceedings{DBLP:conf/pkc/DingHNLW07,
author = {Jintai Ding and
Lei Hu and
Xuyun Nie and
Jianyu Li and
John Wagner},
editor = {Tatsuaki Okamoto and
Xiaoyun Wang},
title = {High Order Linearization Equation {(HOLE)} Attack on Multivariate
Public Key Cryptosystems},
booktitle = {Public Key Cryptography - {PKC} 2007, 10th International Conference
on Practice and Theory in Public-Key Cryptography, Beijing, China,
April 16-20, 2007, Proceedings},
series = {Lecture Notes in Computer Science},
volume = {4450},
pages = {233--248},
publisher = {Springer},
year = {2007},
url = {https://doi.org/10.1007/978-3-540-71677-8\_16},
doi = {10.1007/978-3-540-71677-8\_16},
timestamp = {Fri, 01 May 2020 18:32:25 +0200},
biburl = {https://dblp.org/rec/conf/pkc/DingHNLW07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/talg/Eppstein06,
author = {David Eppstein},
title = {Quasiconvex analysis of multivariate recurrence equations for backtracking
algorithms},
journal = {{ACM} Trans. Algorithms},
volume = {2},
number = {4},
pages = {492--509},
year = {2006},
url = {https://doi.org/10.1145/1198513.1198515},
doi = {10.1145/1198513.1198515},
timestamp = {Tue, 06 Nov 2018 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/talg/Eppstein06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/iacr/DingGS06,
author = {Jintai Ding and
Jason E. Gower and
Dieter Schmidt},
title = {Zhuang-Zi: {A} New Algorithm for Solving Multivariate Polynomial Equations
over a Finite Field},
journal = {{IACR} Cryptol. ePrint Arch.},
pages = {38},
year = {2006},
url = {http://eprint.iacr.org/2006/038},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/iacr/DingGS06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/iacr/DingHNLW06,
author = {Jintai Ding and
Lei Hu and
Xuyun Nie and
Jianyu Li and
John Wagner},
title = {High Order Linearization Equation {(HOLE)} Attack on Multivariate
Public Key Cryptosystems},
journal = {{IACR} Cryptol. ePrint Arch.},
pages = {336},
year = {2006},
url = {http://eprint.iacr.org/2006/336},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/iacr/DingHNLW06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/datamine/LeeKHK05,
author = {Seong Lee and
Hyun{-}Cheol Kang and
Sang{-}Tae Han and
Kwang{-}Hwan Kim},
title = {Using Generalized Estimating Equation to Learn Decision Tree with
Multivariate Responses},
journal = {Data Min. Knowl. Discov.},
volume = {11},
number = {3},
pages = {273--293},
year = {2005},
url = {https://doi.org/10.1007/s10618-005-0004-8},
doi = {10.1007/S10618-005-0004-8},
timestamp = {Sat, 20 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/datamine/LeeKHK05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/iacr/TangF05a,
author = {Xijin Tang and
Yong Feng},
title = {A New Efficient Algorithm for Solving Systems of Multivariate Polynomial
Equations},
journal = {{IACR} Cryptol. ePrint Arch.},
pages = {312},
year = {2005},
url = {http://eprint.iacr.org/2005/312},
timestamp = {Thu, 31 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/iacr/TangF05a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/iacr/WolfP05,
author = {Christopher Wolf and
Bart Preneel},
title = {Taxonomy of Public Key Schemes based on the problem of Multivariate
Quadratic equations},
journal = {{IACR} Cryptol. ePrint Arch.},
pages = {77},
year = {2005},
url = {http://eprint.iacr.org/2005/077},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/iacr/WolfP05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/adcm/Li04,
author = {Song Li},
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Erich L. Kaltofen and
John P. May and
Zhengfeng Yang and
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editor = {Jaime Gutierrez},
title = {Approximate factorization of multivariate polynomials via differential
equations},
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timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
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@inproceedings{DBLP:conf/pkc/CourtoisGMT02,
author = {Nicolas T. Courtois and
Louis Goubin and
Willi Meier and
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editor = {David Naccache and
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title = {Solving Underdefined Systems of Multivariate Quadratic Equations},
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@inproceedings{DBLP:conf/eurocrypt/CourtoisKPS00,
author = {Nicolas T. Courtois and
Alexander Klimov and
Jacques Patarin and
Adi Shamir},
editor = {Bart Preneel},
title = {Efficient Algorithms for Solving Overdefined Systems of Multivariate
Polynomial Equations},
booktitle = {Advances in Cryptology - {EUROCRYPT} 2000, International Conference
on the Theory and Application of Cryptographic Techniques, Bruges,
Belgium, May 14-18, 2000, Proceeding},
series = {Lecture Notes in Computer Science},
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publisher = {Springer},
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title = {On Finding Small Solutions of Modular Multivariate Polynomial Equations},
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author = {Srdjan Stojanovic},
editor = {Shuping Chen and
Xunjing Li and
Jiongmin Yong and
Xun Yu Zhou},
title = {Multivariate Constrained Portfolio Rules: Derivation of Monge-Amp{\`{e}}re
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booktitle = {Control of Distributed Parameter and Stochastic Systems, Proceedings
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Hangzhou, China},
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editor = {Jeffrey Scott Vitter},
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booktitle = {Proceedings of the Thirtieth Annual {ACM} Symposium on the Theory
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bibsource = {dblp computer science bibliography, https://dblp.org}
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