Regularization and decimation pseudolikelihood approaches to statistical inference in XY spin models

Payal Tyagi; Alessia Marruzzo; Andrea Pagnani; Fabrizio Antenucci; Luca Leuzzi

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Regularization and decimation pseudolikelihood approaches to statistical inference in XY spin models

机译：XY自旋模型中统计推断的正则化和抽取伪似然方法

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We implement a pseudolikelihood approach with l_1 and l_2 regularizations as well as the recently introduced pseudolikelihood with decimation procedure to the inverse problem in continuous spin models on arbitrary networks, with arbitrarily disordered couplings. Performances of the approaches are tested against data produced by Monte Carlo numerical simulations and compared also to previously studied fully connected mean-field-based inference techniques. The results clearly show that the best network reconstruction is obtained through the decimation scheme, which also allows us to make the inference down to lower temperature regimes. Possible applications to phasor models for light propagation in random media are proposed and discussed.

机译：我们实现了具有l_1和l_2正则化的伪似然方法，以及最近引入的具有抽取过程的伪似然方法，以对任意网络上具有任意无序耦合的连续自旋模型中的逆问题进行抽取。该方法的性能针对由蒙特卡洛数值模拟产生的数据进行了测试，并且还与先前研究的基于均值场的全连接推理技术进行了比较。结果清楚地表明，通过抽选方案可以获得最佳的网络重构，这也使我们可以将推理降至较低的温度范围。提出并讨论了相量模型在光在随机介质中传播的可能应用。

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《Physical review》 |2016年第2期|024203.1-024203.11|共11页
作者
Payal Tyagi; Alessia Marruzzo; Andrea Pagnani; Fabrizio Antenucci; Luca Leuzzi;
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CNR-NANOTEC, Institute of Nanotechnology, Rome - Soft and Living Matter Laboratory, Piazzale Aldo Mow 5,I-00185 Rome, Italy;

CNR-NANOTEC, Institute of Nanotechnology, Rome - Soft and Living Matter Laboratory, Piazzale Aldo Mow 5,I-00185 Rome, Italy;

Department of Applied Science and Technology and Center for Computational Sciences, Politecnico di Torino, Corso Duca degli Abruzzi 24, Torino, Italy,Human Genetics Foundation - Torino, Via Nizza 52, Torino, Italy;

CNR-NANOTEC, Institute of Nanotechnology, Rome - Soft and Living Matter Laboratory, Piazzale Aldo Mow 5,I-00185 Rome, Italy;

CNR-NANOTEC, Institute of Nanotechnology, Rome - Soft and Living Matter Laboratory, Piazzale Aldo Mow 5,I-00185 Rome, Italy,Dipartimento di Fisica, Universita 'Sapienza', Piazzale Aldo Mow 5,I-00185 Rome, Italy;

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1. Regularization and decimation pseudolikelihood approaches to statistical inference in XY spin models [J] . Tyagi Payal, Marruzzo Alessia, Pagnani Andrea, Physical review, B . 2016,第2期

机译：XY自旋模型中统计推断的正则化和抽取伪似然方法
2. Pseudolikelihood Decimation Algorithm Improving the Inference of the Interaction Network in a General Class of Ising Models [J] . Aurelien Decelle, Federico Ricci-Tersenghi Physical review letters . 2014,第7期

机译：伪似然抽取算法改善通用Ising模型中交互网络的推断
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4. Magnetic states and frustrations of square spin ice in 2D XY point dipoles model [C] . Yuriy Shevchenko, Konstantin Nefedev Asia school-conference on physics and technology of nanostructured materials . 2016

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5. Advances in Model-Agnostic Approaches to Statistical Inference [D] . Whitney, David. 2019

机译：模型 - 不可行的统计推理方法的进步
6. On pseudolikelihood inference for semiparametric models with boundaryproblems [O] . Y. Chen, J. Ning, Y. Ning, -1

机译：具有边界的半参数模型的伪似然推断问题
7. Regularization and decimation pseudolikelihood approaches to statistical inference inXYspin models [O] . Tyagi, Payal, Marruzzo, Alessia, Pagnani, Andrea, 2016

机译：XYspin模型中统计推断的正则化和抽取伪似然方法
8. 1D spin-1/2 XY models as a testing ground for spin systems theory methods [R] . Derzhko, O. , Verkholyak, T. 1995

机译：1D spin-1/2 XY模型作为自旋系统理论方法的试验场

Regularization and decimation pseudolikelihood approaches to statistical inference in XY spin models

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