Data quality for the inverse Ising problem

doi:http://dx.doi.org/10.1088/1751-8113/49/38/384001

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	Data quality for the inverse Ising problem
	Decelle, A; Ricci-Tersenghi, F; Zhang, P; Ricci-Tersenghi, F (reprint author), Univ Roma La Sapienza, Dipartimento Fis, Ist Nazl Fis Nucl, Sez Roma1, Piazzale Aldo Moro 5, I-00185 Rome, Italy.; Ricci-Tersenghi, F (reprint author), Univ Roma La Sapienza, CNR Nanotec, I-00185 Rome, Italy.
刊名	JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
	2016
卷号	49 期号:38 页码:384001
关键词	Statistical Inference Inverse Ising Problem Big Data Parallel Dynamics Effective Rank
DOI	http://dx.doi.org/10.1088/1751-8113/49/38/384001
英文摘要	There are many methods proposed for inferring parameters of the Ising model from given data, that is a set of configurations generated according to the model itself. However little attention has been paid until now to the data, e.g. how the data is generated, whether the inference error using one set of data could be smaller than using another set of data, etc. In this paper we discuss the data quality problem in the inverse Ising problem, using as a benchmark the kinetic Ising model. We quantify the quality of data using effective rank of the correlation matrix, and show that data gathered in a out-of-equilibrium regime has a better quality than data gathered in equilibrium for coupling reconstruction. We also propose a matrix-perturbation based method for tuning the quality of given data and for removing bad-quality (i.e. redundant) configurations from data.
学科主题	Physics
语种	英语
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/21526]
专题	理论物理研究所_理论物理所1978-2010年知识产出
通讯作者	Ricci-Tersenghi, F (reprint author), Univ Roma La Sapienza, Dipartimento Fis, Ist Nazl Fis Nucl, Sez Roma1, Piazzale Aldo Moro 5, I-00185 Rome, Italy.; Ricci-Tersenghi, F (reprint author), Univ Roma La Sapienza, CNR Nanotec, I-00185 Rome, Italy.
推荐引用方式 GB/T 7714	Decelle, A,Ricci-Tersenghi, F,Zhang, P,et al. Data quality for the inverse Ising problem[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL,2016,49(38):384001.
APA	Decelle, A,Ricci-Tersenghi, F,Zhang, P,Ricci-Tersenghi, F ,&Ricci-Tersenghi, F .(2016).Data quality for the inverse Ising problem.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL,49(38),384001.
MLA	Decelle, A,et al."Data quality for the inverse Ising problem".JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 49.38(2016):384001.