首页 > 最新文献

Journal of Algebraic Statistics最新文献

英文 中文
Exact tests to compare contingency tables under quasi-independence and quasi-symmetry 拟独立和拟对称条件下列联表比较的精确检验
Pub Date : 2017-04-17 DOI: 10.18409/JAS.V10I1.65
C. Bocci, Fabio Rapallo
In this work we define log-linear models to compare several square contingency tables under the quasi-independence or the quasi-symmetry model, and the relevant Markov bases are theoretically characterized. Through Markov bases, an exact test to evaluate if two or more tables fit a common model is introduced. Two real-data examples illustrate the use of these models in different fields of applications.
在这项工作中,我们定义了对数线性模型来比较准独立或准对称模型下的几个平方列联表,并从理论上刻画了相关的马尔可夫基。通过Markov基,引入了一个精确的测试来评估两个或多个表是否适合一个公共模型。两个实际数据示例说明了这些模型在不同应用领域中的使用。
{"title":"Exact tests to compare contingency tables under quasi-independence and quasi-symmetry","authors":"C. Bocci, Fabio Rapallo","doi":"10.18409/JAS.V10I1.65","DOIUrl":"https://doi.org/10.18409/JAS.V10I1.65","url":null,"abstract":"In this work we define log-linear models to compare several square contingency tables under the quasi-independence or the quasi-symmetry model, and the relevant Markov bases are theoretically characterized. Through Markov bases, an exact test to evaluate if two or more tables fit a common model is introduced. Two real-data examples illustrate the use of these models in different fields of applications.","PeriodicalId":41066,"journal":{"name":"Journal of Algebraic Statistics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2017-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45433541","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Strongly Robust Toric Ideals in Codimension 2 余维2中的强鲁棒环面理想
Pub Date : 2016-10-24 DOI: 10.18409/JAS.V10I1.62
S. Sullivant
A homogeneous ideal is robust if its universal Gröbner basis is also a minimal generating set.  For toric ideals, one has the stronger definition: A toric ideal is strongly robust if its Graver basis equals the set of indispensable binomials.  We characterize the codimension 2  strongly robust toric ideals by their Gale diagrams.  This give a positive answer to a question of Petrovic, Thoma, and Vladoiu in the case of codimension 2 toric ideals.
齐次理想是鲁棒的,如果它的全称Gröbner基也是一个极小的发电集。对于环理想,有一个更强的定义:一个环理想是强鲁棒的,如果它的格拉弗基等于一组不可或缺的二项。我们用Gale图刻画了余维2强鲁棒环理想。这就给了Petrovic, Thoma和Vladoiu关于余维数为2的环面理想的问题一个肯定的答案。
{"title":"Strongly Robust Toric Ideals in Codimension 2","authors":"S. Sullivant","doi":"10.18409/JAS.V10I1.62","DOIUrl":"https://doi.org/10.18409/JAS.V10I1.62","url":null,"abstract":"A homogeneous ideal is robust if its universal Gröbner basis is also a minimal generating set.  For toric ideals, one has the stronger definition: A toric ideal is strongly robust if its Graver basis equals the set of indispensable binomials.  We characterize the codimension 2  strongly robust toric ideals by their Gale diagrams.  This give a positive answer to a question of Petrovic, Thoma, and Vladoiu in the case of codimension 2 toric ideals.","PeriodicalId":41066,"journal":{"name":"Journal of Algebraic Statistics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2016-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68237054","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 10
The geometry of Sloppiness 马虎的几何学
Pub Date : 2016-08-19 DOI: 10.18409/JAS.V9I1.64
Emilie Dufresne, H. Harrington, D. Raman
The use of mathematical models in the sciences often requires the estimation of unknown parameter values from data. Sloppiness provides information about the uncertainty of this task. In this paper, we develop a precise mathematical foundation for sloppiness and define rigorously its key concepts, such as `model manifold', in relation to concepts of structural identifiability. We redefine sloppiness conceptually as a comparison between the premetric on parameter space induced by measurement noise  and a reference metric. This opens up the possibility of alternative quantification of sloppiness, beyond the standard use of the Fisher Information Matrix, which assumes that parameter space is equipped with the usual Euclidean and the measurement error is infinitesimal. Applications include parametric statistical models, explicit time dependent models, and ordinary differential equation models.
在科学中使用数学模型常常需要从数据中估计未知的参数值。马虎度提供了关于该任务的不确定性的信息。在本文中,我们开发了一个精确的数学基础马虎和严格定义其关键概念,如“模型流形”,在结构可识别的概念。我们在概念上重新定义马虎度,将其定义为由测量噪声引起的参数空间上的预度量与参考度量之间的比较。这为马虎度的替代量化提供了可能性,超出了Fisher信息矩阵的标准使用,Fisher信息矩阵假设参数空间配备了通常的欧几里得矩阵并且测量误差是无穷小的。应用包括参数统计模型、显式时间依赖模型和常微分方程模型。
{"title":"The geometry of Sloppiness","authors":"Emilie Dufresne, H. Harrington, D. Raman","doi":"10.18409/JAS.V9I1.64","DOIUrl":"https://doi.org/10.18409/JAS.V9I1.64","url":null,"abstract":"The use of mathematical models in the sciences often requires the estimation of unknown parameter values from data. Sloppiness provides information about the uncertainty of this task. In this paper, we develop a precise mathematical foundation for sloppiness and define rigorously its key concepts, such as `model manifold', in relation to concepts of structural identifiability. We redefine sloppiness conceptually as a comparison between the premetric on parameter space induced by measurement noise  and a reference metric. This opens up the possibility of alternative quantification of sloppiness, beyond the standard use of the Fisher Information Matrix, which assumes that parameter space is equipped with the usual Euclidean and the measurement error is infinitesimal. Applications include parametric statistical models, explicit time dependent models, and ordinary differential equation models.","PeriodicalId":41066,"journal":{"name":"Journal of Algebraic Statistics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2016-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68236751","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 10
Mode Poset Probability Polytopes 模式偏置概率多面体
Pub Date : 2015-02-27 DOI: 10.18409/JAS.V7I1.41
Guido Montúfar, Johannes Rauh
A mode of a probability distribution is an elementary event that has more probability mass than each of its direct neighbors, with respect to some vicinity structure on the set of elementary events. The mode inequalities cut out a polytope from the simplex of probability distributions. Related to this is the concept of strong modes. A strong mode of a probability distribution is an elementary event that has more probability mass than all its direct neighbors together. The set of probability distributions with a given set of strong modes is again a polytope. We study the vertices, the facets, and the volume of such polytopes depending on the sets of (strong) modes and the vicinity structures.
概率分布的模态是一个基本事件,相对于基本事件集合上的某个邻近结构,它比它的每一个直接邻居具有更大的概率质量。模态不等式从概率分布的单纯形中切出一个多面体。与此相关的是强模态的概念。一个概率分布的强模态是一个基本事件,它的概率质量比它所有的直接邻居加在一起还要大。给定一组强模态的概率分布的集合也是一个多面体。我们研究了这种多面体的顶点、面和体积,这些多面体取决于(强)模态集和邻近结构。
{"title":"Mode Poset Probability Polytopes","authors":"Guido Montúfar, Johannes Rauh","doi":"10.18409/JAS.V7I1.41","DOIUrl":"https://doi.org/10.18409/JAS.V7I1.41","url":null,"abstract":"A mode of a probability distribution is an elementary event that has more probability mass than each of its direct neighbors, with respect to some vicinity structure on the set of elementary events. The mode inequalities cut out a polytope from the simplex of probability distributions. Related to this is the concept of strong modes. A strong mode of a probability distribution is an elementary event that has more probability mass than all its direct neighbors together. The set of probability distributions with a given set of strong modes is again a polytope. We study the vertices, the facets, and the volume of such polytopes depending on the sets of (strong) modes and the vicinity structures.","PeriodicalId":41066,"journal":{"name":"Journal of Algebraic Statistics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2015-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68237106","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Position and Orientation Distributions for Non-Reversal Random Walks using Space-Group Fourier Transforms. 使用空间群傅里叶变换的非反转随机漫步的位置和方向分布。
Pub Date : 2010-01-01 DOI: 10.18409/jas.v1i1.6
Aris Skliros, Wooram Park, Gregory S Chirikjian

This paper presents an efficient group-theoretic approach for computing the statistics of non-reversal random walks (NRRW) on lattices. These framed walks evolve on proper crystallographic space groups. In a previous paper we introduced a convolution method for computing the statistics of NRRWs in which the convolution product is defined relative to the space-group operation. Here we use the corresponding concept of the fast Fourier transform for functions on crystallographic space groups together with a non-Abelian version of the convolution theorem. We develop the theory behind this technique and present numerical results for two-dimensional and three-dimensional lattices (square, cubic and diamond). In order to verify our results, the statistics of the end-to-end distance and the probability of ring closure are calculated and compared with results obtained in the literature for the random walks for which closed-form expressions exist.

本文提出了一种计算格上非反转随机漫步统计量的有效群论方法。这些框架行走在适当的晶体学空间群上演化。在之前的一篇论文中,我们介绍了一种计算NRRWs统计量的卷积方法,其中卷积积是相对于空间群运算定义的。在这里,我们使用了晶体空间群上函数的快速傅里叶变换的相应概念以及卷积定理的非阿贝尔版本。我们发展了这种技术背后的理论,并给出了二维和三维晶格(方形、立方和菱形)的数值结果。为了验证我们的结果,计算了端到端距离和环闭合概率的统计量,并与文献中存在封闭形式表达式的随机漫步结果进行了比较。
{"title":"Position and Orientation Distributions for Non-Reversal Random Walks using Space-Group Fourier Transforms.","authors":"Aris Skliros,&nbsp;Wooram Park,&nbsp;Gregory S Chirikjian","doi":"10.18409/jas.v1i1.6","DOIUrl":"https://doi.org/10.18409/jas.v1i1.6","url":null,"abstract":"<p><p>This paper presents an efficient group-theoretic approach for computing the statistics of non-reversal random walks (NRRW) on lattices. These framed walks evolve on proper crystallographic space groups. In a previous paper we introduced a convolution method for computing the statistics of NRRWs in which the convolution product is defined relative to the space-group operation. Here we use the corresponding concept of the fast Fourier transform for functions on crystallographic space groups together with a non-Abelian version of the convolution theorem. We develop the theory behind this technique and present numerical results for two-dimensional and three-dimensional lattices (square, cubic and diamond). In order to verify our results, the statistics of the end-to-end distance and the probability of ring closure are calculated and compared with results obtained in the literature for the random walks for which closed-form expressions exist.</p>","PeriodicalId":41066,"journal":{"name":"Journal of Algebraic Statistics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2010-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2965612/pdf/nihms-224203.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"29435269","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
期刊
Journal of Algebraic Statistics
全部 Acc. Chem. Res. ACS Applied Bio Materials ACS Appl. Electron. Mater. ACS Appl. Energy Mater. ACS Appl. Mater. Interfaces ACS Appl. Nano Mater. ACS Appl. Polym. Mater. ACS BIOMATER-SCI ENG ACS Catal. ACS Cent. Sci. ACS Chem. Biol. ACS Chemical Health & Safety ACS Chem. Neurosci. ACS Comb. Sci. ACS Earth Space Chem. ACS Energy Lett. ACS Infect. Dis. ACS Macro Lett. ACS Mater. Lett. ACS Med. Chem. Lett. ACS Nano ACS Omega ACS Photonics ACS Sens. ACS Sustainable Chem. Eng. ACS Synth. Biol. Anal. Chem. BIOCHEMISTRY-US Bioconjugate Chem. BIOMACROMOLECULES Chem. Res. Toxicol. Chem. Rev. Chem. Mater. CRYST GROWTH DES ENERG FUEL Environ. Sci. Technol. Environ. Sci. Technol. Lett. Eur. J. Inorg. Chem. IND ENG CHEM RES Inorg. Chem. J. Agric. Food. Chem. J. Chem. Eng. Data J. Chem. Educ. J. Chem. Inf. Model. J. Chem. Theory Comput. J. Med. Chem. J. Nat. Prod. J PROTEOME RES J. Am. Chem. Soc. LANGMUIR MACROMOLECULES Mol. Pharmaceutics Nano Lett. Org. Lett. ORG PROCESS RES DEV ORGANOMETALLICS J. Org. Chem. J. Phys. Chem. J. Phys. Chem. A J. Phys. Chem. B J. Phys. Chem. C J. Phys. Chem. Lett. Analyst Anal. Methods Biomater. Sci. Catal. Sci. Technol. Chem. Commun. Chem. Soc. Rev. CHEM EDUC RES PRACT CRYSTENGCOMM Dalton Trans. Energy Environ. Sci. ENVIRON SCI-NANO ENVIRON SCI-PROC IMP ENVIRON SCI-WAT RES Faraday Discuss. Food Funct. Green Chem. Inorg. Chem. Front. Integr. Biol. J. Anal. At. Spectrom. J. Mater. Chem. A J. Mater. Chem. B J. Mater. Chem. C Lab Chip Mater. Chem. Front. Mater. Horiz. MEDCHEMCOMM Metallomics Mol. Biosyst. Mol. Syst. Des. Eng. Nanoscale Nanoscale Horiz. Nat. Prod. Rep. New J. Chem. Org. Biomol. Chem. Org. Chem. Front. PHOTOCH PHOTOBIO SCI PCCP Polym. Chem.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1