Random Matrices-Theory and Applications最新文献_第3页

Author index Volume 11 (2022) 作者索引第11卷(2022年)

IF 0.9 4区数学

Random Matrices-Theory and Applications Pub Date : 2022-09-13 DOI: 10.1142/s2010326322990015

引用次数: 0

On the fourth moment of a random determinant 在随机行列式的第四阶矩上

IF 0.9 4区数学

Random Matrices-Theory and Applications Pub Date : 2022-07-19 DOI: 10.1142/s2010326323500107

D. Beck

引用次数: 2

Nonlinear interaction detection through partial dimension reduction with missing response data 基于缺失响应数据的部分降维非线性交互检测

IF 0.9 4区数学

Random Matrices-Theory and Applications Pub Date : 2022-07-08 DOI: 10.1142/s2010326322500514

Hongxia Xu, Guoliang Fan, Jinchang Li

引用次数: 0

Operator level limit of the circular Jacobi β-ensemble 圆形Jacobi β-系综的算子能级极限

IF 0.9 4区数学

Random Matrices-Theory and Applications Pub Date : 2022-05-27 DOI: 10.1142/s2010326322500435

Yun Li, B. Valkó

引用次数: 2

Random matrix theory and moments of moments of L-functions 随机矩阵理论和l函数的矩的矩

IF 0.9 4区数学

Random Matrices-Theory and Applications Pub Date : 2022-05-15 DOI: 10.1142/s2010326323500028

J. Andrade, C. G. Best

引用次数: 1

Erratum: Some patterned matrices with independent entries 勘误:一些有独立条目的模式矩阵

IF 0.9 4区数学

Random Matrices-Theory and Applications Pub Date : 2022-05-13 DOI: 10.1142/s2010326322920010

A. Bose, Koushik Saha, Priyanka Sen

引用次数: 1

Relating random matrix map enumeration to a universal symbol calculus for recurrence operators in terms of Bessel–Appell polynomials 将随机矩阵映射枚举与贝塞尔-阿佩尔多项式递归算子的通用符号演算联系起来

IF 0.9 4区数学

Random Matrices-Theory and Applications Pub Date : 2022-04-29 DOI: 10.1142/s201032632250037x

N. Ercolani, Patrick Waters

{"title":"Relating random matrix map enumeration to a universal symbol calculus for recurrence operators in terms of Bessel–Appell polynomials","authors":"N. Ercolani, Patrick Waters","doi":"10.1142/s201032632250037x","DOIUrl":"https://doi.org/10.1142/s201032632250037x","url":null,"abstract":"Maps are polygonal cellular networks on Riemann surfaces. This paper analyzes the construction of closed form general representations for the enumerative generating functions associated to maps of fixed but arbitrary genus. The method of construction developed here involves a novel asymptotic symbol calculus for difference operators based on the relation between spectral asymptotics for Hermitian random matrices and asymptotics of orthogonal polynomials with exponential weights. These closed form expressions have a universal character in the sense that they are independent of the explicit valence distribution of the cellular networks within a broad class. Nevertheless the valence distributions may be recovered from the closed form generating functions by a remarkable unwinding identity in terms of Appell polynomials generated by Bessel functions. Our treatment reveals the generating functions to be solutions of nonlinear conservation laws and their prolongations. This characterization enables one to gain insights that go beyond more traditional methods that are purely combinatorial. Universality results are connected to stability results for characteristic singularities of conservation laws that were studied by Caflisch, Ercolani, Hou and Landis, Multi-valued solutions and branch point singularities for nonlinear hyperbolic or elliptic systems, Commun. Pure Appl. Math. 46 (1993) 453–499, as well as directly related to universality results for random matrix spectra.","PeriodicalId":54329,"journal":{"name":"Random Matrices-Theory and Applications","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2022-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74889116","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Adaptive singular value shrinkage estimate for low rank tensor denoising 低阶张量去噪的自适应奇异值收缩估计

IF 0.9 4区数学

Random Matrices-Theory and Applications Pub Date : 2022-04-19 DOI: 10.1142/s2010326322500381

Zerui Tao, Zhouping Li

{"title":"Adaptive singular value shrinkage estimate for low rank tensor denoising","authors":"Zerui Tao, Zhouping Li","doi":"10.1142/s2010326322500381","DOIUrl":"https://doi.org/10.1142/s2010326322500381","url":null,"abstract":"Recently, tensors are widely used to represent higher-order data with internal spatial or temporal relations, e.g. images, videos, hyperspectral images (HSIs). While the true signals are usually corrupted by noises, it is of interest to study tensor recovery problems. To this end, many models have been established based on tensor decompositions. Traditional tensor decomposition models, such as the CP and Tucker factorization, treat every mode of tensors equally. However, in many real applications, some modes of the data act differently from the other modes, e.g. channel mode of images, time mode of videos, band mode of HSIs. The recently proposed model called t-SVD aims to tackle such problems. In this paper, we focus on tensor denoising problems. Specifically, in order to obtain low-rank estimators of true signals, we propose to use different shrinkage functions to shrink the tensor singular values based on the t-SVD. We derive Stein’s unbiased risk estimate (SURE) of the proposed model and develop adaptive SURE-based tuning parameter selection procedure, which is totally data-driven and simultaneous with the estimation process. The whole modeling procedure requires only one round of t-SVD. To demonstrate our model, we conduct experiments on simulation data, images, videos and HSIs. The results show that the proposed SURE approximates the true risk function accurately. Moreover, the proposed model selection procedure picks good tuning parameters out. We show the superiority of our model by comparing with state-of-the-art denoising models. The experiments manifest that our model outperforms in both quantitative metrics (e.g. RSE, PSNR) and visualizing results.","PeriodicalId":54329,"journal":{"name":"Random Matrices-Theory and Applications","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2022-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77970709","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A new decomposition for multivalued 3 × 3 matrices 多值3 × 3矩阵的一种新的分解

IF 0.9 4区数学

Random Matrices-Theory and Applications Pub Date : 2022-04-12 DOI: 10.1142/s2010326322500289

A. Ammar, A. Jeribi, B. Saadaoui

引用次数: 0

High–low temperature dualities for the classical β-ensembles 经典β系综的高低温二象性

IF 0.9 4区数学

Random Matrices-Theory and Applications Pub Date : 2022-04-05 DOI: 10.1142/s2010326322500356

P. Forrester

{"title":"High–low temperature dualities for the classical β-ensembles","authors":"P. Forrester","doi":"10.1142/s2010326322500356","DOIUrl":"https://doi.org/10.1142/s2010326322500356","url":null,"abstract":"The loop equations for the [Formula: see text]-ensembles are conventionally solved in terms of a [Formula: see text] expansion. We observe that it is also possible to fix [Formula: see text] and expand in inverse powers of [Formula: see text]. At leading order, for the one-point function [Formula: see text] corresponding to the average of the linear statistic [Formula: see text] and after specialising to the classical weights, this reclaims well known results of Stieltjes relating the zeros of the classical polynomials to the minimum energy configuration of certain log–gas potential energies. Moreover, it is observed that the differential equations satisfied by [Formula: see text] in the case of classical weights — which are particular Riccati equations — are simply related to the differential equations satisfied by [Formula: see text] in the high temperature scaled limit [Formula: see text] ([Formula: see text] fixed, [Formula: see text]), implying a certain high–low temperature duality. A generalisation of this duality, valid without any limiting procedure, is shown to hold for [Formula: see text] and all its higher point analogues in the classical [Formula: see text]-ensembles.","PeriodicalId":54329,"journal":{"name":"Random Matrices-Theory and Applications","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2022-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85799654","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 4