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The free boundary problem for measuring credit rating migration risks 衡量信用评级迁移风险的自由边界问题
Scientia Sinica Mathematica Pub Date : 2023-06-01 DOI: 10.1360/ssm-2022-0151
Chen Xinfu, Hu Bei, Liang Jin, Yin Hongming
{"title":"The free boundary problem for measuring credit rating migration risks","authors":"Chen Xinfu, Hu Bei, Liang Jin, Yin Hongming","doi":"10.1360/ssm-2022-0151","DOIUrl":"https://doi.org/10.1360/ssm-2022-0151","url":null,"abstract":"","PeriodicalId":36277,"journal":{"name":"Scientia Sinica Mathematica","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43575737","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: 1
几何变分问题近期发展 Recent developments in geometric variational problems
Scientia Sinica Mathematica Pub Date : 2023-06-01 DOI: 10.1360/ssm-2023-0077
Tong Wang, Xin Zhou
{"title":"几何变分问题近期发展","authors":"Tong Wang, Xin Zhou","doi":"10.1360/ssm-2023-0077","DOIUrl":"https://doi.org/10.1360/ssm-2023-0077","url":null,"abstract":"","PeriodicalId":36277,"journal":{"name":"Scientia Sinica Mathematica","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48765259","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: 0
基于预测向心加速的生成对抗网络训练 基于预测向心加速的生成对抗网络训练
Scientia Sinica Mathematica Pub Date : 2023-06-01 DOI: 10.1360/ssm-2022-0237
Xinmin Yang, Keke Li, Ke Zhang
{"title":"基于预测向心加速的生成对抗网络训练","authors":"Xinmin Yang, Keke Li, Ke Zhang","doi":"10.1360/ssm-2022-0237","DOIUrl":"https://doi.org/10.1360/ssm-2022-0237","url":null,"abstract":"","PeriodicalId":36277,"journal":{"name":"Scientia Sinica Mathematica","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48885622","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: 0
Rank-bmRpositive Hermitian approximation algorithms and positive Hermitian decompositions of Hermitian tensors 秩- bmrm正厄米逼近算法和厄米张量的正厄米分解
Scientia Sinica Mathematica Pub Date : 2023-05-01 DOI: 10.1360/scm-2022-0045
Yang Bo, Li Ying, Ni Guyan, Mengshi Zhang
{"title":"Rank-bmRpositive Hermitian approximation algorithms and positive Hermitian decompositions of Hermitian tensors","authors":"Yang Bo, Li Ying, Ni Guyan, Mengshi Zhang","doi":"10.1360/scm-2022-0045","DOIUrl":"https://doi.org/10.1360/scm-2022-0045","url":null,"abstract":"","PeriodicalId":36277,"journal":{"name":"Scientia Sinica Mathematica","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44610767","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: 0
旋转浅水方程组的多尺度渐近极限 旋转浅水方程组的多尺度渐近极限
Scientia Sinica Mathematica Pub Date : 2023-05-01 DOI: 10.1360/ssm-2023-0076
Q. Ju, Jiawei Wang, Xin Xu
{"title":"旋转浅水方程组的多尺度渐近极限","authors":"Q. Ju, Jiawei Wang, Xin Xu","doi":"10.1360/ssm-2023-0076","DOIUrl":"https://doi.org/10.1360/ssm-2023-0076","url":null,"abstract":"","PeriodicalId":36277,"journal":{"name":"Scientia Sinica Mathematica","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42272006","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: 1
Convergence rates of a discrete feedback control arising in mean-field linear quadraticoptimal control problems 平均场线性二次最优控制问题中离散反馈控制的收敛速率
Scientia Sinica Mathematica Pub Date : 2023-05-01 DOI: 10.1360/scm-2021-0663
Yanqing Wang
{"title":"Convergence rates of a discrete feedback control arising in mean-field linear quadraticoptimal control problems","authors":"Yanqing Wang","doi":"10.1360/scm-2021-0663","DOIUrl":"https://doi.org/10.1360/scm-2021-0663","url":null,"abstract":"In this work, we propose a feedback control based temporal discretization for linear quadratic optimal control problems (LQ problems) governed by controlled mean-field stochastic differential equations. We firstly decompose the original problem into two problems: a stochastic LQ problem and a deterministic one. Secondly, we discretize both LQ problems one after another relying on Riccati equations and control's feedback representations. Then, we prove the convergence rates for the proposed discretization and present an effective algorithm. Finally, a numerical example is provided to support the theoretical finding.","PeriodicalId":36277,"journal":{"name":"Scientia Sinica Mathematica","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44354696","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: 0
On nullity and fullness of measures of noncompactness 关于非紧测度的虚和满
Scientia Sinica Mathematica Pub Date : 2023-05-01 DOI: 10.1360/ssm-2022-0137
C. Xiaoling, Cheng Lixin, He Wuyi
{"title":"On nullity and fullness of measures of noncompactness","authors":"C. Xiaoling, Cheng Lixin, He Wuyi","doi":"10.1360/ssm-2022-0137","DOIUrl":"https://doi.org/10.1360/ssm-2022-0137","url":null,"abstract":"","PeriodicalId":36277,"journal":{"name":"Scientia Sinica Mathematica","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42416996","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: 0
量子信道的熵不确定性原理和强次可加性 量子信道的熵不确定性原理和强次可加性
Scientia Sinica Mathematica Pub Date : 2023-05-01 DOI: 10.1360/ssm-2022-0244
L. Gao, Marius Junge, Nicholas Laracuente
{"title":"量子信道的熵不确定性原理和强次可加性","authors":"L. Gao, Marius Junge, Nicholas Laracuente","doi":"10.1360/ssm-2022-0244","DOIUrl":"https://doi.org/10.1360/ssm-2022-0244","url":null,"abstract":"","PeriodicalId":36277,"journal":{"name":"Scientia Sinica Mathematica","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45554605","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: 0
基于自回归模型下的社交网络依赖性检验 Social Network Dependency Testing Based on Autoregressive Model
Scientia Sinica Mathematica Pub Date : 2023-05-01 DOI: 10.1360/ssm-2022-0201
B. Jin, Wenyin Li, Xueqin Wang
{"title":"基于自回归模型下的社交网络依赖性检验","authors":"B. Jin, Wenyin Li, Xueqin Wang","doi":"10.1360/ssm-2022-0201","DOIUrl":"https://doi.org/10.1360/ssm-2022-0201","url":null,"abstract":"","PeriodicalId":36277,"journal":{"name":"Scientia Sinica Mathematica","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46786487","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: 0
高维空间相依数据的Expectile回归分析 Expectile regression analysis of high-dimensional spatially dependent data
Scientia Sinica Mathematica Pub Date : 2023-05-01 DOI: 10.1360/ssm-2023-0031
Xuanye Liu, Haiqiang Ma, Zhi-Min Sheng, Liangqing Luo
{"title":"高维空间相依数据的Expectile回归分析","authors":"Xuanye Liu, Haiqiang Ma, Zhi-Min Sheng, Liangqing Luo","doi":"10.1360/ssm-2023-0031","DOIUrl":"https://doi.org/10.1360/ssm-2023-0031","url":null,"abstract":"","PeriodicalId":36277,"journal":{"name":"Scientia Sinica Mathematica","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43048133","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: 0
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