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A Positive Semidefinite Safe Approximation of Multivariate Distributionally Robust Constraints Determined by Simple Functions. 由简单函数确定的多元分布鲁棒约束的正半定安全逼近。
IF 1.5 3区 数学
Journal of Optimization Theory and Applications Pub Date : 2026-01-01 Epub Date: 2025-09-02 DOI: 10.1007/s10957-025-02791-5
Jana Dienstbier, Frauke Liers, Jan Rolfes
{"title":"A Positive Semidefinite Safe Approximation of Multivariate Distributionally Robust Constraints Determined by Simple Functions.","authors":"Jana Dienstbier, Frauke Liers, Jan Rolfes","doi":"10.1007/s10957-025-02791-5","DOIUrl":"https://doi.org/10.1007/s10957-025-02791-5","url":null,"abstract":"<p><p>Single-level reformulations of (nonconvex) distributionally robust optimization (DRO) problems are often intractable, as they contain semi-infinite dual constraints. Based on such a semi-infinite reformulation, we present a safe approximation that allows for the computation of feasible solutions for DROs that depend on nonconvex multivariate simple functions. Moreover, the approximation allows to address ambiguity sets that can incorporate information on moments as well as confidence sets. The typical strong assumptions on the structure of the underlying constraints, such as convexity in the decisions or concavity in the uncertainty found in the literature were, at least in part, recently overcome in [16]. We start from the duality-based reformulation approach in [16] that can be applied for DRO constraints based on simple functions that are univariate in the uncertainty parameters. We significantly extend their approach to multivariate simple functions, which leads to a considerably wider applicability of the proposed reformulation approach. In order to achieve algorithmic tractability, the presented safe approximation is then realized by a discretized counterpart for the semi-infinite dual constraints. The approximation leads to a computationally tractable mixed-integer positive semidefinite problem for which state-of-the-art software implementations are readily available. The tractable safe approximation provides sufficient conditions for distributional robustness of the original problem, i.e., obtained solutions are provably robust.</p>","PeriodicalId":50100,"journal":{"name":"Journal of Optimization Theory and Applications","volume":"208 1","pages":"1"},"PeriodicalIF":1.5,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12405389/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145001823","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Neural Network Integrated Accelerated Failure Time-Based Mixture Cure Model. 基于加速失效时间的神经网络混合固化模型。
IF 1.6 2区 数学
Statistics and Computing Pub Date : 2025-10-01 Epub Date: 2025-06-22 DOI: 10.1007/s11222-025-10674-y
Wisdom Aselisewine, Suvra Pal
{"title":"A Neural Network Integrated Accelerated Failure Time-Based Mixture Cure Model.","authors":"Wisdom Aselisewine, Suvra Pal","doi":"10.1007/s11222-025-10674-y","DOIUrl":"https://doi.org/10.1007/s11222-025-10674-y","url":null,"abstract":"<p><p>The mixture cure rate model (MCM) is commonly used for analyzing survival data with a cured subgroup. While the prevailing approach to modeling the probability of cure involves a generalized linear model using a known parametric link function, such as the logit link function, it has limitations in capturing the complex effects of covariates on cure probability. This paper introduces a novel MCM employing a neural network-based classifier for cure probability and an accelerated failure time structure for the survival distribution of uncured patients. An expectation maximization algorithm is developed for parameter estimation. Simulation results demonstrate the superior performance of the proposed model in capturing non-linear classification boundaries compared to logit-based and spline-based MCMs, as well as other machine learning algorithms. This enhances the accuracy and precision of cured probability estimates, improving predictive accuracy. The proposed model and estimation method are applied to survival data on leukemia cancer patients, showcasing their effectiveness.</p>","PeriodicalId":22058,"journal":{"name":"Statistics and Computing","volume":"35 5","pages":""},"PeriodicalIF":1.6,"publicationDate":"2025-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12369597/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144969648","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Publisher Correction: Small eigenvalues of the Hodge-Laplacian with sectional curvature bounded below 出版者更正：Hodge-Laplacian的小特征值与截面曲率边界如下
IF 0.7 3区 数学
Annals of Global Analysis and Geometry Pub Date : 2025-09-15 DOI: 10.1007/s10455-025-10012-5
Colette Anné, Junya Takahashi
{"title":"Publisher Correction: Small eigenvalues of the Hodge-Laplacian with sectional curvature bounded below","authors":"Colette Anné,&nbsp;Junya Takahashi","doi":"10.1007/s10455-025-10012-5","DOIUrl":"10.1007/s10455-025-10012-5","url":null,"abstract":"","PeriodicalId":8268,"journal":{"name":"Annals of Global Analysis and Geometry","volume":"68 3","pages":""},"PeriodicalIF":0.7,"publicationDate":"2025-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145057547","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Countability conditions in locally solid convergence spaces 局部实收敛空间中的可数条件
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2025-09-15 DOI: 10.1007/s43034-025-00433-5
Eugene Bilokopytov, Viktor Bohdanskyi, Jan Harm van der Walt
{"title":"Countability conditions in locally solid convergence spaces","authors":"Eugene Bilokopytov,&nbsp;Viktor Bohdanskyi,&nbsp;Jan Harm van der Walt","doi":"10.1007/s43034-025-00433-5","DOIUrl":"10.1007/s43034-025-00433-5","url":null,"abstract":"<div><p>We study (strong) first countability of locally solid convergence structures on Archimedean vector lattices. Among other results, we characterise those vector lattices for which relatively uniform-, order-, and <span>(sigma)</span>-order convergence, respectively, is (strongly) first countable. The implications for the validity of sequential arguments in the contexts of these convergence structures are pointed out.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 4","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s43034-025-00433-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145057713","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Cauchy theorems for solutions to polynomial Dirac equations with (alpha )-weight in superspace 超空间中(alpha ) -权的多项式狄拉克方程解的柯西定理
IF 1.2 2区 数学
Advances in Applied Clifford Algebras Pub Date : 2025-09-15 DOI: 10.1007/s00006-025-01408-4
Yonghong Xie, Shuoxing He, Xiaojing Du
{"title":"Cauchy theorems for solutions to polynomial Dirac equations with (alpha )-weight in superspace","authors":"Yonghong Xie,&nbsp;Shuoxing He,&nbsp;Xiaojing Du","doi":"10.1007/s00006-025-01408-4","DOIUrl":"10.1007/s00006-025-01408-4","url":null,"abstract":"<div><p>In this paper, Cauchy theorems for solutions to polynomial Dirac equations with <span>(alpha )</span>-weight in superspace are studied using two methods. First, by constructing a new fundamental solution, the first kind of Cauchy theorem is obtained. Then the connection between polynomial Dirac operators with <span>(alpha )</span>-weight and iterative Dirac operators with <span>(alpha )</span>-weight in superspace is obtained. Finally, using this connection, the second kind of Cauchy theorem is obtained.</p></div>","PeriodicalId":7330,"journal":{"name":"Advances in Applied Clifford Algebras","volume":"35 5","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145057582","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Robust Time-Inconsistent Linear-Quadratic Stochastic Controls: A Stochastic Differential Game Approach 鲁棒时间不一致线性二次随机控制：随机微分对策方法
IF 1.7 2区 数学
Applied Mathematics and Optimization Pub Date : 2025-09-15 DOI: 10.1007/s00245-025-10310-1
Bingyan Han, Chi Seng Pun, Hoi Ying Wong
{"title":"Robust Time-Inconsistent Linear-Quadratic Stochastic Controls: A Stochastic Differential Game Approach","authors":"Bingyan Han,&nbsp;Chi Seng Pun,&nbsp;Hoi Ying Wong","doi":"10.1007/s00245-025-10310-1","DOIUrl":"10.1007/s00245-025-10310-1","url":null,"abstract":"<div><p>This paper studies robust time-inconsistent (TIC) linear-quadratic stochastic control problems, formulated by stochastic differential games. By a spike variation approach, we derive sufficient conditions for achieving the Nash equilibrium, which corresponds to a time-consistent (TC) robust policy, under mild technical assumptions. To illustrate our framework, we consider two scenarios of robust mean-variance analysis, namely with state- and control-dependent ambiguity aversion. We find numerically that with time inconsistency haunting the dynamic optimal controls, the ambiguity aversion enhances the effective risk aversion faster than the linear, implying that the ambiguity in the TIC cases is more impactful than that under the TC counterparts, e.g., expected utility maximization problems.</p></div>","PeriodicalId":55566,"journal":{"name":"Applied Mathematics and Optimization","volume":"92 2","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145057696","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Correlations of the squares of the Riemann zeta function on the critical line 黎曼ζ函数在临界线上的平方的相关性
IF 1.2 2区 数学
Journal of the London Mathematical Society-Second Series Pub Date : 2025-09-14 DOI: 10.1112/jlms.70289
Valeriya Kovaleva
{"title":"Correlations of the squares of the Riemann zeta function on the critical line","authors":"Valeriya Kovaleva","doi":"10.1112/jlms.70289","DOIUrl":"https://doi.org/10.1112/jlms.70289","url":null,"abstract":"<p>We compute the average of a product of two shifted squares of the Riemann zeta function on the critical line with shifts up to size <span></span><math>\u0000 <semantics>\u0000 <msup>\u0000 <mi>T</mi>\u0000 <mrow>\u0000 <mn>3</mn>\u0000 <mo>/</mo>\u0000 <mn>2</mn>\u0000 <mo>−</mo>\u0000 <mi>ε</mi>\u0000 </mrow>\u0000 </msup>\u0000 <annotation>$T^{3/2-varepsilon }$</annotation>\u0000 </semantics></math>. We give an explicit expression for such an average and derive an approximate spectral expansion for the error term similar to Motohashi's. As a consequence, we also compute the (2,2)-moment of moment of the Riemann zeta function, for which we partially verify (and partially refute) a conjecture of Bailey and Keating.</p>","PeriodicalId":49989,"journal":{"name":"Journal of the London Mathematical Society-Second Series","volume":"112 3","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://londmathsoc.onlinelibrary.wiley.com/doi/epdf/10.1112/jlms.70289","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145051242","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Second-order regularity for degenerate p $p$ -Laplace type equations with log-concave weights 具有对数凹权值的退化p$ p$ -拉普拉斯型方程的二阶正则性
IF 1.2 2区 数学
Journal of the London Mathematical Society-Second Series Pub Date : 2025-09-14 DOI: 10.1112/jlms.70299
Carlo Alberto Antonini, Giulio Ciraolo, Francesco Pagliarin
{"title":"Second-order regularity for degenerate \u0000 \u0000 p\u0000 $p$\u0000 -Laplace type equations with log-concave weights","authors":"Carlo Alberto Antonini,&nbsp;Giulio Ciraolo,&nbsp;Francesco Pagliarin","doi":"10.1112/jlms.70299","DOIUrl":"https://doi.org/10.1112/jlms.70299","url":null,"abstract":"<p>We consider weighted <span></span><math>\u0000 <semantics>\u0000 <mi>p</mi>\u0000 <annotation>$p$</annotation>\u0000 </semantics></math>-Laplace type equations with homogeneous Neumann boundary conditions in convex domains, where the weight is a log-concave function which may degenerate at the boundary. In the case of bounded domains, we provide sharp global second-order estimates. For unbounded domains, we prove local estimates at the boundary. The results are new even for the case <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>p</mi>\u0000 <mo>=</mo>\u0000 <mn>2</mn>\u0000 </mrow>\u0000 <annotation>$p=2$</annotation>\u0000 </semantics></math>.</p>","PeriodicalId":49989,"journal":{"name":"Journal of the London Mathematical Society-Second Series","volume":"112 3","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://londmathsoc.onlinelibrary.wiley.com/doi/epdf/10.1112/jlms.70299","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145051243","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Transmutation Operator for the Radial Maxwell System in Inhomogeneous Media 非均匀介质中径向Maxwell系统的嬗变算子
IF 1.2 2区 数学
Advances in Applied Clifford Algebras Pub Date : 2025-09-14 DOI: 10.1007/s00006-025-01410-w
Doan Cong Dinh
{"title":"Transmutation Operator for the Radial Maxwell System in Inhomogeneous Media","authors":"Doan Cong Dinh","doi":"10.1007/s00006-025-01410-w","DOIUrl":"10.1007/s00006-025-01410-w","url":null,"abstract":"<div><p>In this paper, we revisit Kravchenko’s method for analyzing the radial static Maxwell system in a three-dimensional inhomogeneous isotropic medium: </p><div><div><span>$$begin{aligned} left{ begin{array}{ll} operatorname {div}(varepsilon overrightarrow{E}) &amp; = 0, operatorname {curl} overrightarrow{E} &amp; = 0, end{array} right. end{aligned}$$</span></div></div><p>where the coefficient function <span>(varepsilon )</span> is assumed to be a radial analytic function. By introducing a new class of modified normalized systems of functions with respect to the Dirac operator, we construct a transmutation operator that maps vector-valued monogenic functions into solutions of the system.</p></div>","PeriodicalId":7330,"journal":{"name":"Advances in Applied Clifford Algebras","volume":"35 5","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145057583","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Sym-Noetherianity for powers of GL-varieties gl -变种幂的对称- noether性
IF 1.3 1区 数学
Algebra & Number Theory Pub Date : 2025-09-14 DOI: 10.2140/ant.2025.19.2091
Christopher H. Chiu, Alessandro Danelon, Jan Draisma, Rob H. Eggermont, Azhar Farooq
{"title":"Sym-Noetherianity for powers of GL-varieties","authors":"Christopher H. Chiu, Alessandro Danelon, Jan Draisma, Rob H. Eggermont, Azhar Farooq","doi":"10.2140/ant.2025.19.2091","DOIUrl":"https://doi.org/10.2140/ant.2025.19.2091","url":null,"abstract":"<p>Much recent literature concerns finiteness properties of infinite-dimensional algebraic varieties equipped with an action of the infinite symmetric group, or of the infinite general linear group. In this paper, we study a common generalisation in which the product of both groups acts on infinite-dimensional spaces, and we show that these spaces are topologically Noetherian with respect to this action. </p>","PeriodicalId":50828,"journal":{"name":"Algebra & Number Theory","volume":"35 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145059681","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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
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