发布求助
文献互助 智能选刊 最新文献

数学最新文献

筛选
英文 中文
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
Global Controllability of Boussinesq Flows by Using Only a Temperature Control 仅使用温度控制的Boussinesq流的全局可控性
IF 2.4 1区 数学
Archive for Rational Mechanics and Analysis Pub Date : 2025-09-06 DOI: 10.1007/s00205-025-02128-6
Vahagn Nersesyan, Manuel Rissel
{"title":"Global Controllability of Boussinesq Flows by Using Only a Temperature Control","authors":"Vahagn Nersesyan,&nbsp;Manuel Rissel","doi":"10.1007/s00205-025-02128-6","DOIUrl":"10.1007/s00205-025-02128-6","url":null,"abstract":"<div><p>We show that buoyancy driven flows can be steered in an arbitrary time towards any state by applying as control only an external temperature profile in a subset of small area. More specifically, we prove that the 2D incompressible Boussinesq system on the torus is globally approximately controllable via physically localized heating or cooling. In addition, our controls have an explicitly prescribed structure; even without such structural requirements, large data controllability results for Boussinesq flows driven merely by a physically localized temperature profile were so far unknown. The presented method exploits various connections between the model’s underlying transport-, coupling-, and scaling mechanisms.</p></div>","PeriodicalId":55484,"journal":{"name":"Archive for Rational Mechanics and Analysis","volume":"249 5","pages":""},"PeriodicalIF":2.4,"publicationDate":"2025-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144998479","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
On a natural (L^2) metric on the space of Hermitian metrics 在自然度规(L^2)上在厄米度规的空间上
IF 0.7 3区 数学
Annals of Global Analysis and Geometry Pub Date : 2025-09-06 DOI: 10.1007/s10455-025-10017-0
Jinwei Gao
{"title":"On a natural (L^2) metric on the space of Hermitian metrics","authors":"Jinwei Gao","doi":"10.1007/s10455-025-10017-0","DOIUrl":"10.1007/s10455-025-10017-0","url":null,"abstract":"<div><p>We investigate the space of Hermitian metrics on a fixed complex vector bundle. This infinite-dimensional space has appeared in the study of Hermitian-Einstein structures, where a special <span>(L^2)</span>-type Riemannian metric is introduced. We compute the metric spray, geodesics and curvature associated to this metric, and show that the exponential map is a diffeomorphism. Though being geodesically complete, the space of Hermitian metrics is metrically incomplete, and its metric completion is proved to be the space of “<span>(L^2)</span> integrable” singular Hermitian metrics. In addition, both the original space and its completion are CAT(0). In the holomorphic case, it turns out that Griffiths seminegative/semipositive singular Hermitian metric is always <span>(L^2)</span> integrable in our sense. Also, in the Appendix, the Nash-Moser inverse function theorem is utilized to prove that, for any <span>(L^2)</span> metric on the space of smooth sections of a given fiber bundle, the exponential map is always a local diffeomorphism, provided that each fiber is nonpositively curved.</p></div>","PeriodicalId":8268,"journal":{"name":"Annals of Global Analysis and Geometry","volume":"68 3","pages":""},"PeriodicalIF":0.7,"publicationDate":"2025-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144998581","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
An ODE characterization of multi-marginal optimal transport with pairwise cost functions 具有成对代价函数的多边际最优运输的ODE表征
IF 2.1 2区 数学
IMA Journal of Numerical Analysis Pub Date : 2025-09-06 DOI: 10.1093/imanum/draf067
Luca Nenna, Brendan Pass
{"title":"An ODE characterization of multi-marginal optimal transport with pairwise cost functions","authors":"Luca Nenna, Brendan Pass","doi":"10.1093/imanum/draf067","DOIUrl":"https://doi.org/10.1093/imanum/draf067","url":null,"abstract":"The purpose of this paper is to introduce a new numerical method to solve multi-marginal optimal transport problems with pairwise interaction costs. The complexity of multi-marginal optimal transport generally scales exponentially in the number of marginals $m$. We introduce a one-parameter family of cost functions that interpolates between the original and a special cost function for which the problem’s complexity scales linearly in $m$. We then show that the solution to the original problem can be recovered by solving an ordinary differential equation in the parameter $varepsilon $, whose initial condition corresponds to the solution for the special cost function mentioned above; we then present some simulations, using both explicit Euler and explicit higher order Runge–Kutta schemes to compute solutions to the ordinary differential equation, and, as a result, the multi-marginal optimal transport problem.","PeriodicalId":56295,"journal":{"name":"IMA Journal of Numerical Analysis","volume":"64 1","pages":""},"PeriodicalIF":2.1,"publicationDate":"2025-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145003090","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
Vanishing viscosity limit of compressible non-resistive magnetohydrodynamic equations with the no-slip boundary condition 无滑移边界条件下可压缩无阻力磁流体动力学方程的消失黏度极限
IF 2.3 2区 数学
Journal of Differential Equations Pub Date : 2025-09-05 DOI: 10.1016/j.jde.2025.113749
Qiangchang Ju , Jiawei Wang , Feng Xie
{"title":"Vanishing viscosity limit of compressible non-resistive magnetohydrodynamic equations with the no-slip boundary condition","authors":"Qiangchang Ju ,&nbsp;Jiawei Wang ,&nbsp;Feng Xie","doi":"10.1016/j.jde.2025.113749","DOIUrl":"10.1016/j.jde.2025.113749","url":null,"abstract":"<div><div>In this paper, we consider the vanishing viscosity limit of the three dimensional compressible non-resistive magnetohydrodynamic equations with the no-slip boundary condition in the half-space. Assuming that the initial normal magnetic field is non-degenerate, by identifying a new cancellation structure in the momentum equation, we can use the tangential derivatives of solutions to control the normal derivatives of the magnetic field and pressure. Furthermore, we establish uniform regularity estimates of solutions to the initial-boundary value problem of the compressible non-resistive magnetohydrodynamic equations in conormal Sobolev spaces. Then, based on these uniform regularity estimates and the compactness arguments, the vanishing viscosity limit of solutions to the compressible non-resistive magnetohydrodynamic equations is rigorously verified in <span><math><msup><mrow><mi>L</mi></mrow><mrow><mo>∞</mo></mrow></msup></math></span> sense.</div></div>","PeriodicalId":15623,"journal":{"name":"Journal of Differential Equations","volume":"451 ","pages":"Article 113749"},"PeriodicalIF":2.3,"publicationDate":"2025-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144997556","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
The GFB Tree and Tree Imbalance Indices. GFB树和树木失衡指数。
IF 2.2 4区 数学
Bulletin of Mathematical Biology Pub Date : 2025-09-05 DOI: 10.1007/s11538-025-01522-1
Sean Cleary, Mareike Fischer, Katherine St John
{"title":"The GFB Tree and Tree Imbalance Indices.","authors":"Sean Cleary, Mareike Fischer, Katherine St John","doi":"10.1007/s11538-025-01522-1","DOIUrl":"https://doi.org/10.1007/s11538-025-01522-1","url":null,"abstract":"<p><p>Tree balance plays an important role in various research areas in phylogenetics and computer science. Typically, it is measured with the help of a balance index or imbalance index. There are more than 25 such indices available, recently surveyed in a book by Fischer et al. They are used to rank rooted binary trees on a scale from the most balanced to the least balanced. We show that a wide range of subtree-size based measures satisfying concavity and monotonicity conditions are minimized by the complete or greedy from the bottom (GFB) tree and maximized by the caterpillar tree, yielding an infinitely large family of distinct new imbalance indices. Answering an open question from the literature, we show that one such established measure, the <math><mover><mi>s</mi> <mo>^</mo></mover> </math> -shape statistic, has the GFB tree as its unique minimizer. We also provide an alternative characterization of GFB trees, showing that they are equivalent to complete trees, which arise in different contexts. We give asymptotic bounds on the expected <math><mover><mi>s</mi> <mo>^</mo></mover> </math> -shape statistic under the uniform and Yule-Harding distributions of trees, and answer questions for the related Q-shape statistic as well.</p>","PeriodicalId":9372,"journal":{"name":"Bulletin of Mathematical Biology","volume":"87 10","pages":"145"},"PeriodicalIF":2.2,"publicationDate":"2025-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144999754","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
Issue Information-TOC 问题Information-TOC
IF 2.3 2区 数学
Studies in Applied Mathematics Pub Date : 2025-09-05 DOI: 10.1111/sapm.70111
{"title":"Issue Information-TOC","authors":"","doi":"10.1111/sapm.70111","DOIUrl":"https://doi.org/10.1111/sapm.70111","url":null,"abstract":"","PeriodicalId":51174,"journal":{"name":"Studies in Applied Mathematics","volume":"155 3","pages":""},"PeriodicalIF":2.3,"publicationDate":"2025-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1111/sapm.70111","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144998931","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
Space-Time FEM-BEM Couplings for Parabolic Transmission Problems 抛物传输问题的时空FEM-BEM耦合
IF 2.9 2区 数学
SIAM Journal on Numerical Analysis Pub Date : 2025-09-05 DOI: 10.1137/24m1695646
Thomas Führer, Gregor Gantner, Michael Karkulik
{"title":"Space-Time FEM-BEM Couplings for Parabolic Transmission Problems","authors":"Thomas Führer, Gregor Gantner, Michael Karkulik","doi":"10.1137/24m1695646","DOIUrl":"https://doi.org/10.1137/24m1695646","url":null,"abstract":"SIAM Journal on Numerical Analysis, Volume 63, Issue 5, Page 1909-1932, October 2025. <br/> Abstract. We develop couplings of a recent space-time first-order system least-squares method for parabolic problems and space-time boundary element methods for the heat equation to numerically solve a parabolic transmission problem on the full space and a finite time interval. In particular, we demonstrate coercivity of the couplings under certain restrictions and validate our theoretical findings by numerical experiments.","PeriodicalId":49527,"journal":{"name":"SIAM Journal on Numerical Analysis","volume":"1 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2025-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145003458","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
Affine Deligne–Lusztig varieties via the double Bruhat graph, II : Iwahori–Hecke algebra 通过重Bruhat图的仿射delign - lusztig变分，II: Iwahori-Hecke代数
IF 1.3 1区 数学
Algebra & Number Theory Pub Date : 2025-09-05 DOI: 10.2140/ant.2025.19.2015
Felix Schremmer
{"title":"Affine Deligne–Lusztig varieties via the double Bruhat graph, II : Iwahori–Hecke algebra","authors":"Felix Schremmer","doi":"10.2140/ant.2025.19.2015","DOIUrl":"https://doi.org/10.2140/ant.2025.19.2015","url":null,"abstract":"<p>We introduce a new language to describe the geometry of affine Deligne–Lusztig varieties in affine flag varieties. This second part of a two-paper series uses this new language, i.e., the double Bruhat graph, to describe certain structure constants of the Iwahori–Hecke algebra. As an application, we describe nonemptiness and dimension of affine Deligne–Lusztig varieties for most elements of the affine Weyl group and arbitrary <math display=\"inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>σ</mi></math>-conjugacy classes. </p>","PeriodicalId":50828,"journal":{"name":"Algebra & Number Theory","volume":"111 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145002870","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
下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
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
请完成安全验证×
相关产品
×
本文献相关产品
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 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：604180095
Book学术官方微信