IF 4.9 2区数学

Bayesian Analysis Pub Date : 2025-06-01 Epub Date: 2023-11-23 DOI: 10.1214/23-ba1407

Chiyu Gu, Veerabhadran Baladandayuthapani, Subharup Guha

{"title":"Nonparametric Bayes Differential Analysis of Multigroup DNA Methylation Data.","authors":"Chiyu Gu, Veerabhadran Baladandayuthapani, Subharup Guha","doi":"10.1214/23-ba1407","DOIUrl":"10.1214/23-ba1407","url":null,"abstract":"<p><p>DNA methylation datasets in cancer studies are comprised of measurements on a large number of genomic locations called cytosine-phosphate-guanine (CpG) sites with complex correlation structures. A fundamental goal of these studies is the development of statistical techniques that can identify disease genomic signatures across multiple patient groups defined by different experimental or biological conditions. We propose <i>BayesDiff</i>, a nonparametric Bayesian approach for differential analysis relying on a novel class of first order mixture models called the Sticky Pitman-Yor process or two-restaurant two-cuisine franchise (2R2CF). The BayesDiff methodology flexibly utilizes information from all CpG sites or biomarker probes, adaptively accommodates any serial dependence due to the widely varying inter-probe distances, and makes posterior inferences about the differential genomic signature of patient groups. Using simulation studies, we demonstrate the effectiveness of the BayesDiff procedure relative to existing statistical techniques for differential DNA methylation. The methodology is applied to analyze a gastrointestinal (GI) cancer dataset exhibiting serial correlation and complex interaction patterns. The results support and complement known aspects of DNA methylation and gene association in upper GI cancers.</p>","PeriodicalId":55398,"journal":{"name":"Bayesian Analysis","volume":"20 2","pages":"489-518"},"PeriodicalIF":4.9,"publicationDate":"2025-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12094113/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144129658","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

Maximal -subsets of manifolds 流形的极大子集

IF 0.8 3区数学

Mathematika Pub Date : 2025-05-28 DOI: 10.1112/mtk.70026

Ciprian Demeter, Hongki Jung, Donggeun Ryou

引用次数: 0

Some interlacing sequences related to the Eulerian and derangement polynomials 一些与欧拉多项式和排列多项式有关的交错序列

IF 0.7 3区数学

Discrete Mathematics Pub Date : 2025-05-28 DOI: 10.1016/j.disc.2025.114598

Xue Yan, Lily Li Liu

引用次数: 0

Dual auxiliary systems-based turn-on/off trigger fault-tolerant control for input-constrained satellite 基于双辅助系统的输入受限卫星开/关触发容错控制

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-05-28 DOI: 10.1016/j.amc.2025.129548

Baomin Li, Mou Chen, Min Wan

{"title":"Dual auxiliary systems-based turn-on/off trigger fault-tolerant control for input-constrained satellite","authors":"Baomin Li, Mou Chen, Min Wan","doi":"10.1016/j.amc.2025.129548","DOIUrl":"10.1016/j.amc.2025.129548","url":null,"abstract":"<div><div>In this paper, a dual auxiliary systems-based fault-tolerant attitude turn-on/off trigger control problem is studied for the satellite. To address the flexible performance tracking control problem under any initial condition, a new prescribed performance function is designed. Furthermore, to improve the accuracy of satellite attitude tracking errors under the saturation and fault, a novel monitor auxiliary system is proposed, which is excited by tracking error. Subsequently, a new turn-on/off trigger strategy is designed, which has the ability to automatically adjust the communication frequency from the controller to the actuator according to the system performance. In other words, the communication frequency increases from the controller to the actuator when the tracking error is close to the prescribed performance function, and the communication from the controller to the actuator will become real-time when the tracking error violates the prescribed performance function. Then, it is theoretically proven that the closed-loop satellite attitude control system is stable. Finally, the simulation example is given to prove the effectiveness of the designed control scheme.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"506 ","pages":"Article 129548"},"PeriodicalIF":3.5,"publicationDate":"2025-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144147709","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

Computation of Miura surfaces with gradient Dirichlet boundary conditions 梯度Dirichlet边界条件下Miura曲面的计算

IF 2.1 2区数学

IMA Journal of Numerical Analysis Pub Date : 2025-05-28 DOI: 10.1093/imanum/draf033

Frédéric Marazzato

引用次数: 0

Frame-valued assembly and its applications 框值装配及其应用

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2025-05-28 DOI: 10.1016/j.fss.2025.109472

Mengying Liu, Yueli Yue

{"title":"Frame-valued assembly and its applications","authors":"Mengying Liu, Yueli Yue","doi":"10.1016/j.fss.2025.109472","DOIUrl":"10.1016/j.fss.2025.109472","url":null,"abstract":"<div><div>The aim of this paper is to use fuzzy domain theory to study some cartesian closed categories containing the category of stratified <em>L</em>-topological spaces when the truth value table <em>L</em> is a frame. Firstly, we introduce the concept of <em>L</em>-fuzzy assemblies and prove that <em>L</em>-<strong>FAssm</strong>—the category of <em>L</em>-fuzzy assemblies—is cartesian closed. <em>L</em>-<strong>FAssm</strong> contains the category of stratified <em>L</em>-topological spaces as a full and faithful subcategory. Secondly, by equipping a stratified <span><math><msub><mrow><mi>T</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span>-<em>L</em>-topological space with an equivalence relation, we introduce the concept of <em>L</em>-equilogical spaces and show that <em>L</em>-<strong>Equ</strong>—the category of <em>L</em>-equilogical spaces—is also cartesian closed. Then we give two categories which are equivalent to <em>L</em>-<strong>Equ</strong>. Finally, we show that there is a pair of adjoint functors between the category of <em>L</em>-fuzzy assemblies and the category of <em>L</em>-generalized convergence spaces. Further, we construct two subcategories of <em>L</em>-fuzzy assemblies satisfying certain conditions, which are equivalent to the category of <em>L</em>-Kent convergence spaces and the category of <em>L</em>-limit spaces, respectively.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"517 ","pages":"Article 109472"},"PeriodicalIF":3.2,"publicationDate":"2025-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144146334","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

Evolution of cooperation in spatial public goods games with migration and interactive diversity 迁移与互动多样性下的空间公共物品博弈合作演化

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-05-28 DOI: 10.1016/j.amc.2025.129544

Zehua Si , Takayuki Ito , Hsuan-Wei Lee

{"title":"Evolution of cooperation in spatial public goods games with migration and interactive diversity","authors":"Zehua Si , Takayuki Ito , Hsuan-Wei Lee","doi":"10.1016/j.amc.2025.129544","DOIUrl":"10.1016/j.amc.2025.129544","url":null,"abstract":"<div><div>Evolutionary games on networks often assume that individuals do not move and adopt a uniform strategy toward all neighbors. In reality, however, individuals can migrate to seek more favorable conditions and may act differently depending on whom they interact with. Here, we fill this gap by extending the spatial public goods game on a two-dimensional lattice to include both migration and node-dynamics-based interactive diversity. Through systematic Monte-Carlo simulations, we demonstrate a clear division of labor: at low to moderate densities, mobility carves “escape corridors” that protect cooperators, whereas at high densities, interactive diversity spawns “imperfect” cooperative clusters able to endure strong social dilemmas. Most importantly, the combination of these two mechanisms substantially lowers the threshold for cooperation, enabling the system to sustain cooperation even under low-density and strong-dilemma conditions where previous models predict the collapse of cooperation. This complementary effect shows that migration seeds clusters while partner-specific reciprocity stabilizes them, creating a robust path to cooperation that neither mechanism can achieve alone. The result suggests a practical design rule: encourage limited mobility in sparse populations and foster interactive diversity in crowded ones to maximize prosocial behavior in complex adaptive systems.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"506 ","pages":"Article 129544"},"PeriodicalIF":3.5,"publicationDate":"2025-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144147710","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

Valuation of R&D projects of new energy vehicles based on generalized mixed sub-fractional Brownian motion under fuzzy environment 模糊环境下基于广义混合次分数布朗运动的新能源汽车研发项目评价

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-05-28 DOI: 10.1016/j.amc.2025.129559

Weiting Zhang , Guitian He , Maokang Luo , Wenjie Liang

{"title":"Valuation of R&D projects of new energy vehicles based on generalized mixed sub-fractional Brownian motion under fuzzy environment","authors":"Weiting Zhang , Guitian He , Maokang Luo , Wenjie Liang","doi":"10.1016/j.amc.2025.129559","DOIUrl":"10.1016/j.amc.2025.129559","url":null,"abstract":"<div><div>The industry and investors are closely monitoring the valuation of research and development (R&D) projects related to new energy vehicles (NEVs) as their technology advances rapidly. However, standard techniques of valuation often fail to describe the full value of R&D initiatives in an uncertain market environment, due to the significant technical hazards and uncertain results associated with these projects. To address this issue, this study creatively introduces a generalized mixed sub-fractional Brownian motion (GMSFBM) based valuation method for compound real options in the NEV R&D projects. In order to more accurately characterize the technical and financial risks at every stage of the R&D process, this paper combines stochastic processes with compound real option theory. Significantly, to derive the assessment model for NEV R&D projects, a fuzzy partial differential equation (FPDE) of the five-fold compound real option model is constructed using Itô's lemma. Moreover, asymmetric trapezoidal fuzzy parameters are also introduced by the valuation model to characterize the uncertainty of the NEV R&D projects. Finally, numerical experiments are conducted to validate the effectiveness and practicality of the GMSFBM model in the appraisement of the NEV R&D projects, providing new quantitative analysis tools and methods for project decision-making.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"507 ","pages":"Article 129559"},"PeriodicalIF":3.5,"publicationDate":"2025-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144147258","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

Hopf bifurcation of three-dimensional systems with parameters 三维参数系统的Hopf分岔

IF 2.4 2区数学

Journal of Differential Equations Pub Date : 2025-05-28 DOI: 10.1016/j.jde.2025.113463

Ai Ke , Maoan Han

引用次数: 0

Analyticity and Stable Computation of Dirichlet–Neumann Operators for Laplace's Equation Under Quasiperiodic Boundary Conditions in Two and Three Dimensions 二维和三维拟周期边界条件下拉普拉斯方程Dirichlet-Neumann算子的解析性和稳定计算

IF 2.6 2区数学

Studies in Applied Mathematics Pub Date : 2025-05-28 DOI: 10.1111/sapm.70059

David P. Nicholls, Jon Wilkening, Xinyu Zhao

{"title":"Analyticity and Stable Computation of Dirichlet–Neumann Operators for Laplace's Equation Under Quasiperiodic Boundary Conditions in Two and Three Dimensions","authors":"David P. Nicholls, Jon Wilkening, Xinyu Zhao","doi":"10.1111/sapm.70059","DOIUrl":"https://doi.org/10.1111/sapm.70059","url":null,"abstract":"<p>Dirichlet–Neumann operators (DNOs) are important to the formulation, analysis, and simulation of many crucial models found in engineering and the sciences. For instance, these operators permit moving-boundary problems, such as the classical water wave problem (free-surface ideal fluid flow under the influence of gravity and capillarity), to be restated in terms of interfacial quantities, which not only eliminates the boundary tracking problem, but also reduces the problem's dimension. While these DNOs have been the object of much recent study regarding their numerical simulation and rigorous analysis, they have yet to be examined in the setting of laterally quasiperiodic boundary conditions. The purpose of this contribution is to begin this investigation with a particular focus on the more realistic simulation of two- and three-dimensional free-surface water waves. Here, we not only carefully define the DNO with respect to these boundary conditions for Laplace's equation, but we also show the rigorous analyticity of these operators with respect to sufficiently smooth boundary perturbations. These theoretical developments suggest a novel algorithm for the stable and high-order simulation of the DNO, which we implement and extensively test.</p>","PeriodicalId":51174,"journal":{"name":"Studies in Applied Mathematics","volume":"154 5","pages":""},"PeriodicalIF":2.6,"publicationDate":"2025-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1111/sapm.70059","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144148446","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

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