Applied Mathematics and Computation最新文献_第2页

Learning influence probabilities in diffusion networks without timestamps 无时间戳扩散网络影响概率的学习

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-05-07 DOI: 10.1016/j.amc.2025.129502

Yuchen Wang , Huidi Wang , Chao Gao , Kefeng Fan , Hailong Cheng , Zhijie Shen , Zhen Wang , Matjaž Perc

{"title":"Learning influence probabilities in diffusion networks without timestamps","authors":"Yuchen Wang , Huidi Wang , Chao Gao , Kefeng Fan , Hailong Cheng , Zhijie Shen , Zhen Wang , Matjaž Perc","doi":"10.1016/j.amc.2025.129502","DOIUrl":"10.1016/j.amc.2025.129502","url":null,"abstract":"<div><div>Inferring information diffusion networks plays a crucial role in social network analysis and various applications. Existing methods often rely on the infection times of nodes in diffusion processes to uncover influence relationships. However, accurately monitoring real-time temporal information is challenging and resource-intensive. Additionally, some approaches that do not utilize infection timestamps fail to adequately capture the strength of influence relationships among nodes. To address these limitations, we propose a novel method called Learning Influence Probabilities in diffusion Networks without timestamps (LIPN). LIPN introduces an enhanced correlation metric to measure the relationship between node infections, which is utilized in the pre-pruning stage to mitigate the negative impact of redundant candidate edges during the inference process. LIPN constructs a likelihood function for the diffusion process by considering the infection probability between nodes. Furthermore, to enhance the reliability of the inferred results, LIPN incorporates an optimization strategy that combines an expectation maximization algorithm with a variant of the simulated annealing algorithm. The experimental results validate the effectiveness of LIPN in both synthetic networks and real-world networks, highlighting its potential for empowering social network analysis and applications.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"503 ","pages":"Article 129502"},"PeriodicalIF":3.5,"publicationDate":"2025-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143918304","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

Cycle multistability and synchronization mechanisms in coupled interneurons: In-phase and anti-phase dynamics under current stimuli 耦合中间神经元的周期多稳定性和同步机制：电流刺激下的同相和反相动力学

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-05-07 DOI: 10.1016/j.amc.2025.129500

Jan Ševčík, Lenka Přibylová

{"title":"Cycle multistability and synchronization mechanisms in coupled interneurons: In-phase and anti-phase dynamics under current stimuli","authors":"Jan Ševčík, Lenka Přibylová","doi":"10.1016/j.amc.2025.129500","DOIUrl":"10.1016/j.amc.2025.129500","url":null,"abstract":"<div><div>Over the last decade, high-frequency oscillations (HFOs), very high-frequency oscillations (VHFOs), and ultra-fast oscillations (UFOs) have been proposed as possible biomarkers for epileptogenic zones in individuals with drug-resistant epilepsy. Despite considerable interest, the mechanisms responsible for producing such high frequencies, significantly surpassing the physiological limits of neuronal firing, remain an open question. Using concepts from bifurcation theory, we extend our mathematical framework for modeling the emergence of apparent VHFOs, which might eventually manifest in depth electroencephalographic (EEG) signals, by incorporating an external stimulus responsible for subsequent frequency multiplication. Focusing on the dynamics of two gap-junctionally coupled interneurons, this research provides a detailed analysis of multistable regions, along with an extensive description of possible dynamical regimes associated with external current stimulation, analogous to the frequency-input curve for a single interneuron. In particular, we describe the ability of the stimulus to activate and deactivate oscillation modes in anti-phase or in-phase, including their mutual interchange. Finally, we apply this framework to analyze a collective response of a large heterogeneous two-layer network.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"503 ","pages":"Article 129500"},"PeriodicalIF":3.5,"publicationDate":"2025-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143918483","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

Analysis of stability, energy conservation, and convergence of coupled advection-diffusion models for ocean-atmosphere interactions 海洋-大气相互作用的平流-扩散耦合模式的稳定性、能量守恒和收敛性分析

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-05-05 DOI: 10.1016/j.amc.2025.129496

Taj Munir , Hongchu Chen , Can Kang , Hussan Zeb

{"title":"Analysis of stability, energy conservation, and convergence of coupled advection-diffusion models for ocean-atmosphere interactions","authors":"Taj Munir , Hongchu Chen , Can Kang , Hussan Zeb","doi":"10.1016/j.amc.2025.129496","DOIUrl":"10.1016/j.amc.2025.129496","url":null,"abstract":"<div><div>The main focus of this work is to study ocean-atmosphere coupling, modeled using coupled advection-diffusion equations with two coupling conditions: the Dirichlet-Neumann (DN) and the heat flux condition, defined across two non-overlapping domains. For numerical approximation, the finite-volume method (FVM) and finite-difference method (FDM) are applied. The convergence analysis of the coupled problem is conducted using the Generalized Minimal Residual (GMRES) method. We conclude that central difference schemes ensure conservation under heat flux coupling, while one-sided differences introduce errors leading to energy non-conservation. While for the DN-coupling one sided maintain the conservation. The stability analysis, based on Fourier analysis and normal mode techniques from Godunov-Ryabenkii (GR) stability theory, reveals stricter stability constraints for explicit schemes compared to implicit ones. The GMRES method is used to achieve numerical convergence. The results demonstrate how variations in the Péclet number (Pe) influence the behavior of the solution, transitioning from diffusion-driven smoothness to advection-driven sharpness, while maintaining physical consistency across the domains. The proposed algorithms undergo rigorous numerical validation, with results illustrated through detailed graphs and numerical tables that demonstrate strong agreement between theoretical predictions and computational outcomes.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"502 ","pages":"Article 129496"},"PeriodicalIF":3.5,"publicationDate":"2025-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143903354","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

Community reciprocity promotes cooperation in a network evolutionary prisoner’s dilemma game 网络进化囚徒困境博弈中的社区互惠促进合作

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-05-02 DOI: 10.1016/j.amc.2025.129497

Lin Li, Jingyu Lv, Lili Ma, Jing Ruan

{"title":"Community reciprocity promotes cooperation in a network evolutionary prisoner’s dilemma game","authors":"Lin Li, Jingyu Lv, Lili Ma, Jing Ruan","doi":"10.1016/j.amc.2025.129497","DOIUrl":"10.1016/j.amc.2025.129497","url":null,"abstract":"<div><div>Community structure is one of the most common features of complex networks and plays a crucial role in the game of strategy during an evolutionary process. Previous works focus on its physical characteristics of high cohesion and low coupling, we extend the existing research, by taking into consideration the capacity of communities to effectively manage and allocate resources through collective action, from a logical functional perspective. Based on the Prisoner’s Dilemma Game, we develop a new evolutionary model featuring community reciprocity. In particular, we assume that players could obtain the shared resources contributed by cooperators from communities with a certain probability, and the quantity of reciprocal resources players could reap depends on their positions in the community. Through intensive simulations on two famous synthetic networks with built-in community structure, the results show that community structure can provide enhanced reciprocity and promote the evolution of cooperation. The way that cooperation prospers is by occupying nodes with more advantageous positions within the community. Besides, the clarity of community structure mediates the promoting effect of community reciprocity on cooperation.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"502 ","pages":"Article 129497"},"PeriodicalIF":3.5,"publicationDate":"2025-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143898895","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

Min-min minimization for the fractional ℓ0-regularized problem 分数阶正则化问题的最小最小解

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-05-02 DOI: 10.1016/j.amc.2025.129499

Jun Wang , Qiang Ma , Cheng Zhou

引用次数: 0

A spatio-temporal radial basis function collocation method based on Hausdorff fractal distance for Hausdorff derivative heat conduction equations in three-dimensional anisotropic materials 三维各向异性材料中Hausdorff导数热传导方程的基于Hausdorff分形距离的时空径向基函数配置方法

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-05-02 DOI: 10.1016/j.amc.2025.129501

Jiayu Wang , Lin Qiu , Yingjie Liang , Fajie Wang

{"title":"A spatio-temporal radial basis function collocation method based on Hausdorff fractal distance for Hausdorff derivative heat conduction equations in three-dimensional anisotropic materials","authors":"Jiayu Wang , Lin Qiu , Yingjie Liang , Fajie Wang","doi":"10.1016/j.amc.2025.129501","DOIUrl":"10.1016/j.amc.2025.129501","url":null,"abstract":"<div><div>In this paper, the spatio-temporal radial basis function (RBF) collocation method based on Hausdorff fractal distance is developed and used to simulate the transient heat transfer problems in anisotropic materials governed by Hausdorff derivative heat conduction equations. We introduce Hausdorff fractal distance into the conventional RBFs, and based on this incorporation, establish a meshless method to address Hausdorff derivative heat conduction problems, in which the anisotropy of the thermal conductivity of the material and spatio-temporal fractal characteristics are taken into account. We set the source points of the collocation method outside the spatial computational domain instead of distributing them within the original domain to further improve the accuracy of the method. Numerical experiments carried out in this study demonstrate the superior performance of the proposed approach compared to the finite element method and traditional RBF collocation method, showing that the developed method can be considered as a competitive tool for simulating Hausdorff derivative transient heat conduction problems in complex geometries.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"502 ","pages":"Article 129501"},"PeriodicalIF":3.5,"publicationDate":"2025-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143894403","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

Prescribed-time distributed resource allocation algorithm for heterogeneous linear multi-agent networks with unbalanced directed communication 定向通信不平衡的异构线性多智能体网络的规定时间分布式资源分配算法

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-05-02 DOI: 10.1016/j.amc.2025.129498

Yuxiao Lian , Baoyong Zhang , Deming Yuan , Yao Yao , Bo Song

引用次数: 0

Synchronization of complex networks with multiple disturbances via aperiodically intermittent control input 基于非周期性间歇控制输入的多扰动复杂网络的同步

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-04-29 DOI: 10.1016/j.amc.2025.129495

Yong Wei , Mouquan Shen , Zheng H. Zhu , Xianji Meng

引用次数: 0

Choosability with union separation of planar graphs without intersecting triangles 无相交三角形的平面图形的联合分离的可选择性

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-04-29 DOI: 10.1016/j.amc.2025.129493

Xinhong Pang, Min Chen

引用次数: 0

Analysis of multiple contact types within the framework of semi-finite element method 半有限元法框架内多接触类型分析

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-04-26 DOI: 10.1016/j.amc.2025.129494

Ling Tao , Zhongpan Li , Hong Wen , Simiao Yu , Zhiqiang Feng

{"title":"Analysis of multiple contact types within the framework of semi-finite element method","authors":"Ling Tao , Zhongpan Li , Hong Wen , Simiao Yu , Zhiqiang Feng","doi":"10.1016/j.amc.2025.129494","DOIUrl":"10.1016/j.amc.2025.129494","url":null,"abstract":"<div><div>Dynamic contact problems are common in engineering systems. Current dynamic contact simulations are prone to energy non-conservation and over-reliance on nodes accuracy. To address the above difficulties, a numerical algorithm based on the bipotential theory for solving the dynamic contact problems of multibody systems is proposed. Within the framework of semi-finite element method, the Uzawa iteration is embedded in Newton iteration to solve the nonlinear equation. By constructing the adaptive virtual points on the contact surface, the bipotential theory is introduced to compute the local dynamic contact force. In this work, both the interactive contact interface and the coupling contact interface are considered, and the numerical examples are extended from two-dimension line-to-line contact to three-dimension surface-to-surface contact. In addition, the influence of coupling components on the deformation and motion of each subsystem is also revealed. The numerical results show that the proposed algorithm is effective and stable, satisfies the law of energy conservation strictly and reduces the over-dependence on the nodes accuracy. This work can provide a reference for further research on balancing computation efficiency and accuracy.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"502 ","pages":"Article 129494"},"PeriodicalIF":3.5,"publicationDate":"2025-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143873981","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