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质点-弹簧-惯容系统的特征值反问题（李婵颖、谢奇达）
质点-弹簧-惯容系统 特征值 反问题
2023/2/22
彻底解决了质点-弹簧-惯容振动系统的特征值反问题。在结构动力学中，时常需要针对给定的频谱数据来设计系统的物理参数，这类问题可转化为相应系统的特征值反问题。当振动系统引入惯容，则可实现传统质点-弹簧振动系统所不具备的多重固有频率情形。但多重固有频率的配置问题相对复杂。我们引入构造性设计方法，给出了质点-弹簧-惯容振动系统实现其固有频率任意配置（可包括重根情形）的充分必要条件，该条件由给定特征值重数及...
形状优化在计算科学与工程领域具有重要的应用，如何设计满足给定目标及物理约束的区域最优形状是一个具有百年研究历史的重要课题。形状导数是构造形状优化算法的关键所在，其不仅刻画了目标泛函关于区域的扰动变化率，还为形状梯度下降算法提供下降方向，其精度严重影响形状优化算法的收敛性。本人与合作者最近在形状优化问题的离散形状导数方面取得了重要进展。形状优化问题的形状导数具有两种表示方式，一类基于区域积分，另一类...
Based on the numerical method proposed in Hu et al. (2018) [22] for Kohn-Sham equation, further improvement on the efficiency is obtained in this paper by i). designing a numerical method with the str...
一致超图中路和圈扩张的反Ramsey数（李瞳、闫桂英）
一致超图中路 圈扩张 反Ramsey数
2023/2/22
For an r-graph F, the anti-Ramsey number ar(n,r,F) is the minimum number c of colors such that for any edge-coloring of the complete r-graph on n vertices with at least c colors, there is a copy of F ...
图谱方法改进GV界（马志明、闫桂英）
图谱方法 改进 GV界
2023/2/22
This paper improves Gilbert-Varshamov bound by graph spectral method. Gilbert graph Gq,n,d is a graph with all vectors in Fnq as vertices where two vertices are adjacent if their Hamming distance is l...
This paper studies the dual-role-facility location game with generalized service costs, in which every agent plays a dual role of facility and customer, and is associated with a facility opening cost ...
Inductively approaching subsets by almost finite sets, we refute Scheepers’ conjecture under CH. More precisely, we prove the following.
退化双曲面的应变张量及匹配性（姚鹏飞）
退化双曲面 应变张量 匹配性
2023/2/22
We prove the regularity of solutions to the strain tensor equation on degenerated hyperbolic surfaces $S$ where the Gauss curvature is zero on a part of the boundary. Furthermore, we obtain the densit...
偏微分方程约束形状优化问题的改进的边界型离散形状梯度（龚伟）
偏微分方程 约束形状优化 边界型 离散形状梯度
2023/2/22
We propose in this paper two kinds of continuity preserving discrete shape gradients of boundary type for PDE-constrained shape optimizations. First, a modified boundary shape gradient formula for sha...
非精确两层网格法的新型收敛性分析方法（张晨松）
非精确 两层网格法 收敛性 分析方法
2023/2/22
Two-grid methods with exact solution of the Galerkin coarse-grid system have been well studied by the multigrid community: an elegant identity has been established to characterize the convergence fact...
基于二阶锥规划的SONC优化和非负性证明（王杰）
二阶锥规划 SONC优化 非负性证明
2023/2/22
The second-order cone (SOC) is a class of simple convex cones and optimizing over them can be done more efficiently than with semidefinite programming. It is interesting both in theory and in practice...
实际工业过程中,量测数据除了在线仪表采集的快速率数据,还有离线化验等慢速率辅助量测数据.为了更好地利用离线化验数据,增加在线估计的精度,针对随机跳变系统,引入迁移学习思想,提出迁移交互多模型估计(Transfer interacting multiple model state estimator,IMM-TF)新策略.首先,将离线化验数据的边缘分布作为可以迁移的知识,迁移到贝叶斯后验分布,实现辅...
针对缺失数据生成模型精度低和训练速度慢的问题,本文基于流模型框架提出了一种改进非线性独立成分估计(Nonlinear independent components estimation,NICE)的缺失时间序列生成方法.该方法依靠流模型框架生成模型精度高、训练过程速度快的优势,并结合粒子群优化算法(Particle swarm optimization,PSO)优化NICE生成网络采样的退火参数,...
加权与近似加权势博弈及其在博弈控制论中的应用
加权 近似加权势博弈 博弈控制论
2023/1/5
With the tool of semi-tensor product of matrices, an algorithm is proposed to verify whether a finite game is a weighted potential game (WPG) without pre-knowledge on its weights. Then the algorithm i...