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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Linear reciprocal transformations of bihamiltonian integrable hierarchies
双哈密尔顿 可积层次 线性互易变换 流体力学
2023/11/13
For an integrable hierarchy which possesses a bihamiltonian structure with semisimple hydrodynamic limit, we prove that the linear reciprocal transformation with respect to any of its symmetry transfo...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Linear Programming on the Stiefel Manifold
Stiefel流形 线性规划 线性函数
2023/12/11
我们研究Stiefel流形上线性规划(LPS)：其目标是线性函数，变量是p个n维空间正交向量（即Stiefel流形约束,p<=n），额外再满足k个线性约束。据我们所知，该模型首次被研究。k=0的(LPS)是一个经典的多项式可解问题。
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Synthesis of robust memory modes for linear quantum systems with unknown inputs
未知输入 线性量子系统 鲁棒记忆模式
2023/11/7
In this work, synthesis of robust memory modes for linear quantum passive systems in the presence of unknown inputs has been studied, aimed at facilitating secure storage and communication of quantum ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Approximation and computation for the linear and nonlinear eigenvalue problems in photonic crystals
光子晶体 线性非线性特征值问题 近似 计算
2023/5/15
In this talk, we discuss the approximation and computation for the linear and nonlinear eigenvalue problems in photonic crystals. We discretize the shifted Maxwell operator with edge finite elements a...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：First-order factors of linear Mahler operators
线性 Mahler operators 一阶因子
2023/4/27
We develop and compare two algorithms for computing first-order right-hand factors in the ring of linear Mahler operators l_r M^r+?+l_1 M+l_0 where l_0,…,l_r are polynomials in x and Mx=x^b M for some...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A novel and faster quantum-inspired algorithm for solving linear systems
线性系统 新颖 量子衍生算法
2023/4/17
In this talk, we introduce a modified classical algorithm to solve linear systems in a model that resembles the QRAM used by quantum linear solvers. Specifically, we demonstrate that for the linear sy...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Primal Dual Alternating Proximal Gradient Algorithms for Nonsmooth Nonconvex Minimax Problems with Coupled Linear Constraints
耦合 线性约束 非光滑 非凸极小问题 基本对偶交替 近端梯度算法
2023/4/14
Nonconvex minimax problems have attracted wide attention in machine learning, signal processing and many other fields in recent years. In this paper, we propose a primal dual alternating proximal grad...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Stable commutator length and linear programming
换向器长度 线性规划 曲面 拓扑优化
2023/4/18
Several topological optimization problems involving surfaces can be turned into linear programming problems. In the case of stable commutator length, this was first discovered by Danny Calegari in the...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Linear Convergence of a Primal-dual Algorithm for Multi-agent Interval Optimization
多智能体 区间优化 原对偶算法 线性收敛
2023/4/21
In this talk, we consider a distributed interval optimization problem (DIOP) with uncertainties, whose global function is formed by local convex interval functions. In seeking Pareto solutions for dis...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A decoupled, linear, and unconditionally energy stable finite element method for a two-phase ferrohydrodynamics model
两相铁 流体动力学模型 无条件能量稳定 有限元方法
2023/4/28
In this talk, we present numerical approximations of a phase-field model for two-phase ferrofluids, which consists of the Navier-Stokes equations, the Cahn-Hilliard equation, the magnetostatic equatio...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars： A decoupled, linear, and unconditionally energy stable finite element method for a two-phase ferrohydrodynamics model
两相铁流体 动力学模型 能量稳定 有限元方法
2023/4/28
In this talk, we present numerical approximations of a phase-field model for two-phase ferrofluids, which consists of the Navier-Stokes equations, the Cahn-Hilliard equation, the magnetostatic equatio...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A method to deal with generalized linear regressions in big data
处理 大数据 广义线性回归
2023/4/28
This paper proposes a method to accelerate calculation for generalized linear models in big data. We separate the covariates of full model into several groups to build candidate models. In the process...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Fixed Effects Bayesian Testing in High-Dimensional Linear Mixed Models
高维 线性混合模型 固定效应 贝叶斯检验
2023/5/5
Hypothesis testing on high-dimensional fixed effects is indispensable for investigating the utility of the predictors on response. In this case, the conventional frequentist methods designed for cases...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Nonlinear structural stability and linear dynamic instability of transonic steady-states to a hydrodynamic model for semiconductors
跨音速稳态 非线性结构稳定性 线性动态不稳定性 半导体 流体动力学模型
2023/5/8
For unipolar hydrodynamic model of semiconductor device represented by Euler-Poisson equations, when the doping profile is supersonic, the existence of steady transonic shock solutions and C^\infty-sm...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Variable selection for generalized linear models with interval-censored failure time data
区间删失 失效时间数据 广义线性模型 变量选择
2023/5/9
Variable selection is often needed in many fields and has been discussed by many authors in various situations.