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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：若干信息重构问题的理论与算法
信息重构 理论 算法
2023/4/26
数学作为一门基础学科，在科学的研究中扮演着无可替代的角色。但是数学的研究与工程应用之间存在着一道鸿沟。如何针对实际问题的需求，进行相关数学研究是目前应用数学与计算数学研究的一个热点方法。在本报告，我们主要介绍了我们团队最近的两项相关的研究成果。1、基于微分方程模型的由局部信息重构全局信息的问题，即从方程的内部观测值如何重构方程解的问题。这是一个具有重要实际和应用前景的问题。但是，数学理论的结果说明...
Workshop on Dynamics and integrability of nonholonomic and other non-Hamiltonian systems
Workshop Dynamics and integrability of nonholonomic and other non-Hamiltonian systems
2017/12/20
In recent years there has been a growing interest towards the integrability of systems which, though not Hamiltonian, retain some link to—or common origin with—Hamiltonian systems. One such field is t...
2017年可积系统研讨会（Workshop on Integrable Systems）
2017年 可积系统 研讨会
2017/11/24
We are hosting our fifth annual Workshop on Integrable Systems on 7–8 December 2017 at the School of Mathematics and Statistics, the University of Sydney.
2017第四届生理计算系统国际会议（2017 4th International Conference on Physiological Computing Systems）
2017 第四届 生理计算系统 国际会议
2017/3/9
Physiological data in its different dimensions, either bioelectrical, biomechanical, biochemical or biophysical, and collected through specialized biomedical devices, video and image capture or other ...
An Extension of Barbashin-Kraso vski-LaSalle Theorem to a Class of Nonautonomous Systems
Barbashin-Kraso vski-LaSalle Theorem Class of Nonautonomous Systems
2015/9/29
An Extension of Barbashin-Kraso vski-LaSalle Theorem to a Class of Nonautonomous Systems.
Robustness Properties of Nonlinear Systems:Absolute Stability of Linear Systems
Robustness Properties Nonlinear Systems Absolute Stability Linear Systems
2015/9/29
Robustness Properties of Nonlinear Systems:Absolute Stability of Linear Systems.
PERFORMANCE ASSESSMENT METHOD FOR SPEECH ENHANCEMENT SYSTEMS
PERFORMANCE ASSESSMENT METHOD SPEECH ENHANCEMENT SYSTEMS
2015/9/29
A new method to assess noise reduction algorithms with respect to their ability to enhance the perceived quality of speech is presented. Such algorithms consist of both single-microphone systems and m...
Extensions of No-Go Theorems to Many Signal Systems.
Density, Overcompleteness,and Localization of Frames.II.Gabor Systems
Density excess frames Gabor systems modulation spaces overcompleteness Riesz bases wavelets Weyl–Heisenberg systems
2015/9/29
This work develops a quantitative framework for describing the overcompleteness of a large class of frames. A previous article introduced notions of localization and approximation between two frames F...
Orbits of nearly integrable systems accumulating to KAM tori
nearly integrable systems KAM tori
2015/9/25
Orbits of nearly integrable systems accumulating to KAM tori.
A note on micro-instability for Hamiltonian systems close to integrable
micro-instability Hamiltonian systems close to integrable
2015/9/25
In this note, we consider the dynamics associated to a perturbation of an integrable Hamiltonian system in action-angle coordinates in any number of degrees of freedom and we prove the following resul...
A Compactification of H′ enon Mappings in C2 as Dynamical Systems
H′ enon Mappings C2 as Dynamical Systems
2015/8/26
A Compactification of H′ enon Mappings in C2 as Dynamical Systems.
FAST ALGORITHM FOR EXTRACTING THE DIAGONAL OF THE INVERSE MATRIX WITH APPLICATION TO THE ELECTRONIC STRUCTURE ANALYSIS OF METALLIC SYSTEMS
Diagonal extraction hierarchical Schur complement electronic structure calculation
2015/7/14
We propose an algorithm for extracting the diagonal of the inverse matrices arising from electronic structure calculation. The proposed algorithm uses a hierarchical decomposition ofthe computational ...
TRAVELING WAVES IN 2D REACTIVE BOUSSINESQ SYSTEMS WITH NO-SLIP BOUNDARY CONDITIONS
TRAVELING WAVES 2D REACTIVE BOUSSINESQ SYSTEMS NO-SLIP BOUNDARY CONDITIONS
2015/7/14
We consider systems of reactive Boussinesq equations in two dimensional strips that are not aligned with gravity s direction. We prove that for any width of such strips and for arbitrary Rayleigh and ...
Solving Random Quadratic Systems of Equations Is Nearly as Easy as Solving Linear Systems
Random Quadratic Systems Solving Linear Systems
2015/6/17
We consider the fundamental problem of solving quadratic systems of equations in n variables, where yi = |hai, xi|2, i = 1, . . . , m and x ∈ Rn is unknown. We propose a novel method, which starting w...