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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Barron Type Spaces in Neural Network Approximation
神经网络 巴伦类型空间 经典函数空间
2023/3/31
We shall discuss various Barron type spaces arising from neural networks. The relations among these spaces will be clarified, and we shall also establish the relationship between Barron type spaces an...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Deep neural network approximation to inverse conductivity problems for elliptic equations
椭圆方程 反电导率 深度神经网络
2023/3/23
The focus of this talk is on the numerical methods used to identify parameters in partial differential equations. Typically, an optimization approach is used to solve this class of inverse problems, w...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Graph Refinement via Simultaneously Low-rank and Sparse Approximation
低秩 稀疏近似 图细化
2023/3/16
Graphs play an important role in many fields of machine learning such as clustering. Many graph-based machine learning approaches assume that the graphs have hidden group structures. However, the grou...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：ANALYSIS AND APPROXIMATION OF FLUIDS UNDER SINGULAR FORCING
奇异强迫体 分析 近似 牛顿流体
2022/11/30
Motivated by applications, like modeling of thin structures immersed in a fluid, we develop a well posedness theory for Newtonian and some non-Newtonian fluids under singular forcing in Lipschitz doma...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The long wave approximation of the Green-Naghdi equations with the Coriolis effect
格林-纳格迪方程 长波近似 科里奥利效应
2022/11/21
This talk study the long wave asymptotic behavior of Green-Naghdi equations, which could be used to describe the propagation of long-crested shallow-water waves in the equatorial ocean regions with th...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Diffusion limit of the compressible Euler-P1 approximation model arising from radiation hydrodynamics
辐射流体动力学 可压缩欧拉 近似模型 扩散极限
2022/11/21
We first show the nonequilibrium-diffusion limit of the compressible Euler-P1 approximation model arising in radiation hydrodynamics as the Mach number tends to zero when the initial data is well-prep...
Stochastic Combinatorial Optimization via Poisson Approximation
Stochastic Knapsack Stochastic Bin Packing Expected Util- ity Maximization
2016/1/23
We study several stochastic combinatorial problems, includ-ing the expected utility maximization problem, the stochas-tic knapsack problem and the stochastic bin packing prob-lem. A common technical c...
A Fully Polynomial Approximation Scheme for Approximating a Sum of Random Variables
Threshold probability Tail probability Approximate counting Counting knapsack FPTAS
2016/1/22
Given n independent integer-valued random variables X 1 , X 2 ,..., X n and an integer C, we study the fundamental problem of computing the probability that the sum X = X 1 + X 2 +···+ X n is at most ...
Approximation Algorithms for the Connected Sensor Cover Problem
Approximation Algorithms Connected Sensor Cover Problem
2016/1/22
We study the minimum connected sensor cover problem(MIN-CSC) and the budgeted connected sensor cover (Budgeted-CSC)problem, both motivated by important applications in wireless sensor networks. In bot...
Linear Time Approximation Schemes for Geometric Maximum Coverage
Maximum coverage Geometric set cover Polynomial-time approximation scheme
2016/1/22
We study approximation algorithms for the following geo-metric version of the maximum coverage problem: Let P be a set of n weighted points in the plane. We want to place m a × b rectangles such that ...
A rank minimization heuristic with application to minimum order system approximation
Variable control system analysis and controller synthesis matrix rank linear matrix inequality (lmi) the positive semi-definite matrix variables
2015/8/11
Several problems arising in control system analysis and design, such as reduced order controller synthesis, involve minimizing the rank of a matrix variable subject to linear matrix inequality (LMI) c...
TRAVELING SALESPERSON APPROXIMATION ALGORITHM FOR REAL ROAD NETWORKS
Traveling Salespersons Problem Christofides algorithm Shortest path Transportation network Optimal tour GIS
2015/8/10
Traveling salespersons problem (TSP) is one of the unsolved problems of the day that carry significant value to the transportation networks. The exact solution of a Traveling salespersons problem is n...
Data Cube Approximation and Mining using Probabilistic Modeling
data cubes OLAP data warehouses multidimensional data non-negative multi-way array factorization log-linear modeling
2015/7/29
On-line Analytical Processing (OLAP) techniques commonly used in data warehouses allow the exploration of data cubes according to different analysis axes (dimensions) and under different abstraction l...
A finite element model for strain localization analysis of strongly discontinuous fields based on standard Galerkin approximation
finite element model strongly discontinuous fields standard Galerkin approximation
2015/7/1
This paper presents a fnite element model for strain localization analysis of elastoplastic solids subjected to discontinuous displacement felds based on standard Galerkin approximation. Strain enhanc...
Estimation of aerosol optical depth over Dehradun (India) using simple model for atmospheric radiative transfer in multiple scattering approximation
SMART multiple scattering approximation AWiFS aerosol optical depth
2014/12/15
Aerosol optical depth retrieval over land surface using remote sensing employs the use of radiative transfer simulations and/or simultaneous measurements of atmospheric parameters at the time of satel...