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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Maximizing Approximately Non-k-Submodular Monotone Set Function with Matroid Constraint
最大化 矩阵约束 近似非k子模 单调集函数
2023/5/12
Utilizing approximation algorithm, there has been a large quantity of work on optimization for submodular functions since the 1970s. As a variant, $k$-submodular function appears in many fields to mat...
昆明理工大学理学院概率论与数理统计课件Chapter 0 An Introduction to Set Theory
昆明理工大学理学院 概率论与数理统计 课件 Chapter 0 An Introduction to Set Theory
2017/4/17
昆明理工大学理学院概率论与数理统计课件Chapter 0 An Introduction to Set Theory.
Copula function’s concentration set and its concentrated partition
Copula function local correlation structure concentration set concentration measure
2016/1/20
The research on the local correlation structure of copula function is an attractive topic.This paper investigates bivariate copula function’s local correlation structure by defining its concentration ...
On the blow-up set of the Yang–Mills flow on Kahler surfaces
blow-up set Yang–Mills flow Kahler surfaces
2015/12/17
The Yang–Mills flow on a Kahler surface with holomorphic initial data converges smoothly away from a singular set determined by the Harder–Narasimhan–Seshadri filtration of the initial holomorphic bun...
A Hybrid Variational Front Tracking-Level Set Mesh Generator For Problems Exhibiting Large Deformations and Topological Changes
Front Tracking Arbitrary-Lagrangian-Eulerian Mesh Method
2015/12/11
We present a method for generating 2-D unstructured triangular meshes that undergo large deformations and
topological changes in an automatic way. We employ a method for detecting when topological ch...
Descriptive set theory and uncountable model theory
Descriptive set theory uncountable model theory
2015/9/25
In the early days of the development of model theory it was considered
natural and was certainly beneficial to assume that the theories under investigation
were in a countable language. The primary ...
An Example of a Nearly Integrable Hamiltonian System with a Trajectory Dense in a Set of Maximal Hausdorff Dimension
Nearly Integrable Hamiltonian System Trajectory Dense Maximal Hausdorff Dimension
2015/9/25
The famous ergodic hypothesis suggests that for a typical Hamiltonian on a typical energy surface nearly all trajectories are dense. KAM theory disproves it.Ehrenfest (The Conceptual Foundations of th...
The Set of Solutions of Random XORSAT Formulae
random constraint satisfaction problem clustering of solutions phase transition random graph local weak convergence belief propagation
2015/8/21
The XOR-satisfiability (XORSAT) problem requires finding an assignment of n Boolean variables that satisfy m exclusive OR (XOR) clauses, whereby each clause constrains a subset of the variables. We co...
Continuous Curvelet Transform: I. Resolution of the Wavefront Set
Wavelets Curvelets Wave Packets Directional Wavelets
2015/8/21
We discuss a Continuous Curvelet Transform (CCT), a transform f → Γf(a, b, θ) of
functions f(x1, x2) on R2, into a transform domain with continuous scale a > 0, location
b ∈ R2, and orientation θ ∈...
Gibbs states and the set of solutions of random constraint satisfaction problems
Gibbs random constraints the solution
2015/8/21
Gibbs states and the set of solutions of random constraint satisfaction problems.
Row and Column Correlations (Are a set of microarrays independent of each other?)
Row Column Correlations
2015/8/20
Having observed an m n matrix X whose rows are possibly correlated, we wish to test the hypothesis that the columns are independent of each other. Our motivation comes from microarray studies,
where...
SET MAPPING REFLECTION
MAPPING REFLECTION
2015/8/17
The goal of these lectures is to give an exposition of the concept of an open stationary set, an associated reflection principle (for lack of a better word), and a list of examples of how this sort of...
Parameter set estimation of systems with uncertain nonparametric dynamics and disturbances
Parameter set the parameter estimation system dynamics parameter estimation
2015/8/12
A method is presented for parameter set estimation of open-loop stable systems with uncertain parameters and quasi-stationary disturbances. The system model is assumed to contain both parametric and n...
Set-membership identification of systems with parametric and nonparametric uncertainty
Parameters parameter estimation system model the parameter uncertainty
2015/8/12
A method is presented for parameter set estimation where the system model is assumed to contain both parametric and nonparametric uncertainty. In the disturbance-free case, the parameter set estimate ...
Cutting-set methods for robust convex optimization with pessimizing oracles
robust optimization cutting-set methods semi-infi nite programming minimax optimization games
2015/8/10
We consider a general worst-case robust convex optimization problem, with arbitrary dependence on the uncertain parameters, which are assumed to lie in some given set of possible values. We describe a...