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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Kolmogorov-Smirnov type testing for structural breaks: A new adjusted-range based self-normalization approach
结构断裂 Kolmogorov-Smirnov检验 KS检验 调整范围 自归一化方法
2023/4/23
A popular self-normalization (SN) approach in time series analysis uses the variance of a partial sum as a self-normalizer. This is known to be sensitive to irregularities such as persistent autocorre...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Structured Matrices Approach for Legendre Pairs
勒让德对 结构化 矩阵方法
2023/4/17
Legendre Pairs are combinatorial objects with a rich 20+ years history. Their main application is that they furnish a structured form of the Hadamard conjecture and they have been studied by several a...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：An Improved Unconstrained Approach for Bilevel Optimization
双层优化 无约束 非凸强凸
2023/4/17
We focus on the nonconvex-strongly-convex bilevel optimization problem (BLO). In this BLO, the objective function of the upper-level problem is nonconvex and possibly nonsmooth, and the lower-level pr...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A unified method to construct soliton solutions to NLS type equations by the KP-Toda reduction approach: Part II discrete case
KP-户田约简法 NLS类型 方程孤子解 统一方法 离散情况
2023/4/27
In the second part, I will mainly focus on two semi-discrete models: Ablowitz-Ladik equation and fully discrete NLS equation. First, I will clarify the connection of these two discrete models with dis...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A unified method to construct soliton solutions to NLS type equations by the KP-Toda reduction approach: Part I continuous case
KP-户田约简法 NLS类型 方程孤子解 统一方法 离散情况
2023/4/27
In these two talks, I will present a unified method to construct soliton solutions to NLS type equations by the KP-Toda reduction approach. I will take the NLS equation as a typical example and show h...
Discovering and Orienting the Edges Connected to a Target Variable in a DAG via a Sequential Local Learning Approach
Causal network Directed acyclic graph Discover causes and effects
2016/1/20
Given a target variable and observational data, we propose a sequential learning approach for discovering direct cause and effect variables of the target under the causal network frame-work. In the ap...
Full likelihood inferences in the Cox model:an empirical likelihood approach
Right censored data Empirical likelihood Maximum likelihood estimator Partial likelihood Profile likelihood
2015/12/11
For the regression parameter β0 in the Cox model, there have been several estimators constructed based on various types of approximated likelihood, but none of them has demonstrated small-sample advan...
Fractional diffusion limit for collisional kinetic equations:a Hilbert expansion approach
Fractional diffusion limit collisional kinetic equations Hilbert expansion
2015/10/15
We develop a Hilbert expansion approach for the derivation of fractional diffusion equations from the linear Boltzmann equation with heavy tail equilibria.
The thin film equation with non zero contact angle:A singular perturbation approach
thin film equation non zero contact angle singular perturbation approach
2015/10/15
In this paper we prove the existence of weak solutions for the thin film equation with prescribed non zero contact angle and for a large class of mobility coefficients, in dimension 1. The existence o...
NON-PERTURBATIVE APPROACH TO RANDOM WALK IN MARKOVIAN ENVIRONMENT
Random Walk Random environment CLT Gibbs
2015/9/29
The study of random walk in random evolving environment has attracted much attention lately.
The basic idea is that, due to the time mixing properties of the environment, the CLT should hold
in any ...
Energy-Efficient Power and Rate Control with QoS Constraints:A Game-Theoretic Approach
Energy-Efficient Power Rate Control QoS Constraints Game-Theoretic Approach
2015/9/29
A game-theoretic model is proposed to study the cross-layer problem of joint power and rate control with quality of service (QoS) constraints in multiple-access networks. In the proposed game, each us...
An Information-Theoretic Approach to Traffic Matrix Estimation
Traffi c Matrix Estimation Information Theory
2015/8/21
Traffic matrices are required inputs for many IP network management tasks: for instance, capacity planning, traffic engineering and
network reliability analysis. However, it is diffi...
A popular theory of self-organized criticality predicts that the stationary density of the abelian sandpile model equals the threshold density of the corresponding fixed-energy sandpile. We recently a...
Control-relevant experiment design: a plant-friendly, LMI-based approach
Semidefinite programming linear matrix inequality
2015/8/11
The non-convex control-relevant experiment design developed in earlier works is transformed to a semidefinite program with linear matrix inequality constraint. As a result, the computational burden is...
A Quantitative Approach to Incentives: Application to Voting Rules
Voting Rules Quantitative
2015/7/15
We present a general approach to quantifying a mechanism’s susceptibility to
strategic manipulation, based on the premise that agents report their preferences
truthfully if the potential gain from b...