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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Mixed volume of infinite-dimensional convex compact sets II
无限维 凸紧集 混合体积
2023/11/6
Using the results presented in the previous lecture, namely the generalization of the Tsirelson's theorem [2] to mixed volumes, we calculate the mixed volume of the closed convex hulls of the two orth...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Mixed volume of infinite-dimensional convex compact sets I
无限维 凸紧集 混合体积
2023/11/6
Let K be a convex compact subset of a separable Hilbert space H. One of the most important geometric characteristics of K is its intrinsic volumes. In the finitedimensionalcase (K ? R^d), the intrinsi...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Mixed-binary Convex Quadratic Optimization and Its Applications in Inference with Sparsity
二元凸 二次优化 稀疏推理
2023/4/14
Sparsity is a naturally occurring characteristic in many real-world applications including signal denoising, outlier detection, and finance. On one hand, sparsity assumption allows people to tackle in...
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：Arithmetic mixed Siegel-Weil formulas and modular forms of arithmetic divisors
算术混合 西格尔-威尔公式 算术除数 模形式
2023/5/5
The classical Siegel–Weil formula relates theta series to Eisenstein series and its arithmetic version is central in Kudla's program. I will discuss arithmetic mixed Siegel-Weil formulas. I will focus...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Mixed-norm of orthogonal projections and analytic interpolation on dimensions of measures
正交投影 混合范数 度量维度 分析插值
2023/5/5
We obtain new mixed-norm estimates and geometric results on projections. In the proof we introduce a new quantity called s-amplitude, and interpolate analytically not only on p,q, but also on dimensio...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Group-Orthogonal Subsampling for Big Data Linear Mixed Models
大数据 线性混合模型 群正交 子采样
2023/5/10
Linear mixed model is a popular and common modeling method in statistical analysis. It is computationally difficult to obtain parameter estimates in linear mixed model for big data. The current subsam...
MIXED FINITE ELEMENT METHOD FOR ELECTROWETTING ON DIELECTRIC WITH CONTACT LINE PINNING
FINITE ELEMENT CONTACT LINE PINNING
2015/12/11
We present a mixed finite element method for a model of the flow in
a Hele-Shaw cell of 2-D fluid droplets surrounded by air driven by surface tension
and actuated by an electric &...
THE LOCUS OF HODGE CLASSES IN AN ADMISSIBLE VARIATION OF MIXED HODGE STRUCTURE
ADMISSIBLE VARIATION HODGE CLASSES
2015/9/29
We generalize the theorem of E. Cattani, P. Deligne, and A. Kaplan to admissible variations of mixed Hodge structure.
A Geometric Model for Mixed-Mode Oscillations in a Chemical System
mixed-mode oscillations bifurcations kneading theory
2015/8/25
This paper presents a detailed analysis of mixed-mode oscillations in the “autocatalator,” a threedimensional,
two time scale vector field that is a chemical reactor model satisfying the law of mass
...
Attainment of the multiple quantum Chernoff bound for certain ensembles of mixed states
multiple quantum Chernoff bound certain ensembles mixed states
2015/8/25
We consider the problem of detecting the true quantum state among r possible ones, based onmeasurements performed on n of copies of a finite dimensional quantum system. It is known that the exponent f...
Mixed state estimation for a linear Gaussian Markov model
Discrete dynamical system Boolean state of continuous linear transmission Boolean state variables noise markov chain
2015/8/10
We consider a discrete-time dynamical system with Boolean and continuous states, with the continuous state propagating linearly in the continuous and Boolean state variables, and an additive Gaussian ...
Mixed linear system estimation and identification
Statistical estimation Convex relaxation Interior-point methods
2015/8/7
We consider a mixed linear system model, with both continuous and discrete inputs and outputs, described by a coefficient matrix and a set of noise variances. When the discrete inputs and outputs are ...
Hybrid Designs of Computer and Physical Experiments Resource Allocation in Mixed Testing
Hybrid Designs Computer and Physical Experiments Mixed Testing
2015/3/20
Hybrid Designs of Computer and Physical Experiments Resource Allocation in Mixed Testing.
On the construction of normal mixed difference matrices
On the construction normal mixed difference matrices
2015/3/20
On the construction of normal mixed difference matrices.