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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：2-representations and 2-vector bundles
2 向量丛 群论
2023/4/13
In this talk I will introduce some basic concepts in higher category and some details of the construction in the first talk. I will introduce crossed modules and the example of strict 2-representation...
中山大学岭南学院高级计量经济学课件（II：Time series）CH5 Vector Autoregression (VAR) Models
中山大学岭南学院 高级计量经济学 课件（II：Time series） CH5 Vector Autoregression (VAR) Models
2017/6/14
中山大学岭南学院高级计量经济学课件（II：Time series）CH5 Vector Autoregression (VAR) Models。
On an arbitrary compact Riemann surface, necessary and sufficient conditions are found for the existence of semistable vector bundles with slope between zero and one and a prescribed number of linearl...
CYCLES WITH LOCAL COEFFICIENTS FOR ORTHOGONAL GROUPS AND VECTOR-VALUED SIEGEL MODULAR FORMS
CYCLES WITH LOCAL COEFFICIENTS ORTHOGONAL GROUPS VECTOR-VALUED SIEGEL MODULAR FORMS
2015/10/14
The purpose of this paper is to generalize the relation between intersection numbers of cycles in locally symmetric spaces of orthogonal type and Fourier coefficients of Siegel modular forms to the ca...
Our motivation for studying this problem is threefold:
(i) When one fixes r = m = 0, the resulting two parameter family is a normal
form for a codimension two bifurcation within the class of planar ...
Phase Portraits of Planar Vector Fields: Computer Proofs
Computer Proofs Planar Vector Fields
2015/8/25
This paper presents an algorithm for computer veri cation of the
global structure of structurally stable planar vector elds. Constructing
analytical proofs for the qualitative properties of phase p...
Periodic Orbits of Vector Fields: Computational Challenges
Computational Challenges Vector Fields
2015/8/25
Simulation of vector elds is ubiquitous: examples occur in every discipline of
science and engineering. Periodic orbits are frequently encountered as trajectories.
We use solutions of initial value...
The standard 2-norm SVM is known for its good performance in twoclass classification. In this paper, we consider the 1-norm SVM. We argue that the 1-norm SVM may have some advantage over the standard ...
The Entire Regularization Path for the Support Vector Machine
Entire Regularization Path Support Vector Machine
2015/8/21
In this paper we argue that the choice of the SVM cost parameter can be critical. We then derive an algorithm that can fit the entire path of SVM solutions for every value of the cost parameter, with ...
On minimax estimation of a sparse normal mean vector
nearly black object robustness white noise model
2015/8/20
Mallows has conjectured that among distributions which are Gaussian but
for occasional contamination by additive noise, the one having least Fisher
information has (two-sided) geometric contaminatio...
Minimum Volume Confidence Regions for a Multivariate Normal Mean Vector
James-Stein estimator Fisher-von Mises distributio
2015/8/20
Since Stein’s original proposal in 1962, a series of papers have constructed confidence regions of smaller volume than the standard spheres for the mean vector of
a multivariate normal distribu...
Fast construction of hierarchical matrix representation from matrix–vector multiplication
Fast algorithm Hierarchical matrix construction Randomized singular value decomposition Matrix–vector multiplication Elliptic operator Green’s function
2015/7/14
We develop a hierarchical matrix construction algorithm using matrix–vector multiplications, based on the randomized singular value decomposition of low-rank matrices. The algorithm uses Oelog nT appl...
Reconstruction of vector fields for semi-Lagrangian advection on unstructured, staggered grids
Interpolation Vector fields Unstructured Staggered grids Semi-Lagrangian advection
2015/6/30
Applying the semi-Lagrangian method to discretize the advection of momentum eliminates the Courant number constraint associated with explicit Eulerian momentum advection in coastal ocean models. Key s...
Effective vanishing theorems for ample and globally generated vector bundles
Effective vanishing theorems ample globally generated vector bundles
2018/4/19
By proving an integral formula of the curvature tensor of E⊗detE, we observe that the curvature of E⊗detE is very similar to that of a line bundle and obtain certain new Kodaira-Akizuki-Na...
CURVATURES OF DIRECT IMAGE SHEAVES OF VECTOR BUNDLES AND APPLICATIONS
CURVATURES DIRECT IMAGE SHEAVES VECTOR BUNDLES APPLICATIONS
2018/4/19
Let p : X ! S be a smooth K¨ahler fibration and E ! X a Hermitian holomorphic vector bundle. As motivated by the work of Berdtsson([Bern09]), by using basic Hodge theory, we derive several general cur...