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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Multiclass Sparse Discriminant Analysis Incorporating Graphical Structure among Predictors
预测变量 图形结构 多类稀疏 判别分析
2023/5/9
In the era of big data, many sparse linear discriminant analysis methods have been proposed for the classification and variable selection of the high-dimensional data. In order to solve the multiclass...
Learning the Structure of Mixed Graphical Models
Learning the Structure Mixed Graphical Models
2015/8/21
We consider the problem of learning the structure of a pairwise graphical model over continuous and discrete variables. We present a new pairwise model for graphical models with both continuous and di...
A Note on the Symplectic Structure on the Space of G-Monopoles
G - Monopoles space structure
2014/12/29
A Note on the Symplectic Structure on the Space of G-Monopoles.
A note on a symplectic structure on the space of G-monopoles
Complex semisimple borel subgroups projection line topological charge mode space nature and space
2014/12/29
Let G be a semisimple complex Lie group with a Borel subgroup B. Let X=G/B be the flag manifold of G. Let C=\PP1 ' ￥Unknown control sequence '\PP' be the projective line. Let a Î H2(\bX,\Bbb Z)Un...
Structure of the Malvenuto-Reutenauer Hopf Algebra of Permutations (Extended Abstract)
Hopf algebra and algebra algebraic function
2014/12/29
We analyze the structure of the Malvenuto-Reutenauer Hopf algebra of permutations in detail. We give explicit formulas for its antipode, prove that it is a cofree coalgebra, determine its primitive el...
Quiver Coefficients are Schubert Structure Constants
Fulton k theory quiver integer linear combination quiver coefficient
2014/12/25
Buch and Fulton established a formula for the cohomology class of a quiver variety [9], which Buch later extended to K-theory [5]. The K-theory formula expresses a quiver class as an integer linear co...
Structure and stability of two-dimensional Bose-Einstein condensates under both harmonic and lattice confinement
Two-dimensional condensate the harmonic potential optical lattice
2014/12/25
In this work, we study two-dimensional Bose–Einstein condensates confined by both a cylindrically symmetric harmonic potential and an optical lattice with equal periodicity in two orthogonal direction...
Infinitesimal variations of Hodge structure at infinity
Degradation hodge structure polarization polarization integrated hodge structure
2014/12/24
By analyzing the local and infinitesimal behavior of degenerating polarized variations of Hodge structure the notion of infinitesimal variation of Hodge structure at infinity is introduced. It is show...
The Structure of Bivariate Rational Hypergeometric Functions
Codimension 2 lattice structure configuration rational function F partial derivatives zero complex curved surface
2014/12/24
We describe the structure of all codimension-2 lattice configurations A which admit a stable rational A-hypergeometric function, that is a rational function F all the partial derivatives of which are ...
Adapting the Interrelated Two-way Clustering method for Quantitative Structure-Activity Relationship (QSAR) Modeling of a Diverse Set of Chemical Compounds
Mutagenicity topological indices atom pairs Interrelated Two-way Clustering ridge regression quantum chemical descriptors
2013/6/14
Interrelated Two-way Clustering (ITC) is an unsupervised clustering method developed to divide samples into two groups in gene expression data obtained through microarrays, selecting important genes s...
Detecting Overlapping Temporal Community Structure in Time-Evolving Networks
Detecting Overlapping Temporal Community Structure Time-Evolving Networks
2013/5/2
We present a principled approach for detecting overlapping temporal community structure in dynamic networks. Our method is based on the following framework: find the overlapping temporal community str...
Surprising Asymptotic Conical Structure in Critical Sample Eigen-Directions
PCA High Dimension Boundary Behavior Consistency
2013/4/28
The aim of this paper is to establish several deep theoretical properties of principal component analysis for multiple-component spike covariance models. Our new results reveal a surprising asymptotic...
Dependence Structure of Spatial Extremes Using Threshold Approach
Dependence Structure Spatial Extremes Threshold Approach
2012/11/23
The analysis of spatial extremes requires the joint modeling of a spatial process at a large number of stations and max-stable processes have been developed as a class of stochastic processes suitable...
Parameter and Structure Learning in Nested Markov Models
Parameter Structure Learning in Nested Markov Models
2012/9/19
The constraints arising from DAG mod-els with latent variables can be naturally represented by means of acyclic directed mixed graphs (ADMGs). Such graphs contain directed (!) and bidirected ($) arrow...
Structure-Based Bayesian Sparse Reconstruction
Structure-Based Bayesian Sparse Reconstruction
2012/9/19
Sparse signal reconstruction algorithms have attracted research attention due to their wide applications in various fields. In this paper, we present a simple Bayesian approach that utilizes the spars...