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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...
Spectral Methods for Learning Multivariate Latent Tree Structure
Multivariate Latent Spectral Methods
2011/7/19
This work considers the problem of learning the structure of a broad class of multivariate latent variable tree models, which include a variety of continuous and discrete models (including the widely ...
Topological Randomness and Number of Edges Predict Modular Structure in Functional Brain Networks
Topological Randomness Number Edges Predict Modular Structure Functional Brain Networks
2011/7/7
In a recent paper, Bassett et al. (2011) have analyzed the static and dynamic organization of functional brain networks in humans.
RNA structure characterization from chemical mapping experiments
RNA structure characterization chemical mapping experiments
2011/7/7
Despite great interest in solving RNA secondary structures due to their impact on function, it remains an open problem to determine structure from sequence. Among experimental approaches, a promising ...
Latent variable models are frequently used to identify structure in dichotomous network
data, in part because they give rise to a Bernoulli product likelihood that is both well un-
derstood and cons...
Hierarchical structure in phonographic market
Life time of correlation correlation coefficient phonographic market
2011/6/21
I find a topological arrangement of assets traded in a phonographic market
which has associated a meaningful economic taxonomy. I continue using
the Minimal Spanning Tree and the Life-time Of Correl...