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Varying Naive Bayes Models with Applications toClassi cation of Chinese Text Documents
BIC Chinese Document Classification Screening Consistency
2016/1/25
Document classification is an area of great importance for which many clas-sification methods have been well developed. However, most of these methods cannot generate time-dependent classification rul...
Second Order Hadamard Differentiability in Statistical Applications
Cramer-von Mises statistic goodness of fit test Hadamard differentiability limiting distribution linear models M-estimator statistical functionals uniform asymptotic linearity weighted empirical processes
2015/12/11
A formulation of the second-order Hadamard differentiability of (extended) statistical functionals and some related theoretical results are established. These results are applied to derive the limitin...
Discrete Gradient Flows for Shape Optimization and Applications
Shape optimization scalar product gradient flow
2015/12/11
We present a variational framework for shape optimization problems
that establishes clear and explicit connections among the continuous formulation, its full discretization and the resulting linear a...
A path model for geodesics in Euclidean buildings and its applications to representation theory
path model for geodesics Euclidean buildings representation theory
2015/10/14
In this paper we give a combinatorial characterization of projections ofgeodesics in Euclidean buildings to Weyl chambers. We apply these results to the representation theory of complex reductive Lie ...
The generalized triangle inequalities in symmetric spaces and buildings with applications to algebra
generalized triangle inequalities symmetric spaces and buildings applications to algebra
2015/10/14
In this paper we apply our results on the geometry of polygons in infinitesimal symmetric spaces, symmetric spaces and buildings, [KLM1, KLM2], to four problems in algebraic group theory. Two of these...
A Frobenius theorem for Cartan geometries, with applications
applications Cartan geometries
2015/10/14
We prove analogues for Cartan geometries of Gromov's major theorems on automorphisms of rigid geometric structures. The starting
point is a Frobenius theorem, which says that in nitesimal automorphis...
Conservative homoclinic bifurcations and some applications
conservative dynamics homoclinic bifurcations Newhouse phenomena persistent tangencies Hausdorff dimension standard map three body problem Sitnikov problem
2015/9/25
We study generic unfoldings of homoclinic tangencies of two dimensional area preserving diffeomorphisms (conservative Newhouse phenomena) and show that they give rise to invariant hyperbolic sets of a...
Dynamics of the dominant Hamiltonian,with applications to Arnold diffusion
dominant Hamiltonian Arnold diffusion
2015/9/25
It is well know that instabilities of nearly integrable Hamiltonian systems occur around resonances. Dynamics near resonances of these systems is wellapproximated by the associated averaged system, ca...
HARNACK INEQUALITY AND HYPERBOLICITY FOR SUBELLIPTIC p-LAPLACIANS WITH APPLICATIONS TO PICARD TYPE THEOREMS
HARNACK INEQUALITY HYPERBOLICITY
2015/8/26
Let M be a complete non-compact Riemannian manifold. For p ∈ (1,+∞),
let Δp be the p-Laplace operator on M. One says that M is p-hyperbolic
if there exists a Green function for Δp (see [Ho1,2]); oth...
Pseudo-Poincar¶e Inequalities and Applications to Sobolev Inequalities
Sobolev Inequalities Inequalities
2015/8/26
Most smoothing procedures are via averaging. Pseudo-Poincar¶e in-
equalities give a basic Lp-norm control of such smoothing procedures in terms
of the gradient of the function involved. When av...
We use Klee’s Dehn-Sommerville relations and other results on face numbers of homology manifolds without boundary to (i) prove Kalai’s conjecture providing lower bounds on the f-vectors of an even-dim...
COUNTING THE FACES OF RANDOMLY-PROJECTED HYPERCUBES AND ORTHANTS, WITH APPLICATIONS
RANDOMLY-PROJECTED ORTHANTS
2015/8/21
Let RN
+ denote the positive orthant; the expected number of k-faces of
the random cone ARN
+ obeys Efk(ARN
+)/fk(RN
+) = 1 − PN−n,N−k. The
formula applies to numerous matrix e...
Applications of the lasso and grouped lasso to the estimation of sparse graphical models
lasso and grouped lasso sparse graphical models
2015/8/21
We propose several methods for estimating edge-sparse and nodesparse graphical models based on lasso and grouped lasso penalties.We develop efficient algorithms for fitting these models when the numbe...
MULTISCALE MAXIMUM LIKELIHOOD ANALYSIS OF A SEMIPARAMETRIC MODEL, WITH APPLICATIONS
LIKELIHOOD ANALYSIS SEMIPARAMETRIC MODEL WITH APPLICATIONS
2015/8/20
A special semiparametric model for a univariate density is introduced
that allows analyzing a number of problems via appropriate transformations. Two problems treated in some detail are testing for t...
The Block Criterion for Multiscale Inference About a Density, With Applications to Other Multiscale Problems
Fast algorithm Local increase in a density Multiscale test.
2015/8/20
The use of multiscale statistics, that is, the simultaneous inference about various
stretches of data via multiple localized statistics, is a natural and popular method for
inference about, for exam...