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Optimal mixture weights in multiple importance sampling
multiple importance sampling mixture
2015/8/21
In multiple importance sampling we combine samples from a nite list
of proposal distributions. When those proposal distributions are used to
create control variates, it is possible (Owen and Zhou, ...
Weights and degrees in a random graph model based on 3-interactions
Martingale random graph preferential attachment scale-free property
2012/6/19
In a random graph model based on 3-interactions we give the joint asymptotic distribution of weights and degrees and prove scale-free property for the model. Moreover, we determine the asymptotics of ...
Eichler Cohomology of Generalized Modular Forms of Real Weights
Eichler Cohomology Generalized Modular Forms Number Theory
2012/5/9
In this paper, we prove the Eichler cohomology theorem of weakly parabolic generalized modular forms of real weights on subgroups of finite index in the full modular group. We explicitly establish the...
Quasilinear elliptic equations and weighted Sobolev-Poincare inequalities with distributional weights
Quasilinear equations weighted integral inequalities elliptic regularity
2012/4/16
We introduce a class of weak solutions to the quasilinear equation $-\Delta_p u = \sigma |u|^{p-2}u$ in an open set $\Omega\subset\mathbf{R}^n$. Here $p>1$, and $\Delta_p u$ is the $p$-Laplacian opera...
The Continuum Limit of Toda Lattices for Random Matrices with Odd Weights
Toda Lattices Continuum Limit Random Matrices Odd Weights
2011/7/7
This paper is concerned with the asymptotic behavior of the free energy for a class of Hermitean random matrix models, with odd degree polynomial potential, in the large N limit. It continues an inves...
Tropical varieties with polynomial weights and corner loci of piecewise polynomials
Tropical varieties polynomial weights corner loci of piecewise polynomials
2011/2/28
Counting Euler characteristics of the discriminant of the quadratic equation in terms of
Newton polytopes in two different ways, G. Gusev ([Gus]) found an unexpected relation for
mixed volumes of tw...
Implicit Renewal Theorem for Trees with General Weights
Implicit renewal theory weighted branching processes
2011/1/20
Consider distributional xed point equations of the form R D= f(Ci;Ri; 1 i N); where f() is a possibly random real valued function, N 2 f0; 1; 2; 3; : : : g [ f1g, fCigN i=1 are real valued rando...
Low-Rank Matrix Approximation with Weights or Missing Data is NP-hard
low-rank matrix approximation weighted low-rank approximation missing data
2011/1/17
Weighted low-rank approximation (WLRA), a dimensionality reduction technique for data anal-
ysis, has been successfully used in several applications, such as in collaborative filtering to design reco...
Nowhere conformally homogeneous manifolds and limiting Carleman weights
Nowhere conformally homogeneous manifolds Carleman weights
2010/11/18
In this note we prove that a generic Riemannian manifold of dimension $\geq 3$ does not admit any nontrivial local conformal diffeomorphisms. This is a conformal analog of a result of Sunada concerni...
Weights and t-structures: in general, for 1-motives, mixed motives, and for mixed Hodge complexes and modules
Weights and t-structures 1-motives mixed Hodge complexes and modules
2010/11/22
We study certain 'weights' for triangulated categories endowed with $t$-structures. Our results axiomatize and describe in detail the relations between the Chow weight structure (introduced in a prec...
Weights on bimodules
Weights on bimodules math
2010/11/15
The concept of a {\em weight} on a planar algebra was introduced in \cite{DGG}. In this article we give an alternate characterization of weights on a planar algebra in terms of `weight functions' on ...
Pac-bayesian bounds for sparse regression estimation with exponential weights
Sparsity Oracle Inequality High-dimensional Regression
2010/12/6
We consider the sparse regression model where the number of parameters p is larger than the sample size n. The difficulty when considering high-dimensional problems is to propose estimators achieving ...
Muntz-type theorems on the half-line with weights
Muntz-type theorems half-line with weights
2010/12/14
We consider the linear span S of the functions tak (with some ak > 0)in weighted L2 spaces, with rather general weights. We give one necessary and one sufficient condition for S to be dense. Some comp...
Morphological dilation image coding with context weights prediction
quad-tree coding morphological dilation variable-length group test coding weights training
2010/12/14
This paper proposes an adaptive morphological dilation image coding with context weights prediction. The new dilation method is not to use fixed models, but to decide whether a coefficient needs to be...
Permutation Weights and Modular Poincare Polynomials for Affine Lie Algebras
Permutation Weights Modular Poincare Polynomials Affine Lie Algebras
2010/12/8
Poincare Polynomial of a Kac-Moody Lie algebra can be obtained by classifying the
Weyl orbit W() of its Weyl vector . A remarkable fact for Affine Lie algebras is that the
number of elements of W(...