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Discovering and Orienting the Edges Connected to a Target Variable in a DAG via a Sequential Local Learning Approach
Causal network Directed acyclic graph Discover causes and effects
2016/1/20
Given a target variable and observational data, we propose a sequential learning approach for discovering direct cause and effect variables of the target under the causal network frame-work. In the ap...
Curvelets { A Surprisingly E®ective Nonadaptive Representation For Objects with Edges
Nonadaptive Representation Edges
2015/8/21
. It is widely believed that to e±ciently represent an otherwise
smooth object with discontinuities along edges, one must use an adaptive
representation that in some sense `tracks' the shape of the ...
Recovering Edges in Ill-Posed Inverse Problems: Optimality of Curvelet Frames
Ill-Posed Inverse Problems Regularization
2015/8/21
We consider a model problem of recovering a function f(x1; x2) from noisy Radon
data. The function f to be recovered is assumed smooth apart from a discontinuity
along a C2 curve { i.e. an edge. We ...
Abstract: This article studies local existence and uniqueness of Yamabe flow within a class of compact Riemannian manifolds with incomplete edge singularities. Our main analytic step is to establish p...
About maximal number of edges in hypergraph-clique with chromatic number 3
hypergraph-clique chromatic number 3 Combinatorics
2011/8/31
Abstract: Let $ H = (V,E) $ be a hypergraph. By the chromatic number of a hypergraph $ H = (V,E) $ we mean the minimum number $\chi(H)$ of colors needed to paint all the vertices in $ V $ so that any ...
Pseudo-Developing Maps for Ideal Triangulations I: Essential Edges and Generalised Hyperbolic Gluing Equations
3-manifold ideal triangulation parameter space Thurston's gluing equations
2011/8/25
Abstract: Let N be a topologically finite, orientable 3-manifold with ideal triangulation. We show that if there is a solution to the hyperbolic gluing equations, then all edges in the triangulation a...
The mixed boundary value problem for semilinear elliptic equation in domains with edges
mixed boundary value problem domain with edges
2010/9/25
In this paper, we prove the existence and uniqueness of generalized solution of the mixed boundary value problem for semilinear elliptic equation in domains with edges. In addition, some results on sm...
Parity balance of the $i$-th dimension edges in Hamiltonian cycles of the hypercube
Hypercube Hamiltonian cycles i-th dimension edges equi-independence number
2010/12/8
Let n 2 be an integer, and let i 2 f0; : : : ; n 1g. An i-th dimension edge in the n-dimensional hypercube Qn is an edge v1v2 such that v1; v2 di er just at their i-th entries. The parity...
Point sets that minimize $(\le k)$-edges, $3$-decomposable drawings, and the rectilinear crossing number of $K_{30}$
k–edges 3-decomposability rectilinear crossing number
2010/12/10
There are two properties shared by all known crossing-minimizing geometric drawings of Kn, for n a multiple of 3.First, the underlying n-point set of these drawings has exactly 3k+2
2(≤ k)...
A weighted network model based on the preferential selection of edges
Weighted networks Strength distribution Weight distribution
2010/9/15
A model for the growth of weighted networks is proposed. The model is based on the edge preferential selection. By the master equation approach, the distributions of strength, weight and degree are pr...
Domains of holomorphy with edges and lower dimensional boundary singularities
Domains of holomorphy with edges and lower dimensional boundary singularities
2010/11/1
Necessary and sufficient geometric conditions are given for domains with regular boundary points and edges to be domains of holomorphy provided the remainder boundary subset is of zero Hausdorff 1-cod...