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JAIR
2011
114views more  JAIR 2011»
12 years 7 months ago
Properties of Bethe Free Energies and Message Passing in Gaussian Models
We address the problem of computing approximate marginals in Gaussian probabilistic models by using mean field and fractional Bethe approximations. We define the Gaussian fracti...
Botond Cseke, Tom Heskes
COMBINATORICS
1999
102views more  COMBINATORICS 1999»
13 years 4 months ago
Critical Subgraphs of a Random Graph
We prove that the threshold for a random graph to have a k-core is equal to the threshold for having a subgraph which meets a necessary condition of Gallai for being k-critical. 1...
Michael Molloy, Bruce A. Reed
INFORMATICALT
2000
126views more  INFORMATICALT 2000»
13 years 4 months ago
Commutation in Global Supermonoid of Free Monoids
This work is an attempt of generalization of the simple statement about the requirements of commutation of words for the case of languages. In the paper, the necessary condition fo...
Anna Brosalina, Boris Melnikov
DAM
2007
79views more  DAM 2007»
13 years 4 months ago
Necessary conditions for multistationarity in discrete dynamical systems
R. Thomas conjectured, twenty years ago, that the presence of a positive circuit in the interaction graph of a dynamical system is a necessary condition for the presence of severa...
Adrien Richard, Jean-Paul Comet
ADCM
2006
48views more  ADCM 2006»
13 years 4 months ago
Differentiability of multivariate refinable functions and factorization
Abstract. The paper develops a necessary condition for the regularity of a multivariate refinable function in terms of a factorization property of the associated subdivision mask. ...
Tomas Sauer
CORR
2010
Springer
101views Education» more  CORR 2010»
13 years 4 months ago
On a Low-Rate TLDPC Code Ensemble and the Necessary Condition on the Linear Minimum Distance for Sparse-Graph Codes
Abstract-- This paper addresses the issue of design of lowrate sparse-graph codes with linear minimum distance in the blocklength. First, we define a necessary condition which need...
Iryna Andriyanova, Jean-Pierre Tillich
ISSAC
2001
Springer
133views Mathematics» more  ISSAC 2001»
13 years 9 months ago
Irreducible trinomials over finite fields
A necessary condition for irreducibility of a trinomial over a finite field, based on classical results of Stickelberger and Swan, is established. It is applied in the special ca...
Joachim von zur Gathen
CONCUR
2003
Springer
13 years 9 months ago
Deciding Bisimilarity between BPA and BPP Processes
We identify a necessary condition for when a given BPP process can be expressed as a BPA process. We provide an effective procedure for testing if this condition holds of a given B...
Petr Jancar, Antonín Kucera, Faron Moller
ASPDAC
2006
ACM
133views Hardware» more  ASPDAC 2006»
13 years 10 months ago
Monotonic parallel and orthogonal routing for single-layer ball grid array packages
— In this paper, we give the necessary and sufficient condition that all nets can be connected by monotonic routes when a net consists of a finger and a ball and fingers are on...
Yoichi Tomioka, Atsushi Takahashi
ICRA
2006
IEEE
128views Robotics» more  ICRA 2006»
13 years 10 months ago
Collision Detection of Cylindrical Rigid Bodies for Motion Planning
Abstract— This paper presents a novel methodology for detecting collisions of cylindrically shaped rigid bodies moving in three dimensions. This algorithm uses line geometry and ...
John Ketchell, Pierre M. Larochelle