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NFM
2011
209views Formal Methods» more  NFM 2011»
15 years 1 months ago
Formalizing Probabilistic Safety Claims
A safety claim for a system is a statement that the system, which is subject to hazardous conditions, satisfies a given set of properties. Following work by John Rushby and Bev Li...
Heber Herencia-Zapana, George Hagen, Anthony Narka...
TIT
2011
144views more  TIT 2011»
15 years 1 months ago
Network Generalized Hamming Weight
— In this paper, we extend the notion of generalized Hamming weight for classical linear block code to linear network codes by introducing the network generalized Hamming weight ...
Chi Kin Ngai, Raymond W. Yeung, Zhen Zhang
JAR
2010
122views more  JAR 2010»
15 years 1 months ago
Partial and Nested Recursive Function Definitions in Higher-order Logic
Based on inductive definitions, we develop a tool that automates the definition of partial recursive functions in higher-order logic (HOL) and provides appropriate proof rules for ...
Alexander Krauss
JMLR
2010
99views more  JMLR 2010»
15 years 1 months ago
Characterization, Stability and Convergence of Hierarchical Clustering Methods
We study hierarchical clustering schemes under an axiomatic view. We show that within this framework, one can prove a theorem analogous to one of J. Kleinberg (Kleinberg, 2002), i...
Gunnar Carlsson, Facundo Mémoli
MOC
2010
15 years 1 months ago
A numerical method for fractal conservation laws
: We consider a fractal scalar conservation law, that is to say a conservation law modified by a fractional power of the Laplace operator, and we propose a numerical method to appr...
Jérôme Droniou