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MCS
2007
Springer
13 years 7 months ago
Continuous and discrete homotopy operators: A theoretical approach made concrete
Using standard calculus, explicit formulas for the one-dimensional continuous and discrete homotopy operators are derived. It is shown that these formulas are equivalent to those ...
W. Hereman, Bernard Deconinck, L. D. Poole
GCB
2009
Springer
154views Biometrics» more  GCB 2009»
13 years 11 months ago
Comparative Identification of Differential Interactions from Trajectories of Dynamic Biological Networks
Abstract: It is often challenging to reconstruct accurately a complete dynamic biological network due to the scarcity of data collected in cost-effective experiments. This paper ad...
Zhengyu Ouyang, Mingzhou Song
JLP
2006
138views more  JLP 2006»
13 years 7 months ago
Algebraic-coalgebraic specification in CoCasl
We introduce CoCasl as a light-weight but expressive coalgebraic extension of the algebraic specification language Casl. CoCasl allows the nested combination of algebraic datatype...
Till Mossakowski, Lutz Schröder, Markus Rogge...
SIAMAM
2008
121views more  SIAMAM 2008»
13 years 7 months ago
A Level Set Approach to Anisotropic Surface Evolution with Free Adatoms
We variationally derive a thermodynamically consistent model for surface evolution under the influence of free adatoms. The resulting system of nonlinear partial differential equat...
Christina Stöcker, Axel Voigt
ADCM
2010
59views more  ADCM 2010»
13 years 7 months ago
Sampling inequalities for infinitely smooth functions, with applications to interpolation and machine learning
Sampling inequalities give a precise formulation of the fact that a differentiable function cannot attain large values, if its derivatives are bounded and if it is small on a suff...
Christian Rieger, Barbara Zwicknagl