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» Proving Bounds on Real-Valued Functions with Computations
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DAC
1995
ACM
15 years 1 months ago
The Elmore Delay as a Bound for RC Trees with Generalized Input Signals
The Elmore delay is an extremely popular delay metric, particularly for RC tree analysis. The widespread usage of this metric is mainly attributable to it being the most accurate ...
Rohini Gupta, Byron Krauter, Bogdan Tutuianu, John...
NA
2010
153views more  NA 2010»
14 years 8 months ago
Verified error bounds for multiple roots of systems of nonlinear equations
It is well known that it is an ill-posed problem to decide whether a function has a multiple root. Even for a univariate polynomial an arbitrary small perturbation of a polynomial ...
Siegfried M. Rump, Stef Graillat
ML
2007
ACM
108views Machine Learning» more  ML 2007»
14 years 9 months ago
Unconditional lower bounds for learning intersections of halfspaces
We prove new lower bounds for learning intersections of halfspaces, one of the most important concept classes in computational learning theory. Our main result is that any statist...
Adam R. Klivans, Alexander A. Sherstov
APLAS
2010
ACM
14 years 10 months ago
Amortized Resource Analysis with Polymorphic Recursion and Partial Big-Step Operational Semantics
This paper studies the problem of statically determining upper bounds on the resource consumption of first-order functional programs. A previous work approached the problem with an...
Jan Hoffmann 0002, Martin Hofmann
CORR
2010
Springer
115views Education» more  CORR 2010»
14 years 10 months ago
Optimal topological simplification of discrete functions on surfaces
We solve the problem of minimizing the number of critical points among all functions on a surface within a prescribed distance from a given input function. The result is achieved...
Ulrich Bauer, Carsten Lange, Max Wardetzky