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POPL
2010
ACM
14 years 5 months ago
Continuity Analysis of Programs
We present an analysis to automatically determine if a program represents a continuous function, or equivalently, if infinitesimal changes to its inputs can only cause infinitesim...
Swarat Chaudhuri, Sumit Gulwani, Roberto Lublinerm...
FOCS
2010
IEEE
13 years 5 months ago
Stability Yields a PTAS for k-Median and k-Means Clustering
We consider k-median clustering in finite metric spaces and k-means clustering in Euclidean spaces, in the setting where k is part of the input (not a constant). For the k-means pr...
Pranjal Awasthi, Avrim Blum, Or Sheffet
OOPSLA
2007
Springer
14 years 1 months ago
Living in the comfort zone
A comfort zone is a tested region of a system’s input space within which it has been observed to behave acceptably. To keep systems operating within their comfort zones, we advo...
Martin C. Rinard
STOC
2006
ACM
108views Algorithms» more  STOC 2006»
14 years 8 months ago
Gowers uniformity, influence of variables, and PCPs
Gowers [Gow98, Gow01] introduced, for d 1, the notion of dimension-d uniformity Ud (f) of a function f : G C, where G is a finite abelian group. Roughly speaking, if a function ...
Alex Samorodnitsky, Luca Trevisan
IJCNN
2007
IEEE
14 years 1 months ago
Agnostic Learning versus Prior Knowledge in the Design of Kernel Machines
Abstract— The optimal model parameters of a kernel machine are typically given by the solution of a convex optimisation problem with a single global optimum. Obtaining the best p...
Gavin C. Cawley, Nicola L. C. Talbot