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PODS
2012
ACM
281views Database» more  PODS 2012»
13 years 9 days ago
Mergeable summaries
We study the mergeability of data summaries. Informally speaking, mergeability requires that, given two summaries on two data sets, there is a way to merge the two summaries into ...
Pankaj K. Agarwal, Graham Cormode, Zengfeng Huang,...
MP
2010
150views more  MP 2010»
14 years 4 months ago
The algebraic degree of semidefinite programming
Given a generic semidefinite program, specified by matrices with rational entries, each coordinate of its optimal solution is an algebraic number. We study the degree of the minima...
Jiawang Nie, Kristian Ranestad, Bernd Sturmfels
ANTS
2004
Springer
90views Algorithms» more  ANTS 2004»
15 years 3 months ago
Conjectures about Discriminants of Hecke Algebras of Prime Level
In this paper, we study p-divisibility of discriminants of Hecke algebras associated to spaces of cusp forms of prime level. By considering cusp forms of weight bigger than 2, we a...
Frank Calegari, William A. Stein
IMAMS
2007
157views Mathematics» more  IMAMS 2007»
14 years 11 months ago
Regularity Criteria for the Topology of Algebraic Curves and Surfaces
In this paper, we consider the problem of analysing the shape of an object defined by polynomial equations in a domain. We describe regularity criteria which allow us to determine...
Lionel Alberti, Bernard Mourrain
CDC
2009
IEEE
143views Control Systems» more  CDC 2009»
15 years 2 months ago
Control interpretations of products in the Hopf algebra
Abstract— Families of differential operators, like those defining affine, generally nonlinear, control systems are known to have natural Hopf algebra structures. These provide ...
Matthias Kawski