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» Numerical Analysis on a Quantum Computer
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STOC
2010
ACM
216views Algorithms» more  STOC 2010»
14 years 5 months ago
BQP and the Polynomial Hierarchy
The relationship between BQP and PH has been an open problem since the earliest days of quantum computing. We present evidence that quantum computers can solve problems outside th...
Scott Aaronson
SCALESPACE
1999
Springer
13 years 12 months ago
Nonlinear PDEs and Numerical Algorithms for Modeling Levelings and Reconstruction Filters
In this paper we develop partial differential equations (PDEs) that model the generation of a large class of morphological filters, the levelings and the openings/closings by rec...
Petros Maragos, Fernand Meyer
CG
2011
Springer
13 years 2 months ago
Multiresolutions numerically from subdivisions
In previous work we introduced a construction to produce multiresolutions from given subdivisions. A portion of that construction required solving bilinear equations using a symbo...
Richard H. Bartels, Faramarz Samavati
COMGEO
2010
ACM
13 years 7 months ago
Exact join detection for convex polyhedra and other numerical abstractions
r Numerical Abstractions6 Roberto Bagnaraa , Patricia M. Hillb , Enea Zaffanellaa aDepartment of Mathematics, University of Parma, Italy bSchool of Computing, University of Leeds, ...
Roberto Bagnara, Patricia M. Hill, Enea Zaffanella
ICDE
2012
IEEE
267views Database» more  ICDE 2012»
11 years 10 months ago
Scalable and Numerically Stable Descriptive Statistics in SystemML
—With the exponential growth in the amount of data that is being generated in recent years, there is a pressing need for applying machine learning algorithms to large data sets. ...
Yuanyuan Tian, Shirish Tatikonda, Berthold Reinwal...