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CORR
2010
Springer
116views Education» more  CORR 2010»
15 years 6 months ago
Arithmetic circuits: the chasm at depth four gets wider
In their paper on the "chasm at depth four", Agrawal and Vinay have shown that polynomials in m variables of degree O(m) which admit arithmetic circuits of size 2o(m) al...
Pascal Koiran
FOCM
2006
59views more  FOCM 2006»
15 years 6 months ago
Newton-Hensel Interpolation Lifting
The main result of this paper is a new version of Newton-Hensel lifting that relates to interpolation questions. It allows one to lift polynomials in Z[x] from information modulo a...
Martin Avendano, Teresa Krick, Ariel Pacetti
ESA
1999
Springer
148views Algorithms» more  ESA 1999»
15 years 10 months ago
Approximation Schemes for Scheduling on Uniformly Related and Identical Parallel Machines
We give a polynomial approximation scheme for the problem of scheduling on uniformly related parallel machines for a large class of objective functions that depend only on the mac...
Leah Epstein, Jiri Sgall
SIGGRAPH
1994
ACM
15 years 10 months ago
Smooth spline surfaces over irregular meshes
An algorithm for creating smooth spline surfaces over irregular meshes is presented. The algorithm is a generalization of quadratic B-splines; that is, if a mesh is (locally) regu...
Charles T. Loop
DAGSTUHL
2007
15 years 7 months ago
Diagonal Circuit Identity Testing and Lower Bounds
In this paper we give the first deterministic polynomial time algorithm for testing whether a diagonal depth-3 circuit C(x1, . . . , xn) (i.e. C is a sum of powers of linear funct...
Nitin Saxena