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CORR
2010
Springer
116views Education» more  CORR 2010»
15 years 4 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 4 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 8 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 8 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 5 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