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ICDM
2005
IEEE
143views Data Mining» more  ICDM 2005»
15 years 3 months ago
An Optimal Linear Time Algorithm for Quasi-Monotonic Segmentation
Monotonicity is a simple yet significant qualitative characteristic. We consider the problem of segmenting an array in up to K segments. We want segments to be as monotonic as po...
Daniel Lemire, Martin Brooks, Yuhong Yan
EUROCRYPT
2004
Springer
15 years 3 months ago
Construction of Secure Random Curves of Genus 2 over Prime Fields
For counting points of Jacobians of genus 2 curves defined over large prime fields, the best known method is a variant of Schoof’s algorithm. We present several improvements on...
Pierrick Gaudry, Éric Schost
STOC
2007
ACM
132views Algorithms» more  STOC 2007»
15 years 10 months ago
On the convergence of Newton's method for monotone systems of polynomial equations
Monotone systems of polynomial equations (MSPEs) are systems of fixed-point equations X1 = f1(X1, . . . , Xn), . . . , Xn = fn(X1, . . . , Xn) where each fi is a polynomial with p...
Stefan Kiefer, Michael Luttenberger, Javier Esparz...
ISSAC
2005
Springer
115views Mathematics» more  ISSAC 2005»
15 years 3 months ago
On the complexity of factoring bivariate supersparse (Lacunary) polynomials
We present algorithms that compute the linear and quadratic factors of supersparse (lacunary) bivariate polynomials over the rational numbers in polynomial-time in the input size....
Erich Kaltofen, Pascal Koiran
ASPDAC
2008
ACM
200views Hardware» more  ASPDAC 2008»
14 years 11 months ago
Non-Gaussian statistical timing analysis using second-order polynomial fitting
In the nanometer manufacturing region, process variation causes significant uncertainty for circuit performance verification. Statistical static timing analysis (SSTA) is thus dev...
Lerong Cheng, Jinjun Xiong, Lei He