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» Polynomial Interpretations and the Complexity of Algorithms
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INFOCOM
2007
IEEE
15 years 3 months ago
Polynomial Complexity Algorithms for Full Utilization of Multi-Hop Wireless Networks
— In this paper, we propose and study a general framework that allows the development of distributed mechanisms to achieve full utilization of multi-hop wireless networks. In par...
Atilla Eryilmaz, Asuman E. Ozdaglar, Eytan Modiano
ISSAC
2011
Springer
243views Mathematics» more  ISSAC 2011»
14 years 11 days ago
Practical polynomial factoring in polynomial time
There are several algorithms for factoring in Z[x] which have a proven polynomial complexity bound such as Sch¨onhage of 1984, Belabas/Kl¨uners/van Hoeij/Steel of 2004, and vanH...
William Hart, Mark van Hoeij, Andrew Novocin
COLT
2000
Springer
15 years 1 months ago
Average-Case Complexity of Learning Polynomials
The present paper deals with the averagecase complexity of various algorithms for learning univariate polynomials. For this purpose an appropriate framework is introduced. Based o...
Frank Stephan, Thomas Zeugmann
FOCM
2008
76views more  FOCM 2008»
14 years 9 months ago
On Smale's 17th Problem: A Probabilistic Positive Solution
Smale's 17th Problem asks "Can a zero of n complex polynomial equations in n unknowns be found approximately, on the average [for a suitable probability measure on the s...
Carlos Beltrán, Luis Miguel Pardo
ICASSP
2011
IEEE
14 years 1 months ago
Rank-deficient quadratic-form maximization over M-phase alphabet: Polynomial-complexity solvability and algorithmic developments
The maximization of a positive (semi)definite complex quadratic form over a finite alphabet is NP-hard and achieved through exhaustive search when the form has full rank. Howeve...
Anastasios T. Kyrillidis, George N. Karystinos