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» The Complexity of Polynomials and Their Coefficient Function...
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FOCS
2003
IEEE
14 years 21 days ago
Polynomial Degree vs. Quantum Query Complexity
The degree of a polynomial representing (or approximating) a function f is a lower bound for the quantum query complexity of f. This observation has been a source of many lower bo...
Andris Ambainis
CDC
2010
IEEE
118views Control Systems» more  CDC 2010»
13 years 2 months ago
Explicit solutions for root optimization of a polynomial family
Abstract-- Given a family of real or complex monic polynomials of fixed degree with one fixed affine constraint on their coefficients, consider the problem of minimizing the root r...
Vincent D. Blondel, Mert Gurbuzbalaban, Alexandre ...
CSR
2006
Springer
13 years 11 months ago
Conjugacy and Equivalence of Weighted Automata and Functional Transducers
We show that two equivalent K-automata are conjugate to a third one, when K is equal to B, N, Z, or any (skew) field and that the same holds true for functional tranducers as well....
Marie-Pierre Béal, Sylvain Lombardy, Jacque...
EJC
2010
13 years 7 months ago
Descent polynomials for permutations with bounded drop size
Abstract. Motivated by juggling sequences and bubble sort, we examine permutations on the set {1, 2, . . . , n} with d descents and maximum drop size k. We give explicit formulas f...
Fan R. K. Chung, Anders Claesson, Mark Dukes, Rona...
TCS
2002
13 years 7 months ago
Complexity measures and decision tree complexity: a survey
We discuss several complexity measures for Boolean functions: certi cate complexity, sensitivity, block sensitivity, and the degree of a representing or approximating polynomial. ...
Harry Buhrman, Ronald de Wolf