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» Communication Complexity Lower Bounds by Polynomials
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85
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FOCS
2006
IEEE
15 years 3 months ago
Higher Lower Bounds for Near-Neighbor and Further Rich Problems
We convert cell-probe lower bounds for polynomial space into stronger lower bounds for near-linear space. Our technique applies to any lower bound proved through the richness meth...
Mihai Patrascu, Mikkel Thorup
77
Voted
FOCS
2003
IEEE
15 years 2 months 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
COCOON
2007
Springer
15 years 3 months ago
"Resistant" Polynomials and Stronger Lower Bounds for Depth-Three Arithmetical Formulas
We derive quadratic lower bounds on the ∗-complexity of sum-of-products-of-sums (ΣΠΣ) formulas for classes of polynomials f that have too few partial derivatives for the techn...
Maurice J. Jansen, Kenneth W. Regan
CORR
2010
Springer
185views Education» more  CORR 2010»
14 years 9 months ago
A new exponential separation between quantum and classical one-way communication complexity
We present a new example of a partial boolean function whose one-way quantum communication complexity is exponentially lower than its one-way classical communication complexity. T...
Ashley Montanaro
FOCS
2004
IEEE
15 years 1 months ago
An Optimal Randomised Cell Probe Lower Bound for Approximate Nearest Neighbour Searching
We consider the approximate nearest neighbour search problem on the Hamming cube {0, 1}d. We show that a randomised cell probe algorithm that uses polynomial storage and word size...
Amit Chakrabarti, Oded Regev