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84
Voted
STOC
2000
ACM
97views Algorithms» more  STOC 2000»
15 years 2 months ago
Quantum lower bounds by quantum arguments
We propose a new method for proving lower bounds on quantum query algorithms. Instead of a classical adversary that runs the algorithm with one input and then modifies the input,...
Andris Ambainis
STACS
1999
Springer
15 years 1 months ago
Lower Bounds for Dynamic Algebraic Problems
Abstract. We consider dynamic evaluation of algebraic functions (matrix multiplication, determinant, convolution, Fourier transform, etc.) in the model of Reif and Tate; i.e., if f...
Gudmund Skovbjerg Frandsen, Johan P. Hansen, Peter...
COLT
2007
Springer
15 years 3 months ago
A Lower Bound for Agnostically Learning Disjunctions
We prove that the concept class of disjunctions cannot be pointwise approximated by linear combinations of any small set of arbitrary real-valued functions. That is, suppose there ...
Adam R. Klivans, Alexander A. Sherstov
77
Voted
STOC
2005
ACM
101views Algorithms» more  STOC 2005»
15 years 10 months ago
Lower bounds for k-DNF resolution on random 3-CNFs
We prove exponential lower bounds for the refutation of a random 3-CNF with linear number of clauses by k-DNF Resolution for k log n/ log log n. For this we design a specially ta...
Michael Alekhnovich
STOC
2004
ACM
142views Algorithms» more  STOC 2004»
15 years 10 months ago
Lower bounds for local search by quantum arguments
The problem of finding a local minimum of a black-box function is central for understanding local search as well as quantum adiabatic algorithms. For functions on the Boolean hype...
Scott Aaronson