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STOC
2000
ACM
97views Algorithms» more  STOC 2000»
14 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
14 years 2 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
14 years 4 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
STOC
2005
ACM
101views Algorithms» more  STOC 2005»
14 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»
14 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