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» Lower Bounds Using Kolmogorov Complexity
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CSR
2008
Springer
13 years 9 months ago
Cracks in the Defenses: Scouting Out Approaches on Circuit Lower Bounds
Razborov and Rudich identified an imposing barrier that stands in the way of progress toward the goal of proving superpolynomial lower bounds on circuit size. Their work on "n...
Eric Allender
SODA
2004
ACM
87views Algorithms» more  SODA 2004»
13 years 9 months ago
Optimal space lower bounds for all frequency moments
We prove that any one-pass streaming algorithm which ( , )-approximates the kth frequency moment Fk, for any real k = 1 and any = 1 m , must use 1 2 bits of space, where m is th...
David P. Woodruff
CORR
2008
Springer
97views Education» more  CORR 2008»
13 years 7 months ago
Lower bounds for adaptive linearity tests
Linearity tests are randomized algorithms which have oracle access to the truth table of some function f, and are supposed to distinguish between linear functions and functions whi...
Shachar Lovett
STACS
1999
Springer
13 years 11 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...
CORR
2010
Springer
162views Education» more  CORR 2010»
13 years 4 months ago
Cross-Composition: A New Technique for Kernelization Lower Bounds
We introduce a new technique for proving kernelization lower bounds, called cross-composition. A classical problem L cross-composes into a parameterized problem Q if an instance o...
Hans L. Bodlaender, Bart M. P. Jansen, Stefan Krat...