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» Proving Bounds on Real-Valued Functions with Computations
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CSL
2005
Springer
15 years 3 months ago
Computing with Sequences, Weak Topologies and the Axiom of Choice
We study computability on sequence spaces, as they are used in functional analysis. It is known that non-separable normed spaces cannot be admissibly represented on Turing machines...
Vasco Brattka, Matthias Schröder
COCO
2003
Springer
145views Algorithms» more  COCO 2003»
15 years 3 months ago
Hardness vs. Randomness within Alternating Time
We study the complexity of building pseudorandom generators (PRGs) with logarithmic seed length from hard functions. We show that, starting from a function f : {0, 1}l → {0, 1} ...
Emanuele Viola
FCT
2003
Springer
15 years 3 months ago
Complexity of Approximating Closest Substring Problems
The closest substring problem, where a short string is sought that minimizes the number of mismatches between it and each of a given set of strings, is a minimization problem with ...
Patricia A. Evans, Andrew D. Smith
SIGECOM
2008
ACM
155views ECommerce» more  SIGECOM 2008»
14 years 10 months ago
Tight information-theoretic lower bounds for welfare maximization in combinatorial auctions
We provide tight information-theoretic lower bounds for the welfare maximization problem in combinatorial auctions. In this problem, the goal is to partition m items among k bidde...
Vahab S. Mirrokni, Michael Schapira, Jan Vondr&aac...
APPROX
2005
Springer
111views Algorithms» more  APPROX 2005»
15 years 3 months ago
Sampling Bounds for Stochastic Optimization
A large class of stochastic optimization problems can be modeled as minimizing an objective function f that depends on a choice of a vector x ∈ X, as well as on a random external...
Moses Charikar, Chandra Chekuri, Martin Pál