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COCO
1991
Springer
112views Algorithms» more  COCO 1991»
15 years 9 months ago
Randomized vs.Deterministic Decision Tree Complexity for Read-Once Boolean Functions
We consider the deterministic and the randomized decision tree complexities for Boolean functions, denoted DC(f) and RC(f), respectively. A major open problem is how small RC(f) ca...
Rafi Heiman, Avi Wigderson
COLT
2007
Springer
16 years 9 hour 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
FOCS
2008
IEEE
16 years 9 days ago
Linear Level Lasserre Lower Bounds for Certain k-CSPs
We show that for k ≥ 3 even the Ω(n) level of the Lasserre hierarchy cannot disprove a random k-CSP instance over any predicate type implied by k-XOR constraints, for example ...
Grant Schoenebeck
APPROX
2008
Springer
89views Algorithms» more  APPROX 2008»
15 years 7 months ago
Quantum and Randomized Lower Bounds for Local Search on Vertex-Transitive Graphs
We study the problem of local search on a graph. Given a real-valued black-box function f on the graph's vertices, this is the problem of determining a local minimum of f--a v...
Hang Dinh, Alexander Russell
169
Voted
SODA
2010
ACM
235views Algorithms» more  SODA 2010»
16 years 3 months ago
Algorithmic Lower Bounds for Problems Parameterized by Clique-width
Many NP-hard problems can be solved efficiently when the input is restricted to graphs of bounded tree-width or clique-width. In particular, by the celebrated result of Courcelle,...
Fedor V. Fomin, Petr A. Golovach, Daniel Lokshtano...