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Electronic Colloquium on Computational Complexity

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TR11-114 | 8th August 2011
Varun Kanade

Computational Bottlenecks for Evolvability

Valiant (2007) proposed a computational model for evolution and suggested that evolvability be studied in the framework of computational learning theory. Feldman (2008) showed that Valiant’s evolution model is equivalent to the correlational statistical query (CSQ) learning model, which is a restricted setting of the statistical query (SQ) model. Evolvability ... more >>>


TR11-113 | 11th August 2011
Emanuele Viola

Reducing 3XOR to listing triangles, an exposition

The 3SUM problem asks if there are three integers $a,b,c$ summing to $0$ in a given set of $n$ integers of magnitude poly($n$). Patrascu (STOC '10) reduces solving 3SUM in time $n^{2-\Omega(1)}$ to listing $m$ triangles in a graph with $m$ edges in time $m^{4/3-\Omega(1)}$.
In this note we present ... more >>>


TR11-112 | 10th August 2011
Dana Moshkovitz

The Projection Games Conjecture and The NP-Hardness of ln n-Approximating Set-Cover

In this paper we put forward a conjecture: an instantiation of the Sliding Scale Conjecture of Bellare, Goldwasser, Lund and Russell to projection games. We refer to this conjecture as the Projection Games Conjecture.

We further suggest the research agenda of establishing new hardness of approximation results based on the ... more >>>



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