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FOCS
2009
IEEE
14 years 2 months ago
The Quantum and Classical Complexity of Translationally Invariant Tiling and Hamiltonian Problems
— We study the complexity of a class of problems involving satisfying constraints which remain the same under translations in one or more spatial directions. In this paper, we sh...
Daniel Gottesman, Sandy Irani
FOCS
2009
IEEE
14 years 2 months ago
Approximation Algorithms for Multicommodity-Type Problems with Guarantees Independent of the Graph Size
— Linial, London and Rabinovich [16] and Aumann and Rabani [3] proved that the min-cut max-flow ratio for general maximum concurrent flow problems (when there are k commodities...
Ankur Moitra
FOCS
2009
IEEE
14 years 2 months ago
How to Round Any CSP
Prasad Raghavendra, David Steurer
FOCS
2009
IEEE
14 years 2 months ago
Agnostic Learning of Monomials by Halfspaces Is Hard
— We prove the following strong hardness result for learning: Given a distribution on labeled examples from the hypercube such that there exists a monomial (or conjunction) consi...
Vitaly Feldman, Venkatesan Guruswami, Prasad Ragha...
FOCS
2009
IEEE
14 years 2 months ago
A Complete Characterization of Statistical Query Learning with Applications to Evolvability
Statistical query (SQ) learning model of Kearns is a natural restriction of the PAC learning model in which a learning algorithm is allowed to obtain estimates of statistical prop...
Vitaly Feldman
FOCS
2009
IEEE
14 years 2 months ago
Regularity Lemmas and Combinatorial Algorithms
— We present new combinatorial algorithms for Boolean matrix multiplication (BMM) and preprocessing a graph to answer independent set queries. We give the first asymptotic impro...
Nikhil Bansal, Ryan Williams
FOCS
2009
IEEE
14 years 2 months ago
Reducibility among Fractional Stability Problems
— In a landmark paper [32], Papadimitriou introduced a number of syntactic subclasses of TFNP based on proof styles that (unlike TFNP) admit complete problems. A recent series of...
Shiva Kintali, Laura J. Poplawski, Rajmohan Rajara...
FOCS
2009
IEEE
14 years 2 months ago
Extensions to the Method of Multiplicities, with Applications to Kakeya Sets and Mergers
We extend the “method of multiplicities” to get the following results, of interest in combinatorics and randomness extraction.
Zeev Dvir, Swastik Kopparty, Shubhangi Saraf, Madh...
FOCS
2009
IEEE
14 years 2 months ago
Two-Message Quantum Interactive Proofs Are in PSPACE
We prove that QIP(2), the class of problems having two-message quantum interactive proof systems, is a subset of PSPACE. This relationship is obtained by means of an efficient pa...
Rahul Jain, Sarvagya Upadhyay, John Watrous