All reports by Author Yi Wu:

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TR10-185
| 2nd December 2010
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Vitaly Feldman, Venkatesan Guruswami, Prasad Raghavendra, Yi Wu#### Agnostic Learning of Monomials by Halfspaces is Hard

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TR10-177
| 16th November 2010
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Venkatesan Guruswami, Prasad Raghavendra, Rishi Saket, Yi Wu#### Bypassing UGC from some optimal geometric inapproximability results

Revisions: 1

Vitaly Feldman, Venkatesan Guruswami, Prasad Raghavendra, Yi Wu

We prove the following strong hardness result for learning: Given a distribution of labeled examples from the hypercube such that there exists a monomial consistent with $(1-\epsilon)$ of the examples, it is $\mathrm{NP}$-hard to find a halfspace that is correct on $(1/2+\epsilon)$ of the examples, for arbitrary constants $\epsilon ... more >>>

Venkatesan Guruswami, Prasad Raghavendra, Rishi Saket, Yi Wu

The Unique Games conjecture (UGC) has emerged in recent years as the starting point for several optimal inapproximability results. While for none of these results a reverse reduction to Unique Games is known, the assumption of bijective projections in the Label Cover instance seems critical in these proofs. In this ... more >>>