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We present a general approach for designing approximation algorithms for a fundamental class of geometric clustering problems in arbitrary dimensions. More specifically, our approach leads to simple randomized algorithms for the k -means, k -median and discrete k -means problems that yield...
We introduce a theoretical framework for discovering relationships between two database instances over distinct and unknown schemata. This framework is grounded in the context of data exchange . We formalize the problem of understanding the relationship between two instances as that of obtaining...
The LovÃ¡sz Local Lemma discovered by ErdÅs and LovÃ¡sz in 1975 is a powerful tool to non-constructively prove the existence of combinatorial objects meeting a prescribed collection of criteria. In 1991, JÃ³zsef Beck was the first to demonstrate that a constructive variant can be given...
We present the nested Chinese restaurant process (nCRP), a stochastic process that assigns probability distributions to ensembles of infinitely deep, infinitely branching trees. We show how this stochastic process can be used as a prior distribution in a Bayesian nonparametric model of document...
We present a novel clock synchronization algorithm and prove tight upper and lower bounds on the worst-case clock skew that may occur between any two participants in any given distributed system. More importantly, the worst-case clock skew between neighboring nodes is (asymptotically) at most a...
In the spirit of Landin, we present a calculus of dependent types to serve as the semantic foundation for a family of languages called data description languages . Such languages, which include pads, datascript, and packettypes, are designed to facilitate programming with ad hoc data , that is,...
A temporal constraint language is a set of relations that has a first-order definition in(Q;<), the dense linear order of the rational numbers. We present a complete complexity classification of the constraint satisfaction problem (CSP) for temporal constraint languages: if the constraint...
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