How and when do children understand the concept of cardinality? The Give-X task (Wynn, 1992) is used as a measure of children’s understanding of this counting principle. While poor performance on the Give-X task could arise from lack of understanding, we hypothesize it might also be due to the demands of coordinating counting and set construction. We designed an alternative task that lessens pe...

Given some deal of cards, it is possible to communicate your hand to another player without yet another player learning any of your cards. Every solution to this problem consists of a sequence of safe communications, an interesting new form of update. Certain unsafe communications turn out to be unsuccessful updates. Each communication can be about a set of alternative card deals only, and even...

Erman prefaced his presentation with the disclaimer that “the talk will be mostly dominated by Genomics,” and the discussion quickly lead into the proverbial security-oriented rabbit hole; genomic sequence data is yet another sensitive source, perhaps more so than others, and thus requires adequate protection by way of confidentiality. But just how sensitive is the genomic data? Erman led the d...

Abstract We give a short proof of the free analogue of the Talagrand inequality for the transportation cost to the semicircular which was originally proved in [1]. The proof is based on a convexity argument and is in the spirit of the original Talagrand’s proof from [8]. We also discuss the convergence, fluctuations and large deviations of the energy of the eigenvalues of β ensembles, which giv...

A new approach to the conversion of the sampled-data H problem to an equivalent pure discrete-time, lumped-variables counterpart, is presented. The approach is independent of controller causality constraints. In particular, it is applicable to problems, such as preview tracking and fixed-lag smoothing, where existing reduction methods fail. We demonstrate this by solving Open Problem no. 51 fro...

This paper describes an efficient framework for implementing global illumination techniques, using object oriented and component object methods. This framework facilitates in the development of new techniques or the implementation of existing techniques. By providing a flexible but comprehensive geometric and numeric architecture. The framework abstracts programmers and researchers from impleme...

This short note presents a peculiar generalization of the Riemann hypothesis, as the action of the permutation group on the elements of continued fractions. The problem is di cult to attack through traditional analytic techniques, and thus this note focuses on providing a numerical survey. These results indicate a broad class of previously unexamined functions may obey the Riemann hypothesis in...

Discovering correspondences between schema elements is a crucial task for data integration. Most matching tools are semi-automatic, e.g. an expert must tune some parameters (thresholds, weights, etc.). They mainly use several methods to combine and aggregate similarity measures. However, their quality results often decrease when one requires to integrate a new similarity measure or when matchin...

· Despite a significant influx of charitable dollars over the last 10 to 20 years, solutions to complex social problems remain elusive, while philanthropy has been facing growing pressure to account for its tax-free dollars; to demonstrate, replicate, and scale success; and to be transparent about failed social investments. · When foundations and their nonprofit partners ignore a failure and mo...