At&t Intellectual Property I, LP

Andrew Iain Shaw McGregor

Graham Cormode

Minos N Garofalakis

Amit Chakrabarti

Ranganath Kondapally

Antonios Deligiannakis

A method for validating outsourced processing of a priority queue includes configuring a verifier for independent, single-pass processing of priority queue operations that include insertion operations and extraction operations and priorities associated with each operation. The verifier may be configured to validate N operations using a memory space having a size that is proportional to the square root of N using an algorithm to buffer the operations as a series of R epochs. Extractions associated with each individual epoch may be monitored using arrays Y and Z. Insertions for the epoch k may monitored using arrays X and Z. The processing of the priority queue operations may be verified based on the equality or inequality of the arrays X, Y, and Z. Hashed values for the arrays may be used to test their equality to conserve storage requirements.

Validation of priority queue processing

Methods and apparatus for representing probabilistic data using a probabilistic histogram are disclosed. An example method comprises partitioning a plurality of ordered data items into a plurality of buckets, each of the data items capable of having a data value from a plurality of possible data values with a probability characterized by a respective individual probability distribution function (PDF), each bucket associated with a respective subset of the ordered data items bounded by a respective beginning data item and a respective ending data item, and determining a first representative PDF for a first bucket associated with a first subset of the ordered data items by partitioning the plurality of possible data values into a first plurality of representative data ranges and respective representative probabilities based on an error between the first representative PDF and a first plurality of individual PDFs characterizing the first subset of the ordered data items.

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Amherst, MA, United States of America

Andrew Iain Shaw McGregor