Property testing: a learning theory perspective

  • Authors:
  • Dana Ron

  • Affiliations:
  • Department of EE-Systems, Tel-Aviv University, Ramat Aviv, Israel

  • Venue:
  • COLT'07 Proceedings of the 20th annual conference on Learning theory
  • Year:
  • 2007
  • Testing halfspaces

    SODA '09 Proceedings of the twentieth Annual ACM-SIAM Symposium on Discrete Algorithms

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Abstract

Property testing [15,9] is the study of the following class of problems. Given the ability to perform local queries concerning a particular object (e.g., a function, or a graph), the problem is to determine whether the object has a predetermined global property (e.g., linearity or bipartiteness), or differs significantly from any object that has the property. In the latter case we say it is far from (having) the property. The algorithm is allowed a probability of failure, and typically it inspects only a small part of the whole object.