Automatically assigned DDC number: 00631

Manually assigned DDC number: 00631

Number of references: 4

Title: Learning Unions of Rectangles with Queries

Author:

Author:

Subject: Zhixiang Chen,Steven Homer Learning Unions of Rectangles with Queries

Description: We investigate the efficient learnability of unions of k rectangles in the discrete plane f1; : : : ; ng 2 with equivalence and membership queries. We exhibit a learning algorithm that learns any union of k rectangles with O(k 3 log n) queries, while the time complexity of this algorithm is bounded by O(k 5 log n). We design our learning algorithm by finding "corners" and "edges" for rectangles contained in the target concept and then constructing the target concept from those "corners" and "edges". Our result provides a first approach to on-line learning of nontrivial subclasses of unions of intersections of halfspaces with equivalence and membership queries. 1 Introduction Learning unions of rectangles is closely related to other central problems in machine learning theory. It is a generalization of learning DNF (disjunctive normal form) formulas and a special case of unions of intersections of half-spaces in f1; : : : ; ng d , two of the major open problems in computatio...

Contributor: The Pennsylvania State University CiteSeer Archives

Publisher: unknown

Date: 1994-01-11

Pubyear: 0

Format: ps

Identifier: http://citeseer.ist.psu.edu/140796.html

Source: http://www.cs.bu.edu/techreports/93-010-learning-rect.ps.Z

Language: en

Relation:

Relation:

Relation:

Relation:

Rights: unrestricted

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