Progress in Computer Science and Applied Logic

Learning and Geometry: Computational Approaches

Editors: Kueker, David, Smith, Carl (Eds.)

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About this book

The field of computational learning theory arose out of the desire to for­ mally understand the process of learning. As potential applications to artificial intelligence became apparent, the new field grew rapidly. The learning of geo­ metric objects became a natural area of study. The possibility of using learning techniques to compensate for unsolvability provided an attraction for individ­ uals with an immediate need to solve such difficult problems. Researchers at the Center for Night Vision were interested in solving the problem of interpreting data produced by a variety of sensors. Current vision techniques, which have a strong geometric component, can be used to extract features. However, these techniques fall short of useful recognition of the sensed objects. One potential solution is to incorporate learning techniques into the geometric manipulation of sensor data. As a first step toward realizing such a solution, the Systems Research Center at the University of Maryland, in conjunction with the Center for Night Vision, hosted a Workshop on Learning and Geometry in January of 1991. Scholars in both fields came together to learn about each others' field and to look for common ground, with the ultimate goal of providing a new model of learning from geometrical examples that would be useful in computer vision. The papers in the volume are a partial record of that meeting.

Table of contents (8 chapters)

  • Learning by MDL

    Rissanen, J. (et al.)

    Pages 3-19

  • Pac Learning, Noise, and Geometry

    Sloan, Robert H.

    Pages 21-41

  • A Review of Some Extensions to the PAC Learning Model

    Kulkarni, Sanjeev R.

    Pages 43-64

  • Finite Point Sets and Oriented Matroids Combinatorics in Geometry

    Bokowski, Jürgen

    Pages 67-96

  • A Survey of Geometric Reasoning Using Algebraic Methods

    Chou, Shang-Ching (et al.)

    Pages 97-119

Buy this book

eBook $129.00
price for USA (gross)
  • ISBN 978-1-4612-4088-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.00
price for USA
  • ISBN 978-0-8176-3825-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $169.00
price for USA
  • ISBN 978-1-4612-8646-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Learning and Geometry: Computational Approaches
Editors
  • David Kueker
  • Carl Smith
Series Title
Progress in Computer Science and Applied Logic
Series Volume
14
Copyright
1996
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Boston
eBook ISBN
978-1-4612-4088-4
DOI
10.1007/978-1-4612-4088-4
Hardcover ISBN
978-0-8176-3825-2
Softcover ISBN
978-1-4612-8646-2
Series ISSN
2297-0576
Edition Number
1
Number of Pages
XIV, 212
Topics