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Bongard problems are a fascinating microdomain in which each problem consists of a series of graphical
examples of things belonging to a category, and other things not belonging to that category. The
object is to describe the category elegantly. This is not always trivial. Harry Foundalis has written an extremely useful overview of Bongard problems and is currently working on a program which solves them. This program starts with bitmapped images, performs pattern recognition on a visual level, and then continues to perform pattern recognition on a conceptual level. In this simple example Bongard problem, the patterns on the left
exhibit a common feature, while those on the right exhibit
the negation of that feature. Can you see what the feature is?If this problem tickles your fancy, go to Harry's page, where you will find a great number of Bongard problems of all levels of difficulty. There are a few which Harry himself has yet to solve. He'd be happy to hear your opinions. |
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