[seqfan] So long as we are brainstorming superseeker enhancements: "There are regular sequences for which there is general agreement on how to continue..."

[Jonathan Post]

Cross-lists for Tue, 17 Aug 10

[6]  arXiv:cs/0508007 (cross-list from cs.CV) [pdf]
    Title: Regularity of Position Sequences
    Authors: Manfred Harringer
    Comments: 14 pages
    Subjects: Computer Vision and Pattern Recognition (cs.CV);
Artificial Intelligence (cs.AI); Learning (cs.LG); Neurons and
Cognition (q-bio.NC)

    A person is given a numbered sequence of positions on a sheet of
paper. The person is asked, "Which will be the next (or the next after
that) position?" Everyone has an opinion as to how he or she would
proceed. There are regular sequences for which there is general
agreement on how to continue. However, there are less regular
sequences for which this assessment is less certain. There are
sequences for which every continuation is perceived to be arbitrary. I
would like to present a mathematical model that reflects these
opinions and perceptions with the aid of a valuation function. It is
necessary to apply a rich set of invariant features of position
sequences to ensure the quality of this model. All other properties of
the model are arbitrary.