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Start date: 1990 × Publisher: Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach × Subject: classification ×

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Now showing 1 - 2 of 2
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    The Ingram Conjecture
    (Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach, 2010) Barge, M.; Bruin, H.; Stimac, S.
    We prove the Ingram Conjecture, i.e., we show that the inverse limit spaces of ev- ery two tent maps with di®erent slopes in the interval [1; 2] are non-homeomorphic. Based on the structure obtained from the proof, we also show that every self- homeomorphism of the inverse limit space of the tent map is pseudo-isotopic, on the core, to some power of the shift homeomorphism.
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    Exact rate of convergence of k-nearest-neighbor classification rule
    (Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach, 2017) Györfi, László; Döring, Maik; Walk, Harro
    A binary classification problem is considered. The excess error probability of the k-nearest neighbor classification rule according to the error probability of the Bayes decision is revisited by a decomposition of the excess error probability into approximation and estimation error. Under a weak margin condition and under a modified Lipschitz condition, tight upper bounds are presented such that one avoids the condition that the feature vector is bounded.