منابع مشابه
Analytic Comparison of Self-Organising Maps
SOMs have proven to be a very powerful tool for data analysis. However, comparing multiple SOMs trained on the same data set using different parameters or initialisations is still a difficult task. In most cases it is performed only via visual inspection or by utilising one of a range of quality measures to compare vector quantisation or topology preservation characteristics of the maps. Yet, c...
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In this expository article we discuss the theory of iteration for functions analytic in the unit disk, and bounded by one in modulus. This is a classical subject that started in the eighteen-hundreds and continues today. We will review the historical background, and then conclude with more recent work.
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Abstract. To a closed convex smooth curve in the plane the dual billiard transformation of its exterior corresponds: given a point outside of the curve, draw a tangent line to it through the point, and reflect the point in the point of tangency. We prove that if two curves are given, such that the corresponding dual billiard transformations commute, then the curves are concentric hornothetic el...
متن کاملCanonical Metrics of Commuting Maps
Let φ : X → X be a map on an projective variety. It is known that whenever φ∗ : Pic(X) ⊗ R → Pic(X) ⊗ R has an eigenvalue α > 1, we can build a canonical measure, a canonical height and a canonical metric associated to φ. In the present work, we establish the following fact: if two commuting maps φ, ψ : X → X satisfy these conditions, for eigenvalues α and β and the same eigenvector L, then the...
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A wealth of different feature sets for analysing music has been proposed and employed in several different Music Information Retrieval applications. In many cases, the feature sets are compared with each other based on benchmarks in supervised machine learning, such as automatic genre classification. While this approach makes features comparable for specific tasks, it doesn’t reveal much detail...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 2000
ISSN: 0030-8730
DOI: 10.2140/pjm.2000.194.413