منابع مشابه
Quadratic Upper Bound for Recursive Teaching Dimension of Finite VC Classes
In this work we study the quantitative relation between the recursive teaching dimension (RTD) and the VC dimension (VCD) of concept classes of finite sizes. The RTD of a concept class C ⊆ {0, 1}, introduced by Zilles et al. (2011), is a combinatorial complexity measure characterized by the worst-case number of examples necessary to identify a concept in C according to the recursive teaching mo...
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The recursive teaching dimension (RTD) of a concept class C ⊆ {0, 1}, introduced by Zilles et al. [ZLHZ11], is a complexity parameter measured by the worst-case number of labeled examples needed to learn any target concept of C in the recursive teaching model. In this paper, we study the quantitative relation between RTD and the well-known learning complexity measure VC dimension (VCD), and imp...
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متن کاملVC dimension of ellipsoids
We will establish that the vc dimension of the class of d-dimensional ellipsoids is (d +3d)/2, and that maximum likelihood estimate with N -component d-dimensional Gaussian mixture models induces a geometric class having vc dimension at least N(d + 3d)/2.
متن کاملTeaching Dimension versus VC Dimension
In this report, we give a brief survey of various results relating the Teaching Dimension and VC-Dimension. The concept of Teaching Dimension was first introduced by Goldman and Kearns, 1995 and Sinohara and Miyano, 1991. In this model, an algorithm tries to learn the hidden concept c from examples, called the teaching set, which uniquely identifies c from the rest of the concepts in the concep...
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ژورنال
عنوان ژورنال: Archive for Mathematical Logic
سال: 2015
ISSN: 0933-5846,1432-0665
DOI: 10.1007/s00153-015-0424-0