AITopics | Akama, Yohji

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Akama, Yohji

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VC dimension of ellipsoids

Akama, Yohji, Irie, Kei

arXiv.org Machine LearningSep-20-2011

We will establish that the VC dimension of the class of d-dimensional ellipsoids is (d^2+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^2+3d)/2. Keywords: VC dimension; finite dimensional ellipsoid; Gaussian mixture model

artificial intelligence, ellipsoid, machine learning, (16 more...)

arXiv.org Machine Learning

1109.4347

Country: Asia > Japan > Honshū > Tōhoku (0.14)

Genre: Research Report (0.40)

Technology: Information Technology > Artificial Intelligence > Machine Learning > Computational Learning Theory (1.00)

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