AITopics | Bechar, Ikhlef

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Bechar, Ikhlef

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If you are looking for an answer to the question What is Artificial Intelligence? and you only have a minute, then here's the definition the Association for the Advancement of Artificial Intelligence offers on its home page: "the scientific understanding of the mechanisms underlying thought and intelligent behavior and their embodiment in machines."

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A Bernstein-type inequality for stochastic processes of quadratic forms of Gaussian variables

Bechar, Ikhlef

arXiv.org Machine LearningSep-19-2009

We introduce a Bernstein-type inequality which serves to uniformly control quadratic forms of gaussian variables. The latter can for example be used to derive sharp model selection criteria for linear estimation in linear regression and linear inverse problems via penalization, and we do not exclude that its scope of application can be made even broader.

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

arXiv.org Machine Learning

0909.3595

Country: Europe > France (0.15)

Genre: Research Report (0.40)

Technology: Information Technology > Artificial Intelligence > Machine Learning > Statistical Learning > Regression (0.35)

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