Titlebook: Hopf Algebras and Their Generalizations from a Category Theoretical Point of View; Gabriella Böhm Book 2018 Springer Nature Switzerland AG

Ardent

(Hopf) Bialgebroids,oidal structures with respect to it on the endofunctor ., are related to the so-called .|.-coring structures on .. This results in a bijection between the bimonads with underlying functor . on the category of .-bimodules; and the . over the base algebra .. The bijection is shown to restrict to Hopf monads on one hand; and . on the other hand.

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Weak (Hopf) Bialgebras,s structures on the forgetful functor to the category of vector spaces. Second, bialgebroid structures on . over some base algebra ., together with separable Frobenius structures on .. Finally, weak bialgebra structures on .. The .-bialgebroid . is a Hopf algebroid if and only if the corresponding weak bialgebra . is a weak Hopf algebra.

MONY

(Hopf) Bimonoids in Duoidal Categories,n braided monoidal categories—such as classical Hopf algebras and Hopf group algebras—small categories, Hopf algebroids over commutative (but not arbitrary) base algebras, weak Hopf algebras of Chap. ., Hopf monads of Chap. . and certain coalgebra-enriched categories called Hopf categories.

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Gabriella Böhmy constructing ensembles from the models evaluated during the optimization. Our system won six out of ten phases of the first ChaLearn AutoML challenge, and our comprehensive analysis on over 100 diverse datasets shows that it substantially outperforms the previous state of the art in AutoML. We als

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Gabriella Böhmy constructing ensembles from the models evaluated during the optimization. Our system won six out of ten phases of the first ChaLearn AutoML challenge, and our comprehensive analysis on over 100 diverse datasets shows that it substantially outperforms the previous state of the art in AutoML. We als

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