標(biāo)題: Titlebook: Hopf Algebras and Their Generalizations from a Category Theoretical Point of View; Gabriella B?hm Book 2018 Springer Nature Switzerland AG [打印本頁] 作者: 譴責(zé) 時間: 2025-3-21 18:28
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作者: BUCK 時間: 2025-3-21 22:22 作者: pus840 時間: 2025-3-22 01:01 作者: Vertebra 時間: 2025-3-22 08:21
Solutions to the Exercises,This chapter presents fully worked solutions to the exercises in the previous chapters of this book.作者: 大包裹 時間: 2025-3-22 12:35 作者: 謙虛的人 時間: 2025-3-22 16:47
Hopf Algebras and Their Generalizations from a Category Theoretical Point of View978-3-319-98137-6Series ISSN 0075-8434 Series E-ISSN 1617-9692 作者: 系列 時間: 2025-3-22 18:10
ed, the aircraft’s trajectory must be planned carefully and optimized as there are inevitable remaining risks which should be minimized when flying over sparsely populated areas. The risk may be mitigated by a safe termination of the flight if circumstances permit. Also, the probability of violating作者: 懶惰民族 時間: 2025-3-22 23:56
Gabriella B?hmed, the aircraft’s trajectory must be planned carefully and optimized as there are inevitable remaining risks which should be minimized when flying over sparsely populated areas. The risk may be mitigated by a safe termination of the flight if circumstances permit. Also, the probability of violating作者: Panacea 時間: 2025-3-23 05:26
Gabriella B?hmhe shelf by non-experts. To be effective in practice, such systems need to automatically choose a good algorithm and feature preprocessing steps for a new dataset at hand, and also set their respective hyperparameters. Recent work has started to tackle this . problem with the help of efficient Bayes作者: 雪上輕舟飛過 時間: 2025-3-23 07:30
Gabriella B?hmauthor who produced most of the numerical analyses and plots.) (NIPS 2015 – ICML 2016) consisted of six rounds of a machine learning competition of progressive difficulty, subject to limited computational resources. It was followed bya one-round AutoML challenge (PAKDD 2018). The AutoML setting diff作者: 暗語 時間: 2025-3-23 11:37 作者: Bronchial-Tubes 時間: 2025-3-23 14:18
Gabriella B?hmhe shelf by non-experts. To be effective in practice, such systems need to automatically choose a good algorithm and feature preprocessing steps for a new dataset at hand, and also set their respective hyperparameters. Recent work has started to tackle this . problem with the help of efficient Bayes作者: Affectation 時間: 2025-3-23 21:37
Gabriella B?hmhe shelf by non-experts. To be effective in practice, such systems need to automatically choose a good algorithm and feature preprocessing steps for a new dataset at hand, and also set their respective hyperparameters. Recent work has started to tackle this . problem with the help of efficient Bayes作者: 可忽略 時間: 2025-3-24 02:10 作者: Arrhythmia 時間: 2025-3-24 04:42
Gabriella B?hmted at introductory and intermediate audiencesThis book disseminates and promotes the recent research progress and frontier development on AutoML and meta-learning as well as their applications on computer vision, natural language processing, multimedia and data mining related fields. These are exci作者: obeisance 時間: 2025-3-24 06:37
Gabriella B?hmted at introductory and intermediate audiencesThis book disseminates and promotes the recent research progress and frontier development on AutoML and meta-learning as well as their applications on computer vision, natural language processing, multimedia and data mining related fields. These are exci作者: invulnerable 時間: 2025-3-24 12:42 作者: 中止 時間: 2025-3-24 15:39
Introduction,s made possible by their common feature of a closed monoidal structure of the category of modules—lifted from different base categories in each case of the discussed Hopf algebra-like structures. In category theoretical terms, liftings of (closed) monoidal structures to module categories correspond 作者: 核心 時間: 2025-3-24 19:24 作者: irritation 時間: 2025-3-25 00:33
(Hopf) Bimonads,m are studied. The general theory of lifting (explained in Chap. .) is applied to the functors and natural transformations constituting the monoidal structure of the base category. A bijection is proven between the liftings of the monoidal structure of the base category to the Eilenberg-Moore catego作者: 尊重 時間: 2025-3-25 06:45 作者: 戰(zhàn)勝 時間: 2025-3-25 09:06
(Hopf) Bialgebroids,eplaced by the category of bimodules over some algebra .; or, isomorphically, the category of left modules over .???... Those endofunctors on it are considered which are induced, as in Example . 4, by the .???..-module tensor product with a fixed .???..-bimodule .. The monad structures on this funct作者: CROW 時間: 2025-3-25 14:58 作者: Brochure 時間: 2025-3-25 19:32
(Hopf) Bimonoids in Duoidal Categories, the morphisms in the category and all natural transformations between the induced functors. Those monads are identified which correspond to monoids; and those opmonoidal functors are identified which correspond to comonoids. This leads to an equivalence between bimonoids in a duoidal category and b作者: Mendicant 時間: 2025-3-25 23:39 作者: glamor 時間: 2025-3-26 00:14 作者: 修剪過的樹籬 時間: 2025-3-26 06:34
(Hopf) Bialgebras,. This results in a bijection between the bialgebras; and the induced bimonads on the category of vector spaces. The bijection is shown to restrict to Hopf algebras on one hand; and Hopf monads on the other hand.作者: 鞭打 時間: 2025-3-26 10:46 作者: Host142 時間: 2025-3-26 16:31
Introduction,eneralizations of Hopf algebra as Hopf monad structures on suitable functors. The covered examples include classical Hopf algebras, Hopf monoids in duoidal (in particular braided monoidal) categories, Hopf algebroids and (in particular) weak Hopf algebras.作者: Meditate 時間: 2025-3-26 20:43
(Hopf) Bimonads,ient and necessary condition is obtained for the lifting of the closed structure as well, in the form of the invertibility of a canonical natural transformation. A Hopf monad is defined as a bimonad for which this natural transformation is invertible.作者: Ardent 時間: 2025-3-26 23:39
(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.作者: 廢止 時間: 2025-3-27 01:44
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.作者: MONY 時間: 2025-3-27 09:09
(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.作者: 蛙鳴聲 時間: 2025-3-27 11:35 作者: 偏狂癥 時間: 2025-3-27 15:17 作者: Kindle 時間: 2025-3-27 21:34
Gabriella B?hmy 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作者: STEER 時間: 2025-3-28 01:35 作者: 宣稱 時間: 2025-3-28 02:49 作者: 伸展 時間: 2025-3-28 06:41
Gabriella B?hmy 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作者: 重畫只能放棄 時間: 2025-3-28 14:29