| 书目名称 | Systems, Patterns and Data Engineering with Geometric Calculi | | 编辑 | Sebastià Xambó-Descamps | | 视频video | | | 概述 | Integrated perspective of mathematical engineering based on geometric calculi.A comprehensive formalism for deep neural networks based on geometric algebras.Coverage of relevant algorithms, particular | | 丛书名称 | SEMA SIMAI Springer Series | | 图书封面 |  | | 描述 | .The intention of this collection agrees with the purposes of the homonymous mini-symposium (MS) at ICIAM-2019, which were to overview the essentials of geometric calculus (GC) formalism, to report on state-of-the-art applications showcasing its advantages and to explore the bearing of GC in novel approaches to deep learning. The first three contributions, which correspond to lectures at the MS, offer perspectives on recent advances in the application GC in the areas of robotics, molecular geometry, and medical imaging. The next three, especially invited, hone the expressiveness of GC in orientation measurements under different metrics, the treatment of contact elements, and the investigation of efficient computational methodologies. The last two, which also correspond to lectures at the MS, deal with two aspects of deep learning: a presentation of a concrete quaternionic convolutional neural network layer for image classification that features contrast invariance and a general overview of automatic learning aimed at steering the development of neural networks whose units process elements of a suitable algebra, such as a geometric algebra.. .The book fits, broadly speaking, within | | 出版日期 | Conference proceedings 2021 | | 关键词 | Geometric calculi; Mathematical engineering; Multivector signal processing; Automatic learning; Efficien | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-74486-1 | | isbn_softcover | 978-3-030-74488-5 | | isbn_ebook | 978-3-030-74486-1Series ISSN 2199-3041 Series E-ISSN 2199-305X | | issn_series | 2199-3041 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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发表于 2025-3-21 16:36:15
