Ridge Functions (Cambridge Tracts in Mathematics)
暫譯: 脊函數(劍橋數學專題)

Allan Pinkus

  • 出版商: Cambridge
  • 出版日期: 2015-08-07
  • 售價: $5,370
  • 貴賓價: 9.5$5,102
  • 語言: 英文
  • 頁數: 218
  • 裝訂: Hardcover
  • ISBN: 1107124395
  • ISBN-13: 9781107124394
  • 海外代購書籍(需單獨結帳)

商品描述

Ridge functions are a rich class of simple multivariate functions which have found applications in a variety of areas. These include partial differential equations (where they are sometimes termed 'plane waves'), computerised tomography, projection pursuit in the analysis of large multivariate data sets, the MLP model in neural networks, Waring's problem over linear forms, and approximation theory. Ridge Functions is the first book devoted to studying them as entities in and of themselves. The author describes their central properties and provides a solid theoretical foundation for researchers working in areas such as approximation or data science. He also includes an extensive bibliography and discusses some of the unresolved questions that may set the course for future research in the field.

商品描述(中文翻譯)

Ridge 函數是一類豐富的簡單多變量函數,已在多個領域中找到應用。這些領域包括偏微分方程(在這裡有時稱為「平面波」)、計算機斷層掃描、大型多變量數據集分析中的投影追求、神經網絡中的 MLP 模型、線性形式下的 Waring 問題,以及近似理論。《Ridge Functions》是第一本專門研究這些函數作為獨立實體的書籍。作者描述了它們的核心特性,並為從事近似或數據科學等領域的研究人員提供了堅實的理論基礎。他還包括了廣泛的參考文獻,並討論了一些未解決的問題,這些問題可能會為該領域未來的研究指明方向。