Geometric and Topological Inference (Paperback)

Jean-Daniel Boissonnat, Frédéric Chazal, Mariette Yvinec

  • 出版商: Cambridge
  • 出版日期: 2018-09-27
  • 售價: $1,680
  • 貴賓價: 9.5$1,596
  • 語言: 英文
  • 頁數: 246
  • 裝訂: Paperback
  • ISBN: 1108410898
  • ISBN-13: 9781108410892
  • 相關分類: Data ScienceComputer-networks
  • 立即出貨(限量) (庫存=1)

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商品描述

Geometric and topological inference deals with the retrieval of information about a geometric object using only a finite set of possibly noisy sample points. It has connections to manifold learning and provides the mathematical and algorithmic foundations of the rapidly evolving field of topological data analysis. Building on a rigorous treatment of simplicial complexes and distance functions, this self-contained book covers key aspects of the field, from data representation and combinatorial questions to manifold reconstruction and persistent homology. It can serve as a textbook for graduate students or researchers in mathematics, computer science and engineering interested in a geometric approach to data science.

商品描述(中文翻譯)

幾何和拓撲推斷是指使用一個有限的可能帶有噪音的樣本點集合來檢索有關幾何物體的信息。它與流形學習有關,並為拓撲數據分析這一快速發展領域提供了數學和算法基礎。本書獨立地介紹了對單體複合體和距離函數的嚴格處理,涵蓋了該領域的關鍵方面,從數據表示和組合問題到流形重建和持久同調。它可以作為研究生或數學、計算機科學和工程領域的研究人員的教材,對幾何方法進行數據科學研究感興趣的人使用。