High Dimensional Data Analysis: An Interpoint Distance Approach
暫譯: 高維度資料分析：點間距離方法
Modarres, Reza
- 出版商: CRC
- 出版日期: 2026-10-21
- 售價: $5,550
- 貴賓價: 9.5 折 $5,272
- 語言: 英文
- 頁數: 512
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 1041321945
- ISBN-13: 9781041321941
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相關分類:
R 語言、機率統計學 Probability-and-statistics
尚未上市，無法訂購
相關主題
商品描述
This book presents a rigorous and unified treatment of the analysis of high-dimensional data through the lens of distance-based methodology. It synthesizes recent advances in the field by framing them within a coherent paradigm: proximity-driven, nonparametric approaches for exploration and inference in complex multivariate spaces. Within this framework, interpoint distances serve as fundamental primitives, enabling the reduction of intricate, high-dimensional relationships to analytically tractable one-dimensional representations.
Designed for graduate students, advanced undergraduates, and researchers with training in matrix theory and mathematical statistics, the text assumes no prior exposure to high-dimensional techniques. Familiarity with classical multivariate analysis, while not required, will deepen appreciation of the material. The exposition balances theoretical development with practical insight, pairing formal proofs with illustrative examples and providing implementations in the R programming language to support hands-on engagement.
Key Features:
- Incorporates real-world data applications to ground theoretical concepts.
- More than 180 exercises, with solutions, available on the publisher's website.
- Provides accompanying R code for computational exploration.
商品描述(中文翻譯)
本書透過以距離為基礎的方法，嚴謹且統一地探討高維度資料的分析。全書將此領域近期的研究進展，置於一個連貫的典範中加以整合：以鄰近性為核心的非參數方法，用於複雜多變量空間中的探索與推論。在此架構下，點間距離（interpoint distances）扮演基本原語的角色，使複雜的高維度關係得以化約為可進行解析處理的一維表示。
本書適合具備矩陣理論與數理統計訓練的研究生、高年級大學生，以及研究人員閱讀，且不預設讀者事先接觸過高維度技術。雖然不要求讀者熟悉經典多變量分析，但具備相關背景將有助於深入理解本書內容。本書在理論發展與實務洞見之間取得平衡，將形式化證明與說明性範例並列，並提供以 R 程式語言撰寫的實作，支援讀者進行實際操作與探索。
主要特色：
• 融入真實世界的資料應用，協助讀者掌握理論概念。
• 提供超過 180 題習題及其解答，並可於出版社網站取得。
• 提供搭配使用的 R 程式碼，支援計算與實驗探索。
作者簡介
Reza Modarres graduated from the American University with a B.S. in Mathematics and Computer Science. He later earned an M.S. in Computer Science and a Ph.D. in Statistics from the American University. His thesis focused on the analysis of correlation matrices. Upon graduation, Dr. Modarres worked as a post-doctoral fellow before joining George Washington University. Dr. Modarres is an elected member of the International Statistical Institute and has published more than 100 research articles on Statistics, Computer Science, and their interface. His research includes high-dimensional analysis, statistical computing, multivariate non-parametric analysis, and environmental statistics.
作者簡介(中文翻譯)
Reza Modarres 畢業於 American University，取得數學與 Computer Science 學士學位。之後，他於 American University 取得 Computer Science 碩士學位及 Statistics 博士學位。他的博士論文著重於相關矩陣（correlation matrices）的分析。畢業後，Modarres 博士先擔任博士後研究員，之後加入 George Washington University。Modarres 博士獲選為 International Statistical Institute 會員，並已在 Statistics、Computer Science 及兩者交叉領域發表超過 100 篇研究論文。他的研究領域包括高維度分析、統計運算、多變量無母數分析，以及環境統計。
