Pattern Theory: The Stochastic Analysis of Real-World Signals
暫譯: 模式理論：現實世界信號的隨機分析

Mumford, David, Desolneux, Agnès

Pattern Theory: The Stochastic Analysis of Real-World Signals
  • 出版商: A K Peters
  • 出版日期: 2024-10-14
  • 售價: $2,300
  • 貴賓價: 9.5 折 $2,185
  • 語言: 英文
  • 頁數: 428
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 103292005X
  • ISBN-13: 9781032920054

    • 海外代購書籍(需單獨結帳)

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商品描述

Pattern theory is a distinctive approach to the analysis of all forms of real-world signals. At its core is the design of a large variety of probabilistic models whose samples reproduce the look and feel of the real signals, their patterns, and their variability. Bayesian statistical inference then allows you to apply these models in the analysis of new signals.

This book treats the mathematical tools, the models themselves, and the computational algorithms for applying statistics to analyze six representative classes of signals of increasing complexity. The book covers patterns in text, sound, and images. Discussions of images include recognizing characters, textures, nature scenes, and human faces. The text includes online access to the materials (data, code, etc.) needed for the exercises.

商品描述(中文翻譯)

模式理論是一種獨特的方法，用於分析所有形式的現實世界信號。其核心是設計各種各樣的概率模型，這些模型的樣本能夠重現真實信號的外觀和感覺、其模式及其變異性。貝葉斯統計推斷則允許您在分析新信號時應用這些模型。

本書探討數學工具、模型本身以及應用統計分析六類代表性信號的計算算法，這些信號的複雜性逐漸增加。本書涵蓋文本、聲音和圖像中的模式。對於圖像的討論包括識別字符、紋理、自然場景和人臉。文本中還包括在線訪問所需材料（數據、代碼等）的連結，以便進行練習。

作者簡介

David Mumford is a professor emeritus of applied mathematics at Brown University. His contributions to mathematics fundamentally changed algebraic geometry, including his development of geometric invariant theory and his study of the moduli space of curves. In addition, Dr. Mumford's work in computer vision and pattern theory introduced new mathematical tools and models from analysis and differential geometry. He has been the recipient of many prestigious awards, including U.S. National Medal of Science (2010), the Wolf Foundation Prize in Mathematics (2008), the Steele Prize for Mathematical Exposition (2007), the Shaw Prize in Mathematical Sciences (2006), a MacArthur Foundation Fellowship (1987-1992), and the Fields Medal (1974).

Agnès Desolneux is a researcher at CNRS/Université Paris Descartes. A former student of David Mumford's, she earned her Ph.D. in applied mathematics from CMLA, ENS Cachan. Dr. Desolneux's research interests include statistical image analysis, Gestalt theory, mathematical modeling of visual perception, and medical imaging.

作者簡介(中文翻譯)

大衛·曼福德是布朗大學的應用數學榮譽教授。他對數學的貢獻徹底改變了代數幾何，包括他對幾何不變理論的發展以及對曲線的模空間的研究。此外，曼福德博士在計算機視覺和模式理論方面的工作引入了來自分析和微分幾何的新數學工具和模型。他曾獲得多項著名獎項，包括美國國家科學獎章（2010年）、沃夫數學獎（2008年）、斯蒂爾數學表述獎（2007年）、蕭獎數學科學獎（2006年）、麥克阿瑟基金會獎學金（1987-1992年）以及菲爾茲獎（1974年）。

阿涅斯·德索爾紐是法國國家科學研究中心（CNRS）/巴黎笛卡爾大學的研究員。她是大衛·曼福德的前學生，並在CMLA、ENS Cachan獲得應用數學博士學位。德索爾紐博士的研究興趣包括統計圖像分析、格式塔理論、視覺感知的數學建模以及醫學影像學。

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