Mathematical Models of Spoken Language

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出版者:Wiley
作者:Stephen Levinson
出品人:
頁數:282
译者:
出版時間:2003-08-26
價格:USD 140.00
裝幀:Hardcover
isbn號碼:9780470844076
叢書系列:
圖書標籤:
  • ComputationalLinguistics
  • 計算語言學和語料庫
  • SpeechSciencePhonetics
  • #006.computational_linguistics
  • 計量語言學
  • ebooks
  • spoken language
  • mathematical modeling
  • linguistics
  • language processing
  • computational linguistics
  • natural language
  • language theory
  • artificial intelligence
  • machine learning
  • text analysis
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具體描述

"Mathematical Models of Spoken Language" presents the motivations for, intuitions behind, and basic mathematical models of natural spoken language communication. A comprehensive overview is given of all aspects of the problem from the physics of speech production through the hierarchy of linguistic structure and ending with some observations on language and mind. The author comprehensively explores the argument that these modern technologies are actually the most extensive compilations of linguistic knowledge available. Throughout the book, the emphasis is on placing all the material in a mathematically coherent and computationally tractable framework that captures linguistic structure.It presents material that appears nowhere else and gives a unification of formalisms and perspectives used by linguists and engineers. Its unique features include a coherent nomenclature that emphasizes the deep connections amongst the diverse mathematical models and explores the methods by means of which they capture linguistic structure. This contrasts with some of the superficial similarities described in the existing literature; the historical background and origins of the theories and models; the connections to related disciplines, e.g. artificial intelligence, automata theory and information theory; an elucidation of the current debates and their intellectual origins; many important little-known results and some original proofs of fundamental results, e.g. a geometric interpretation of parameter estimation techniques for stochastic models and finally the author's own unique perspectives on the future of this discipline.There is a vast literature on Speech Recognition and Synthesis however, this book is unlike any other in the field. Although it appears to be a rapidly advancing field, the fundamentals have not changed in decades. Most of the results are presented in journals from which it is difficult to integrate and evaluate all of these recent ideas. Some of the fundamentals have been collected into textbooks, which give detailed descriptions of the techniques but no motivation or perspective. The linguistic texts are mostly descriptive and pictorial, lacking the mathematical and computational aspects. This book strikes a useful balance by covering a wide range of ideas in a common framework. It provides all the basic algorithms and computational techniques and an analysis and perspective, which allows one to intelligently read the latest literature and understand state-of-the-art techniques as they evolve.

《語音語言的數學模型》並非一本探討具體文本內容的著作,而是一本在更宏觀的層麵上,追溯和梳理瞭人類理解和描述語言這一復雜現象背後,數學工具與方法不斷演進、融閤的曆史及其重要性的學術考察。本書並非收錄具體的數學模型或語言學理論,而是聚焦於“模型”這一概念本身在語言研究領域的發展脈絡,以及數學思想如何為我們理解語音和語言的本質提供瞭強大的視角和工具。 本書從早期人類對聲音的樸素觀察和對語言規律的初步探索談起,追溯瞭從古代哲學中關於語言符號性和概念的思辨,到中世紀邏輯學對句法結構的初步分析,這些都可以視為早期“模型”思想的萌芽。隨著科學革命的到來,尤其是牛頓力學體係的建立,嚴謹的數學語言和形式化的思維方式開始滲透到各個學科領域。在語言研究領域,雖然直接的數學模型尚未成型,但對語言規律的追求,對語音的物理學測量,以及對詞匯和語法規則的係統性歸納,都為後來的量化研究奠定瞭基礎。 進入20世紀,信息論、控製論以及計算機科學的興起,為數學模型在語言研究中的應用打開瞭全新的局麵。本書將重點探討這些新興學科如何深刻影響瞭我們看待語言的方式。信息論為量化語言中的信息傳遞效率提供瞭理論基礎,例如香農的熵概念就被用來衡量語言的冗餘度和信息含量。控製論則為理解語言的生成和識彆過程提供瞭動態係統的視角,將語言看作是一個反饋和調節的復雜係統。 本書將詳細考察統計學方法在語言研究中的應用,包括但不限於: 概率模型: 探討如何使用概率論來描述詞語齣現的頻率、詞語之間的關聯性(如n-gram模型),以及句子結構的構成概率。這些模型在早期自然語言處理(NLP)領域扮演瞭至關重要的角色。 統計學推斷: 介紹如何利用統計學方法從大規模語言數據(語料庫)中提取語言規律,例如語料庫統計、詞頻分析、共現分析等,以及這些分析如何支持語言學理論的檢驗和修正。 機器學習與模式識彆: 隨著計算能力的提升,機器學習技術為語言建模提供瞭更強大的工具。本書將追溯從早期的綫性模型到更復雜的神經網絡模型(如循環神經網絡RNN、長短期記憶網絡LSTM、以及後來的Transformer模型)在語音識彆、機器翻譯、文本分類等任務中的發展曆程。這些模型本質上是從數據中學習語言的統計規律和模式。 在語音學領域,本書也將深入分析數學模型如何用於描述和分析語音信號的聲學特性。這包括: 傅裏葉變換與頻譜分析: 介紹如何利用傅裏葉變換將語音信號分解為不同頻率的成分,從而分析語音的音高、音色等聲學特徵。頻譜圖(spectrogram)作為一種重要的可視化工具,將被視為一種對語音信號進行數學建模的直觀體現。 聲學特徵提取: 探討如何從原始語音信號中提取一係列具有代錶性的聲學特徵,如梅爾頻率倒譜係數(MFCC)、綫性預測編碼(LPC)等。這些特徵提取過程本身就是一種數學上的降維和特徵編碼,旨在捕捉對語音識彆最重要的信息。 語音閤成的聲學模型: 介紹用於生成自然語音的聲學模型,這些模型往往基於統計方法或深度學習,將文本信息轉化為可聽的聲學波形。 本書還將探討數理邏輯和計算語言學在構建語言形式化模型方麵的貢獻。這包括: 句法分析的計算模型: 介紹如何使用喬姆斯基的生成語法理論以及相關的形式語言和自動機理論,構建能夠解析句子結構、識彆語法規則的計算模型。 語義錶示的數學模型: 探討如何將語言的意義用數學化的方式進行錶示,例如邏輯錶達式、嚮量空間模型(如詞嵌入)以及圖論方法,以及這些模型如何支持語義理解和推理。 計算復雜性理論在語言研究中的應用: 簡要介紹計算復雜性理論如何幫助我們理解某些語言處理任務的計算難度,以及是否存在更高效的算法。 本書強調,數學模型並非冰冷的抽象概念,而是人類認識和改造世界的有力工具。在語言研究領域,數學模型的引入,不僅使得我們能夠更精確地描述和分析語言現象,也為開發智能語音技術、提升人機交互能力提供瞭關鍵的理論支撐和技術手段。本書旨在為讀者呈現一幅清晰而全麵的圖景:數學思想如何在漫長的曆史長河中,不斷滲透、賦能,並最終成為理解和駕馭語音與語言這一人類最獨特能力不可或缺的視角和方法。它並非提供現成的模型,而是引導讀者思考“如何用數學的語言去理解和構建語言的模型”。

作者簡介

目錄資訊

讀後感

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用戶評價

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當我在書架上看到這本書,其書名——Mathematical Models of Spoken Language——立刻吸引瞭我的目光。我一直認為,語言,尤其是口語,其背後蘊含著極其復雜的規律,而數學正是揭示這些規律的有力工具。我渴望瞭解書中是如何將語音信號的聲學特性,如頻率、振幅、相位等,轉化為可供分析和建模的數學錶示。Furthermore, I'm particularly interested in the book's potential exploration of how statistical models can be used to capture the probabilistic nature of language. The inherent variability in human speech, from accent differences to individual speaking styles, presents a significant challenge, and I'm eager to see how mathematical frameworks address this. I'm hoping the book will delve into topics such as feature extraction techniques, the mathematics behind different types of acoustic models (e.g., Gaussian Mixture Models), and perhaps even the integration of language models to improve speech recognition accuracy. The promise of a structured, quantitative approach to understanding spoken language is what makes this book so appealing to me.

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這本書的書名——Mathematical Models of Spoken Language——立刻勾起瞭我的好奇心。作為一名對人工智能和機器學習領域充滿熱情的研究者,我深知數學模型在理解和處理復雜數據中的核心作用,而語音語言無疑是其中最富挑戰性的數據類型之一。我非常期待書中能夠詳細闡述如何利用概率統計和最優化理論來構建語音識彆和語音閤成係統。例如,我渴望瞭解書中如何介紹動態時間規整(DTW)或前嚮-後嚮算法(Forward-Backward algorithm)在語音匹配和模型訓練中的應用。Furthermore, I’m interested in how the book tackles the challenges of dealing with noisy speech, speaker variability, and different languages within a unified mathematical framework. The prospect of seeing how abstract mathematical concepts are translated into practical algorithms for speech processing is incredibly appealing. I believe this book will provide a valuable resource for anyone looking to gain a deeper, more quantitative understanding of the intricacies of spoken language.

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我一直對語言的本質及其背後的計算機製充滿好奇,特彆是當它與數學的嚴謹性相結閤時。這本書的書名——“Mathematical Models of Spoken Language”——無疑點燃瞭我內心深處的求知欲。我設想,這本書將帶領我走進一個由方程、算法和統計模型構建的語音世界,在那裏,每一個音素、每一個語調的變化,都可能被賦予精確的數學意義。我非常期待書中能夠深入探討諸如隱馬爾可夫模型(HMMs)在語音識彆中的應用,或是如何利用概率圖模型來捕捉語音序列的上下文依賴性。 Furthermore, I'm eager to see if the book delves into more contemporary approaches, such as deep learning architectures like Recurrent Neural Networks (RNNs) or Convolutional Neural Networks (CNNs) applied to spoken language processing. Understanding the mathematical underpinnings of these powerful tools would be invaluable. The prospect of seeing how abstract mathematical concepts are used to decode the nuances of human speech, from the subtle variations in pronunciation to the complex structures of sentences, is truly exciting. I imagine the book will not shy away from the intricate mathematical details, offering clear explanations and derivations that allow a dedicated reader to grasp the underlying principles.

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我是一名對自然語言處理(NLP)領域充滿熱情的學生,而語音處理是NLP中一個至關重要且極具挑戰性的分支。這本書的書名“Mathematical Models of Spoken Language”精準地概括瞭我的興趣所在,它預示著本書將深入探討如何運用數學工具來理解和模擬人類的口語。我非常期待書中能夠詳細介紹語音識彆(ASR)和語音閤成(TTS)的核心技術,特彆是那些基於統計和機器學習的模型。例如,隱馬爾可夫模型(HMMs)在ASR中的經典應用,以及近年來越來越流行的深度學習模型(如RNNs, LSTMs, Transformers)是如何在語音建模中發揮作用的。I’m also keen to learn about the underlying mathematical principles of acoustic modeling, which aims to map acoustic features to phonetic units. The book’s title suggests a deep dive into the mathematical foundations, and I anticipate rigorous derivations and clear explanations of algorithms. The prospect of understanding the quantitative aspects of speech perception and production, and how these can be harnessed to build intelligent systems, is incredibly motivating. I hope to find practical examples or case studies that illustrate the application of these mathematical models.

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這本書名——Mathematical Models of Spoken Language——本身就極具吸引力,它勾勒齣瞭一種將抽象的語言學概念與嚴謹的數學工具相結閤的研究範式。我非常好奇書中是如何將語音的動態性、變異性以及人際間的細微差異,通過數學模型來捕捉和描述的。尤其是我對書中可能涉及的關於語音韻律學(prosody)的建模部分非常感興趣。語調、重音、停頓這些元素對於傳達意義至關重要,如何用數學語言精確地刻畫它們,並使其能夠被計算機理解,是一個極具挑戰性的問題。我期待書中能夠提供一些關於這些韻律特徵提取和建模的算法,以及它們在語音閤成或情感識彆等應用中的實現。Furthermore, I'm curious about the book's approach to modeling the relationship between phonetics, phonology, and higher-level linguistic structures within a mathematical framework. The prospect of understanding how individual speech sounds are assembled into meaningful words and sentences through computational models is what makes this book so compelling. I believe it will offer a unique and insightful perspective on spoken language.

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這本書的封麵設計就散發著一種嚴謹而又充滿探索精神的氣息,暗藍色係的背景搭配銀白色的書名,仿佛預示著內容將深入探究語音語言背後那些隱藏在數據和數學模型中的精妙規律。雖然我還沒來得及完全深入閱讀,但僅僅是瀏覽目錄和序言,就已經讓我對作者在這一領域付齣的心血和廣闊的視野有瞭初步的感知。我尤其好奇書中關於語音信號處理的部分,不知道作者是如何將復雜的聲學現象轉化為可供量化的數學錶達,並進一步構建齣能夠模擬人類語音生成和理解的模型。這不僅僅是技術層麵的挑戰,更是對人類認知過程的一次深入剖析。我期望書中能夠提供一些關於聲學特徵提取、聲學-音位映射,甚至是更宏觀的語音閤成和語音識彆模型構建的詳細介紹,並能輔以清晰的數學推導和案例分析。畢竟,對於一個像我這樣的讀者來說,理論的深度固然重要,但如果能有實際的算法示例或者代碼片段的提及,那就更具指導意義瞭。我期待這本書能打開我認識語音世界的新視角,讓我不僅僅是聽到聲音,更能理解聲音的“語言”。

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從書籍的標題來看,這顯然是一本旨在連接數學嚴謹性與語言學復雜性的重要著作。我個人對語音識彆技術有著濃厚的興趣,尤其是在當下人工智能飛速發展的時代,理解其核心的數學模型至關重要。這本書似乎正是填補瞭這一領域研究中的一個關鍵空白。我非常期待書中能夠詳細闡述不同類型的語音模型,例如聲學模型、發音模型和語言模型,以及它們之間是如何相互作用的。此外,我也想知道書中是否會涉及一些關於語音信號預處理的技術,比如降噪、分幀和特徵提取(如MFCCs),以及這些過程背後的數學原理。對於一個希望深入瞭解語音技術底層邏輯的讀者而言,這本書提供瞭一個絕佳的機會。我希望書中不僅能提供理論上的講解,更能佐以相關的數學公式和算法框架,讓讀者能夠動手實踐,加深理解。這本關於語音語言數學模型的書籍,預示著將是一次深入的理論探索和實踐指導之旅。

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這本書的封麵設計簡潔而不失專業感,給我留下瞭深刻的第一印象。我一直認為,語音作為人類交流最基本、最直接的媒介,其背後一定蘊藏著深邃的數學規律。而“Mathematical Models of Spoken Language”這個書名,恰恰點明瞭本書的核心內容——用數學的語言去解讀和構建我們每天都在使用的語音。我非常希望這本書能夠提供關於語音信號處理方麵的詳盡介紹,例如傅裏葉變換在語音頻譜分析中的作用,以及如何利用這些分析結果來構建更有效的語音識彆係統。Furthermore, I'm keen to explore how statistical methods, such as Bayesian inference or maximum likelihood estimation, are employed to model the inherent variability and uncertainty present in spoken language. The idea of quantifying and predicting linguistic phenomena using mathematical frameworks is incredibly appealing. I anticipate that the book will offer a rigorous yet accessible treatment of these topics, guiding readers through complex concepts with clarity and precision. The potential to gain a deeper, more quantitative understanding of spoken language is what truly draws me to this book.

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這本書的 title——Mathematical Models of Spoken Language——就像一個信號,直接指嚮瞭語言學研究中一個我長期以來所關注的交叉領域。我堅信,要真正理解口語的復雜性和動態性,必須藉助數學的嚴謹和力量。我非常希望這本書能為我提供一個係統性的框架,來理解語音信號的聲學特徵是如何被提取、分析和建模的。I’m particularly eager to explore the mathematical underpinnings of speech production models, perhaps delving into theories of articulatory phonetics and their computational representation. Furthermore, I’m keen to discover how mathematical models are employed to capture the temporal dependencies and sequential nature of spoken language, potentially through techniques like Markov models or recurrent neural networks. The book’s title suggests a focus on the foundational principles, and I anticipate it will offer a clear, logical progression of ideas, supported by relevant mathematical notation and derivations. The promise of a more profound, quantitative insight into the very fabric of spoken communication is what draws me to this volume.

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我是一名語言學研究者,對語音學和計算語言學都抱有濃厚的興趣。因此,一本聚焦於“Mathematical Models of Spoken Language”的書籍,無疑是我一直以來尋找的。我期待書中能夠深入探討語音的生成和感知過程背後的數學原理。例如,如何使用微分方程來描述聲帶的振動,或者如何運用信息論的觀點來分析語音信號的編碼效率。I'm also very curious to see if the book covers more advanced topics like generative adversarial networks (GANs) or variational autoencoders (VAEs) in the context of speech synthesis or speech enhancement. The ability to quantify and model the rich variability of human speech, from phoneme realization to prosodic contours, is crucial for both theoretical understanding and practical applications. I anticipate that the book will offer a comprehensive overview of existing mathematical frameworks, potentially introducing novel approaches or highlighting open research questions. The prospect of bridging the gap between linguistic theory and quantitative modeling is what makes this book particularly exciting for me.

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