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.

口语的数学模型》介绍了自然口语交流的动机、背后的直觉和基本数学模型。该书全面概述了问题的各个方面，从语音生成的物理学到语言结构的层次，最后是对语言和心灵的一些观察。作者全面探讨了这些现代技术实际上是现有语言知识的最广泛的汇编的论点。它的独特之处包括一个连贯的命名法，强调了不同数学模型之间的深刻联系，并探讨了它们捕捉语言结构的方法。这与现有文献中描述的一些表面的相似性形成了鲜明的对比；理论和模型的历史背景和起源；与相关学科的联系，如 人工智能、自动机理论和信息理论的联系；对当前辩论及其思想渊源的阐释；许多鲜为人知的重要结果和一些基本结果的原始证明，例如对随机模型的参数估计技术的几何解释，以及最后作者对该学科的未来的独特观点。虽然它似乎是一个快速发展的领域，但其基本原理几十年来没有改变。大多数成果都是在期刊上发表的，很难从中整合和评估所有这些最新的想法。一些基础知识已经被收集到教科书中，这些教科书对技术进行了详细的描述，但没有动机或观点。语言学文本大多是描述性的和图片性的，缺乏数学和计算方面的内容。本书通过在一个共同的框架内涵盖广泛的想法，达到了一个有益的平衡。它提供了所有的基本算法和计算技术以及分析和观点，使人们能够明智地阅读最新的文献，并在其发展过程中理解最先进的技术。