在自然语言处理和三池模型中应用马尔可夫链

Xunyang Wang, Yueheng Zhang
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引用次数: 0

摘要

本文深入探讨了马尔可夫链在自然语言处理(NLP)中的应用,以及与三池模型相关的马尔可夫链蒙特卡罗(MCMC)方法。前者概述了马尔可夫链的基本原理,强调了马尔可夫链在语言建模和文本生成中预测词序列的实用性,尽管存在一定的局限性。此外,前者还介绍了 n-gram 模型等数学框架,这些框架通过考虑多个前置词来提高预测准确性。它承认 NLP 面临的挑战,如过度简化和情感深度,以及高阶模型的计算问题。文章最后讨论了马尔可夫链与其他模型的整合,以缓解这些局限性,以及马尔可夫链在计算语言学中的持久相关性。后文研究了 MCMC 方法,这是统计推理领域的一项开创性发展,在分析复杂系统时,当传统统计技术无法胜任时,该方法尤其有用。此外,本书还探讨了 MCMC 的基本概念,阐明了 MCMC 与马尔可夫链的内在联系,介绍了通常应用于物理、化学或生态系统模型的三池模型,并讨论了如何利用 MCMC 分析这些模型。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Applying the Markov chain in natural language processing and three-pool model
This paper delves into the application of Markov chains in Natural Language Processing (NLP), and the Markov Chain Monte Carlo (MCMC) methodology relevant to the three-pool model. The former outlines the basic principles of Markov chains, highlighting their utility in predicting word sequences in language modelling and text generation, despite certain limitations. Also, the former describes mathematical frameworks like n-gram models that enhance prediction accuracy by considering multiple preceding words. It acknowledges challenges in NLP such as oversimplification and emotional depth, as well as computational issues in higher-order models. It concludes by discussing the integration of Markov chains with other models to mitigate these limitations, and their enduring relevance in computational linguistics. The later investigates the MCMC methodology, a seminal development in the field of statistical inference, which is especially useful when analysing complicated systems when traditional statistical techniques are inadequate. Moreover, this later explores the fundamental concepts of MCMC, clarifies how it is inherently related to Markov chains, presents the three-pool model that is commonly applied to models of physical, chemical, or ecological systems, and discusses how MCMC can be used to analyse these models.
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