贝叶斯
The Book of Why 豆瓣
作者: Judea Pearl / Dana Mackenzie 出版社: Allen Lane 2018 - 5
A Turing Award-winning computer scientist and statistician shows how understanding causality has revolutionized science and will revolutionize artificial intelligence
"Correlation is not causation." This mantra, chanted by scientists for more than a century, has led to a virtual prohibition on causal talk. Today, that taboo is dead. The causal revolution, instigated by Judea Pearl and his colleagues, has cut through a century of confusion and established causality--the study of cause and effect--on a firm scientific basis. His work explains how we can know easy things, like whether it was rain or a sprinkler that made a sidewalk wet; and how to answer hard questions, like whether a drug cured an illness. Pearl's work enables us to know not just whether one thing causes another: it lets us explore the world that is and the worlds that could have been. It shows us the essence of human thought and key to artificial intelligence. Anyone who wants to understand either needs The Book of Why.
2018年11月17日 已读
科学法是贝叶斯定理的一次应用。因果图形式化因果结构,do算子对有向无环图中指向X的有向边全部切断。由于变量不能全部观测,用前门准则来控制无法观察到的混杂因素,与RCT目标一致;若变量集合Z相对于(X,Y)满足后门准则,则X到Y因果可识别。感觉这些都是对相关性不能解决以及解决起来复杂的问题透明优化。反事实算法则扩宽数据解答问题的范围,NIE形式化间接影响。结构因果模型很大的一个优点就是对于线性非线性函数、离散或连续变量都有效。作者太卖关子,前几章讲统计学史,旧故事很多,7-9章是干货。思路是经典宏观实践的,因果哲学讲得很浅。但是应用领域极为广泛,毕竟是对相关性大改良,文科也能用呐。不知道因果模型处理相互干涉和叠加态什么的会怎么样。可能要读Causality一书才能深刻了解本书数学化的严格证明。
AI Causality JudeaPearl Judea_Pearl Reason
贝叶斯统计 豆瓣
作者: 茆诗松 出版社: 中国统计出版社 1999 - 1
《高等院校统计学专业规划教材•贝叶斯统计》共六章,可分二部分。前三章围绕先验分布介绍贝叶斯推断方法。后三章围绕损失函数介绍贝叶斯决策方法。阅读这些内容仅需要概率统计基本知识就够了。《高等院校统计学专业规划教材•贝叶斯统计》力图用生动有趣的例子来说明贝叶斯统计的基本思想和基本方法,尽量使读者对贝叶斯统计产生兴趣,引发读者使用贝叶方法去认识和解决实际问题的愿望。进而去丰富和发展贝叶斯统计。假如学生的兴趣被钓出来,愿望被引出来,那么讲授这一门课的目的也基本达到了。
面向生态学数据的贝叶斯统计 豆瓣
作者: 克拉克 出版社: 科学出版社 2013 - 3
《面向生态学数据的贝叶斯统计:层次模型、算法和R编程》内容简介:作为统计学的两大分支,频率论和贝叶斯统计创立的时间相差无几,但贝叶斯统计直到近10年才被逐步引进到生态学数据分析。《面向生态学数据的贝叶斯统计:层次模型、算法和R编程》涵盖方法引论与实验分析应用两部分,针对多个时空尺度,介绍了适合于生态学数据的统计推断方法和层次模型,涉及经典频率论和贝叶斯统计的模型、算法和具体编程。首先阐述了生态学数据的层次结构和时空变异性,以及频率论和贝叶斯统计。然后介绍贝叶斯推断的基础概念、分析框架和算法原理;并进一步针对生态学层次模型、时间序列及时空复合格局数据依次展开分析模拟。在应用操作部分,配合方法部分的各章内容介绍基于R的算法与编程实践。最后《面向生态学数据的贝叶斯统计:层次模型、算法和R编程》还附录了与生态学数据密切相关的频率论与贝叶斯统计的基础知识。
《面向生态学数据的贝叶斯统计:层次模型、算法和R编程》适用于生态学和环境科学专业的研究生和科研人员,可作为实验和观测数据分析的教材或参考书。具有一定概率论和贝叶斯统计基础及统计软件R应用编程技术的人员,对于理解和应用《面向生态学数据的贝叶斯统计:层次模型、算法和R编程》所涉及的相关方法是必要的。
概率图模型:原理与技术 豆瓣
作者: [美]Daphne Koller / [以色列]Nir Friedman 译者: 王飞跃 / 韩素青 出版社: 清华大学出版社 2015 - 3
概率图模型将概率论与图论相结合,是当前非常热门的一个机器学习研究方向。本书详细论述了有向图模型(又称贝叶斯网)和无向图模型(又称马尔可夫网)的表示、推理和学习问题,全面总结了人工智能这一前沿研究领域的最新进展。为了便于读者理解,书中包含了大量的定义、定理、证明、算法及其伪代码,穿插了大量的辅助材料,如示例(examples)、技巧专栏(skill boxes)、实例专栏(case study boxes)、概念专栏(concept boxes)等。另外,在第 2章介绍了概率论和图论的核心知识,在附录中介绍了信息论、算法复杂性、组合优化等补充材料,为学习和运用概率图模型提供了完备的基础。
本书可作为高等学校和科研单位从事人工智能、机器学习、模式识别、信号处理等方向的学生、教师和研究人员的教材和参考书。
== 序 言 ==
很高兴能够看到我们所著的《概率图模型》一书被翻译为中文出版。我们了解到这本书涵盖的课题已在中国引起了巨大的兴趣。已有众多中国读者写信向我们解释这本书对于他们的学习的重要性,并希望获得更易理解的版本。随着众多来自中国研究机构或国外研究机构的中国学者署名或共同署名的文章的发表,中国研究者已在概率图领域中扮演了非常重要的角色。这些文章对于概率图模型领域的发展起到了非常重要的作用。我们相信《概率图模型》中文版的出版将帮助许多中国读者学习并掌握这一重要课题的基础。同时,这也将进一步提高中国学者应用概率图模型思想的能力,并为这一领域的发展做出贡献。
本书的翻译工作由王飞跃研究员主导,并得到了王珏研究员及其众多助手和合作者的支持。这是一份历时 5年、具有里程碑意义的努力,我深深地感谢该团队所有为本书翻译做出贡献的人员。我尤其希望借此机会感谢王珏研究员——一位中国机器学习领域的开拓者。王珏研究员是此项翻译工作的十分重要的推动者。没有他的支持,没有他的众多杰出的机器学习领域的学生的帮助,可能这项工作到现在还没有结果。很遗憾王珏研究员于 2014年 12月死于癌症,终年 66岁,已不能看到他努力的结果。然而,他的思想活在他的学生们的工作中,与本书的出版同在。
Daphne Koller
(复杂系统管理与控制国家重点实验室王晓翻译)
Statistical Rethinking 豆瓣
作者: Richard McElreath 出版社: Chapman and Hall/CRC 2015
Statistical Rethinking: A Bayesian Course with Examples in R and Stan builds readers’ knowledge of and confidence in statistical modeling. Reflecting the need for even minor programming in today’s model-based statistics, the book pushes readers to perform step-by-step calculations that are usually automated. This unique computational approach ensures that readers understand enough of the details to make reasonable choices and interpretations in their own modeling work.
The text presents generalized linear multilevel models from a Bayesian perspective, relying on a simple logical interpretation of Bayesian probability and maximum entropy. It covers from the basics of regression to multilevel models. The author also discusses measurement error, missing data, and Gaussian process models for spatial and network autocorrelation.
By using complete R code examples throughout, this book provides a practical foundation for performing statistical inference. Designed for both PhD students and seasoned professionals in the natural and social sciences, it prepares them for more advanced or specialized statistical modeling.
Probability Theory 豆瓣 Goodreads
Probability Theory: The Logic of Science
作者: E. T. Jaynes 出版社: Cambridge University Press 2003 - 6
The standard rules of probability can be interpreted as uniquely valid principles in logic. In this book, E. T. Jaynes dispels the imaginary distinction between 'probability theory' and 'statistical inference', leaving a logical unity and simplicity, which provides greater technical power and flexibility in applications. This book goes beyond the conventional mathematics of probability theory, viewing the subject in a wider context. New results are discussed, along with applications of probability theory to a wide variety of problems in physics, mathematics, economics, chemistry and biology. It contains many exercises and problems, and is suitable for use as a textbook on graduate level courses involving data analysis. The material is aimed at readers who are already familiar with applied mathematics at an advanced undergraduate level or higher. The book will be of interest to scientists working in any area where inference from incomplete information is necessary.
Bayesian Reasoning and Machine Learning 豆瓣 Goodreads
作者: David Barber 出版社: Cambridge University Press 2011 - 3
Machine learning methods extract value from vast data sets quickly and with modest resources. They are established tools in a wide range of industrial applications, including search engines, DNA sequencing, stock market analysis, and robot locomotion, and their use is spreading rapidly. People who know the methods have their choice of rewarding jobs. This hands-on text opens these opportunities to computer science students with modest mathematical backgrounds. It is designed for final-year undergraduates and master's students with limited background in linear algebra and calculus. Comprehensive and coherent, it develops everything from basic reasoning to advanced techniques within the framework of graphical models. Students learn more than a menu of techniques, they develop analytical and problem-solving skills that equip them for the real world. Numerous examples and exercises, both computer based and theoretical, are included in every chapter. Resources for students and instructors, including a MATLAB toolbox, are available online.
贝叶斯统计 豆瓣
作者: 茆诗松 / 汤银才 出版社: 中国统计出版社 2012 - 9
《全国统计教材编审委员会"十二五"规划教材:贝叶斯统计(第2版)》不仅与书本知识紧密结合,与课时教学密切配合。而且它在夯实学生基础知识、培养基本技能的同时,更加注重提高学生的发散思维能力。《全国统计教材编审委员会"十二五"规划教材:贝叶斯统计(第2版)》沿着知识、能力、应用的训练主线,层次分明,难易有度,延展有序。
概率论沉思录 豆瓣
作者: 杰恩斯 出版社: 人民邮电出版社 2009 - 4
《概率论沉思录(英文版)》将概率和统计推断融合在一起,用新的观点生动地描述了概率论在物理学、数学、经济学、化学和生物学等领域中的广泛应用,尤其是它阐述了贝叶斯理论的丰富应用,弥补了其他概率和统计教材的不足。全书分为两大部分。第一部分包括10章内容,讲解抽样理论、假设检验、参数估计等概率论的原理及其初等应用;第二部分包括12章内容,讲解概率论的高级应用,如在物理测量、通信理论中的应用。《概率论沉思录(英文版)》还附有大量习题,内容全面,体例完整。
《概率论沉思录(英文版)》内容不局限于某一特定领域,适合涉及数据分析的各领域工作者阅读,也可作为高年级本科生和研究生相关课程的教材。