From household appliances to applications in robotics, engineered systems involving complex dynamics can only be as effective as the algorithms that control them. While Dynamic Programming (DP) has provided researchers with a way to optimally solve decision and control problems involving complex dynamic systems, its practical value was limited by algorithms that lacked the capacity to scale up to realistic problems.
However, in recent years, dramatic developments in Reinforcement Learning (RL), the model-free counterpart of DP, changed our understanding of what is possible. Those developments led to the creation of reliable methods that can be applied even when a mathematical model of the system is unavailable, allowing researchers to solve challenging control problems in engineering, as well as in a variety of other disciplines, including economics, medicine, and artificial intelligence.
Reinforcement Learning and Dynamic Programming Using Function Approximators provides a comprehensive and unparalleled exploration of the field of RL and DP. With a focus on continuous-variable problems, this seminal text details essential developments that have substantially altered the field over the past decade. In its pages, pioneering experts provide a concise introduction to classical RL and DP, followed by an extensive presentation of the state-of-the-art and novel methods in RL and DP with approximation. Combining algorithm development with theoretical guarantees, they elaborate on their work with illustrative examples and insightful comparisons. Three individual chapters are dedicated to representative algorithms from each of the major classes of techniques: value iteration, policy iteration, and policy search. The features and performance of these algorithms are highlighted in extensive experimental studies on a range of control applications.
The recent development of applications involving complex systems has led to a surge of interest in RL and DP methods and the subsequent need for a quality resource on the subject. For graduate students and others new to the field, this book offers a thorough introduction to both the basics and emerging methods. And for those researchers and practitioners working in the fields of optimal and adaptive control, machine learning, artificial intelligence, and operations research, this resource offers a combination of practical algorithms, theoretical analysis, and comprehensive examples that they will be able to adapt and apply to their own work.
Access the authors' website at www.dcsc.tudelft.nl/rlbook/ for additional material, including computer code used in the studies and information concerning new developments.
Lucian Busoniu is a postdoctoral fellow at the Delft Center for Systems and Control of Delft University of Technology, in the Netherlands. He received his PhD degree (cum laude) in 2009 from the Delft University of Technology, and his MSc degree in 2003 from the Technical University of Cluj-Napoca, Romania. His current research interests include reinforcement learning and dynamic programming with function approximation, intelligent and learning techniques for control problems, and multi-agent learning.
Robert Babuska Robert Babuska is a full professor at the Delft Center for Systems and Control of Delft University of Technology in the Netherlands. He received his PhD degree (cum laude) in Control in 1997 from the Delft University of Technology, and his MSc degree (with honors) in Electrical Engineering in 1990 from Czech Technical University, Prague. His research interests include fuzzy systems modeling and identification, data-driven construction and adaptation of neuro-fuzzy systems, model-based fuzzy control and learning control. He is active in applying these techniques in robotics, mechatronics, and aerospace.
Bart De Schutter Bart De Schutter is a full professor at the Delft Center for Systems and Control and at the Marine & Transport Technology department of Delft University of Technology in the Netherlands. He received the PhD degree in Applied Sciences (summa cum laude with congratulations of the examination jury) in 1996 from K.U. Leuven, Belgium. His current research interests include multi-agent systems, hybrid systems control, discrete-event systems, and control of intelligent transportation systems.
Damien Ernst Damien Ernst received the MSc and PhD degrees from the University of Li�ge in 1998 and 2003, respectively. He is currently a Research Associate of the Belgian FRS-FNRS and he is affiliated with the Systems and Modeling Research Unit of the University of Li�ge. Damien Ernst spent the period 2003--2006 with the University of Li�ge as a Postdoctoral Researcher of the FRS-FNRS and held during this period positions as visiting researcher at CMU, MIT and ETH. He spent the academic year 2006--2007 working at Sup�lec (France) as professor. His main research interests are in the fields of power system dynamics, optimal control, reinforcement learning, and design of dynamic treatment regimes.
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这本书给人的整体感觉是沉稳、厚重,像是一部立足于经典理论,放眼于未来挑战的学术巨著。它最大的价值在于提供了一个稳定的理论框架,让读者在面对不断涌现的新算法和新模型时,能够迅速定位新方法的理论归属和潜在风险。我注意到书中在处理函数逼近时,强调了线性逼近和非线性逼近的根本区别,以及这种区别对解的唯一性和存在性的影响。这种对基础数学性质的执着探究,使得全书的论证无懈可击。对于那些已经对强化学习有一些初步了解,但渴望突破现有瓶颈,进入更深层次研究的学者来说,这本书无疑是一本不可或缺的案头工具书。它不是那种读完一遍就可以束之高阁的读物,而是需要反复研读、在不同阶段会有不同体会的经典之作,其对原理的精雕细琢,保证了其长久的学术生命力。
评分作为一个在工程领域摸爬滚打多年的实践者,我通常更关注算法的鲁棒性和实际部署的效率。这本书在这方面也给了我不少启发。虽然它偏向理论,但作者在讨论函数逼近器时,并没有回避实际应用中的“陷阱”。例如,关于函数逼近器的选择、误差的界定以及如何避免收敛性问题,都有独到的见解。我发现书中对于如何在高维空间中保持策略的平滑性以及处理函数近似带来的偏差(bias)和方差(variance)权衡的讨论,非常具有实操指导意义。很多时候,理论上的最优策略在实践中会因为逼近器的限制而失效,而这本书似乎预料到了这些问题,并提前提供了理论上的应对思路,这让我在设计实验时可以更有信心。它不是一本教你“如何敲代码”的书,而是一本教你“如何思考”的书,帮助你从根本上理解为什么某些方法有效,而另一些方法容易失败。
评分这本书的行文风格非常古典且严谨,充满了数学推导的魅力,但同时又保持着一种令人信服的逻辑连贯性。它不像市面上一些快餐式的入门读物,追求快速覆盖所有前沿技术。相反,作者似乎更致力于挖掘问题的“根源”,力求让读者对强化学习的理论基础有一个坚不可摧的认知。在阅读过程中,我经常需要停下来,仔细推敲每一个定义和定理的证明过程,这使得阅读进度相对较慢,但带来的知识沉淀却是无比扎实的。特别是对随机过程和马尔可夫决策过程的背景知识回顾部分,虽然看似是“老生常谈”,但作者的叙述角度非常独特,成功地将这些基础概念与后续的逼近器问题紧密地联系起来,形成了一个有机的整体。对于那些希望深入研究算法收敛性、渐近行为等高级主题的读者而言,这本书提供的理论深度是其他教材难以比拟的。
评分这本书的书名本身就带有一种强烈的学术气息,让人联想到严谨的数学推导和复杂的算法实现。我原本以为它会是一本专注于讲解如何构建和优化函数逼近器的工具书,内容会偏向于编程实现和具体框架的使用。然而,当我真正翻开这本书时,我发现它远不止于此。作者的笔触非常细腻,不仅仅是罗列公式,更重要的是深入剖析了动态规划和强化学习之间的内在联系。书中对贝尔曼方程的阐述极为透彻,无论是经典的价值迭代还是策略迭代,都被赋予了深刻的理论支撑,读起来不像是在看一本纯粹的教科书,更像是在跟随一位经验丰富的导师进行一次深入的思维漫步。特别是关于如何处理高维状态空间的讨论,作者并没有简单地依赖于现成的深度学习框架,而是花了大量篇幅去探讨理论上的挑战和可能的解决方案,这对于希望构建扎实理论基础的研究者来说,无疑是一份宝贵的财富。整本书的结构安排得很有条理,从基础概念的建立到复杂算法的演化,每一步都铺垫得恰到好处,阅读体验非常流畅,让人感觉自己是在一步步搭建起对整个领域的理解框架。
评分这本书给我的最大震撼在于其对“动态规划”这一核心思想的重新审视和现代化解读。很多介绍强化学习的书籍往往在早期就急于引入神经网络等现代工具,导致读者对底层的决策过程理解不够深入。但这本书却反其道而行之,它将动态规划放在了极其重要的位置,详细阐述了其在解决最优控制问题上的强大能力。作者似乎在强调,无论后续使用何种逼近器,理解动态规划的原理都是至关重要的基石。我尤其欣赏作者在讲解蒙特卡洛方法和TD学习时,如何巧妙地将它们与传统的动态规划框架进行对比和融合。这种对比不仅凸显了不同方法的优缺点,更重要的是揭示了学习过程是如何从完全模型依赖逐步过渡到模型无关的。书中的图表和例子设计得非常精妙,它们往往能用最简洁的方式捕捉到问题的本质,避免了冗长而晦涩的数学语言的干扰,让初学者也能迅速抓住重点,这种教学上的匠心值得称赞。
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