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Machine Learning in Action
It's been said that data is the new "dirt"—the raw material from which and on which you build the structures of the modern world. And like dirt, data can seem like a limitless, undifferentiated mass. The ability to take raw data, access it, filter it, process it, visualize it, understand it, and communicate it to others is possibly the most essential business problem for the coming decades. "Machine learning," the process of automating tasks once considered the domain of highly-trained analysts and mathematicians, is the key to efficiently extracting useful information from this sea of raw data. By implementing the core algorithms of statistical data processing, data analysis, and data visualization as reusable computer code, you can scale your capacity for data analysis well beyond the capabilities of individual knowledge workers. Machine Learning in Action is a unique book that blends the foundational theories of machine learning with the practical realities of building tools for everyday data analysis. In it, you'll use the flexible Python programming language to build programs that implement algorithms for data classification, forecasting, recommendations, and higher-level features like summarization and simplification. As you work through the numerous examples, you'll explore key topics like classification, numeric prediction, and clustering. Along the way, you'll be introduced to important established algorithms, such as Apriori, through which you identify association patterns in large datasets and Adaboost, a meta-algorithm that can increase the efficiency of many machine learning tasks. -
计算理论导引
本书由计算机理论领域的知名权威Michaael Sipser所撰写。他以独特的视角,系统地介绍了计算机理论的三个主要内容:自动机与语言、可计算性理论和计算复杂性理论。约大部分内容是基本的,同时对可计算性和计算复杂性理论中的某些高级内容进行了重点介绍。作者以清新的笔触、生动的语言给出了宽泛的数学原理,而没有拘泥于某些低层次的细节。在证明之前,均有“证明思路”,帮助读者理解数学形式下涵的概念。同样,对于算法描述,均以直观的文字而非伪代码给出,从而将注意力集中于算法本身,而不是某些模型。新版根据多年来使用本书的教师和学生的建议进行了改进,并对课堂测试题进行了全面的更新,每章末均有样例解答。 本书可作为计算机专业高年级本科生和研究生的教材,也可作为教师和研究人员的参考书。 -
计算机视觉中的数学方法
《计算机视觉中的数学方法》由射影几何、矩阵与张量、模型估计3篇组成,它们是三维计算机视觉所涉及的基本数学理论与方法。射影几何学是三维计算机视觉的数学基础,《计算机视觉中的数学方法》着重介绍射影几何学及其在视觉中的应用,主要内容包括:平面与空间射影几何,摄像机几何,两视点几何,自标定技术和三维重构理论。矩阵与张量是描述和解决三维计算机视觉问题的必要数学工具,《计算机视觉中的数学方法》着重介绍与视觉有关的矩阵和张量理论及其应用,主要内容包括:矩阵分解,矩阵分析,张量代数,运动与结构,多视点张量。模型估计是三维计算机视觉的基本问题,通常涉及变换或某种数学量的估计,《计算机视觉中的数学方法》着重介绍与视觉估计有关的数学理论与方法,主要内容包括:迭代优化理论,参数估计理论,视觉估计的代数方法、几何方法、鲁棒方法和贝叶斯方法。 -
Introductory Combinatorics
Appropriate for one- or two-semester, junior- to senior-level combinatorics courses. This trusted best-seller covers the key combinatorial ideas--including the pigeon-hole principle, counting techniques, permutations and combinations, Polya counting, binomial coefficients, inclusion-exclusion principle, generating functions and recurrence relations, combinatortial structures (matchings, designs, graphs), and flows in networks. The Fifth Edition incorporates feedback from users to the exposition throughout and adds a wealth of new exercises. -
小波与傅里叶分析基础
《小波与傅里叶分析基础(第2版)》的目的主要是向读者展示傅里叶分析和小波的许多基础知识以及在信号分析方面的应用。全书分为8章和3个附录,第0章是学习第1章至第7章的准备知识,即内积空间;第1章讲解傅里叶级数的基础知识;第2章讲解傅里叶变换;第3章介绍离散傅里叶变换及快速傅里叶变换;第4章至第7章讨论小波,重点在于正交小波的构建;附录部分则介绍稍微复杂的一些技术主题、部分习题解答及演示概念或产生图形的MATLAB代码。小波分析的应用领域十分广泛,它包括:数学领域的许多学科;信号分析、图像处理;量子力学、理论物理;军事电子对抗与武器的智能化;计算机分类与识别;音乐与语言的人工合成:医学成像与诊断:地质勘探数据处理;大型机械的故障诊断等方面。 《小波与傅里叶分析基础(第2版)》适用于高校相关院系信号处理专业的研究生和本科生,也可供相关的工程技术人员参考。 点击链接进入英文版: A First Course in Wavelets with Fourier Analysis -
Discrete Mathematics and Its Applications
Discrete Mathematics and its Applications is a focused introduction to the primary themes in a discrete mathematics course, as introduced through extensive applications, expansive discussion, and detailed exercise sets. These themes include mathematical reasoning, combinatorial analysis, discrete structures, algorithmic thinking, and enhanced problem-solving skills through modeling. Its intent is to demonstrate the relevance and practicality of discrete mathematics to all students. The Fifth Edition includes a more thorough and linear presentation of logic, proof types and proof writing, and mathematical reasoning. This enhanced coverage will provide students with a solid understanding of the material as it relates to their immediate field of study and other relevant subjects. The inclusion of applications and examples to key topics has been significantly addressed to add clarity to every subject. True to the Fourth Edition, the text-specific web site supplements the subject matter in meaningful ways, offering additional material for students and instructors. Discrete math is an active subject with new discoveries made every year. The continual growth and updates to the web site reflect the active nature of the topics being discussed. The book is appropriate for a one- or two-term introductory discrete mathematics course to be taken by students in a wide variety of majors, including computer science, mathematics, and engineering. College Algebra is the only explicit prerequisite.