官术网_书友最值得收藏!

Math for Machine Learning

A machine learning user needs to have a fair understanding of machine learning concepts and algorithms. Familiarity with mathematics is an important aspect of machine learning. We learn to program by understanding the fundamental concepts and constructs of a language. Similarly, we learn machine learning by understanding concepts and algorithms using Mathematics, which is used to solve complex computational problems, and is a discipline for understanding and appreciating many computer science concepts. Mathematics plays a fundamental role in grasping theoretical concepts and in choosing the right algorithm. This chapter covers the basics of linear algebra and calculus for machine learning.

In this chapter, we will cover the following topics:

  • Linear algebra
  • Environment setup
    • Setting up the Scala environment in Intellij
    • Setting up the Scala environment on the command line
  • Fields
  • Vectors 
    • Vector spaces
    • Vector types:
      • Dense vector
      • Sparse vector
      • Vectors in Spark
    • Vector operations
    • Hyperplanes
    • Vectors in machine learning
  • Matrices
    • Introduction
    • Matrices types:
      • Dense matrix
      • CSC matrix
      • Matrix in Spark
    • Matrix operations
    • Determinant
    • Eigenvalues and eigenvectors
    • Singular value decomposition
    • Matrices in machine learning
  • Functions
    • Definition
    • Function types:
      • Linear functions
      • Polynomial functions
      • Identity functions
      • Constant functions
      • Probability distribution functions
      • Gaussian functions
    • Functional composition
    • Hypothesis
    • Gradient descent
    • Prior, likelihood, and posterior
  • Calculus
    • Differential calculus
    • Integral calculus
    • Lagrange multipliers
  • Plotting
主站蜘蛛池模板: 绍兴县| 汉中市| 津南区| 大田县| 桐乡市| 汽车| 博客| 新兴县| 汉寿县| 嘉善县| 博乐市| 桂阳县| 临朐县| 禄劝| 贞丰县| 崇仁县| 神木县| 登封市| 尚义县| 龙山县| 南岸区| 两当县| 德清县| 张家界市| 赞皇县| 嘉黎县| 神池县| 海丰县| 阜康市| 阿瓦提县| 象山县| 周宁县| 博兴县| 武陟县| 钦州市| 成都市| 南充市| 昆明市| 来宾市| 濮阳市| 水富县|