WHERE FUTURE BEGINS
  • ṢELF ḌEEP ḶEARNING
  • LSE MBA Essentials - The London School of Economics
    • Leading with influence
    • Economics for managers
    • Competitive strategy
    • Corporate strategy
    • Financial accounting
    • Management accounting
    • Analysing financial statements
    • In the mind of the manager
    • Nudging behaviour
    • Organisational culture as a leadership tool
  • Business Foundations Specialization - Wharton Online
    • Introduction to Marketing
      • BRANDING: Marketing Strategy and Brand Positioning
      • Marketing 101: Building Strong Brands Part I
      • Marketing 101: Building Strong Brands Part II
      • Strategic Marketing
      • Segmentation and Targeting
      • Brand Positioning
      • Brand Mantra: The Elevator Speech
      • Experiential Branding
      • CUSTOMER CENTRICITY: The Limits of Product-Centric Thinking
      • Cracks in the Product-Centric Approach
      • Data-Driven Business Models
      • Three Cheers for Direct Marketing
      • Which Firms Are Customer Centric?
      • What is Customer Centricity?
      • Living in a Customer-Centric World
      • More Reflections on Customer CentricityPrev
      • Questions on Customer Centricity
      • GO TO MARKET STRATEGIES: Online-Offline Interaction
      • Online/Offline Competition
      • Friction
      • The Long Tail Theory
      • Preference Isolation
      • How Internet Retailing Startups Grow
      • Customers and Digital Marketing
      • Influence and How Information Spreads
      • Pricing Strategies
      • The 7M
      • BRANDING: Effective Brand Communications Strategies and Repositioning Strategies
      • Brand Messaging & Communication
      • Brand Elements: Choosing a Brand Name
      • Brand Elements: Color & Taglines
      • Brand Elements: Packaging
      • Brand Elements: Persuasion
      • Repositioning a Brand
    • Introduction to Financial Accounting
      • 1.1.1: Financial Reporting Overview
      • 1.1.2: Financial Reporting Example
    • Managing Social and Human Capital
      • Professor Cappelli and Professor Useem Introductions
    • Introduction to Corporate Finance
      • Time Value of Money
      • Intuition and Discounting
      • Compounding
      • Useful Shortcuts
      • Taxes
      • Inflation
      • APR and EAR
      • Term Structure
      • Discounted Cash Flow: Decision Making
      • Discounted Cash Flow Analysis
      • Forecast Drivers
      • Forecasting Free Cash Flow
      • Decision Criteria
      • Sensitivity Analysis
      • Return on Investment
    • Introduction to Operations Management
    • Wharton Business Foundations Capstone
  • Artificial Intelligence Career Program - deeplearning.ai
    • Machine Learning
      • Introduction to Machine Learning
      • Supervised Learning
      • Unsupervised Learning
      • Model Representation - Linear Regression
      • Cost Function
      • Gradient Descent
      • Gradient Descent For Linear Regression
      • Linear Algebra
    • Deep Learning
    • Neutral Networks and Deep Learning
      • Introduction to Deep Learning
      • What is a neural network?
      • Supervised Learning with Neural Networks
      • Why is Deep Learning taking off?
      • About this Course
      • Binary Classification
      • Logistic Regression
      • Gradient Descent
      • Derivatives
      • Computation graph
      • Derivatives with a Computation Graph
      • Logistic Regression Gradient Descent
      • Vectorization
      • Vectorizing Logistic Regression
      • Vectorizing Logistic Regression's Gradient Output
      • Broadcasting in Python
      • A note on python/numpy vectors
      • Explanation of logistic regression cost function (optional)
      • Neural Networks Overview
      • Neural Network Representation
      • Computing a Neural Network's Output
      • Vectorizing across multiple examples
      • Activation functions
      • Derivatives of activation functions
      • Gradient descent for Neural Networks
      • Backpropagation intuition (optional)
      • Random Initialization
      • Deep L-layer neural network
      • Forward Propagation in a Deep Network
      • Getting your matrix dimensions right
      • Why deep representations?
      • Building blocks of deep neural networks
      • Forward and Backward Propagation
      • Parameters vs Hyperparameters
      • What does this have to do with the brain?
    • Convolutional Neural Networks
      • Computer Vision
      • Edge Detection Example
      • Padding
      • Strided Convolutions
      • Convolutions Over Volume
      • One Layer of a Convolutional Network
      • Simple Convolutional Network Example
      • Pooling Layers
      • CNN Example - Fully Connected Layers
      • Why Convolutions?
    • Neural Network Theory [ETH]
    • Natural Language Processing
    • Computer Vision
  • IBM Data Science Professional Certificate
    • What is Data Science?
    • Open Source tools for Data Science
    • Data Science Methodology
    • Python for Data Science and AI
    • Databases and SQL for Data Science
    • Data Analysis with Python
    • Data Visualization with Python
    • Machine Learning with Python
    • Applied Data Science Capstone
  • Data Analytics
    • Python for Data Analysis
    • Data Structure and Algorithms
  • Programming Language
    • Python
    • R
    • SQL
    • C++
    • C
    • Java
    • HTML
  • 机器学习工程师
  • 商业数据分析
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  1. Artificial Intelligence Career Program - deeplearning.ai
  2. Machine Learning

Gradient Descent For Linear Regression

梯度下降算法和 线性回归模型 & 平方误差代价函数

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Last updated 5 years ago

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所以 让我们来看看梯度下降是如何工作的 我们用梯度下降解决问题的一个原因是 它更容易得到 局部最优值 当我第一次解释梯度下降时 我展示过这幅图 在表面上不断下降 并且我们知道了 根据你的初始化 你会得到不同的局部最优解 你知道 最后可能会到这里 到这里 但是事实证明 用于线性回归的代价函数 总是这样一个弓形的样子 这个函数的专业术语是凸函数

Only global optimum for cost function of linear regression

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Lecture Slides 2