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Expand Up @@ -39,15 +39,15 @@ The book covers foundational concepts of machine learning. It also introduces th

### Chapter 1: Machine Learning Basics

 1.1 Machine Learning
 1.1 **Machine Learning**

  1.1.1 Experience

  1.1.2 Task

  1.1.3 Performance Measure

 1.2 Machine Learning Paradigms
 1.2 **Machine Learning Paradigms**

  1.2.1 Supervised Learning

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  1.2.4 Reinforcement Learning

 1.3 Maximum Likelihood Estimation
 1.3 **Maximum Likelihood Estimation**

 1.4 Elements of a Machine Learning Algorithm
 1.4 **Elements of a Machine Learning Algorithm**

  1.4.1 Data

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  1.4.5 Regularizer

 1.5 Bias and Variance Trade-Off
 1.5 **Bias and Variance Trade-Off**

 1.6 Why Deep Learning?
 1.6 **Why Deep Learning?**

  1.6.1 Curse of Dimensionality

  1.6.2 Invalid Smoothness Assumption

  1.6.3 Deep Learning Advantages

 1.7 Summary
 1.7 **Summary**

### Chapter 2: Essential Math

 2.1 Linear Algebra
 2.1 **Linear Algebra**

  2.1.1 Matrices and Vectors

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  2.1.4 Norms

 2.2 Probability Theory
 2.2 **Probability Theory**

  2.2.1 Joint Probability

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  2.2.5 Bayes Rule

 2.3 Differential Calculus
 2.3 **Differential Calculus**

  2.3.1 Function

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  2.3.5 Differentiation of Matrix Function

 2.4 Summary
 2.4 **Summary**

### Chapter 3: Differentiable Programming

 3.1 Swift is Everywhere
 3.1 **Swift is Everywhere**

 3.2 Swift for TensorFlow
 3.2 **Swift for TensorFlow**

 3.3 Algorithmic Differentiation
 3.3 **Algorithmic Differentiation**

  3.3.1 Programming Approaches

  3.3.2 Accumulation Modes

  3.3.3 Implementation Approaches

 3.4 Swift Language
 3.4 **Swift Language**

  3.4.1 Values

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  3.4.9 Differentiation

 3.5 Python Interoperability
 3.5 **Python Interoperability**

 3.6 Summary
 3.6 **Summary**

### Chapter 4: TensorFlow Basics

 4.1 Tensor
 4.1 **Tensor**

 4.2 Dataset Loading
 4.2 **Dataset Loading**

  4.2.1 Epochs and Batches

 4.3 Defining Model
 4.3 **Defining Model**

  4.3.1 Neural Network Protocols

  4.3.2 Sequence of Layers

 4.4 Training and Testing
 4.4 **Training and Testing**

  4.4.1 Checkpointing

  4.4.2 Model Optimization

  4.4.3 TrainingLoop

 4.5 From Scratch for Research
 4.5 **From Scratch for Research**

  4.5.1 Layer

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  4.5.4 Optimizer

 4.6 Summary
 4.6 **Summary**

### Chapter 5: Neural Networks

 5.1 Gradient-Based Optimization
 5.1 **Gradient-Based Optimization**

  5.1.1 Maxima, Minima, and Saddle Points

  5.1.2 Input Optimization

  5.1.3 Parameters Optimization

 5.2 Linear Models
 5.2 **Linear Models**

  5.2.1 Regression

  5.2.2 Classification

 5.3 Deep Neural Network
 5.3 **Deep Neural Network**

  5.3.1 Dense Neural Network

 5.4 Activation Functions
 5.4 **Activation Functions**

  5.4.1 Sigmoid

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  5.4.6 SELU

 5.5 Loss Functions
 5.5 **Loss Functions**

  5.5.1 Sum of Squares

  5.5.2 Sigmoid Cross-Entropy

  5.5.3 Softmax Cross-Entropy

 5.6 Optimization
 5.6 **Optimization**

  5.6.1 Gradient Descent

  5.6.2 Momentum

 5.7 Regularization
 5.7 **Regularization**

  5.7.1 Dataset

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  5.7.4 Optimization

 5.8 Summary
 5.8 **Summary**

### Chapter 6: Computer Vision

 6.1 Convolutional Neural Network
 6.1 **Convolutional Neural Network**

  6.1.1 Convolution Layer

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  6.1.4 Upsampling

 6.2 Prominent Features
 6.2 **Prominent Features**

  6.2.1 Local Connectivity

  6.2.2 Parameter Sharing

  6.2.3 Translation Equivariance

 6.3 Shortcut Connection
 6.3 **Shortcut Connection**

 6.4 Image Recognition
 6.4 **Image Recognition**

 6.5 Conclusion
 6.5 **Conclusion**

### References

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