What you’ll learn
- Python Implementation of Gradient Descent Optimizer to Train Single Variable Linear Regression Model.
- Python Implementation of Gradient Descent Optimizer to Train Multi Variable Linear Regression Model.
- Python Implementation of Stochastic Gradient Descent (SGD) for Single Variable LR.
- Python Implementation of SGD for Multi-Variable LR.
- Python Implementation of Mini-Batch GD for Single and Multi-Variable LR.
- Generalization of Mini-Batch to Work as SGD and Batch GD.
- Generalization of Multi-Variable LR to Work for Single Variable LR.
- Numerical Optimization Problem Definition.
- Model Parameters Initialization.
- Calculating MSE Cost Function as Vector Norm.
- How to Calculate the Gradient?
- Model Parameters Update.
- Iterate Till Achieving the Optimum Parameter Values.
- Gradient Stop Condition.
- Model Performance Evaluation.
- How to Obtain Better Model Performance?
- Plotting of Learning Curves.
- Cost Convergence Check.
- Make Your Implementation as a Function.
- Multivariable Linear Regression Problem Definition.
- Going from Single Variable to Multivariable Linear Regression.
- Gradient Descent Optimizer Vectorize Implementation.
- Why We Use Vectorize Implementation.
- Generalization of the Implementation to Work for Single and Multivariable Linear Regression.
- Data Preparation for Vectorize Implementation.
- Dimensions Problem and How to Deal With it.
- Make Your Implementation of Vectorize Implementation as a Function.
- Try Different Combinations of Hyperparameters.
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