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Published on 2024-4-23 21:40
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For an introduction to the least squares method in machine learning, here is a study outline:1. Linear Regression BasicsUnderstand the basic concepts and principles of linear regression.Master the representation and assumptions of linear regression models.2. Principle of least squares methodLearn the basic principle of least squares method, which is to estimate model parameters by minimizing the sum of squared residuals.Master the mathematical derivation process of the least squares method.3. Univariate Linear RegressionLearn univariate linear regression models, that is, models with only one independent variable and one dependent variable.Univariate linear regression models were fitted using the least squares method and model evaluation was performed.4. Multivariate Linear RegressionExtended to multivariate linear regression models, that is, cases with multiple independent variables and one dependent variable.Learn how to fit multivariate linear regression models using the method of least squares and perform model evaluation.5. Model evaluation and selectionUnderstand common indicators for model evaluation, such as mean square error (MSE), mean absolute error (MAE), and coefficient of determination (R^2).Learn how to choose the optimal linear regression model and avoid overfitting and underfitting problems.6. Practical ProjectsComplete a practical project on linear regression, such as house price prediction or sales volume prediction.Analyze the model's predictions, evaluate the model's performance and make recommendations for improvements.7. Extension and ApplicationUnderstand the application scenarios of linear regression in practical problems, such as risk assessment and market forecasting in the financial field.Explore other types of regression models, such as ridge regression and lasso regression, and how they relate to the method of least squares.The above is an outline for the introduction to the least squares method. I hope it can help you understand and apply linear regression models and their basic principles. I wish you good luck in your study!
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