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YiSu Grain

A fleeting mayfly in the world, a single grain in the boundless sea.

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Latest from YiSu Grain

83 recent articles

YiSu Grain

Oct 9, 2024 · Artificial Intelligence

Implementing Linear Regression with scikit-learn and Comparing to Gradient Descent

This article demonstrates how to build a multivariate linear regression model using scikit-learn's LinearRegression class, visualizes the results, and then compares the implementation, parameter optimization, prediction accuracy, and visualization with a manually coded gradient descent approach.

LinearRegressionPythongradient descent

0 likes · 7 min read

Implementing Linear Regression with scikit-learn and Comparing to Gradient Descent

YiSu Grain

Oct 9, 2024 · Fundamentals

Implement Multivariate Linear Regression with Gradient Descent and 3D Visualization in Python

This tutorial walks through loading a delivery‑time CSV dataset, defining a multivariate linear regression model, computing mean‑squared error, optimizing parameters with gradient descent, and visualizing the fitted plane alongside the data points in a 3‑D Matplotlib plot.

Data VisualizationLinear RegressionNumPy

0 likes · 8 min read

Implement Multivariate Linear Regression with Gradient Descent and 3D Visualization in Python

YiSu Grain

Sep 29, 2024 · Artificial Intelligence

Finding the ‘Heavenly Path’ of Data Points: A Linear Regression Walkthrough

This article walks through linear regression by visualizing scattered data points, defining the line y = ax + b, deriving the mean‑squared‑error cost function, computing its gradients with the chain rule, and implementing gradient descent in Python to find the optimal parameters.

Linear RegressionPythoncost function

0 likes · 11 min read

Finding the ‘Heavenly Path’ of Data Points: A Linear Regression Walkthrough