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数学

Lagrange Multipliers Explained: Optimization with Equality Constraints

Introduction Mathematical optimization is the minimization (or maximization) of a function under given constraint condit...
プログラミング

Hard Margin SVM from Scratch in Python: Implementation & Examples

Introduction In the previous article, we discussed the theory of Hard Margin SVM.Based on that, this time we will implem...
機械学習

Hard Margin SVM Explained: Theory and Derivation

Introduction Support Vector Machine (SVM) is a type of supervised machine learning algorithm for pattern recognition.Bas...
数学

The Distance Between A Point And A Hyperplane

Derive the distance between a point and a hyperplane, which is the general form of the distance between a point and a line.
プログラミング

【Python】Implementation Of Logistic Regression

Logistic regression is implemented using full scratch and scikit-learn. In this section, we will implement it using Python.
数学

Vector Differentiation Formulas: Complete Derivation

IntroductionWhen studying machine learning theory, you often encounter operations that differentiate a scalar with respe...
機械学習

Logistic Regression Explained: Theory

IntroductionWhen the target variable $y$ is binary data (for example, $y = 0, 1$), this is a type of prediction model fo...
プログラミング

Principal Component Analysis (PCA), Python Code

IntroductionIn my previous article, I discussed the theory of principal component analysis. In this article, we will imp...
機械学習

Understanding Principal Component Analysis (PCA): Theory

IntroductionPrincipal Component Analysis is a method that summarizes multidimensional data with correlated features into...
確率・統計学

Transformation of Random Variables: Proofs and Examples

Consider the transformation of a random variable X into Y = g(X) to derive the form of the transformed probability density function.