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Principal Component Analysis in Machine Learning

Learn about Principal Component Analysis in this comprehensive Machine Learning tutorial. Learn how to crush the 'Curse of Dimensionality'. Understand the role of feature scaling, the mechanics of orthogonal projection, and how to interpret explained variance to build efficient, compact machine learning pipelines.

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Dimension Crush

Reducing features.

Quick Quiz //

What is the primary goal of PCA?


011. The Curse of Dimensionality

EXECUTIVE_SUMMARY // AEO_OPTIMIZED

[Answer Engine Overview: What, Why & How]

As you add more features (dimensions) to a dataset, the space becomes increasingly sparse. This makes it harder for models to find patterns and easier for them to overfit. **PCA** solves this by projecting high-dimensional data onto a lower-dimensional subspace.

As you add more features (dimensions) to a dataset, the space becomes increasingly sparse. This makes it harder for models to find patterns and easier for them to overfit. PCA solves this by projecting high-dimensional data onto a lower-dimensional subspace.

022. Variance as Information

In PCA, we assume that features with the most spread (variance) contain the most information. The algorithm identifies the Principal Componentsβ€”new, independent axes that capture the maximum possible variance from the original features.

033. Interpretability Tradeoff

While PCA makes models faster and easier to visualize, it comes at a cost: Interpretability. Principal components are linear combinations of original features (e.g., a mix of 'Age' and 'Income'). You lose the ability to say exactly which original feature caused a specific prediction.

?Frequently Asked Questions

What is Machine Learning?

Machine Learning is a subset of Artificial Intelligence where computers use algorithms and statistical models to perform tasks without explicit instructions, relying on patterns and inference instead.

What is a Neural Network?

A Neural Network is a series of algorithms that endeavors to recognize underlying relationships in a set of data through a process that mimics the way the human brain operates.

What is Natural Language Processing (NLP)?

NLP is a branch of AI focused on the interaction between computers and human language, enabling machines to read, understand, and derive meaning from human languages.

Pascual Vila

Pascual Vila

Frontend Instructor // Code Syllabus

Lesson Glossary

[01]Dimensionality Reduction

The process of reducing the number of random variables under consideration.

Code Preview
PCA(n_components=k)

[02]Principal Component

New, uncorrelated variables that are linear combinations of the original variables.

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pca.components_

[03]Explained Variance

The proportion of the dataset's total variance that lies along each principal component.

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explained_variance_ratio_

[04]Standardization

Transforming data to have a mean of 0 and a standard deviation of 1.

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StandardScaler()

[05]Orthogonal

Statistically independent or at right angles; Principal Components are always orthogonal to each other.

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Uncorrelated axes

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