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Dimensionality Reduction

skill-ericwang915-data-scientist-skills-dimensionality-reduction · by ericwang915

Reduce feature dimensions: PCA, t-SNE, UMAP, SVD, and autoencoders. Use for visualization of high-dimensional data, noise reduction, feature compression, and as preprocessing for downstream ML models.

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Install

$ agentstack add skill-ericwang915-data-scientist-skills-dimensionality-reduction

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Security review

✓ Passed

No issues found. Passed automated security review. · v0.1.0 How review works →

  • Prompt-injection patterns
  • Secret / credential exfiltration
  • Dangerous shell & filesystem operations
  • Untrusted network calls
  • Known-malicious package signatures

What it can access

  • Network access No
  • Filesystem access No
  • Shell / process execution No
  • Environment & secrets No
  • Dynamic code execution No

From automated source analysis of v0.1.0. “Used” means the capability is present in the source — more access means more to trust, not that it’s unsafe.

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Reliability & compatibility

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Declared compatibility

Claude CodeClaude Desktop

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About

Dimensionality Reduction

Purpose

Reduce the number of features while preserving important structure. Essential for visualization, denoising, and preprocessing.

How It Works

Method Selection

| Method | Preserves | Best For | Linear? | |--------|-----------|----------|---------| | PCA | Global variance | Feature compression, denoising | Yes | | t-SNE | Local structure | 2D/3D visualization | No | | UMAP | Local + global | Visualization, clustering prep | No | | SVD | Variance | Sparse data, NLP (LSA) | Yes | | LDA | Class separation | Supervised dimensionality reduction | Yes | | Autoencoder | Learned representation | Complex non-linear compression | No |

PCA Workflow

  1. Standardize features
  2. Compute covariance matrix and eigenvalues
  3. Choose components: explained variance ≥ 85-95%
  4. Transform and validate (scree plot, biplot)

t-SNE / UMAP Workflow

  1. Apply PCA first if >50 features (speed)
  2. Tune perplexity (t-SNE) or n_neighbors (UMAP)
  3. Generate 2D/3D embedding
  4. Color by labels or clusters for interpretation

Usage Examples

"Visualize this 50-feature customer dataset in 2D to see if
natural clusters exist"
"Reduce 200 features to the most important 20 using PCA
before training a model"

Output Format

  • Method Choice: Rationale for selected approach
  • Explained Variance: Scree plot, cumulative variance
  • Visualization: 2D/3D scatter plot of reduced space
  • Python Code: sklearn / umap-learn implementation

Source & license

This open-source skill is cataloged on AgentStack and links to its original source — we do not rehost the code.

Install and usage instructions live in the source repository linked above.

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Versions

  • v0.1.0 Imported from the upstream source.