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Polynomial chaos expansion

Skill a5c-ai/babysitter/library/specializations/domains/science/mathematics/skills/polynomial-chaos-expansion

Polynomial chaos for uncertainty propagationFrom its SKILL.md

Install
npx -y skills add a5c-ai/babysitter --skill polynomial-chaos-expansion

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SKILL.md

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Polynomial Chaos Expansion

Purpose

Provides polynomial chaos expansion methods for efficient uncertainty propagation in computational models.

Capabilities

  • Generalized polynomial chaos bases
  • Sparse PCE construction
  • Adaptive basis selection
  • PCE-based sensitivity indices
  • Low-rank tensor approximation
  • Stochastic Galerkin projection

Usage Guidelines

  1. Basis Selection: Match basis to input distributions
  2. Truncation: Choose appropriate polynomial order
  3. Sparsity: Exploit sparsity for high dimensions
  4. Sensitivity: Extract Sobol indices from PCE coefficients

Tools/Libraries

  • Chaospy
  • UQLab
  • OpenTURNS

What ships with it

Read from the repository

Just SKILL.md. No reference files, no scripts.

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