Polynomial Chaos Expansion
SkillDev toolsPolynomial chaos for uncertainty propagation
Instructions available. Your AI can read the instructions. Execution depends on the setup they require.
Account requirements not reviewed. Check the skill instructions before use; ahel provides instructions and does not run this skill.
Add ahel to your AI once: Claude, ChatGPT, Cursor, Claude Code or Codex. Then ask it to use this.
Then ask your AI: use the Polynomial Chaos Expansion skill
What this skill tells your AI
The instructions your AI receives, as published by a5c-ai/babysitter in library/specializations/domains/science/mathematics/skills/polynomial-chaos-expansion/SKILL.md and read by ahel’s review.
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
- Basis Selection: Match basis to input distributions
- Truncation: Choose appropriate polynomial order
- Sparsity: Exploit sparsity for high dimensions
- Sensitivity: Extract Sobol indices from PCE coefficients
Tools/Libraries
- Chaospy
- UQLab
- OpenTURNS
Signals
- GitHub stars
- 2k
- Forks
- 112
- Last commit
- Sep 2026
Advanced
- Item type
- skill
- Key
polynomial-chaos-expansion- Source
- github.com/a5c-ai/babysitter