Polynomial Chaos Expansion
SkillDev toolsPolynomial chaos for uncertainty propagation
Use Polynomial Chaos Expansion in Claude, ChatGPT or Ahel Desktop
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Details
Instructions available. Your AI can read the instructions. Execution depends on the setup they require.
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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
- 113
- Last commit
- Sep 2026
Advanced
- Item type
- skill
- Key
polynomial-chaos-expansion- Source
- github.com/a5c-ai/babysitter