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claude-codescience

Babysitter polynomial-chaos-expansion

Polynomial chaos for uncertainty propagation

install
source · Clone the upstream repo
git clone https://github.com/a5c-ai/babysitter
Claude Code · Install into ~/.claude/skills/
T=$(mktemp -d) && git clone --depth=1 https://github.com/a5c-ai/babysitter "$T" && mkdir -p ~/.claude/skills && cp -r "$T/library/specializations/domains/science/mathematics/skills/polynomial-chaos-expansion" ~/.claude/skills/a5c-ai-babysitter-polynomial-chaos-expansion && rm -rf "$T"
manifest: library/specializations/domains/science/mathematics/skills/polynomial-chaos-expansion/SKILL.md
tags
#uncertainty-quantification#mathematics#stochastic-modeling#chaospy#sensitivity-analysis
source content

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