Prompt
Check a dataset before analysis
Find missing values, inconsistent formats, duplicates, and questions that could invalidate results.
ClaudeChatGPTGeminiData & Analytics
Dave AI
Polynomial Chaos Expansion
Polynomial chaos for uncertainty propagation
instructions.md
--- name: polynomial-chaos-expansion-28ca312000f5 description: Polynomial chaos for uncertainty propagation allowed-tools: - Bash - Read - Write - Edit - Glob - Grep metadata: specialization: mathematics domain: science category: uncertainty-quantification phase: 6 graph: domains: [domain:mathematics] specializations: [specialization:computational-mathematics] skillAreas: [skill-area:statistical-analysis, skill-area:mathematical-reasoning, skill-area:data-analysis] workflows: [workflow:experiment-design] roles: [role:research-scientist, role:data-scientist] --- # 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--- name: polynomial-chaos-expansion-28ca312000f5 description: Polynomial chaos for uncertainty propagation allowed-tools: - Bash - Read - Write - Edit - Glob - Grep metadata: specialization: mathematics domain: science category: uncertainty-quantification phase: 6 graph: domains: [domain:mathematics] specializations: [specialization:computational-mathematics] skillAreas: [skill-area:statistical-analysis, skill-area:mathematical-reasoning, skill-area:data-analysis] workflows: [workflow:experiment-design] roles: [role:research-scientist, role:data-scientist] --- # 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
Platform guidance
Imported from the listed AgentSkill.sh category. Complete supplied package files and notices are retained. Required external tools and credentials are not installed. No bundled code was executed during import. Individual agent task behavior has not been tested.