II.
LibraryProcess overview
Reference · livelib-process:mathematics--uncertainty-quantification
uncertainty-quantification overview
Quantify uncertainty in mathematical models through sensitivity analysis, parameter uncertainty propagation, and Monte Carlo methods.
Attributes
displayName
uncertainty-quantification
description
Quantify uncertainty in mathematical models through sensitivity analysis,
parameter uncertainty propagation, and Monte Carlo methods.
libraryPath
library/specializations/domains/science/mathematics/uncertainty-quantification.js
specialization
mathematics
references
- - Smith, Uncertainty Quantification: Theory, Implementation, and Applications - Saltelli et al., Global Sensitivity Analysis - Sullivan, Introduction to Uncertainty Quantification - Xiu, Numerical Methods for Stochastic Computations
example
const result = await orchestrate('specializations/domains/science/mathematics/uncertainty-quantification', {
model: { type: 'ODE', equations: ['dx/dt = r*x*(1-x/K)'] },
uncertainParameters: [{ name: 'r', distribution: 'normal', mean: 0.5, std: 0.1 }, { name: 'K', distribution: 'uniform', min: 90, max: 110 }],
outputsOfInterest: ['x_steady_state', 'time_to_half_capacity'],
method: 'monte-carlo'
});
usesAgents
- uq-specialist
Outgoing edges
lib_applies_to_domain1
- domain:mathematics·DomainMathematics
lib_belongs_to_specialization2
- specialization:computational-mathematics·SpecializationComputational Mathematics
- specialization:mathematics·SpecializationMathematics
lib_implements_workflow1
- workflow:experiment-design·WorkflowExperiment Design
lib_involves_role2
- role:research-engineer·RoleResearch Engineer
- role:computational-scientist·RoleComputational Scientist
lib_requires_skill_area3
- skill-area:statistical-analysis·SkillAreaStatistical Analysis
- skill-area:mathematical-reasoning·SkillAreaMathematical Reasoning
- skill-area:data-analysis·SkillAreaData Analysis
uses_agent1
- lib-agent:mathematics--uq-specialist·LibraryAgentuq-specialist
Incoming edges
None.