{
  "id": "lib-process:mathematics--uncertainty-quantification",
  "_kind": "LibraryProcess",
  "_file": "generated-library/processes.yaml",
  "_cluster": "generated-library",
  "attributes": {
    "displayName": "uncertainty-quantification",
    "description": "Quantify uncertainty in mathematical models through sensitivity analysis,\nparameter 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\n- Saltelli et al., Global Sensitivity Analysis\n- Sullivan, Introduction to Uncertainty Quantification\n- Xiu, Numerical Methods for Stochastic Computations"
    ],
    "example": "const result = await orchestrate('specializations/domains/science/mathematics/uncertainty-quantification', {\n  model: { type: 'ODE', equations: ['dx/dt = r*x*(1-x/K)'] },\n  uncertainParameters: [{ name: 'r', distribution: 'normal', mean: 0.5, std: 0.1 }, { name: 'K', distribution: 'uniform', min: 90, max: 110 }],\n  outputsOfInterest: ['x_steady_state', 'time_to_half_capacity'],\n  method: 'monte-carlo'\n});",
    "usesAgents": [
      "uq-specialist"
    ]
  },
  "outgoingEdges": [
    {
      "from": "lib-process:mathematics--uncertainty-quantification",
      "to": "skill-area:statistical-analysis",
      "kind": "lib_requires_skill_area",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-process:mathematics--uncertainty-quantification",
      "to": "skill-area:mathematical-reasoning",
      "kind": "lib_requires_skill_area",
      "attributes": {
        "weight": 0.7
      }
    },
    {
      "from": "lib-process:mathematics--uncertainty-quantification",
      "to": "skill-area:data-analysis",
      "kind": "lib_requires_skill_area",
      "attributes": {
        "weight": 0.5
      }
    },
    {
      "from": "lib-process:mathematics--uncertainty-quantification",
      "to": "domain:mathematics",
      "kind": "lib_applies_to_domain",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-process:mathematics--uncertainty-quantification",
      "to": "role:research-engineer",
      "kind": "lib_involves_role",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-process:mathematics--uncertainty-quantification",
      "to": "role:computational-scientist",
      "kind": "lib_involves_role",
      "attributes": {
        "weight": 0.7
      }
    },
    {
      "from": "lib-process:mathematics--uncertainty-quantification",
      "to": "workflow:experiment-design",
      "kind": "lib_implements_workflow",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-process:mathematics--uncertainty-quantification",
      "to": "specialization:computational-mathematics",
      "kind": "lib_belongs_to_specialization",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-process:mathematics--uncertainty-quantification",
      "to": "specialization:mathematics",
      "kind": "lib_belongs_to_specialization",
      "attributes": {
        "weight": 0.9
      }
    },
    {
      "from": "lib-process:mathematics--uncertainty-quantification",
      "to": "lib-agent:mathematics--uq-specialist",
      "kind": "uses_agent",
      "attributes": {
        "weight": 0.8
      }
    }
  ],
  "incomingEdges": []
}