{
  "id": "lib-process:mathematics--model-validation-framework",
  "_kind": "LibraryProcess",
  "_file": "generated-library/processes.yaml",
  "_cluster": "generated-library",
  "attributes": {
    "displayName": "model-validation-framework",
    "description": "Validate mathematical models against experimental or observational data.\nIncludes parameter estimation, residual analysis, and goodness-of-fit assessment.",
    "libraryPath": "library/specializations/domains/science/mathematics/model-validation-framework.js",
    "specialization": "mathematics",
    "references": [
      "- Aster et al., Parameter Estimation and Inverse Problems\n- Seber & Wild, Nonlinear Regression\n- Burnham & Anderson, Model Selection and Multimodel Inference\n- Oberkampf & Roy, Verification and Validation in Scientific Computing"
    ],
    "example": "const result = await orchestrate('specializations/domains/science/mathematics/model-validation-framework', {\n  model: { type: 'ODE', equations: ['dy/dt = k*y'], parameters: ['k'] },\n  observationalData: { t: [0, 1, 2, 3, 4], y: [1, 2.7, 7.4, 20.1, 54.6] },\n  validationCriteria: { rSquaredThreshold: 0.95, residualNormality: true }\n});",
    "usesAgents": [
      "mathematical-modeler"
    ]
  },
  "outgoingEdges": [
    {
      "from": "lib-process:mathematics--model-validation-framework",
      "to": "skill-area:statistical-analysis",
      "kind": "lib_requires_skill_area",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-process:mathematics--model-validation-framework",
      "to": "skill-area:mathematical-reasoning",
      "kind": "lib_requires_skill_area",
      "attributes": {
        "weight": 0.7
      }
    },
    {
      "from": "lib-process:mathematics--model-validation-framework",
      "to": "skill-area:data-analysis",
      "kind": "lib_requires_skill_area",
      "attributes": {
        "weight": 0.5
      }
    },
    {
      "from": "lib-process:mathematics--model-validation-framework",
      "to": "domain:mathematics",
      "kind": "lib_applies_to_domain",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-process:mathematics--model-validation-framework",
      "to": "role:research-engineer",
      "kind": "lib_involves_role",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-process:mathematics--model-validation-framework",
      "to": "role:computational-scientist",
      "kind": "lib_involves_role",
      "attributes": {
        "weight": 0.7
      }
    },
    {
      "from": "lib-process:mathematics--model-validation-framework",
      "to": "workflow:experiment-design",
      "kind": "lib_implements_workflow",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-process:mathematics--model-validation-framework",
      "to": "specialization:computational-mathematics",
      "kind": "lib_belongs_to_specialization",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-process:mathematics--model-validation-framework",
      "to": "specialization:mathematics",
      "kind": "lib_belongs_to_specialization",
      "attributes": {
        "weight": 0.9
      }
    },
    {
      "from": "lib-process:mathematics--model-validation-framework",
      "to": "lib-agent:mathematics--mathematical-modeler",
      "kind": "uses_agent",
      "attributes": {
        "weight": 0.8
      }
    }
  ],
  "incomingEdges": []
}