{
  "id": "lib-process:mathematics--convex-analysis-verification",
  "_kind": "LibraryProcess",
  "_file": "generated-library/processes.yaml",
  "_cluster": "generated-library",
  "attributes": {
    "displayName": "specializations/domains/science/mathematics/convex-analysis-verification",
    "description": "Verify convexity properties of optimization problems to enable efficient solution methods.\nIncludes checking convexity of objective and constraints, and identifying hidden convex structure.",
    "libraryPath": "library/specializations/domains/science/mathematics/convex-analysis-verification.js",
    "specialization": "mathematics",
    "references": [
      "- Boyd & Vandenberghe, Convex Optimization",
      "- Rockafellar, Convex Analysis",
      "- Nesterov, Introductory Lectures on Convex Optimization",
      "- Grant & Boyd, CVX: Matlab Software for Disciplined Convex Programming"
    ],
    "example": "const result = await orchestrate('specializations/domains/science/mathematics/convex-analysis-verification', {\n  problemFormulation: { objective: 'minimize x^2 + y^2', constraints: ['x + y >= 1', 'x >= 0', 'y >= 0'] },\n  objectiveFunction: 'x^2 + y^2',\n  constraints: ['x + y >= 1', 'x >= 0', 'y >= 0']\n});",
    "usesAgents": [
      "optimization-expert"
    ]
  },
  "outgoingEdges": [
    {
      "from": "lib-process:mathematics--convex-analysis-verification",
      "to": "skill-area:statistical-analysis",
      "kind": "lib_requires_skill_area",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-process:mathematics--convex-analysis-verification",
      "to": "skill-area:mathematical-reasoning",
      "kind": "lib_requires_skill_area",
      "attributes": {
        "weight": 0.7
      }
    },
    {
      "from": "lib-process:mathematics--convex-analysis-verification",
      "to": "skill-area:data-analysis",
      "kind": "lib_requires_skill_area",
      "attributes": {
        "weight": 0.5
      }
    },
    {
      "from": "lib-process:mathematics--convex-analysis-verification",
      "to": "domain:mathematics",
      "kind": "lib_applies_to_domain",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-process:mathematics--convex-analysis-verification",
      "to": "role:research-engineer",
      "kind": "lib_involves_role",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-process:mathematics--convex-analysis-verification",
      "to": "role:computational-scientist",
      "kind": "lib_involves_role",
      "attributes": {
        "weight": 0.7
      }
    },
    {
      "from": "lib-process:mathematics--convex-analysis-verification",
      "to": "workflow:experiment-design",
      "kind": "lib_implements_workflow",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-process:mathematics--convex-analysis-verification",
      "to": "specialization:computational-mathematics",
      "kind": "lib_belongs_to_specialization",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-process:mathematics--convex-analysis-verification",
      "to": "specialization:mathematics",
      "kind": "lib_belongs_to_specialization",
      "attributes": {
        "weight": 0.9
      }
    },
    {
      "from": "lib-process:mathematics--convex-analysis-verification",
      "to": "lib-agent:mathematics--optimization-expert",
      "kind": "uses_agent",
      "attributes": {
        "weight": 0.8
      }
    }
  ],
  "incomingEdges": []
}