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Fit Coupled Channel Model

Fit the bounded structured quaternion ridge model and return predictions and weights.

RQM-operated service.

Version: 1.0.0 · Registry observed: 2026-08-23T20:01:22.843Z · current

Price and connection

0.005000 USD per request, provider price. Supported Relay purchases add max(0.002 USDC, 5% of provider price). Your fresh quote supplies the exact total.

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View example and get a quote

Inputs and outputs

Input contract
{
  "$defs": {
    "QuaternionSampleRequest": {
      "additionalProperties": false,
      "properties": {
        "w": {
          "title": "W",
          "type": "number"
        },
        "x": {
          "title": "X",
          "type": "number"
        },
        "y": {
          "title": "Y",
          "type": "number"
        },
        "z": {
          "title": "Z",
          "type": "number"
        }
      },
      "required": [
        "w",
        "x",
        "y",
        "z"
      ],
      "title": "QuaternionSampleRequest",
      "type": "object"
    }
  },
  "additionalProperties": false,
  "properties": {
    "feature_count": {
      "maximum": 16,
      "minimum": 1,
      "title": "Feature Count",
      "type": "integer"
    },
    "output_count": {
      "maximum": 4,
      "minimum": 1,
      "title": "Output Count",
      "type": "integer"
    },
    "regularization": {
      "default": 0.000001,
      "maximum": 1000,
      "minimum": 1e-12,
      "title": "Regularization",
      "type": "number"
    },
    "augmentation": {
      "default": "strict",
      "enum": [
        "strict",
        "selective-j"
      ],
      "title": "Augmentation",
      "type": "string"
    },
    "features": {
      "items": {
        "items": {
          "$ref": "#/$defs/QuaternionSampleRequest"
        },
        "type": "array"
      },
      "maxItems": 512,
      "minItems": 1,
      "title": "Features",
      "type": "array"
    },
    "targets": {
      "items": {
        "items": {
          "$ref": "#/$defs/QuaternionSampleRequest"
        },
        "type": "array"
      },
      "maxItems": 512,
      "minItems": 1,
      "title": "Targets",
      "type": "array"
    },
    "maximum_condition_number": {
      "default": 1000000000000,
      "maximum": 10000000000000000,
      "minimum": 1,
      "title": "Maximum Condition Number",
      "type": "number"
    },
    "maximum_training_mse": {
      "default": 1000000000000,
      "maximum": 1000000000000,
      "minimum": 0,
      "title": "Maximum Training Mse",
      "type": "number"
    },
    "maximum_holdout_mse": {
      "default": 1000000000000,
      "maximum": 1000000000000,
      "minimum": 0,
      "title": "Maximum Holdout Mse",
      "type": "number"
    },
    "holdout_features": {
      "items": {
        "items": {
          "$ref": "#/$defs/QuaternionSampleRequest"
        },
        "type": "array"
      },
      "maxItems": 512,
      "title": "Holdout Features",
      "type": "array"
    },
    "holdout_targets": {
      "items": {
        "items": {
          "$ref": "#/$defs/QuaternionSampleRequest"
        },
        "type": "array"
      },
      "maxItems": 512,
      "title": "Holdout Targets",
      "type": "array"
    }
  },
  "required": [
    "feature_count",
    "output_count",
    "features",
    "targets"
  ],
  "title": "FitCoupledChannelModelRequest",
  "type": "object"
}
Output contract
{
  "$defs": {
    "CommercialArtifactManifestItem": {
      "additionalProperties": false,
      "properties": {
        "artifact_id": {
          "pattern": "^[0-9a-f]{32}$",
          "title": "Artifact Id",
          "type": "string"
        },
        "media_type": {
          "title": "Media Type",
          "type": "string"
        },
        "size_bytes": {
          "minimum": 0,
          "title": "Size Bytes",
          "type": "integer"
        },
        "sha256": {
          "pattern": "^[0-9a-f]{64}$",
          "title": "Sha256",
          "type": "string"
        },
        "retrieval_path": {
          "title": "Retrieval Path",
          "type": "string"
        }
      },
      "required": [
        "artifact_id",
        "media_type",
        "size_bytes",
        "sha256",
        "retrieval_path"
      ],
      "title": "CommercialArtifactManifestItem",
      "type": "object"
    },
    "FitCoupledChannelModelSummary": {
      "additionalProperties": false,
      "properties": {
        "schema_version": {
          "const": "rqm.wave.fit-coupled-channel-model-result.v1",
          "title": "Schema Version",
          "type": "string"
        },
        "algorithm_id": {
          "enum": [
            "quaternion-structured-ridge-v1",
            "selective-wl-quaternion-ridge-v1"
          ],
          "title": "Algorithm Id",
          "type": "string"
        },
        "design_rank": {
          "minimum": 0,
          "title": "Design Rank",
          "type": "integer"
        },
        "condition_number": {
          "minimum": 0,
          "title": "Condition Number",
          "type": "number"
        },
        "parameter_count": {
          "minimum": 1,
          "title": "Parameter Count",
          "type": "integer"
        },
        "mean_squared_error": {
          "minimum": 0,
          "title": "Mean Squared Error",
          "type": "number"
        },
        "holdout_mean_squared_error": {
          "anyOf": [
            {
              "minimum": 0,
              "type": "number"
            },
            {
              "type": "null"
            }
          ],
          "default": null,
          "title": "Holdout Mean Squared Error"
        },
        "coefficient_sensitivity": {
          "minimum": 0,
          "title": "Coefficient Sensitivity",
          "type": "number"
        },
        "candidate_withheld": {
          "title": "Candidate Withheld",
          "type": "boolean"
        },
        "verification": {
          "additionalProperties": {
            "type": "boolean"
          },
          "title": "Verification",
          "type": "object"
        },
        "predictions_artifact_id": {
          "title": "Predictions Artifact Id",
          "type": "string"
        },
        "weights_artifact_id": {
          "title": "Weights Artifact Id",
          "type": "string"
        },
        "claim_boundary": {
          "title": "Claim Boundary",
          "type": "string"
        }
      },
      "required": [
        "schema_version",
        "algorithm_id",
        "design_rank",
        "condition_number",
        "parameter_count",
        "mean_squared_error",
        "coefficient_sensitivity",
        "candidate_withheld",
        "verification",
        "predictions_artifact_id",
        "weights_artifact_id",
        "claim_boundary"
      ],
      "title": "FitCoupledChannelModelSummary",
      "type": "object"
    }
  },
  "additionalProperties": false,
  "properties": {
    "schema_version": {
      "const": "rqm.wave.commercial-result.v2",
      "default": "rqm.wave.commercial-result.v2",
      "title": "Schema Version",
      "type": "string"
    },
    "capability_id": {
      "const": "fit-coupled-channel-model-v1",
      "title": "Capability Id",
      "type": "string"
    },
    "capability_version": {
      "const": "1.0.0",
      "title": "Capability Version",
      "type": "string"
    },
    "result_schema_version": {
      "const": "rqm.wave.fit-coupled-channel-model-result.v1",
      "title": "Result Schema Version",
      "type": "string"
    },
    "summary": {
      "$ref": "#/$defs/FitCoupledChannelModelSummary"
    },
    "artifacts": {
      "items": {
        "$ref": "#/$defs/CommercialArtifactManifestItem"
      },
      "title": "Artifacts",
      "type": "array"
    }
  },
  "required": [
    "capability_id",
    "capability_version",
    "result_schema_version",
    "summary",
    "artifacts"
  ],
  "title": "FitCoupledChannelModelResult",
  "type": "object"
}

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