CentroidInstall

Overview

This node calculates the centroid (geometric center) of an array of vectors. The centroid is computed by averaging each corresponding component across all input vectors, resulting in a single vector representing their center point.

Common scenarios where this node is useful include:

• Data analysis tasks requiring the average position of multiple points in multi-dimensional space.
• Machine learning preprocessing to find mean feature vectors.
• Geospatial computations to find the central location from multiple coordinates.
• Any workflow needing to summarize or reduce multiple vector inputs into one representative vector.

For example, given vectors [[1,2,3],[4,5,6],[7,8,9]], the node outputs the centroid [4,5,6].

Properties

Output

The output contains a single JSON object with one field:

• centroid: An array representing the centroid vector calculated by averaging each dimension across all input vectors.

Example output JSON:

{
  "centroid": [4, 5, 6]
}

No binary data output is produced by this node.

Dependencies

• No external services or API keys are required.
• This node operates purely on input data provided either directly via the property or from previous nodes in the workflow.

Troubleshooting

• Invalid vector array format: If the input is not a valid JSON array of arrays, the node throws an error stating the format is invalid. Ensure the input is a proper JSON array of numeric arrays.
• Empty or missing input: The node requires at least one vector; otherwise, it throws an error indicating a valid array must be provided.
• Inconsistent vector dimensions: All vectors must have the same length/dimension. If they differ, an error is thrown.
• Parsing errors: If the input is a string but not valid JSON, parsing will fail and throw an error.

To resolve these issues, verify that the input is a well-formed JSON array of equal-length numeric arrays.

Links and References

• Centroid - Wikipedia
• Vector arithmetic basics