Explainability acceptance and explainability distance will sum to __________ while using Trustworthy explainable acceptance metric.

The sum of explainability acceptance and explainability distance while using Trustworthy explainable acceptance metric is 1.

Here's the step by step explanation:

1. Explainability acceptance refers to the degree to which a user accepts the explanation provided by the AI system. It is measured on a scale from 0 to 1, where 1 indicates complete acceptance and 0 indicates no acceptance.

2. Explainability distance refers to the difference between the user's understanding of the AI system's operation and the actual operation of the AI system. It is also measured on a scale from 0 to 1, where 1 indicates a large difference (low understanding) and 0 indicates no difference (high understanding).

3. The Trustworthy explainable acceptance metric is a measure of the trustworthiness of an AI system's explanations. It is calculated by subtracting the explainability distance from the explainability acceptance.

4. Therefore, when you add explainability acceptance and explainability distance, the sum will always be 1. This is because the two measures are complementary: a high explainability acceptance (close to 1) will correspond to a low explainability distance (close to 0), and vice versa.