NicheCalcs

Cross-Entropy Loss Calculator

Use this calculator to evaluate the cross-entropy loss between your true labels (one-hot) and model predicted probabilities for classification problems.

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What this calculator is doing

This calculator computes the cross-entropy loss, a standard loss function in classification tasks, using: \[ \text{Loss} = - \sum_{i=1}^{n} y_i \cdot \log_b(p_i) \] Where:
- \( y_i \): True label (1 or 0, from one-hot vector)
- \( p_i \): Predicted probability for class \( i \)
- \( b \): Logarithm base (e = natural log, 2 = bits, 10 = common log)
Only the non-zero \( y_i \) values are included, meaning typically only one term in the sum.
This metric is used to measure the dissimilarity between the true distribution (label) and the predicted distribution, where lower values indicate better predictions.
Choose from base e, 2, or 10 depending on your application (e.g., entropy in nats, bits, or bans).

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