Softmax Function Calculator
Use this calculator to convert a list of scores into probabilities using the softmax function, widely used in neural networks for classification outputs.
What this calculator is doing
The softmax function converts a vector of real numbers into a vector of probabilities that sum to 1.
The formula is:
\[
\mathrm{Softmax}(x_i) = \frac{e^{x_i / T}}{\sum_{j=1}^{n} e^{x_j / T}}
\]
Where:
\( x_i \): Input value
\( T \): Temperature parameter (default 1). Lower \( T \) makes outputs sharper; higher \( T \) makes outputs more uniform.
Optional Adjustments:
- Normalize input: Subtract the max input before exponentiation to improve numerical stability.
- Output precision: Set how many decimal places the result displays.
- Output format: Show as percentages or decimals.
The softmax function is essential in machine learning models for multi-class classification, reinforcement learning, and probabilistic inference.
Disclaimer: These calculators are provided for informational purposes only. Always verify your designs against relevant engineering standards and consult a qualified professional. We do not take responsibility for any errors or damages resulting from the use of these calculations.