Seems like a good answer. If you want a deeper answer, you should ask a follow up question. Here is my follow up answer to “can you explain it at a deeper level”
> At a deeper level, the temperature parameter in generative AI models like GPT-3 affects the softmax function, which is used to convert the model's output into a probability distribution over the possible words or tokens.
> The softmax function takes the logits, which are the unnormalized output values of the model, and applies the exponential function to each value, normalizing them to produce probabilities. The formula for the softmax function is as follows:
> P(y_i) = exp(logit(y_i)) / sum(exp(logit(y_j)))
> Where:
> P(y_i) is the probability of the i-th token in the output sequence.
logit(y_i) is the logit value (unnormalized score) of the i-th token.
> The sum is taken over all possible tokens.
> The temperature parameter comes into play when computing the exponential function. The temperature value, denoted as T, is applied as an exponent to the logits before performing the softmax. Mathematically, the modified softmax function with temperature is:
> P(y_i) = exp(logit(y_i) / T) / sum(exp(logit(y_j) / T))
> The temperature parameter T controls the steepness of the softmax function. A higher temperature value (e.g., 1.0) increases the exponentiation effect, making the probabilities more spread out and the distribution more uniform. This leads to a higher likelihood of selecting less probable tokens, resulting in more diverse and random output.
> Conversely, a lower temperature value (e.g., 0.5) reduces the exponentiation effect, making the probabilities sharper and more focused. The most probable tokens are emphasized, leading to more deterministic and conservative output.
> By adjusting the temperature, you can manipulate the balance between exploration and exploitation during text generation. Higher temperatures encourage the model to explore more possibilities, while lower temperatures bias it towards exploiting the most likely choices based on the training data.
> It's important to note that the choice of temperature is a design decision, and there is no fixed rule for determining the optimal value. It often requires experimentation and understanding the specific behavior of the model to achieve the desired output characteristics