softmax numerical instability
numerical instability of softmax the softmax function is widely used in machine learning, especially for converting raw scores (logits) into probabilities in classification problems. it is defined as: Softmax(z_i) = exp(z_i) / sum(exp(z_j) for j in range(n)) where z_i represents the logits for class i. the problem of numerical instability the softmax function can suffer from numerical instability, particularly when the input logits z contain large or small values. this is because computing exp(z_i) can result in very large or very small numbers, leading to overflow or underflow errors when summed across all classes. ...