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Did you know the Softmax function is not the most efficient way to project onto the probability simplex? Softmax transforms an input vector into a probability vector, ensuring nonnegative values that ...

Abstract: The basic motivation of this work is to introduce contextual information into image segmentation tasks by adding spatial coherence to the posterior probabilities corresponding to the classes ...

a magnitude, but no direction. Examples of scalar-valued functions include temperature, pressure, and energy. a vector-valued function is a function that takes input in some vector space and returns a ...

That steady-state probability vector (PageRank) is π, the eigenvector of P with eigenvalue=1. The system has found its balance — the probabilities no longer change. That’s equilibrium in action.