Calculation of the Hessian for the Log-Log Frequency Distribution
We calculate the diagonal entries of the Hessian for our log-log frequency models.
Using a Log-Log Distribution to Model Term Frequency Rates
In [1], we outlined a basic architecture for learning a heavy-tailed distribution for term frequencies. Although this model can deal with documents of different lengths, its design is far from optimal in this respect since document length is not captured as part of the model. Here we discuss an alternate model that utilizes the log-log distribution, but uses it to model frequency rates rather than raw frequency values. Recall the log-log distribution,
ON A SUBCLASS OF -UNIFORM CONVEX FUNCTIONS
In this paper we dene a subclass of -uniform convex functions by using the S'al'agean dieren tial operator and we obtain some properties of this class.