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,
Archaeological Survey of Dangoyama Kofun by 3DGPR
We presented a three-dimensional ground penetrating radar (3DGPR) system for the archeological investigation in a harsh site, where we have to deal with many trees and/or great topographic variations. This system consists of a commercial GPR system with a laser positioning system. With this system, we can move the GPR antenna freely, on which a positioning detector can record accurate position for each GPR data trace. We applied our 3DGPR system at Dangoyama Kofun, a burial mound, in Fukushima prefecture, Japan. A lot of trees and bushes covered the survey area and cannot be cut. We acquired six datasets in two days in this area. We successfully imaged the boundary between the original surface of the burial mound and the covering soil clearly at about 0.3 m depth around the mound. Furthermore, we found some strong reflections appeared at 0.8 m depth in the top area of the mound, which can be from the artificial parts of the burial mound. The results would greatly aid the following archaeological excavation. In addition, we compared the non-interpolated depth slice with interpolated depth slice at same position and demonstrated that the interpolation process on threedimensional GPR data may introduce some artifacts which might mislead our interpretation.