I studied algorithms to model and characterize complex networks applied to air transportation, road networks, and commuting networks.

I used the Reality Mining dataset, which followed ninety-four subjects using mobile phones that recorded and sent the researcher data about call logs, Bluetooth devices in proximity of approximately five meters, cell tower IDs, application usage, and phone status. Subjects were observed using these measurements over the course of nine months and included students and faculty from two programs within MIT. These data also reports self-reported relational data from each individual, where subjects were asked about their proximity to, and friendship with, others.

Eigenvectors 1, 2, and 3 show that behavioral variation can be better predicted for the individual during the morning hours, when at the office. Eigenvector 3 shows the time spent "elswhere", which shows that the subject doesn’t have a clearly defined routine. The first 2 eigenvectors show that morning hours were spent mostly in work. For midday and afternoon hours, the eigenvectors capture the time spent at the office and with less clarity the time spent at home. The daily routine changes of subject 23 are also shown in the sample days 3, 7 and 10. The differences in the routine of each day are a plausible explanation for why the 3 eigenvectors reconstruct a typical day so poorly.

Subject 23 nominated number 4, 5, 8, 23 and 60.

I used U.S Commuting data to calculate the inter county trips models of commuting. I generated a distance cell matrix with the distances between counties, all the commuting trips received by each county, and the population of each county.

The data has trip information for several individuals, where each row corresponds to a trip from an origin to a destination with timing information. The individual of choice has Person ID 20012111, this person has 11 trips. The plot below shows Long vs. Time [h], Lat vs. Time [h] and Speed vs. Time in [km/h].

The first plot illustrates the trajectory of the individual in blue, and black dots show the points in which the person stays. Using all individuals and the expansion factor I generated the probability density function of the trip lengths Home-Work.