The management of communication networks increasingly requires detailed knowledge of network usage, acquired by direct measurement. We report on the design and implementation of a backend system for Trajectory Sampling, a method for consistent sampling of packets across a network domain. This Trajectory Engine collects trajectory samples and stores them after appropriate preprocessing. It provi...

I study a model of dynamic policy making in which citizens do not have complete knowledge of how policies are mapped into outcomes. They learn about the mapping through repeated elections as policies are implemented and outcomes observed. I characterize for this environment the policy trajectory with impatient voters. I find that through experimentation good policies are frequently found. Howev...

This paper studies a one-shot inventory replenishment problem with dynamic pricing. The customer arrival rate is assumed to follow a geometric Brownian motion. Homogeneous customers have an isoelastic demand function and do not behave strategically. We find a closed-form optimal pricing policy, which utilizes current demand information. Under this pricing policy the inventory trajectory is dete...

This paper describes a method for melody detection in polyphonic musical signals. Our approach starts by obtaining a set of pitch candidates for each time frame, with recourse to an auditory model. Trajectories of the most salient pitches are then constructed. Next, note candidates are obtained by trajectory segmentation (in terms of frequency and pitch salience variations). Too short, low-sali...

We address the problem of continuously observing and forecasting long-term semantic activities of a first-person camera wearer: what the person will do, where they will go, and what goal they are seeking. In contrast to prior work in trajectory forecasting and short-term activity forecasting, our algorithm, DARKO, reasons about the future position, future semantic state, and future high-level g...

The increasing use of location-aware devices has led to an increasing availability of trajectory data. As a result, researchers devoted their efforts to developing analysis methods including different data mining methods for trajectories. However, the research in this direction has so far produced mostly isolated studies and we still lack an integrated view of problems in applications of trajec...

for some parameter 0 < ε 1 and some mappings b :R × R → R and g :R ×Rk → R . Under reasonable conditions on b and g, it is clear that as the parameter ε goes to zero, the first component X̂ε(t) of the perturbed system (1.1) converges to the constant first component x of the unperturbed system, uniformly with respect to t in any bounded interval [0, T ], with T > 0. But in applications that is mo...