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...

In iterative learning control (ILC), a common assumption is that the initial states in each repetitive operation should be inside a given ball centered at the desired initial states which may be unknown. This assumption is critical to the stability analysis, and the size of the ball will directly affect the final output trajectory tracking errors. In this paper, this assumption is removed by us...

The effects of auditory information on 4-month-old infants' perception of trajectory continuity.

Detecting stops is an important task in trajectory analysis. Stops can reveal interesting aspects of a moving object behavior such as its daily routine, bottlenecks in traffic jams, or visiting times of touristic places. In order to record those traces, trajectories must be sampled and, in some cases, post-processed. This process from collecting raw data to storing them may vary according to th...

This paper proposes a novel approach to performing in-grasp manipulation planning: the problem of moving an object with reference to the palm from an initial pose to a goal pose without breaking or making contacts. Our method to perform in-grasp manipulation uses kinematic trajectory optimization which requires no knowledge of dynamic properties of the object or the robot. We define a cost func...

We present a novel algorithm for smooth and collision-free navigation for multiple human-like robots. Our approach combines reciprocal collision avoidance with kinematic and dynamic stability constraints to compute a non-oscillatory trajectory for each high-DOF robot. We use a multi-level optimization algorithm that combines accelerationvelocity obstacles with trajectory optimization. We highli...