We tackle the change-point problem with data belonging to a general set. We propose a penalty for choosing the number of change-points in the kernel algorithm of Harchaoui and Cappé (2007). This penalty generalizes the one proposed for one dimensional signals by Lebarbier (2005). We prove it satisfies a non-asymptotic oracle inequality by showing new concentration results in Hilbert spaces. Exp...

No matter whether it is acoustic waves, quantum matter waves or optical waves of a laser—all kinds of waves can be in different states of oscillation, corresponding to different frequencies. Calculating these frequencies is part of the tools of the trade in theoretical physics. Recently, however, a special class of systems has caught the attention of the scientific community, forcing physicists...

Abstract: We propose new tests to detect a change in the mean of a time series. Like many existing tests, the new ones are based on the CUSUM process. Existing CUSUM tests require an estimator of a scale parameter to make them asymptotically distribution free under the no change null hypothesis. Even if the observations are independent, the estimation of the scale parameter is not simple since ...

We report on super-radiance obtained from the TAU FEM just above waveguide cutoff and near grazing intersection. Grazing intersection (or ‘‘Zero Slippage’’) is defined as the point at which the two synchronous frequencies merge to one frequency. In this case, the radiated power frequency can be tuned over a very wide band by change of the premodulation frequency. Near the lower synchronous freq...

Five-axis machining of sculptured surfaces is gaining wider acceptance in many industries. This paper examines the potential of a new tool positioning strategy where the desired surface is machined at more than one point of contact between the desired surface and the cutting tool. The method is called Multi-Point Machining or simply MPM. Intersection theory is used to gain insight into the mult...

in this paper, we introduce a new concept of volumes difference function of the projection and intersection bodies. following this, we establish the minkowski and brunn-minkowski inequalities for volumes difference function of the projection and intersection bodies.

iNTRODUCTiON Intersection crashes constitute a significant portion of total crashes nationwide. The report " National Agenda for Intersection Safety " quotes that in the year 2000, more than 2.8 million intersection-related crashes occurred, which amounts to 44 percent of all reported crashes. 1 Among all possible factors contributing to the intersection-signal-related crashes, yellow phase dil...

In this paper, a new shape modeling approach that can enable direct Boolean intersection between acquired and designed geometry without model conversion is presented. At its core is a new method that enables direct intersection and Boolean operations between designed geometry (objects bounded by NURBS and polygonal surfaces) and scanned geometry (objects represented by point cloud data). We use...

Reservation-based intersection controls, in which vehicles reserve space-time paths through the intersection, have the potential to make greater use of intersection capacity than traffic signals. However, the efficiency of previous microsimulations of reservations has been severely limited by a protocol that requires vehicles to request reservations and the intersection manager to accept or rej...