Self-Intersection Local Time of (α,d,β)(\alpha,d,\beta)-superprocess

The existence of self-intersection local time (SILT), when the time diagonal is intersected, of the $(\alpha,d,\beta)$-superprocess is proved for $d/2<\alpha$ and for a renormalized SILT when $d/(2+(1+\beta)^{-1})<\alpha \leq d/2$. We also establish Tanaka-like formula for SILT.Comment: 28 page

Parsimonious Mahalanobis Kernel for the Classification of High Dimensional Data

The classification of high dimensional data with kernel methods is considered in this article. Exploit- ing the emptiness property of high dimensional spaces, a kernel based on the Mahalanobis distance is proposed. The computation of the Mahalanobis distance requires the inversion of a covariance matrix. In high dimensional spaces, the estimated covariance matrix is ill-conditioned and its inversion is unstable or impossible. Using a parsimonious statistical model, namely the High Dimensional Discriminant Analysis model, the specific signal and noise subspaces are estimated for each considered class making the inverse of the class specific covariance matrix explicit and stable, leading to the definition of a parsimonious Mahalanobis kernel. A SVM based framework is used for selecting the hyperparameters of the parsimonious Mahalanobis kernel by optimizing the so-called radius-margin bound. Experimental results on three high dimensional data sets show that the proposed kernel is suitable for classifying high dimensional data, providing better classification accuracies than the conventional Gaussian kernel

Simulated testing of an adaptive multimedia information retrieval system

The Semantic Gap is considered to be a bottleneck in image and video retrieval. One way to increase the communication between user and system is to take advantage of the user's action with a system, e.g. to infer the relevance or otherwise of a video shot viewed by the user. In this paper we introduce a novel video retrieval system and propose a model of implicit information for interpreting the user's actions with the interface. The assumptions on which this model was created are then analysed in an experiment using simulated users based on relevance judgements to compare results of explicit and implicit retrieval cycles. Our model seems to enhance retrieval results. Results are presented and discussed in the final section

Extraordinary transverse magneto-optical Kerr effect in a superlens

It has been shown that a slab of a negative index material can behave as a superlens enhancing the imaging resolution beyond the wavelength limit. We show here that if such a slab possesses in addition some magneto-optical activity, it could act as an ideal optical filter and exhibit an extraordinary transverse magneto-optical Kerr effect. Moreover, we show that losses, which spoil the imaging resolution of these lenses, are a necessary ingredient to observe this effect.Comment: 5 pages, 6 figure

Exploiting log files in video retrieval

While research into user-centered text retrieval is based on mature evaluation methodologies, user evaluation in multimedia retrieval is still in its infancy. User evaluations can be expensive and are also often non-repeatable. An alternative way of evaluating such systems is the use of simulations. In this poster, we present an evaluation methodology which is based on exploiting log files recorded from a user-study we conducted

Law and Lawyers in the Incident Command System

Although the Incident Command System (ICS) has existed for some forty years, the use of ICS grew significantly in the past decade because the United States learned hard lessons from infamous failures of incident management after 9/11 and Hurricane Katrina. As such, ICS theory and practice must be understood by legal scholars and practitioners who seek to contribute to the growing fields of climate change adaptation and disaster response. Filling a gap in the legal literature, this article will provide lawyers and legal scholars with an introduction to the Incident Command System, outlining the origin, doctrines, and organizational framework of ICS, along with major early critiques. Additionally, it illustrates the law and application of ICS through transformative events including 9/11, Hurricane Katrina, and the Deepwater Horizon, and examines the potential roles for lawyers in ICS, including the emerging ICS position of legal officer