In current literatures, many simulation methods have been proposed to investigate the vulnerability of power grids [1]. Generally speaking, high-level statistical models, e.g. the CASCADE model [2], provide some statistical and probabilistic methods to study cascading failures; historical data methods try to find failure patterns from the historical blackout records [3]; deterministic models ar...

A recognition model which defines a measure of shape similarity on the direct output of multiscale and multiorientation Gabor filters does not manifest qualitative aspects of human object recognition of contour-deleted images in that: a) it recognizes recoverable and nonrecoverable contour-deleted images equally well whereas humans recognize recoverable images much better, b) it distinguishes c...

The super-Brownian motion X % in a super-Brownian medium % constructed in DF96a] is known to be persistent (no loss of expected mass in the longtime behaviour) in dimensions one ((DF96a]) and three ((DF96b]). Here we ll the gap in showing that persistence holds also in the critical dimension two. The key to this result is that in any dimension (d 3); given the catalyst, the variance of the proc...

It is now well understood that the 1 minimization algorithm is able to recover sparse signals from incomplete measurements [2], [1], [3] and sharp recoverable sparsity thresholds have also been obtained for the 1 minimization algorithm. However, even though iterative reweighted 1 minimization algorithms or related algorithms have been empirically observed to boost the recoverable sparsity thres...

There is growing concern about the depletion of hydrocarbon resources and the risk of near-term peaks in production. These concerns hinge upon contested estimates of the recoverable resources of different regions and the associated forecasts of regional production. Beginning with Hubbert, an influential group of analysts have used growth curves both to estimate recoverable resources and to fore...

In this work, we give the first construction of high-rate locally list-recoverable codes. Listrecovery has been an extremely useful building block in coding theory, and our motivation is to use these codes as such a building block. In particular, our construction gives the first capacity-achieving locally list-decodable codes (over constant-sized alphabet); the first capacity achieving globally...

1. A wide variety of procedures was used to test the motility of mammalian sperm after plunging them into liquid nitrogen at -195 degrees C. and later rapidly warming them to 35 degrees C. by plunging them into a suitable balanced and isotonic medium. 2. Using seminal fluid sperm from the same human donor, maximal numbers of motile sperm survived vitrification when the samples were (a) very fre...

The deployment of a “public-key infrastructure” (PKI) has recently started. Another recent concern in business and on the national level is the issue of escrowed encryption, key recovery, and emergency access to information (e.g., in the medical record area). Independent development of a PKI and an escrowed PKI (whenever required or desired) will pose a lot of constraints, duplication efforts a...