Low-density parity-check (LDPC) codes characterized by minimum Hamming distances proportional to block sizes have been demonstrated. Like the codes mentioned in the immediately preceding article, the present codes are error-correcting codes suitable for use in a variety of wireless data-communication systems that include noisy channels. The previously mentioned codes have low decoding threshold...

CONTEXT Minimum procedure volume thresholds have been proposed to improve outcomes among patients undergoing percutaneous transluminal coronary angioplasty (PTCA). How regionalization policies would affect patient travel distances is not known. OBJECTIVE To examine the effect of regionalization of PTCA on patient travel distances. DESIGN, SETTING, AND PARTICIPANTS A retrospective cohort stu...

We determine the exact minimum `-degree threshold for perfect matchings in kuniform hypergraphs when the corresponding threshold for perfect fractional matchings is significantly less than 12 ( n k−` ) . This extends our previous results that determine the minimum `-degree thresholds for perfect matchings in k-uniform hypergraphs for all ` > k/2 and provides two new (exact) thresholds: (k, `) =...

We propose an unsupervised “local learning” algorithm for learning a metric in the input space. Geometrically, for a given query point, the algorithm finds the minimum volume ellipsoid (MVE) covering its neighborhood which characterizes the correlations and variances of its neighborhood variables. Algebraically, the algorithm maximizes the determinant of the local covariance matrix which amount...

We expand a framework for estimating minimum area thresholds to elaborate biogeographic patterns between two groups of snakes (rattlesnakes and colubrid snakes) on islands in the western Gulf of California, Mexico. The minimum area thresholds for supporting single species versus coexistence of two or more species relate to hypotheses of the relative importance of energetic efficiency and compet...

The classification of small-volume hyperbolic 3-manifolds has been an active problem for many years, ever since Thurston suggested that volume was a measure of the complexity of a hyperbolic 3-manifold. Quite recently in [GMM3] the author along with David Gabai and Robert Meyerhoff used a geometrical construction called a Mom-n structure to tackle the classification problem, and succeeded in sh...

High-utility sequential pattern mining is an emerging topic in recent decades and most algorithms were designed to identify the complete set of high-utility sequential patterns under the single minimum utility threshold. In this paper, we first propose a novel framework called high-utility sequential pattern mining with multiple minimum utility thresholds to mine high utility sequential pattern...