Top-N sequential recommendation models each user as a sequence of items interacted in the past and aims to predict top-N ranked items that a user will likely interact in a "near future". The order of interaction implies that sequential patterns play an important role where more recent items in a sequence have a larger impact on the next item. In this paper, we propose a Convolutional Sequence Embedding Recommendation Model (Caser) as a solution to address this requirement. The idea is to embed a sequence of recent items into an "image" in the time and latent spaces and learn sequential patterns as local features of the image using convolutional lters. This approach provides a uni ed and exible network structure for capturing both general preferences and sequential patterns. The experiments on public data sets demonstrated that Caser consistently outperforms state-of-the-art sequential recommendation methods on a variety of common evaluation metrics.

A nearly perfect dynamic doping effect is realized in PbTe through Cu intercalation, resulting in fully optimized temperature-dependent electrical-transport properties.

In this paper we prove the semi-circular law for the eigenvalues of regular random graph G n,d in the case d → ∞, complementing a previous result of McKay for fixed d. We also obtain a upper bound on the infinity norm of eigenvectors of Erdős-Rényi random graph G(n, p), answering a question raised by Dekel-Lee-Linial. * V. Vu is supported by NSF grants DMS-0901216 and AFOSAR-FA-9550-09-1-0167. arXiv:1011.6646v1 [math.CO]

Abiotic stresses are important factors affecting plant growth and development and limiting agricultural production worldwide. Plants have evolved complex regulatory mechanisms to respond and adapt to constantly changing environmental conditions. C2H2 zinc finger proteins form a relatively large family of transcriptional regulators in plants. Recent studies have revealed that C2H2 zinc finger proteins function as key transcriptional regulators in plant responses to a wide spectrum of stress conditions, including extreme temperatures, salinity, drought, oxidative stress, excessive light and silique shattering. Here, we summarize recent functional analysis on C2H2 zinc finger proteins in plant responses to abiotic stresses and discuss their roles as part of a large regulatory network in the perception and responses by plants to different environmental stimuli.

Abstract. We present a concentration result concerning random weighted projections in high dimensional spaces. As applications, we prove• New concentration inequalities for random quadratic forms.• The infinity norm of most unit eigenvectors of a random ±1 matrix is of order O( log n/n).• An estimate on the threshold for the local semi-circle law which is tight up to a √ log n factor.