Selected properties of optical spatial solitons in photorefractive media and their important applications

Some selected important properties of photorefractive spatial solitons and their applications have been reviewed in the present paper. Using band transport model, the governing principle of photorefractive nonlinearity has been addressed and nonlinear dynamical equations of spatial solitons owing to this nonlinearity have been discussed. Mechanisms of formation of screening and photovoltaic solitons of three different configurations i.e., bright, dark and grey varieties have been examined. Incoherently coupled vector solitons due to single and two-photon photorefractive phenomena have been highlighted. Modulation instability, which is precursor to soliton formation has been also discused briefly. Finally possible applications of photorefractive spatial solitons have been highlighted.Comment: 17 pages, 3 figures. arXiv admin note: text overlap with arXiv:1209.221

A ray mode parabolic equation for shallow water acoustics propagation problems

Ray mode parabolic equations which are suitable for shallow water acoustics propagation problems are derived by the multiple-scale method.Comment: 7 pp., 0 fi

Exponential Machines

Modeling interactions between features improves the performance of machine learning solutions in many domains (e.g. recommender systems or sentiment analysis). In this paper, we introduce Exponential Machines (ExM), a predictor that models all interactions of every order. The key idea is to represent an exponentially large tensor of parameters in a factorized format called Tensor Train (TT). The Tensor Train format regularizes the model and lets you control the number of underlying parameters. To train the model, we develop a stochastic Riemannian optimization procedure, which allows us to fit tensors with 2^160 entries. We show that the model achieves state-of-the-art performance on synthetic data with high-order interactions and that it works on par with high-order factorization machines on a recommender system dataset MovieLens 100K.Comment: ICLR-2017 workshop track pape

COMPETITION – AN IMPORTANT FACTOR FOR DEVELOPMENT AND REGULATION OF THE ECONOMY OF REPUBLIC MOLDOVA

Under the influence of regional and international economic changes competition has reaffirmed its role as a decisive regulating force of the market economy. Increased competition leads to enhancement of productivity and competitiveness processes, to cost and price reduction, to the intensification of innovation and R&D. All these form a whole, an overall requiring an analysis, an assessment, and a synthesis of the existing competitive environment. One of the most recent strategic objectives of the Republic of Moldova has become the integration into the European Union, which implies creating a normal, viable competitive environment, capable of serving market economy. Regional integration enables some internal levers, through which a more efficient economy is reached, obtained through extension and increase of the competition mechanism produced on a regional scalecompetition, competitiveness process, economy, integration.