It has been previously demonstrated that systems based on Hidden Markov Models (HMMs) are suitable for face recognition. The proposed approaches in the literature are either HMMs with one-dimensional (1D-HMMs) or two-dimensional (2D-HMMs) topology. Both have shown some serious drawbacks. The 1D-HMM approaches typically use a whole row (or column) of an image as observation vector and by consequ...

Ground states and dynamical properties of a dipolar Bose–Einstein condensate are analyzed based on the Gross–Pitaevskii–Poisson system (GPPS) and its dimension reduction models under an anisotropic confining potential. We begin with the three-dimensional (3D) GPPS and review its quasi-two-dimensional (2D) approximate equations when the trap is strongly confined in the z-direction and quasi-one-...

helicopter-borne frequency-domain electromagnetic (hem) surveys are used extensively for mineral and groundwater exploration and a number of environmental investigations. to have a meaningful interpretation of the measured multi- frequency hem data, in addition to the resistivity maps which are provided in each frequency or for some particular depth levels, it is a necessity to have a suit...

Creation of better statistical models for improvement of existing operational wave prediction programs; study of non-stationary waves growth in presence of wind; interpretation of experimental data through study of self-similar solutions of Hasselmann equation; studying the integrability of 1D dynamical equations for surface waves; study of the possibility of generalization of compact 1D water ...

In this work, we demonstrate examples about uses of practical image processing techniques over a new interpretation of power quality event data. Power quality event data are 1D data obtained from a real life system with three-phase RL loads, induction motors and varying mechanical loads. First, the new 2D representation is presented. Next, 2D wavelet transform based analysis and compression met...

An important problem in the study of anomalous diffusion and transport concerns the proper analysis of trajectory data. The analysis and inference of Lévy walk patterns from empirical or simulated trajectories of particles in two and three-dimensional spaces (2D and 3D) is much more difficult than in 1D because path curvature is nonexistent in 1D but quite common in higher dimensions. Recently,...

We investigate the criteria for successful core-collapse supernova explosions by the neutrino mechanism. We find that a critical-luminosity/mass-accretion-rate condition distinguishes non-exploding from exploding models in hydrodynamic one-dimensional (1D) and two-dimensional (2D) simulations. We present 95 such simulations that parametrically explore the dependence on neutrino luminosity, mass...

Two-dimensional (2D) convolutional codes are a generalization of (1D) codes, which suitable for transmission over an erasure channel. In this paper, we present decoding algorithm 2D such channel by reducing the process to several steps applied 1D codes. Moreover, provide constructions that specially tailored our algorithm.

Our study investigates possible formation mechanisms of the very recent bright gully deposits (BGDs) observed on Mars in order to assess if liquid water was required. We use two models in our assessment: a one-dimensional (1D) kinematic model to model dry granular flows and a two-dimensional (2D) fluiddynamic model, FLO-2D (O’Brien et al., 1993, FLO Engineering), to model water-rich and wet sed...

We introduce a method for kinetic characterization of reversible binding of protein onto the inner capillary wall. In essence, a short plug of the protein solution is propagated through the capillary by pressure, and the protein is detected at the distal capillary end. The signal versus time profile is fitted with a numerical model which uses the rate constants of adsorption, kad, and desorptio...