25 articles for “random matrix”

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Research ArticleOpen accessIn the abstractInverse Correlations for Multiple Time Series and Gaussian Random Fields and Measures of Their Linear DeterminismR.J. Bhansali, L. IppolitiFor a discrete-time vector linear stationary process, {X(t)}, admitting forward and backward autoregressive representations, the variance matrix of an optimal linear interpolator of X(t), based on a knowledge of {X(t-j), j≠0}, is known to be given by Ri(0)-1 where Ri(0) denotes the inverse variance of the process. Let A=Is-1Ri(0)ˉ1R(0)ˉ1, where R(0) denotes the variance matrix of {X(t)} and Is an … …Journal of Mathematics and Statistics, Vol. 1, Issue 4 · 31 Dec 2005 · 6,424 accessesView PDF Cite

Research ArticleOpen accessIn the abstractMolecular Characterization of Opium Poppy (Papaver somniferum) GermplasmHari Shanker Acharya, Vimal SharmaProblem statement: The medicinal value of opium poppy (2n = 22, Papaver somniferum L.) is due to presence of more than two dozen alkaloids. The genetic origin and diversity of cultivars used in the breeding collection is not fully known. To evaluate the genetic diversity of the 24 germplasm currently cultivated in the state to provide genetic information about heterogeneity, … …American Journal of Infectious Diseases, Vol. 5, Issue 2 · 30 Jun 2009 · 8,096 accessesView PDF Cite

Research ArticleOpen accessIn the abstractImproving Protein 3D Structure Prediction Accuracy using Dense Regions Areas of Secondary Structures in the Contact MapAmer F. Al-Badarneh, Mohammad A. Khalil, Mo'taz A. Al-HamiProblem Statement: The protein folding problem is a fundamental problem in structural molecular biology. This problem describes how a protein is transformed from its primary sequence (i.e., amino acid sequence) into the three dimensional structure (3D structure) for this sequence that determines the function of the protein. The 3D structure of a protein can be represented using a square symmetrical … …American Journal of Biochemistry and Biotechnology, Vol. 4, Issue 4 · 31 Dec 2008 · 7,533 accessesView PDF Cite

Research ArticleOpen accessIn the abstractβ-Spline Estimation in a Semiparametric Regression Model with Nonlinear Time Series ErrorsJinhong You, Gemai Chen, Xian ZhouWe study the estimation problems for a partly linear regression model with a nonlinear time series error structure. The model consists of a parametric linear component for the regression coefficients and a nonparametric nonlinear component. The random errors are unobservable and modeled by a first-order Markov bilinear process. Based on a B-spline series approximation of the nonlinear component function, we … …American Journal of Applied Sciences, Vol. 2, Issue 9 · 30 Sep 2005 · 6,734 accessesView PDF Cite

Research ArticleOpen accessAll words, across the recordHead Gesture Analysis using Matrix Group Displacement AlgorithmMahmoud Z. IskandaraniA novel algorithm for head gestures interpretation is designed and tested. The designed system carries out gesture detection and recognition using the MGDA algorithm, which implements random sampling and importance sampling, such technique can track head poses and estimate head positions. Problem statement: Head position is an important indicator of a person’s focus of attention, which can be used as … …Journal of Computer Science, Vol. 6, Issue 11 · 23 Oct 2010 · 7,247 accessesView PDF Cite