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Showing 1 to 20 of 140 for “"Orthogonality."”.

  1. Application of Transformations for Orthogonality

    … are of interest. Using a transformation to orthogonality, new measures are constructed for evaluating the contribution of individual variables to a regression sum of squares. The transformation yields an orthogonal approximation of the columns of the predictor scores matrix. The new measures …

    the-open-u Repository record for Application of Transformations for Orthogonality (opens in a new tab)

  2. Facial image restoration and retrieval through orthogonality

    Orthogonality has different definitions in geometry, statistics and calculus. This thesis studies how to incorporate orthogonality to facial image restoration and retrieval tasks. A facial image restoration method and three retrieval methods were proposed. Blur in facial images significantly …

    uts Repository record for Facial image restoration and retrieval through orthogonality (opens in a new tab)

  3. Orthogonality and convergence of discrete Zernike polynomials

    … however, introduces errors that corrupt the orthogonality. Minimizing these errors requires numerical considerations which have not been addressed. This work examines the orthonormal polynomials visually with the Gram matrix and computationally with the rank and condition number. The …

    unm Repository record for Orthogonality and convergence of discrete Zernike polynomials (opens in a new tab)

  4. A Local Twisted Trace Formula and Twisted Orthogonality Relations

    … trace formula, we will prove some twisted orthogonality relations, which are generalizations of Arthur’s results about orthogonality relations for tempered elliptic characters. To establish these relations, we will also give a classification of twisted elliptic representations.

    toronto-retro Repository record for A Local Twisted Trace Formula and Twisted Orthogonality Relations (opens in a new tab)

  5. Regulating Orthogonality Of Feature Functions For Highly Compressed Deep Neural Networks

    … a feature function, and we study how the orthogonality of feature functions changes throughout the training process. We first develop how information is learned, stored and updated in the DNN throughout training, and propose an algorithm which regulates the orthogonality before and during …

    mit Repository record for Regulating Orthogonality Of Feature Functions For Highly Compressed Deep Neural Networks (opens in a new tab)

  6. Applied left-definite theory : the Jacobi polynomials, their Sobolev orthogonality, and self-adjoint operators.

    … where α = β = –1. We shall discuss the Sobolev orthogonality of the Jacobi polynomials and construct a self-adjoint operator in a certain Hilbert-Sobolev space having the entire sequence of Jacobi polynomials as eigenfunctions. The key to this construction is the left-definite theory associated …

    baylor Repository record for Applied left-definite theory : the Jacobi polynomials, their Sobolev orthogonality, and self-adjoint operators. (opens in a new tab)

  7. Asymptotic Properties Of Polynomials Orthogonal Over Multiply Connected Domains

    … derive more specific results when the domain of orthogonality is circular. In this case, we shed light on the manner in which the holes in the domain of orthogonality influence the polynomials.

    mississippi Repository record for Asymptotic Properties Of Polynomials Orthogonal Over Multiply Connected Domains (opens in a new tab)

  8. Minimizing interference due to genetic manipulation

    … engineering circuits are modularity and orthogonality of the components. We explore these factors experimentally by using TALEs as a synthetic transcription factor. We also designed an algorithm to find optimal locations to insert synthetic gene networks into the cell so that interference …

    mit Repository record for Minimizing interference due to genetic manipulation (opens in a new tab)

  9. Self-orthogonalizing strategies for enhancing Hebbian learning in recurrent neural networks

    … memory capacity as a function of the level of orthogonality. A separate calculation derives a statistical estimate of the level of orthogonality that can be achieved by the roll-up process. When this is combined with the memory capacity-vs-orthogonality result, it yields a reasonable estimate …

    ubc Repository record for Self-orthogonalizing strategies for enhancing Hebbian learning in recurrent neural networks (opens in a new tab)

  10. On multigroup transport theory with a degenerate transfer kernel

    … for the purpose of demonstrating the full-range orthogonality relations. In particular, it is proven that the direct and adjoint eigenvalue spectra are identical. The full-range completeness of the eigensolutions is established under rather general conditions. For the half-range completeness to …

    vt Repository record for On multigroup transport theory with a degenerate transfer kernel (opens in a new tab)

  11. Numerical Methods in Deep Learning and Computer Vision

    … encountered as input in deep learning. Some orthogonality techniques are also proposed to improve input conditioning. All of these techniques combine to mitigate the difficulty of applying differentiable ED in deep learning. In the last part of the thesis, we rethink some key concepts in …

    trento Repository record for Numerical Methods in Deep Learning and Computer Vision (opens in a new tab)

  12. Bilateral Ortohogonality Generative Acquisitions Method for Transmit Field Inhomogeneity Correction in Magnetic Resonance Imaging

    … inhomogeneity effects. Herein, the Bilateral Orthogonality Generative Acquisitions method has been developed as a multi-acquisition transmit field inhomogeneity correction method using parallel transmission system that does not require calibration scans or data libraries. Through the …

    utswmed Repository record for Bilateral Ortohogonality Generative Acquisitions Method for Transmit Field Inhomogeneity Correction in Magnetic Resonance Imaging (opens in a new tab)

  13. Point processes of representation theoretic origin

    … We prove that the new measures serve as orthogonality weights for symmetric function analogues of the multivariate q-Racah polynomials. Further we show that the q-Racah symmetric functions (and their corresponding orthogonality measures) can be degenerated into symmetric function …

    mit Repository record for Point processes of representation theoretic origin (opens in a new tab)

  14. Unstructured finite volume algorithms for compressible multiphase flow

    … finite volume solver in the presence of non-orthogonality and compressibility in order to extend the range of problems which can be modelled with the University's in-house CFD code: PHYSICA. A new non-orthogonality diffusion correction relaxation parameter has been successfully introduced and …

    greenwich Repository record for Unstructured finite volume algorithms for compressible multiphase flow (opens in a new tab)

  15. New degrees of freedom in integrable models with q-Hahn weights and their applications to symmetric functions and probability.

    … about integrable lattice models constructed from orthogonality weights of q-Hahn polynomials. First, we establish that the q-Hahn orthogonality weights appear as matrix coefficients in certain isomorphisms between tensor products of representations of quantum affine sl₂ algebra. This allows us to …

    mit Repository record for New degrees of freedom in integrable models with q-Hahn weights and their applications to symmetric functions and probability. (opens in a new tab)

  16. Sato-Tate Problem for GL(3)

    … with the rate of convergence. With a conjectured orthogonality relation between the Fourier coefficients of Maass forms for SL(N,Z) for N≥4, we generalize the above equidistribution theorem to N≥4.

    columbia-diss Repository record for Sato-Tate Problem for GL(3) (opens in a new tab)

  17. On Coherence and the Geometry of Certain Families of Lattices

    … a lattice is, roughly speaking, a measure of non-orthogonality of its minimal vectors. It was introduced to lattices (by analogy with frame theory) by L. Fukshansky and others as a possible route to gaining insight into packing density, a central problem in lattice theory. In this work, we …

    claremont Repository record for On Coherence and the Geometry of Certain Families of Lattices (opens in a new tab)

  18. Optimum linear single user detection in direct-sequence spread-spectrum multiple access systems

    … performance as the number of users increases. Orthogonality of the signals in time-division multiple access and frequency-division multiple access is inherent from the nature of the multiple access scheme. In a CDMA system, orthogonality of the signals is not guaranteed in general. …

    vt Repository record for Optimum linear single user detection in direct-sequence spread-spectrum multiple access systems (opens in a new tab)

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