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Relevant bibliographies by topics / Splines with LME

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Academic literature on the topic 'Splines with LME'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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Journal articles on the topic "Splines with LME"

1

CHAND, A. K. B., P. VISWANATHAN, and K. M. REDDY. "TOWARDS A MORE GENERAL TYPE OF UNIVARIATE CONSTRAINED INTERPOLATION WITH FRACTAL SPLINES." Fractals 23, no. 04 (December 2015): 1550040. http://dx.doi.org/10.1142/s0218348x15500401.

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Recently, in [Electron. Trans. Numer. Anal. 41 (2014) 420–442] authors introduced a new class of rational cubic fractal interpolation functions with linear denominators via fractal perturbation of traditional nonrecursive rational cubic splines and investigated their basic shape preserving properties. The main goal of the current paper is to embark on univariate constrained fractal interpolation that is more general than what was considered so far. To this end, we propose some strategies for selecting the parameters of the rational fractal spline so that the interpolating curves lie strictly above or below a prescribed linear or a quadratic spline function. Approximation property of the proposed rational cubic fractal spine is broached by using the Peano kernel theorem as an interlude. The paper also provides an illustration of background theory, veined by examples.

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Hall, M., and N. Friel. "Mortality Projections using Generalized Additive Models with applications to annuity values for the Irish population." Annals of Actuarial Science 5, no. 1 (November 12, 2010): 19–32. http://dx.doi.org/10.1017/s1748499510000011.

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AbstractGeneralized Additive Models (GAMs) with age, period and cohort as possible covariates are used to predict future mortality improvements for the Irish population. The GAMs considered are the 1-dimensional age + period and age + cohort models and the 2-dimensional age-period and age-cohort models. In each case thin plate regression splines are used as the smoothing functions. The generalized additive models are compared with the P-Spline (Currie et al., 2004) and Lee-Carter (Lee & Carter, 1992) models included in version 1.0 of the Continuous Mortality Investigation (CMI) library of mortality projections. Using the Root Mean Square Error to assess the accuracy of future predictions, the GAMs outperform the P-Spline and Lee-Carter models over intervals of 25 and 35 years in the age range 60 to 90. The GAMs allow intuitively simple models of mortality to be specified whilst also providing the flexibility to model complex relationships between the covariates. The majority of morality improvements derived from the projections of future Irish mortality yield annuity values at ages 60, 65, 70 and 80 in 2007 in the range of annuity values calculated, assuming a 2 to 4 percent annual compound improvement in mortality rates for both males and females.

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Lord, Marilyn. "Curve and Surface Representation by Iterative B-Spline Fit to a Data Point Set." Engineering in Medicine 16, no. 1 (January 1987): 29–35. http://dx.doi.org/10.1243/emed_jour_1987_016_008_02.

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The method of B-splines provides a very powerful way of representing curves and curved surfaces. The definition is ideally suited to applications in Computer Aided Design (CAD) where the designer is required to remodel the surface by reference to interactive graphics. This particular facility can be advantageous in CAD of body support surfaces, such as design of sockets of limb prostheses, shoe insoles, and custom seating. The B-spline surface is defined by a polygon of control points which in general do not lie on the surface, but which form a convex hull enclosing the surface. Each control point can be adjusted to remodel the surface locally. The resultant curves are well behaved. However, in these biomedical applications the original surface prior to modification is usually defined by a limited set of point measurements from the body segment in question. Thus there is a need initially to define a B-spline surface which interpolates this set of data points. In this paper, a computer-iterative method of fitting a B-spline surface to a given set of data points is outlined, and the technique is demonstrated for a curve. Extension to a surface is conceptually straightforward.

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Cizdziel, P. E., M. de Mars, and E. C. Murphy. "Exploitation of a thermosensitive splicing event to study pre-mRNA splicing in vivo." Molecular and Cellular Biology 8, no. 4 (April 1988): 1558–69. http://dx.doi.org/10.1128/mcb.8.4.1558.

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The spliced form of MuSVts110 viral RNA is approximately 20-fold more abundant at growth temperatures of 33 degrees C or lower than at 37 to 41 degrees C. This difference is due to changes in the efficiency of MuSVts110 RNA splicing rather than selective thermolability of the spliced species at 37 to 41 degrees C or general thermosensitivity of RNA splicing in MuSVts110-infected cells. Moreover, RNA transcribed from MuSVts110 DNA introduced into a variety of cell lines is spliced in a temperature-sensitive fashion, suggesting that the structure of the viral RNA controls the efficiency of the event. We exploited this novel splicing event to study the cleavage and ligation events during splicing in vivo. No spliced viral mRNA or splicing intermediates were observed in MuSVts110-infected cells (6m2 cells) at 39 degrees C. However, after a short (about 30-min) lag following a shift to 33 degrees C, viral pre-mRNA cleaved at the 5' splice site began to accumulate. Ligated exons were not detected until about 60 min following the initial detection of cleavage at the 5' splice site, suggesting that these two splicing reactions did not occur concurrently. Splicing of viral RNA in the MuSVts110 revertant 54-5A4, which lacks the sequence -AG/TGT- at the usual 3' splice site, was studied. Cleavage at the 5' splice site in the revertant viral RNA proceeded in a temperature-sensitive fashion. No novel cryptic 3' splice sites were activated; however, splicing at an alternate upstream 3' splice site used at low efficiency in normal MuSVts110 RNA was increased to a level close to that of 5'-splice-site cleavage in the revertant viral RNA. Increased splicing at this site in 54-5A4 viral RNA is probably driven by the unavailability of the usual 3' splice site for exon ligation. The thermosensitivity of this alternate splice event suggests that the sequences governing the thermodependence of MuSVts110 RNA splicing do not involve any particular 3' splice site or branch point sequence, but rather lie near the 5' end of the intron.

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Cizdziel, P. E., M. de Mars, and E. C. Murphy. "Exploitation of a thermosensitive splicing event to study pre-mRNA splicing in vivo." Molecular and Cellular Biology 8, no. 4 (April 1988): 1558–69. http://dx.doi.org/10.1128/mcb.8.4.1558-1569.1988.

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The spliced form of MuSVts110 viral RNA is approximately 20-fold more abundant at growth temperatures of 33 degrees C or lower than at 37 to 41 degrees C. This difference is due to changes in the efficiency of MuSVts110 RNA splicing rather than selective thermolability of the spliced species at 37 to 41 degrees C or general thermosensitivity of RNA splicing in MuSVts110-infected cells. Moreover, RNA transcribed from MuSVts110 DNA introduced into a variety of cell lines is spliced in a temperature-sensitive fashion, suggesting that the structure of the viral RNA controls the efficiency of the event. We exploited this novel splicing event to study the cleavage and ligation events during splicing in vivo. No spliced viral mRNA or splicing intermediates were observed in MuSVts110-infected cells (6m2 cells) at 39 degrees C. However, after a short (about 30-min) lag following a shift to 33 degrees C, viral pre-mRNA cleaved at the 5' splice site began to accumulate. Ligated exons were not detected until about 60 min following the initial detection of cleavage at the 5' splice site, suggesting that these two splicing reactions did not occur concurrently. Splicing of viral RNA in the MuSVts110 revertant 54-5A4, which lacks the sequence -AG/TGT- at the usual 3' splice site, was studied. Cleavage at the 5' splice site in the revertant viral RNA proceeded in a temperature-sensitive fashion. No novel cryptic 3' splice sites were activated; however, splicing at an alternate upstream 3' splice site used at low efficiency in normal MuSVts110 RNA was increased to a level close to that of 5'-splice-site cleavage in the revertant viral RNA. Increased splicing at this site in 54-5A4 viral RNA is probably driven by the unavailability of the usual 3' splice site for exon ligation. The thermosensitivity of this alternate splice event suggests that the sequences governing the thermodependence of MuSVts110 RNA splicing do not involve any particular 3' splice site or branch point sequence, but rather lie near the 5' end of the intron.

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Pobegailo, A. P. "Construction of spline curves on smooth manifolds by action of Lie groups." LMS Journal of Computation and Mathematics 18, no. 1 (2015): 217–30. http://dx.doi.org/10.1112/s1461157014000473.

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AbstractPolynomials for blending parametric curves in Lie groups are defined. Properties of these polynomials are proved. Blending parametric curves in Lie groups with these polynomials is considered. Then application of the proposed technique to construction of spline curves on smooth manifolds is presented. As an example, construction of spherical spline curves using the proposed approach is depicted.

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Padhan, Rudra Narayan, and K. C. Pati. "Splints of root systems of basic Lie superalgebras." Journal of Physics: Conference Series 1194 (April 2019): 012085. http://dx.doi.org/10.1088/1742-6596/1194/1/012085.

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Lyakhovsky, V. D., A. A. Nazarov, and P. I. Kakin. "Splints of root systems for special Lie subalgebras." Theoretical and Mathematical Physics 185, no. 1 (October 2015): 1471–80. http://dx.doi.org/10.1007/s11232-015-0356-1.

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De Concini, C., C. Procesi, and M. Vergne. "Box splines and the equivariant index theorem." Journal of the Institute of Mathematics of Jussieu 12, no. 3 (June 1, 2012): 503–44. http://dx.doi.org/10.1017/s1474748012000734.

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AbstractIn this article, we begin by recalling the inversion formula for the convolution with the box spline. The equivariant cohomology and the equivariant $K$-theory with respect to a compact torus $G$ of various spaces associated to a linear action of $G$ in a vector space $M$ can both be described using some vector spaces of distributions, on the dual of the group $G$ or on the dual of its Lie algebra $\mathfrak{g}$. The morphism from $K$-theory to cohomology is analyzed, and multiplication by the Todd class is shown to correspond to the operator (deconvolution) inverting the semi-discrete convolution with a box spline. Finally, the multiplicities of the index of a $G$-transversally elliptic operator on $M$ are determined using the infinitesimal index of the symbol.

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Sommer, Hannes, James Richard Forbes, Roland Siegwart, and Paul Furgale. "Continuous-Time Estimation of Attitude Using B-Splines on Lie Groups." Journal of Guidance, Control, and Dynamics 39, no. 2 (February 2016): 242–61. http://dx.doi.org/10.2514/1.g001149.

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Dissertations / Theses on the topic "Splines with LME"

1

Howell, John R. "Analysis Using Smoothing Via Penalized Splines as Implemented in LME() in R." Diss., CLICK HERE for online access, 2007. http://contentdm.lib.byu.edu/ETD/image/etd1702.pdf.

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Popiel, Tomasz. "Geometrically-defined curves in Riemannian manifolds." University of Western Australia. School of Mathematics and Statistics, 2007. http://theses.library.uwa.edu.au/adt-WU2007.0119.

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[Truncated abstract] This thesis is concerned with geometrically-defined curves that can be used for interpolation in Riemannian or, more generally, semi-Riemannian manifolds. As in much of the existing literature on such curves, emphasis is placed on manifolds which are important in computer graphics and engineering applications, namely the unit 3-sphere S3 and the closely related rotation group SO(3), as well as other Lie groups and spheres of arbitrary dimension. All geometrically-defined curves investigated in the thesis are either higher order variational curves, namely critical points of cost functionals depending on (covariant) derivatives of order greater than 1, or defined by geometrical algorithms, namely generalisations to manifolds of algorithms from the field of computer aided geometric design. Such curves are needed, especially in the aforementioned applications, since interpolation methods based on applying techniques of classical approximation theory in coordinate charts often produce unnatural interpolants. However, mathematical properties of higher order variational curves and curves defined by geometrical algorithms are in need of substantial further investigation: higher order variational curves are solutions of complicated nonlinear differential equations whose properties are not well-understood; it is usually unclear how to impose endpoint derivative conditions on, or smoothly piece together, curves defined by geometrical algorithms. This thesis addresses these difficulties for several classes of curves. ... The geometrical algorithms investigated in this thesis are generalisations of the de Casteljau and Cox-de Boor algorithms, which define, respectively, polynomial B'ezier and piecewise-polynomial B-spline curves by dividing, in certain ratios and for a finite number of iterations, piecewise-linear control polygons corresponding to finite sequences of control points. We show how the control points of curves produced by the generalised de Casteljau algorithm in an (almost) arbitrary connected finite-dimensional Riemannian manifold M should be chosen in order to impose desired endpoint velocities and (covariant) accelerations and, thereby, piece the curves together in a C2 fashion. A special case of the latter construction simplifies when M is a symmetric space. For the generalised Cox-de Boor algorithm, we analyse in detail the failure of a fundamental property of B-spline curves, namely C2 continuity at (certain) knots, to carry over to M.

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Willersjö, Nyfelt Emil. "Comparison of the 1st and 2nd order Lee–Carter methods with the robust Hyndman–Ullah method for fitting and forecasting mortality rates." Thesis, Mälardalens högskola, Akademin för utbildning, kultur och kommunikation, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:mdh:diva-48383.

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The 1st and 2nd order Lee–Carter methods were compared with the Hyndman–Ullah method in regards to goodness of fit and forecasting ability of mortality rates. Swedish population data was used from the Human Mortality Database. The robust estimation property of the Hyndman–Ullah method was also tested with inclusion of the Spanish flu and a hypothetical scenario of the COVID-19 pandemic. After having presented the three methods and making several comparisons between the methods, it is concluded that the Hyndman–Ullah method is overall superior among the three methods with the implementation of the chosen dataset. Its robust estimation of mortality shocks could also be confirmed.

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Book chapters on the topic "Splines with LME"

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Lemarie, Pierre Gilles. "Wavelets, Spline Interpolation and Lie Groups." In ICM-90 Satellite Conference Proceedings, 154–64. Tokyo: Springer Japan, 1991. http://dx.doi.org/10.1007/978-4-431-68168-7_13.

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Leni, Pierre-Emmanuel, Yohan D. Fougerolle, and Frédéric Truchetet. "The Kolmogorov Spline Network for Authentication Data Embedding in Images." In Efficiency and Scalability Methods for Computational Intellect, 96–114. IGI Global, 2013. http://dx.doi.org/10.4018/978-1-4666-3942-3.ch005.

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In 1900, Hilbert declared that high order polynomial equations could not be solved by sums and compositions of continuous functions of less than three variables. This statement was proven wrong by the superposition theorem, demonstrated by Arnol’d and Kolmogorov in 1957, which allows for writing all multivariate functions as sums and compositions of univariate functions. Amongst recent computable forms of the theorem, Igelnik and Parikh’s approach, known as the Kolmogorov Spline Network (KSN), offers several alternatives for the univariate functions as well as their construction. A novel approach is presented for the embedding of authentication data (black and white logo, translucent or opaque image) in images. This approach offers similar functionalities than watermarking approaches, but relies on a totally different theory: the mark is not embedded in the 2D image space, but it is rather applied to an equivalent univariate representation of the transformed image. Using the progressive transmission scheme previously proposed (Leni, 2011), the pixels are re-arranged without any neighborhood consideration. Taking advantage of this naturally encrypted representation, it is proposed to embed the watermark in these univariate functions. The watermarked image can be accessed at any intermediate resolution, and fully recovered (by removing the embedded mark) without loss using a secret key. Moreover, the key can be different for every resolution, and both the watermark and the image can be globally restored in case of data losses during the transmission. These contributions lie in proposing a robust embedding of authentication data (represented by a watermark) into an image using the 1D space of univariate functions based on the Kolmogorov superposition theorem. Lastly, using a key, the watermark can be removed to restore the original image.

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Harcourt, Alison, George Christou, and Seamus Simpson. "Political Drift and Forum Shifts." In Global Standard Setting in Internet Governance, 80–101. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198841524.003.0005.

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This chapter explains one of the most important components of the web: the development and standardization of Hypertext Markup Language (HTML) and DOM (Document Object Model) which are used for creating web pages and applications. In 1994, Tim Berners-Lee established the World Wide Web consortium (W3C) to work on HTML development. In 1995, the W3C decided to introduce a new standard, WHTML 2.0. However, it was incompatible with the older HTML/WHTML versions. This led to the establishment of Web Hypertext Application Technology Working Group (WHATWG) which worked externally to the W3C. WHATWG developed HTML5 which was adopted by the major browser developers Google, Opera, Mozilla, IBM, Microsoft, and Apple. For this reason, the W3C decided to work on HTML5, leading to a joint WHATWG/W3C working group. This chapter explains the development of HTML and WHATWG’s Living Standard with explanation of ongoing splits and agreements between the two fora. It explains how this division of labour led to W3C focus on the main areas of web architecture, the semantic web, the web of devices, payments applications, and web and television (TV) standards. This has led to the spillover of work to the W3C from the national sphere, notably in the development of copyright protection for TV streaming.

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Conference papers on the topic "Splines with LME"

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Sommer, Christiane, Vladyslav Usenko, David Schubert, Nikolaus Demmel, and Daniel Cremers. "Efficient Derivative Computation for Cumulative B-Splines on Lie Groups." In 2020 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR). IEEE, 2020. http://dx.doi.org/10.1109/cvpr42600.2020.01116.

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Sprott, Kenneth, and Bahram Ravani. "Ruled Surfaces, Lie Groups, and Mesh Generation." In ASME 1997 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/detc97/dac-3996.

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Abstract This paper develops a method for design of Beziér and B-spline ruled surfaces taking advantage of the Lie group structure associated with the displacement of lines. The result is a computational method which is independent of the choice of coordinate system. The method is unique in that it can be used on a set of intersecting lines and in this way is applied to automatic mesh generation for finite element analysis.

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Prodan, Ionela, Florin Stoican, and Christophe Louembet. "Necessary and sufficient LMI conditions for constraints satisfaction within a B-spline framework." In 2019 IEEE 58th Conference on Decision and Control (CDC). IEEE, 2019. http://dx.doi.org/10.1109/cdc40024.2019.9030240.

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