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54
Splines in Statistics*
"... ABSTRACT. Spline functions are particularly appropriate in fitting a smooth nonparametric model to noisy data. The usc of spline functions in nonparametric density estimation and spectral estimation is surveyed. The requisite spline theory background is also developed. Key Words and Phrases. ..."
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ABSTRACT. Spline functions are particularly appropriate in fitting a smooth nonparametric model to noisy data. The usc of spline functions in nonparametric density estimation and spectral estimation is surveyed. The requisite spline theory background is also developed. Key Words and Phrases.
SplineBased Adaptive Resolution Image
"... Bayesian probability theory allows to infer an image given data constraints, prior knowledge, and background information. One ingredient of the background information is usually paid little attention, namely the imagegrid, i.e. the points on which the desired image is reconstructed. In many problem ..."
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Bayesian probability theory allows to infer an image given data constraints, prior knowledge, and background information. One ingredient of the background information is usually paid little attention, namely the imagegrid, i.e. the points on which the desired image is reconstructed. In many
Bayesian Background Estimation
"... Abstract. The ubiquitous problem of estimating the background of a measured spectrum is solved with Bayesian probability theory. A mixture model is used to capture the defining characteristics of the problem, namely that the background is smoother than the signal. The smoothness property is quantifi ..."
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Cited by 1 (0 self)
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Abstract. The ubiquitous problem of estimating the background of a measured spectrum is solved with Bayesian probability theory. A mixture model is used to capture the defining characteristics of the problem, namely that the background is smoother than the signal. The smoothness property
Spike train metrics Theoretical background
"... Quantifying similarity and dissimilarity of spike trains is an important requisite for understanding neural codes. Spike metrics constitute a class of approaches to this problem. In contrast to most signalprocessing methods, spike metrics operate on time series of allornone events, and are, thus ..."
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Quantifying similarity and dissimilarity of spike trains is an important requisite for understanding neural codes. Spike metrics constitute a class of approaches to this problem. In contrast to most signalprocessing methods, spike metrics operate on time series of allornone events, and are
On gauge bosons in the matrix model approach to M theory,” Phys
 Lett. B
, 1997
"... We discuss the appearance of E8 × E8 gauge bosons in Banks, Fischler, Shenker, and Susskind’s zero brane quantum mechanics approach to M theory, compactified on the interval S 1 /Z2. The necessary bound states of zero branes are proven to exist by a straightforward application of Tduality and heter ..."
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Cited by 31 (0 self)
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duality and heterotic Spin(32)/Z2Type I duality. We then study directly the zero brane Hamiltonian in Type I ′ theory. This Hamiltonian includes couplings between the zero branes and background Dirichlet 8 branes localized at the orientifold planes. We identify states, localized at the orientifold planes
Mixture Modeling for Background and Sources Separation in xray Astronomical Images
"... A probabilistic technique for the joint estimation of background and sources in highenergy astrophysics is described. Bayesian probability theory is applied to gain insight into the coexistence of background and sources through a probabilistic twocomponent mixture model, which provides consiste ..."
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A probabilistic technique for the joint estimation of background and sources in highenergy astrophysics is described. Bayesian probability theory is applied to gain insight into the coexistence of background and sources through a probabilistic twocomponent mixture model, which provides
MITCTP3556 hepth/0411040 Closed Superstring Emission from Rolling Tachyon Backgrounds
, 2004
"... We compute the lowest components of the Type II RamondRamond boundary state for the tachyon profile T(X) = λe X0 / √ 2 by direct path integral evaluation. The calculation is made possible by noting that the integrals involved in the requisite disk onepoint functions reduce to integrals over the ..."
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We compute the lowest components of the Type II RamondRamond boundary state for the tachyon profile T(X) = λe X0 / √ 2 by direct path integral evaluation. The calculation is made possible by noting that the integrals involved in the requisite disk onepoint functions reduce to integrals over
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"... This is a course on the theoretical foundations, models and techniques of queueing theory. Elementary through advanced queueing systems and networks will be covered. The requisite stochastic processes background material will be developed as the course progresses. The approach will be rigorous, but ..."
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Cited by 1 (0 self)
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This is a course on the theoretical foundations, models and techniques of queueing theory. Elementary through advanced queueing systems and networks will be covered. The requisite stochastic processes background material will be developed as the course progresses. The approach will be rigorous
On Algebraic Singularities, Finite Graphs and DBrane Gauge Theories: A String Theoretic Perspective
, 2002
"... In this writing we shall address certain beautiful interrelations between the construction of 4dimensional supersymmetric gauge theories and resolution of algebraic singularities, from the perspective of String Theory. We review in some detail the requisite background in both the mathematics, such ..."
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Cited by 11 (8 self)
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In this writing we shall address certain beautiful interrelations between the construction of 4dimensional supersymmetric gauge theories and resolution of algebraic singularities, from the perspective of String Theory. We review in some detail the requisite background in both the mathematics
HighQuality Image Resizing Using Oblique Projection Operators
 IEEE TRANS. IMAGE PROCESSING
, 1998
"... The standard interpolation approach to image resizing is to fit the original picture with a continuous model and resample the function at the desired rate. However, one can obtain more accurate results if one applies a filter prior to sampling, a fact well known from sampling theory. The optimal sol ..."
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Cited by 18 (2 self)
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(e.g, splines of degree n 3). We develop the theoretical background and present a si...
Results 1  10
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