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Coil Sketching for Fast and Efficient 4D Lung MRI Reconstruction. [PDF]
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Normal Multiresolution Approximation of Curves
Constructive Approximation, 2004Subdivision is a powerful procedure for iteratively creating smooth curves and surfaces. Combined with wavelet methods, subdivision can be used to approximate functions, curves, and surfaces. The authors discuss the multiresolution approximation of a plane curve \(\Gamma\) in detail. A multiresolution approximation of \(\Gamma\) is called normal if all
Daubechies, Ingrid +2 more
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Multivariate Normal Approximation
2011Chapter 12 considers multivariate normal approximation, extending both the size bias and exchangeable pair methods to this setting. In the latter case it is shows how in some instances the exchangeable pair ‘linearity condition’ can be achieved by embedding the problem in a higher dimension.
Louis H. Y. Chen +2 more
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Discretized Normal Approximation
2011Returning to the independent case, and inspired by use of the continuity correction for the normal approximation of the binomial, Chap. 7 considers the approximation of independent sums of integer valued random variables by the discretized normal distribution, in the total variation metric.
Louis H. Y. Chen +2 more
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Normal Approximation in Hilbert Space. II
Theory of Probability & Its Applications, 1989This paper contains the proofs of the main results stated in the first part [ibid., No.2, 225-245 (1988; Zbl 0649.60005)].
Zalesskij, B. A. +2 more
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2011
Momentarily departing from the normal case, approximations by continuous distributions for which the methods of the previous chapters may be extended are considered in Chap. 13. The bounds developed are applied to the approximation of the distribution of the total spin of the Curie–Weiss model from statistical physics, at the critical inverse ...
Louis H. Y. Chen +2 more
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Momentarily departing from the normal case, approximations by continuous distributions for which the methods of the previous chapters may be extended are considered in Chap. 13. The bounds developed are applied to the approximation of the distribution of the total spin of the Curie–Weiss model from statistical physics, at the critical inverse ...
Louis H. Y. Chen +2 more
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Approximate normalized cuts without Eigen-decomposition
Information Sciences, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jia, Hongjie +3 more
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Normalizing Vogel's Approximation Method
Mathematics Magazine, 1972This paper describes an approximation method for determining an initial basic feasible solution to transportation type problems. The paper presents a "cost normalization" which is easily performed with the aid of a computer. In over 200 random problems tested, this normalizing (while using little time itself) has reduced the average number of ...
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The Statistician, 1982
It is very useful to have simple approximations to the cumulative normal distribution. About every statistician carries a pocket calculator, but how many of us carry a book of tables everywhere we go? When working 'with a desk-top microcomputer it would be inefficient to have to stop to look up tables frequently.
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It is very useful to have simple approximations to the cumulative normal distribution. About every statistician carries a pocket calculator, but how many of us carry a book of tables everywhere we go? When working 'with a desk-top microcomputer it would be inefficient to have to stop to look up tables frequently.
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Siberian Mathematical Journal, 1984
For a sum of centered independent random vectors \(X_1, X_2,\ldots\); \(E| X_i|^3 \leq L\), \(E| X_i|^2 \leq 1\) taking values in the space \(\ell_{2k}\) \((k\) is natural) with a common covariance operator and \(Y\) a Gaussian centered random vector in \(\ell_{2k}\) with the same covariance operator the following result is proved: \[ P\{| a+S_n|
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For a sum of centered independent random vectors \(X_1, X_2,\ldots\); \(E| X_i|^3 \leq L\), \(E| X_i|^2 \leq 1\) taking values in the space \(\ell_{2k}\) \((k\) is natural) with a common covariance operator and \(Y\) a Gaussian centered random vector in \(\ell_{2k}\) with the same covariance operator the following result is proved: \[ P\{| a+S_n|
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