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On the estimation of probability of error

1974 IEEE Conference on Decision and Control including the 13th Symposium on Adaptive Processes, 1974
This paper considers the problem of estimation of classification error in Pattern Recognition. A Theorem is presented to obtain the changes in the eigenvalues and eigenvectors of matrices of the form S2 -1 S1, when there are changes of first order of smallness in the real Symmetric matrices Si, i=1, 2.
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Channel and capacity estimation errors

IEEE Communications Letters, 2002
Systems with multiple element transmitter and receiver arrays have been shown to achieve very high spectral efficiencies. The theoretically achievable Shannon capacity is a function of the channel between the transmitters and the receivers. On the simulation level, one assumes certain statistical characteristics for the channel, but on a practical ...
Kyritsi, Persefoni   +2 more
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On Weak Residual Error Estimation

SIAM Journal on Scientific Computing, 1996
A general framework for weak residual error estimators applying to various types of boundary value problems in connection with finite element and finite volume approximations is developed. Basic ideas commonly shared by various applications in error estimation and adaptive computation are presented and illustrated.
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Error estimation and control for ODEs

Journal of Scientific Computing, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Error estimation and error bounds for neural networks

Proceedings 1995 Second New Zealand International Two-Stream Conference on Artificial Neural Networks and Expert Systems, 2002
A method is proposed to estimate the standard error of predicted values in multilayer perceptron (MLP). It is based on likelihood theory. It holds for all feedforward networks, irrespective of the topology or the specific task at hand. In addition, the bounds on a neural network with perturbed weights and inputs is analytically derived.
Hualou Liang, Guiliang Dai
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On Quasi-Norm Interpolation Error Estimation And A Posteriori Error Estimates for p-Laplacian

SIAM Journal on Numerical Analysis, 2002
In this paper, we establish a series of interpolation error estimates for several widely used averaging interpolators in some quasi norms. These estimates are among the key ingredients in our improved a posteriori error analysis for the p-Laplacian. The quasi-norm interpolation error estimates are used to derive a posteriori error estimators for some ...
Wenbin Liu, Ningning Yan
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Generalization error of ensemble estimators

Proceedings of International Conference on Neural Networks (ICNN'96), 2002
It has been empirically shown that a better estimate with less generalization error can be obtained by averaging outputs of multiple estimators. This paper presents an analytical result for the generalization error of ensemble estimators. First, we derive a general expression of the ensemble generalization error by using factors of interest (bias ...
Naonori Ueda, Ryohei Nakano
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Bounds and error estimates for radiosity

Proceedings of the 21st annual conference on Computer graphics and interactive techniques - SIGGRAPH '94, 1994
We present a method for determining a posteriori bounds and estimates for local and total errors in radiosity solutions. The ability to obtain bounds and estimates for the total error is crucial fro reliably judging the acceptability of a solution. Realistic estimates of the local error improve the efficiency of adaptive radiosity algorithms, such as ...
Dani Lischinski   +2 more
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The Error Estimates

2003
In this chapter we assume the spacetime K is foliated by a double null canonical foliation that satisfies the assumptions $$O \leqslant \epsilon_0 ,\,D \leqslant \epsilon_0 ,$$ (6.0.1) and we make use of the inequality proved in Theorem M7 $$R \leqslant cQ_K^{\frac{1} {2}} .$$ (6.0.2)
Sergiu Klainerman, Francesco Nicolò
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