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Score-Based Tests With Fixed Effects Person Parameters in Item Response Theory: Detecting Model Misspecification Including Differential Item Functioning. [PDF]

Appl Psychol Meas
Debelak R, Driver CC.
europepmc   +1 more source

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New A Priori FEM Error Estimates for Eigenvalues

SIAM Journal on Numerical Analysis, 2006
We analyze the Ritz--Galerkin method for symmetric eigenvalue problems and prove a priori eigenvalue error estimates. For a simple eigenvalue, we prove an error estimate that depends mainly on the approximability of the corresponding eigenfunction and provide explicit values for all constants.
Andrew Knyazev
exaly   +2 more sources

A Priori Estimates of the Generalization Error for Autoencoders

ICASSP 2020 - 2020 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2020
Autoencoder is a machine learning model which aims for dimensionality reduction, by reconstructing its input through a bottleneck with lower dimension than the input. It is among the most popular models used in unsupervised learning and semi-supervised learning. In this paper, we build theoretical understanding about autoencoders.
Zehao Don, Weinan E, Chao Ma 0012
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New anisotropic a priori error estimates

Numerische Mathematik, 2001
We prove a priori anisotropic estimates for the $L^2$ and $H^1$ interpolation error on linear finite elements. The full information about the mapping from a reference element is employed to separate the contribution to the elemental error coming from different directions. This new
FORMAGGIA, LUCA, PEROTTO, SIMONA
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Asymptotic a priori estimates for the error in the nonlinear filtering problem (Corresp.)

IEEE Transactions on Information Theory, 1982
The minimal mean-square error for the scalar nonlinear filtering problem is considered. Asymptotic lower and upper bounds on the error are derived for the case where the intensity of the observation noise tends to zero.
Ben-Zion Bobrovsky, Moshe Zakai
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