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ACM Transactions on Mathematical Software (TOMS)
Spatially adaptive splines for statistical linear inverse problems
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Wavelet domain signal deconvolution with singularity-preserving regularization
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Realization of a spatially multiplexed MIMO system
EURASIP Journal on Applied Signal Processing
Algorithm 873: LSTRS: MATLAB software for large-scale trust-region subproblems and regularization
ACM Transactions on Mathematical Software (TOMS)
Measurement-based characterization of IP VPNs
IEEE/ACM Transactions on Networking (TON)
The Lagrange method for the regularization of discrete ill-posed problems
Computational Optimization and Applications - Special issue: Numerical analysis of optimization in partial differential equations
The Lagrange method for the regularization of discrete ill-posed problems
Computational Optimization and Applications
On the equivalence between the MMSE receiver and Tikhonov regularization
SoftCOM'09 Proceedings of the 17th international conference on Software, Telecommunications and Computer Networks
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ISBRA'07 Proceedings of the 3rd international conference on Bioinformatics research and applications
Modeling and identification of nonlinear systems in the short-time fourier transform domain
IEEE Transactions on Signal Processing
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A subgradient solution to structured robust least squares problems
IEEE Transactions on Signal Processing
Low complexity equalization for doubly selective channels modeled by a basis expansion
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
Costco: robust content and structure constrained clustering of networked documents
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A rational Arnoldi approach for ill-conditioned linear systems
Journal of Computational and Applied Mathematics
A regularised estimator for long-range dependent processes
Automatica (Journal of IFAC)
Fuzzy lattice and function approximation in image processing
International Journal of Intelligent Systems Technologies and Applications
Approximate computation and implicit regularization for very large-scale data analysis
PODS '12 Proceedings of the 31st symposium on Principles of Database Systems
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Expert Systems with Applications: An International Journal
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Expert Systems with Applications: An International Journal
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ACM Transactions on Multimedia Computing, Communications, and Applications (TOMCCAP)
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IJCAI'11 Proceedings of the Twenty-Second international joint conference on Artificial Intelligence - Volume Volume Two
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It is shown that the basic regularization procedures for finding meaningful approximate solutions of ill-conditioned or singular linear systems can be phrased and analyzed in terms of classical linear algebra that can be taught in any numerical analysis course. Apart from rewriting many known results in a more elementary form, we also derive a new two-parameter family of merit functions for the determination of the regularization parameter. The traditional merit functions from generalized cross validation (GCV) and generalized maximum likelihood (GML) are recovered as special cases.