
A backward biorthogonalization approach is proposed, which modifies biorthogonal functions so as to generate orthogonal projections onto a reduced subspace. The technique is relevant to problems amenable to be represented by a general linear model. In particular, problems of data compression, noise reduction, and sparse representations may be tackled by the proposed approach.
orthogonal projections, FOS: Physical sciences, Completeness of sets of functions in one variable harmonic analysis, Mathematical Physics (math-ph), backward biorthogonalization, Functional Analysis (math.FA), Mathematics - Functional Analysis, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), QA1-939, FOS: Mathematics, Linear function spaces and their duals, Mathematics, Completeness of sets of functions in nontrigonometric harmonic analysis, Mathematical Physics
orthogonal projections, FOS: Physical sciences, Completeness of sets of functions in one variable harmonic analysis, Mathematical Physics (math-ph), backward biorthogonalization, Functional Analysis (math.FA), Mathematics - Functional Analysis, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), QA1-939, FOS: Mathematics, Linear function spaces and their duals, Mathematics, Completeness of sets of functions in nontrigonometric harmonic analysis, Mathematical Physics
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