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Demystifying Lie Group Methods for Signal Processing: A Tutorial

delete2021-03-01
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Riccardo Bernardini *
R
R. Rinaldo
DOI:10.1109/MSP.2020.3023540delete
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Abstract

Abstract

En 中文
Many problems in signal processing [e.g., filter bank design, independent component analysis (ICA), beamforming design, and neural network training] can be formulated as optimization over groups of transformations that depend continuously on real parameters (Lie groups). Such problems are usually tackled in two ways: using a constrained optimization procedure or using some parameterization to transform them into unconstrained problems.
Keywords:
Training data
Array signal processing
Neural networks
Filter banks
Transforms
Independent component analysis
Optimization
Tutorials
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IEEE Signal Processing Magazine cover
IEEE Signal Processing Magazine
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University of Udine
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