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Unified Bayesian Inference Framework for Generalized Linear Models
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DOI：10.1109/LSP.2017.2789163.png)
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摘要
En 中文
In this letter, we present a unified Bayesian inference framework for generalized linear models (GLM), which iteratively reduces the GLM problem to a sequence of standard linear model (SLM) problems. This framework provides new perspectives on some established GLM algorithms derived from SLM ones and also suggests novel extensions for some other SLM algorithms. Specific instances elucidated under such framework are the GLM versions of approximate message passing (AMP), vector AMP, and sparse Bayesian learning. It is proved that the resultant GLM version of AMPis equivalent to the well-knowngeneralized approximate message passing. Numerical results for one-bit quantized compressed sensing demonstrate the effectiveness of this unified framework.
Keyword:
Approximate message passing (AMP)
compressed sensing (CS)
generalized linear models (GLM)
sparse Bayesian learning SBL)
vector approximate message passing (VAMP)
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9.6
论文数:
1.1W
被引数:
1.7W
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