Պահպանված է:
| Հիմնական հեղինակներ: | , |
|---|---|
| Ձևաչափ: | Preprint |
| Հրապարակվել է: |
2023
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| Խորագրեր: | |
| Առցանց հասանելիություն: | https://arxiv.org/abs/2306.02607 |
| Ցուցիչներ: |
Ավելացրեք ցուցիչ
Չկան պիտակներ, Եղեք առաջինը, ով նշում է այս գրառումը!
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Բովանդակություն:
- In sparse signal processing, this study investigates the effect of the global shrinkage parameter $τ$ of a horseshoe prior, one of the global-local shrinkage prior, on the linear regression. Statistical mechanics methods are employed to examine the accuracy of signal estimation. A phase diagram of successful and failure of signal recovery in noise-less compressed sensing with varying $τ$ is discussed from the viewpoint of dynamic characterization of the approximate message passing as a solving algorithm and static characterization of the free-energy landscape. It is found that there exists a parameter region where the approximate message passing algorithm can hardly recover the true signal, even though the true signal is locally stable. The analysis of the free-energy landscape also provides important insight into the optimal choice of $τ$.