Tractable Bound for Spherical Section Property in the Presence of Side-Information
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Bibliographic record
Abstract
This letter provides a tractable bound for a perfect recovery condition in compressed sensing matrices using the spherical section property in the presence of side information. In particular, when the signal of interest is provided with side-information, we derive an equivalent semidefinite relaxation bound by introducing the related prior knowledge as an additional constraint to the semidefinite programming (SDP) problem. We recast a linear program (LP) cone to this problem and found the dual-SDP to be less complex to handle. Numerical evaluations on the proposed dual-SDP, validates the existence of sparse solutions with high- cardinalities.
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Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
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