English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

We propose extended coherence-based conditions for exact sparse supportrecovery using orthogonal matching pursuit (OMP) and orthogonal least squares(OLS). Unlike standard uniform guarantees, we embed some information about thedecay of the sparse vector coefficients in our conditions. As a result, thestandard condition $\mu<1/(2k-1)$ (where $\mu$ denotes the mutual coherence and$k$ the sparsity level) can be weakened as soon as the non-zero coefficientsobey some decay, both in the noiseless and the bounded-noise scenarios.Furthermore, the resulting condition is approaching $\mu<1/k$ for stronglydecaying sparse signals. Finally, in the noiseless setting, we prove that theproposed conditions, in particular the bound $\mu<1/k$, are the tightestachievable guarantees based on mutual coherence.

Relaxed Recovery Conditions for OMP/OLS by Exploiting both Coherence and Decay