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Recovery Guarantees for Posterior Sampling of One-Bit Compressed Sensing SMC03CWP4R

URI	`m2://res/SMC03CWP4R`
Kind	preprint
Creators	Jing Ma, Yujia Wu, Zhaoqiang Liu
Date	2026-10-08
Subjects	arxiv cs.LG, arxiv cs.IT, arxiv math.IT
Scope	border

Expressions

e1: version, preprint

Date	2026-10-08
Ids	arXiv 2610.11834

Items in this resource

The mentions of the inventory that name this resource. Each name links to the card of its inventory row.

Item	Kind	Where	Source
Geodesic Wasserstein distance	definition	definition 3	arxiv
79GQJ43B4F	statement	lemma 1	arxiv
Adapted	statement	lemma B.2	arxiv
Expected Hamming distance between noisy and noiseless one-bit measurements	statement	lemma 3.2	arxiv
One-bit probit conditional likelihood	definition	definition 6	arxiv
CH2ZFZQHA3	statement	lemma A.1	arxiv
Mutual Information Bound	statement	lemma 3.7	arxiv
Variant of spherical Fano inequality	statement	lemma 3.8	arxiv
FEQK6V9VRD	statement	lemma A.2	arxiv
Maximum row $\ell_2$ norm	definition	definition 5	arxiv
Overall recovery upper bound for one-bit posterior sampling under a covering partition	statement	lemma 3.4	arxiv
JMAZME4NF2	statement	lemma B.1	arxiv
One-bit near--far test lemma	statement	lemma 3.3	arxiv
Information lower bound for one-bit compressed sensing	statement	theorem 3.6	arxiv
R\'enyi stability under spherical $W_{\infty,\mathrm{geo}}$ mismatch	statement	lemma 3.5	arxiv
One-bit separation gap	definition	definition 4	arxiv
Signal and observation distances	definition	definition 1	arxiv
$(\eta,\delta)$-approximate covering number	definition	definition 2	arxiv
One-bit posterior sampling upper bound	statement	theorem 3.1	arxiv

Catalogue records

arxiv: 2610.11834 (work)