Movement Stability of D-Optimal Sensor Placement Under Projector Perturbations T1GYQ6SCCZ

URI	`m2://res/T1GYQ6SCCZ`
Kind	preprint
Creators	Isabella Yin, Laura P. Schaposnik
Date	2026-10-06
MSC	49-XX, 90-XX, 93-XX
Subjects	arxiv math.OC, arxiv eess.SP
Scope	in

Expressions

e1: version, preprint

Language	en
Date	2026-10-06
Ids	arXiv 2610.08152

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
Discrete Sturm oscillation on a weighted path	statement	lemma 4.4	arxiv
Nondegeneracy in undersampled case	statement	lemma 2.4	arxiv
Voronoi restriction losslessness under enough spacing	statement	corollary 6.5	arxiv
Losslessness under an assignment consistent with the Voronoi cells	statement	corollary 6.3	arxiv
Average-case persistence from the second-best gap	statement	corollary 3.6	arxiv
Distance margin representation	statement	proposition 5.1	arxiv
Projector drift via Davis--Kahan	statement	lemma 4.2	arxiv
Bottleneck matching distance	definition	definition 2.5	arxiv
Uniform regularized stability	statement	lemma 7.3	arxiv
Compression	statement	lemma 3.1	arxiv
Determinant lower bound for the smallest eigenvalue	statement	proposition 3.3	arxiv
Compatibility with strict Voronoi cells	statement	proposition 6.4	arxiv
Movement bound in the oversampled case	statement	theorem 7.2	arxiv
Local restrictions can lose the optimum without separation	statement	proposition 6.2	arxiv
Laplacian projector movement stability	statement	corollary 4.3	arxiv
Movement bound for the regularized objective	statement	theorem 7.4	arxiv
No Movement Bound With Only Perturbation Size and Eigengap	statement	theorem 4.5	arxiv
Perfect-matching test	statement	proposition 5.2	arxiv
Determinant-based movement bound	statement	corollary 3.5	arxiv
Metric property	statement	proposition 2.6	arxiv
Maximizers	definition	definition 2.3	arxiv
Oversampled log-determinant stability	statement	lemma 7.1	arxiv
$P$-hop bridge	statement	theorem 6.1	arxiv
Log-determinant stability	statement	lemma 3.2	arxiv
Distance margin	definition	definition 2.7	arxiv
Distance margin stability under projector perturbation	statement	theorem 3.4	arxiv

Catalogue records

arxiv: 2610.08152 (work)
arxiv_text: 2610.08152 (work)