Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-08T14:49:04.918292Z
Paper Citation Record · LEDGER
Covariates-Adjusted Mixed-Membership Estimation: A Novel Network Model with Optimal Guarantees
As of 19 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 2 inbound Pith citation observations for arXiv:2502.06671.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-05T12:13:14.281562Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-07-09T00:55:49.268838Z
Reference resolution
26 of 26 outbound references displayed
- verified exact0
- verified fuzzy15
- unresolved11
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 1e5bf8ba-da48-4a3e-a686-ac0f7aa9fb7e · outbound
This paper cites an unresolved cited work.
Covariates-Adjusted Mixed-Membership Estimation: A Novel Network Model with Optimal Guarantees Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-08T14:49:05.327578Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 8c08fa07-b369-49a6-ba3d-c4f63ebc6f40 · outbound
This paper cites See Appendix F.5.
Covariates-Adjusted Mixed-Membership Estimation: A Novel Network Model with Optimal Guarantees See Appendix F.5
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T14:49:05.342614Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 7297842c-50ff-494c-944b-61b89283e119 · outbound
This paper cites Note that ∇Xfdiff(FtRt) = 4caug n2 Xt(XtTXt−YtTYt)Rt, ∇Yfdiff(FtRt) = 4caug n2 Yt(YtTYt−XtTXt)Rt.
Covariates-Adjusted Mixed-Membership Estimation: A Novel Network Model with Optimal Guarantees Note that ∇Xfdiff(FtRt) = 4caug n2 Xt(XtTXt−YtTYt)Rt, ∇Yfdiff(FtRt) = 4caug n2 Yt(YtTYt−XtTXt)Rt
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T14:49:05.312338Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation dd0a3bae-4d5b-4f9f-97d2-ea9a974fc10b · outbound
This paper cites Note that X∗TX∗ = Y∗TY∗.
Covariates-Adjusted Mixed-Membership Estimation: A Novel Network Model with Optimal Guarantees Note that X∗TX∗ = Y∗TY∗
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T14:49:05.297038Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 791a5e68-2ec4-4484-a54d-ef40c4884b09 · outbound
This paper cites an unresolved cited work.
Covariates-Adjusted Mixed-Membership Estimation: A Novel Network Model with Optimal Guarantees Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-08T14:49:05.281721Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 9a8daef9-0b57-4685-a0dc-910a429bac99 · outbound
This paper cites an unresolved cited work.
Covariates-Adjusted Mixed-Membership Estimation: A Novel Network Model with Optimal Guarantees Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-08T14:49:05.267305Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 9b6394a3-4e3e-43f7-b227-a32d1af55dfe · outbound
This paper cites Notice that ∥Ft,(m)∥ =∥Ft,(m)Ot,(m)∥≤∥ Ft,(m)Ot,(m)−FtRt∥ +∥FtRt−F∗∥ +∥F∗∥≤ 2∥F∗∥.
Covariates-Adjusted Mixed-Membership Estimation: A Novel Network Model with Optimal Guarantees Notice that ∥Ft,(m)∥ =∥Ft,(m)Ot,(m)∥≤∥ Ft,(m)Ot,(m)−FtRt∥ +∥FtRt−F∗∥ +∥F∗∥≤ 2∥F∗∥
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T14:49:05.253234Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 82318e93-4dec-4286-9739-22f62ed63317 · outbound
This paper cites an unresolved cited work.
Covariates-Adjusted Mixed-Membership Estimation: A Novel Network Model with Optimal Guarantees Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-08T14:49:05.236970Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 0f2889af-e77f-43c4-b978-c61bdda49d25 · outbound
This paper cites Moreover, we have ∥Yt,(m)∥≤∥ Ft,(m)Ot,(m)−FtRt∥ +∥FtRt−F∗∥ +∥F∗∥≤ 2∥F∗∥.
Covariates-Adjusted Mixed-Membership Estimation: A Novel Network Model with Optimal Guarantees Moreover, we have ∥Yt,(m)∥≤∥ Ft,(m)Ot,(m)−FtRt∥ +∥FtRt−F∗∥ +∥F∗∥≤ 2∥F∗∥
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T14:49:05.222518Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 4e6c3588-eb30-40ec-a767-06c8f525eea4 · outbound
This paper cites Thus, we have ∥(c)∥2 ≲∥F∗∥∥F∗∥2,∞ ‖‖‖Yt,(m)Rt,(m)−Y∗ ‖‖‖≲√µrc11σmax.
Covariates-Adjusted Mixed-Membership Estimation: A Novel Network Model with Optimal Guarantees Thus, we have ∥(c)∥2 ≲∥F∗∥∥F∗∥2,∞ ‖‖‖Yt,(m)Rt,(m)−Y∗ ‖‖‖≲√µrc11σmax
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T14:49:05.207773Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation dfe6f307-ecb0-4fb9-a5eb-3c850cea6b29 · outbound
This paper cites an unresolved cited work.
Covariates-Adjusted Mixed-Membership Estimation: A Novel Network Model with Optimal Guarantees Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-08T14:49:05.192247Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 44bbd4ae-b92e-49d7-bb5a-a0e019054984 · outbound
This paper cites an unresolved cited work.
Covariates-Adjusted Mixed-Membership Estimation: A Novel Network Model with Optimal Guarantees Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-08T14:49:05.177459Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation e07ede34-37f1-48f2-b787-56b04acc1249 · outbound
This paper cites Therefore, as long asn≥ 16(r3 +rp)c2 2,∞, we have∥Qv∥2 2≥∥v∥2 2/2.
Covariates-Adjusted Mixed-Membership Estimation: A Novel Network Model with Optimal Guarantees Therefore, as long asn≥ 16(r3 +rp)c2 2,∞, we have∥Qv∥2 2≥∥v∥2 2/2
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T14:49:05.161972Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 171f6ea2-b709-49a4-83b5-4ed5016034a8 · outbound
This paper cites By Lemma G.1, we have max{∥(P ˆDP)†∥2,∥(PD∗P)†∥2} ≲ 1 c2 D∗ , ∥P ˆDP−P D∗P∥ ≲ ˆc√n.
Covariates-Adjusted Mixed-Membership Estimation: A Novel Network Model with Optimal Guarantees By Lemma G.1, we have max{∥(P ˆDP)†∥2,∥(PD∗P)†∥2} ≲ 1 c2 D∗ , ∥P ˆDP−P D∗P∥ ≲ ˆc√n
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T14:49:05.147295Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 825ad54a-7997-407c-ac45-e7bb6cbc22c2 · outbound
This paper cites DenoteVt = ˆV +t(V∗− ˆV ) and defineDt correspondingly.
Covariates-Adjusted Mixed-Membership Estimation: A Novel Network Model with Optimal Guarantees DenoteVt = ˆV +t(V∗− ˆV ) and defineDt correspondingly
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T14:49:05.131358Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 5c00bdf4-2434-4d98-b482-be7e6b9008f9 · outbound
This paper cites an unresolved cited work.
Covariates-Adjusted Mixed-Membership Estimation: A Novel Network Model with Optimal Guarantees Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-08T14:49:05.116900Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation d64124de-761e-4aaf-a27d-894068d9979d · outbound
This paper cites Combine the bounds for (1)-(4), we have ‖‖‖‖ [ˆXd− ¯X ˆYd− ¯Y ]‖‖‖‖ ∞ ≲ λˆc c2 D∗ √µrσmax n + c11ˆc cD∗ +c2,∞c11 √ r2 +p =c∞.
Covariates-Adjusted Mixed-Membership Estimation: A Novel Network Model with Optimal Guarantees Combine the bounds for (1)-(4), we have ‖‖‖‖ [ˆXd− ¯X ˆYd− ¯Y ]‖‖‖‖ ∞ ≲ λˆc c2 D∗ √µrσmax n + c11ˆc cD∗ +c2,∞c11 √ r2 +p =c∞
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T14:49:05.102257Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation d2c9b854-007a-4410-84e5-92758e796678 · outbound
This paper cites We denote [Ht Γt ] :=c(V∗) +t(c( ˆVd)−c(V∗)), Pt ij :=zT i Htzj + Γt ij n.
Covariates-Adjusted Mixed-Membership Estimation: A Novel Network Model with Optimal Guarantees We denote [Ht Γt ] :=c(V∗) +t(c( ˆVd)−c(V∗)), Pt ij :=zT i Htzj + Γt ij n
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T14:49:05.086981Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation f3e60995-3b8c-47b0-812d-b3efc4040fe5 · outbound
This paper cites Note that ∇Lc(c( ˆVd))T ( c( ¯V )−c( ˆVd) ) =∇Lc(c( ˆV ))⊤ ( c( ¯V )−c( ˆVd) ) + ( c( ¯V )−c( ˆVd) )⊤∫1 0 ∇2Lc ( c( ˆV ) +t(c( ˆVd)−c( ˆV )) ) dt ( c( ˆVd)−c( ˆV ) ).
Covariates-Adjusted Mixed-Membership Estimation: A Novel Network Model with Optimal Guarantees Note that ∇Lc(c( ˆVd))T ( c( ¯V )−c( ˆVd) ) =∇Lc(c( ˆV ))⊤ ( c( ¯V )−c( ˆVd) ) + ( c( ¯V )−c( ˆVd) )⊤∫1 0 ∇2Lc ( c( ˆV ) +t(c( ˆVd)−c( ˆV )) ) dt ( c( ˆVd)−c( ˆV ) )
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T14:49:05.072564Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation b9abda28-30e6-467c-b1a7-ba383479e4da · outbound
This paper cites an unresolved cited work.
Covariates-Adjusted Mixed-Membership Estimation: A Novel Network Model with Optimal Guarantees Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-08T14:49:05.057158Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 2e719a90-15a3-4cec-93ac-ca9275ec8a8d · outbound
This paper cites Thus, it remains to deal with1 nM∗⊙ (P−P∗).
Covariates-Adjusted Mixed-Membership Estimation: A Novel Network Model with Optimal Guarantees Thus, it remains to deal with1 nM∗⊙ (P−P∗)
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T14:49:05.040863Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 264d6e7d-ef66-428e-b596-2c6591cfe690 · outbound
This paper cites By Theorem D.3, we obtain ∥(1)∥ ≲ √ ccd n3/4 < ϵλ 10 (94) as long asn is large enough.
Covariates-Adjusted Mixed-Membership Estimation: A Novel Network Model with Optimal Guarantees By Theorem D.3, we obtain ∥(1)∥ ≲ √ ccd n3/4 < ϵλ 10 (94) as long asn is large enough
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T14:49:05.024579Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 8a80214a-b330-4489-ae0a-2ea2914d624c · outbound
This paper cites By Proposition D.2, we have ∥(2)∥ ≲c′ a (√ c n + √σmax n3/2 ) < ϵλ 10 (95) as long asϵλ>c ′ a (√ c n + √σmax n3/2 ).
Covariates-Adjusted Mixed-Membership Estimation: A Novel Network Model with Optimal Guarantees By Proposition D.2, we have ∥(2)∥ ≲c′ a (√ c n + √σmax n3/2 ) < ϵλ 10 (95) as long asϵλ>c ′ a (√ c n + √σmax n3/2 )
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T14:49:05.006642Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation fbfdc50c-936e-4767-801d-12c14b634780 · outbound
This paper cites an unresolved cited work.
Covariates-Adjusted Mixed-Membership Estimation: A Novel Network Model with Optimal Guarantees Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-08T14:49:04.991135Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 40f43c8b-16b3-4764-87e2-51f2862e9386 · outbound
This paper cites an unresolved cited work.
Covariates-Adjusted Mixed-Membership Estimation: A Novel Network Model with Optimal Guarantees Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-08T14:49:04.976460Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 8f80d0e2-4aa8-45a3-88ea-e09a3db86c35 · outbound
This paper cites an unresolved cited work.
Covariates-Adjusted Mixed-Membership Estimation: A Novel Network Model with Optimal Guarantees Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-08-08T14:49:04.960690Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Pith citing papers
Observation 0628e107-56aa-4ef2-a679-c0e360374c95 · inbound
Uncertainty Quantification for Ranking with Heterogeneous Preferences cites this paper.
Uncertainty Quantification for Ranking with Heterogeneous Preferences Covariates-Adjusted Mixed-Membership Estimation: A Novel Network Model with Optimal Guarantees
Reference 29
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T12:13:14.281562Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 65ac580a-0021-46c4-b36b-0edc97a7f441 · inbound
AI-Augmented Statistical Network Estimation with Proxy Gene Embeddings cites this paper.
AI-Augmented Statistical Network Estimation with Proxy Gene Embeddings Covariates-Adjusted Mixed-Membership Estimation: A Novel Network Model with Optimal Guarantees
Reference 16
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-07-09T00:55:49.270443Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.