Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T14:20:20.149615Z
Paper Citation Record · LEDGER
Unexpected Effects of Online no-Substitution k-means Clustering
As of 16 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:1908.06818.
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 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
20 of 20 outbound references displayed
- verified exact0
- verified fuzzy11
- unresolved9
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 08be0f34-b32b-4a7b-9af5-ab97237aa871 · outbound
This paper cites an unresolved cited work.
Unexpected Effects of Online no-Substitution k-means Clustering Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:20:20.369066Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c0820617-f340-4b14-b984-54c005bbee1c · outbound
This paper cites This is proved in Claims 14 and 15.
Unexpected Effects of Online no-Substitution k-means Clustering This is proved in Claims 14 and 15
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:20:20.359649Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e34771be-fdd8-46e1-8a6a-bd0fc70df4b5 · outbound
This paper cites We cannot use this definition in our framework.
Unexpected Effects of Online no-Substitution k-means Clustering We cannot use this definition in our framework
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:20:20.285750Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 308b2528-04a5-49cf-893a-8c881c04eacc · outbound
This paper cites an unresolved cited work.
Unexpected Effects of Online no-Substitution k-means Clustering Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:20:20.349949Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 7b1d4abc-41f3-4998-9e74-9517bd83a212 · outbound
This paper cites an unresolved cited work.
Unexpected Effects of Online no-Substitution k-means Clustering Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:20:20.339545Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 41f9c72e-e060-48d0-a8bd-a97cf2f4e97c · outbound
This paper cites an unresolved cited work.
Unexpected Effects of Online no-Substitution k-means Clustering Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:20:20.328894Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 35ce95bb-1f99-4538-b906-896ae6ffdb5d · outbound
This paper cites an unresolved cited work.
Unexpected Effects of Online no-Substitution k-means Clustering Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:20:20.318046Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 2da2448b-e3fb-42d1-a6b9-6e54a3392be7 · outbound
This paper cites Claim 12 F or any c > 1 there is an algorithm that obtains O(c)-approximation with O(logc n) centers, no matter what the order is and even if n is unknown.
Unexpected Effects of Online no-Substitution k-means Clustering Claim 12 F or any c > 1 there is an algorithm that obtains O(c)-approximation with O(logc n) centers, no matter what the order is and even if n is unknown
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:20:20.389806Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 468c4f74-bb62-4fd7-bbb6-acb87145d956 · outbound
This paper cites In Indyk (1999), large means O(√n), as they cannot take more points for the algorithm to be with sublinear time.
Unexpected Effects of Online no-Substitution k-means Clustering In Indyk (1999), large means O(√n), as they cannot take more points for the algorithm to be with sublinear time
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:20:20.307945Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 14aec203-6df0-40f7-8719-0961748af3ce · outbound
This paper cites Once more data is arrived, it increases the value of n to c, and then to c2 and so on.
Unexpected Effects of Online no-Substitution k-means Clustering Once more data is arrived, it increases the value of n to c, and then to c2 and so on
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:20:20.378887Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6b69db39-8ae7-4a2b-af37-923a8ced2502 · outbound
This paper cites In our framework this is not allowed since once a center was ob served the algorithm cannot retake it.
Unexpected Effects of Online no-Substitution k-means Clustering In our framework this is not allowed since once a center was ob served the algorithm cannot retake it
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:20:20.297446Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 4529d2fc-d637-41a9-8706-f3056a32184a · outbound
This paper cites an unresolved cited work.
Unexpected Effects of Online no-Substitution k-means Clustering Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:20:20.274876Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 77733072-462c-4dca-9730-795d03bf5a11 · outbound
This paper cites Once we prove the two steps we are done.
Unexpected Effects of Online no-Substitution k-means Clustering Once we prove the two steps we are done
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:20:20.264340Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e2a3291f-659c-4d69-ae6e-9f387aab86b6 · outbound
This paper cites an unresolved cited work.
Unexpected Effects of Online no-Substitution k-means Clustering Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:20:20.253181Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ea3f71e5-3f49-4a8c-b526-30d3ce02eb4c · outbound
This paper cites The two claims follow from similar arguments as the proof of C laim 18.
Unexpected Effects of Online no-Substitution k-means Clustering The two claims follow from similar arguments as the proof of C laim 18
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:20:20.240658Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 51d43eae-d425-4769-b9bd-a74217986849 · outbound
This paper cites We know that |B| ≤ 0.01|C ∗ 2 | ≤ 0.02|Good2|.
Unexpected Effects of Online no-Substitution k-means Clustering We know that |B| ≤ 0.01|C ∗ 2 | ≤ 0.02|Good2|
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:20:20.228725Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 9cab2af4-c50e-4e79-97e7-96c7c2ac03e4 · outbound
This paper cites an unresolved cited work.
Unexpected Effects of Online no-Substitution k-means Clustering Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:20:20.217709Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 4602ab4b-38ff-488c-89e9-21c3768ee59d · outbound
This paper cites an unresolved cited work.
Unexpected Effects of Online no-Substitution k-means Clustering Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:20:20.206226Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 5dc80bc1-23e5-4ee5-a1f6-56e0324b33fa · outbound
This paper cites We prove the claim under the general cost function, see Section 5.
Unexpected Effects of Online no-Substitution k-means Clustering We prove the claim under the general cost function, see Section 5
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:20:20.195202Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 19e4a04d-5157-4227-a25b-ee20dc185ac1 · outbound
This paper cites In Section B.2 we connect the optimal clustering and a clustering based on a random sample.
Unexpected Effects of Online no-Substitution k-means Clustering In Section B.2 we connect the optimal clustering and a clustering based on a random sample
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:20:20.183457Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Pith citing papers
No inbound Pith citation observations are available.