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Paper Citation Record · LEDGER

Optimal step-size of least mean absolute fourth algorithm in low SNR

As of 16 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:1908.08165.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
1908.08165 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:56:28.957872Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

26 of 26 outbound references displayed

  • verified exact0
  • verified fuzzy24
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 44ae6e87-354d-43df-aea0-a9cc156e6abe · outbound

This paper cites an unresolved cited work.

Optimal step-size of least mean absolute fourth algorithm in low SNR Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:56:29.320795Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:56:28.852557Z digest=sha256:2bbbe05dd02e8b1c978c9d6749b1b8726396b787ec53895b5ba93f3256b7d3b0

Observation b9d45aee-a450-4b04-9922-503eae1a5b2b · outbound

This paper cites Normalised spline adaptive filtering algorithm for nonlinear system identification [J].

Optimal step-size of least mean absolute fourth algorithm in low SNR Normalised spline adaptive filtering algorithm for nonlinear system identification [J]

Reference 2

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verified fuzzy
raw_fallback, observed 2026-08-14T11:56:29.307875Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:56:28.857905Z digest=sha256:c87af940642c8ad57c9c1ad513543de2717e82eda603f8aa8407b8f324bd99b9

Observation 1c17d3a4-d591-4941-9de8-64342f8c9e43 · outbound

This paper cites Diffusion normalized Huber adaptive filtering algorithm [J].

Optimal step-size of least mean absolute fourth algorithm in low SNR Diffusion normalized Huber adaptive filtering algorithm [J]

Reference 3

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unresolved
no resolver link, observed 2026-08-14T11:56:28.862537Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:56:28.862537Z digest=sha256:336417d0e99ee3536b281f0851067259bd951e1ac19a47429285127dd0a45606

Observation 8cbba5fd-5373-4abd-828f-97f8c78830cf · outbound

This paper cites Functional organization of the human 4D Nucleome [J].

Optimal step-size of least mean absolute fourth algorithm in low SNR Functional organization of the human 4D Nucleome [J]

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:56:29.285898Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:56:28.867004Z digest=sha256:7806550258bc40885c007d8e6984ded8971a3c00d39537af01249623800ad4a2

Observation 5301d023-f4f7-4d2b-af11-39a51468323b · outbound

This paper cites Adaptive waveform learning: a framework for modeling variability in neurophysiologica l signals [J].

Optimal step-size of least mean absolute fourth algorithm in low SNR Adaptive waveform learning: a framework for modeling variability in neurophysiologica l signals [J]

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:56:29.272963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:56:28.871433Z digest=sha256:c04af70edb9acc443a3641593eba937013cd1e7a2b5d63fe00f64f6a1a59880d

Observation 9381a4b9-dac6-4832-bf79-a7d0e5621cfe · outbound

This paper cites The least mean fouth (LMF) adaptive algorithm and its family [J].

Optimal step-size of least mean absolute fourth algorithm in low SNR The least mean fouth (LMF) adaptive algorithm and its family [J]

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:56:29.260036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:56:28.876119Z digest=sha256:fba82ee77cc2fad5c3aa25502ee2fcc54bcf948db8fb6bea5f0ab52658c6dd52

Observation 0e61829b-761d-415b-b429-964bf8f542b9 · outbound

This paper cites Nonparametric variable step-size LMAT algorithm [J].

Optimal step-size of least mean absolute fourth algorithm in low SNR Nonparametric variable step-size LMAT algorithm [J]

Reference 7

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raw_fallback, observed 2026-08-14T11:56:29.247439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:56:28.880677Z digest=sha256:9cd1a9331508c0d1a1b88d786911b0075c274d0f483d0a6f350dc10f88d48ffa

Observation 3d5ec5a5-c5fc-41a0-a387-7cc48207e31b · outbound

This paper cites An optimized NLMS algorithm for system identification [J].

Optimal step-size of least mean absolute fourth algorithm in low SNR An optimized NLMS algorithm for system identification [J]

Reference 8

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raw_fallback, observed 2026-08-14T11:56:29.234309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:56:28.884838Z digest=sha256:5090727d386ac578b79ef65dfb170492e170a604bcec270a750c2c658f58b6a3

Observation fa975c8d-7978-49a5-9cbd-6380adeacdcc · outbound

This paper cites Optimal step size of least mean absolute third algorithm [J].

Optimal step-size of least mean absolute fourth algorithm in low SNR Optimal step size of least mean absolute third algorithm [J]

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:56:29.221329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:56:28.888929Z digest=sha256:a18b20616c04128d5a4c8c92e51cd6149c5fc32f73f47be56dc7da5040f8102f

Observation e8fe4720-bb2f-4a29-af07-7d05171d52de · outbound

This paper cites An improved statistical analysis of the least mean fourth (LMF) adaptive algorithm [J].

Optimal step-size of least mean absolute fourth algorithm in low SNR An improved statistical analysis of the least mean fourth (LMF) adaptive algorithm [J]

Reference 10

Resolution
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raw_fallback, observed 2026-08-14T11:56:29.208248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:56:28.893163Z digest=sha256:64f696ab39edd76adc6cc3a94b652878f042fb81e2f17e308ee1aaae46821579

Observation cfa96026-5fc5-4ba4-9bb0-95d046b3bd83 · outbound

This paper cites Probability of divergence for the least -mean fourth algorithm [J].

Optimal step-size of least mean absolute fourth algorithm in low SNR Probability of divergence for the least -mean fourth algorithm [J]

Reference 11

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:56:28.897315Z digest=sha256:48dd05d5bbbc741dffce689e2a28815d89c65938d82abe974fcf19a21b9aaa99

Observation 0bb6b46c-6200-44ec-b4c4-1af995fe7bc9 · outbound

This paper cites A mean-square stability analysis of the least mean fourth adaptive algorithm [J].

Optimal step-size of least mean absolute fourth algorithm in low SNR A mean-square stability analysis of the least mean fourth adaptive algorithm [J]

Reference 12

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:56:28.901345Z digest=sha256:d9427e5d72ceebd7d6b8d93786c54caaf86ec4e7c8e4fdaacdb02093d2353fa0

Observation b9b61cb9-0cb7-4ee7-a2c0-cd27de6604c1 · outbound

This paper cites Stochastic anal ysis of a stable normalized least mean fourth algorithm for adaptive noise canceling with a white Gaussian reference [J].

Optimal step-size of least mean absolute fourth algorithm in low SNR Stochastic anal ysis of a stable normalized least mean fourth algorithm for adaptive noise canceling with a white Gaussian reference [J]

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:56:29.169714Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:56:28.905564Z digest=sha256:051932e259dac2cd9f3c7ff5d130ac870465b983187bb02481451c5c419c958f

Observation 382936e0-292d-49f9-bbfb-f30ec538e33e · outbound

This paper cites Dependence of the stability of the least mean fourth algorithm on target weights non-stationarity [J].

Optimal step-size of least mean absolute fourth algorithm in low SNR Dependence of the stability of the least mean fourth algorithm on target weights non-stationarity [J]

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:56:29.156705Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:56:28.910010Z digest=sha256:199d18a28c77a6673ce428aeadeebc8646cab66bd8d88acb81bb049888699f7f

Observation 87d7d5c0-181d-46de-871c-0211554daecd · outbound

This paper cites Combination of recursive least p -norm algorithms for robust adaptive filtering in alpha-stable noise [J].

Optimal step-size of least mean absolute fourth algorithm in low SNR Combination of recursive least p -norm algorithms for robust adaptive filtering in alpha-stable noise [J]

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:56:29.144378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:56:28.914182Z digest=sha256:684e54d73267f2206908dbba03b0019d25d8ebd4bdd09713424f12b474c33c36

Observation 3d3028a7-0035-4dfd-bbe1-bacef0e85658 · outbound

This paper cites Robust adaptive filtering algorithms for α-stable random processes [J].

Optimal step-size of least mean absolute fourth algorithm in low SNR Robust adaptive filtering algorithms for α-stable random processes [J]

Reference 16

Resolution
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raw_fallback, observed 2026-08-14T11:56:29.131426Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:56:28.918262Z digest=sha256:1d9d066312580e6b80953ba7c411d00b0fa526fc58f5ce67020ea00d3eff41f2

Observation f9aa79b1-3b49-48a4-9449-198f0f19006b · outbound

This paper cites Convergence and steady -state analysis of the normalized least mean fourth algorithm [J].

Optimal step-size of least mean absolute fourth algorithm in low SNR Convergence and steady -state analysis of the normalized least mean fourth algorithm [J]

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:56:29.118124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:56:28.922244Z digest=sha256:47fcecf3358081fc7ae553812df9f88e578e3841f77e66282829fb021da329ae

Observation 2182ad7f-1069-44c1-afb2-00f4e422f943 · outbound

This paper cites Convergence and tracking analysis of a variable normalised LMF (XE-NLMF) algorithm [J].

Optimal step-size of least mean absolute fourth algorithm in low SNR Convergence and tracking analysis of a variable normalised LMF (XE-NLMF) algorithm [J]

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:56:29.104785Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:56:28.926213Z digest=sha256:ee8b288bfcad3c962170ec89c37ef36b66b548fa1d4fd4fe61c2f6a65ca0bfe2

Observation 0c8974eb-0673-4094-9a94-b113df111f63 · outbound

This paper cites Global stabilization of the least mean fourth algorithm [J].

Optimal step-size of least mean absolute fourth algorithm in low SNR Global stabilization of the least mean fourth algorithm [J]

Reference 19

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raw_fallback, observed 2026-08-14T11:56:29.091470Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:56:28.930217Z digest=sha256:6f923842a42106a6a71fe07f1bfb365f8ac43f7c4c783cbbe5b5912f791eeeb9

Observation d2d0520c-3dbf-490f-9006-c9ef9605c92c · outbound

This paper cites Variable step-size NLMS and affine projection algorithms [J].

Optimal step-size of least mean absolute fourth algorithm in low SNR Variable step-size NLMS and affine projection algorithms [J]

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:56:29.078249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:56:28.934057Z digest=sha256:091435ae9d708ffd34e19727399644b7014a5939501d82eeef3a0a59be31d8b1

Observation af4a0fd5-8cc5-40eb-a8d1-2c6393ee9174 · outbound

This paper cites A noise constrained least mean fourth (NCLMF) adaptive algorithm [J].

Optimal step-size of least mean absolute fourth algorithm in low SNR A noise constrained least mean fourth (NCLMF) adaptive algorithm [J]

Reference 21

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:56:28.938038Z digest=sha256:535890eaa44c4ceb006be7704685ded1b26d6fbb014731c3682ebbc75808e6b2

Observation f47287cb-af21-4aa6-84db-4d49c0b74bbe · outbound

This paper cites Bermudez.

Optimal step-size of least mean absolute fourth algorithm in low SNR Bermudez

Reference 22

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raw_fallback, observed 2026-08-14T11:56:29.048677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:56:28.942198Z digest=sha256:521855c5058b85ba3bc47ef563e03580471860c537a96ae257f294134367dd1c

Observation 8fe1f315-7f34-493a-b01e-ce53a8e96b89 · outbound

This paper cites Variable step -size LMS algorithm with a quotient form [J].

Optimal step-size of least mean absolute fourth algorithm in low SNR Variable step -size LMS algorithm with a quotient form [J]

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:56:29.035422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:56:28.946115Z digest=sha256:7556f818447dc9015665be5d017a87af77ca4476d3c0f2c681ea8098cbd8ddca

Observation a84953a7-4a6e-476b-8e94-9d4c2a4cbbc2 · outbound

This paper cites A robust and stable variable step-size design for the LMF using quotient form [J].

Optimal step-size of least mean absolute fourth algorithm in low SNR A robust and stable variable step-size design for the LMF using quotient form [J]

Reference 24

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verified fuzzy
raw_fallback, observed 2026-08-14T11:56:29.021324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:56:28.950045Z digest=sha256:02d1a157f990188f1d672429404985b92e674b50f194a8f9b2e714ebb0434e8e

Observation f50fb752-1d21-4c32-a5d5-4ebf8922fb4c · outbound

This paper cites A nonparametric VSSNLMS algorithm [J].

Optimal step-size of least mean absolute fourth algorithm in low SNR A nonparametric VSSNLMS algorithm [J]

Reference 25

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verified fuzzy
raw_fallback, observed 2026-08-14T11:56:29.007190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:56:28.953870Z digest=sha256:2fa682cfc55cada3ab50612ae94ede9235e9c6072ab42062eb820514b81a9ee6

Observation eb578c41-56a5-4160-a2ea-f0a39f512854 · outbound

This paper cites Mathematical handbook of formulas and tables [M].

Optimal step-size of least mean absolute fourth algorithm in low SNR Mathematical handbook of formulas and tables [M]

Reference 26

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raw_fallback, observed 2026-08-14T11:56:28.992777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T11:56:28.957872Z digest=sha256:5036c83019ed94aa066eaf17567f389f89c6710a369e9282cfea0cc21ec5ec83

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No inbound Pith citation observations are available.