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Paper Citation Record · LEDGER

A Neural Network Training Method Based on Distributed PID Control

As of 13 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 1 inbound Pith citation observation for arXiv:2411.14468.

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

pith.paper-citation-record.v1
2411.14468 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T18:06:33.011541Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T14:30:33.212713Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-10T18:16:17.926450Z

Reference resolution

13 of 13 outbound references displayed

  • verified exact0
  • verified fuzzy6
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e42db39f-d363-4e03-be1a-c95053fe4401 · outbound

This paper cites an unresolved cited work.

A Neural Network Training Method Based on Distributed PID Control Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-12T18:06:33.115500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T18:06:32.977653Z digest=sha256:db72ae79b7f5944d9c0f554468c3c6fdc4ed1b019069de129ca357ad67e97585

Observation 635e64f9-65e7-4ef2-90c9-1414d1782ba6 · outbound

This paper cites For more details, please refer to our previous article[1].

A Neural Network Training Method Based on Distributed PID Control For more details, please refer to our previous article[1]

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:06:33.108561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T18:06:32.981338Z digest=sha256:523891c6ee815de97c2f53807df7fd214eb68271329cd000ab9c98dd7f51383e

Observation d539a168-cbe9-4410-9909-7af538fb3c01 · outbound

This paper cites 3.1 Training theory In neural network training, the traditional backpropagation algorithm has been highly successful.

A Neural Network Training Method Based on Distributed PID Control 3.1 Training theory In neural network training, the traditional backpropagation algorithm has been highly successful

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:06:33.101499Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T18:06:32.984312Z digest=sha256:0927e6425c40ffc5d34c6b882df354287a8f0d0e132271230911fbaa22f05269

Observation 46b9ffb6-5a70-4d57-a1fe-dfeca6bb5195 · outbound

This paper cites an unresolved cited work.

A Neural Network Training Method Based on Distributed PID Control Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-12T18:06:33.094469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T18:06:32.987264Z digest=sha256:c56c6221481f5ab5a861fd69ca96daf25a3423492d87472f88b0269039197be1

Observation b34db8c3-5ce9-4a20-ad02-bb1bf3f7a3e3 · outbound

This paper cites From a mathematical perspective, we propose the use of differential equations in place of chain derivation to address the one -to-one correspondence between parameters and outcomes.

A Neural Network Training Method Based on Distributed PID Control From a mathematical perspective, we propose the use of differential equations in place of chain derivation to address the one -to-one correspondence between parameters and outcomes

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:06:33.087444Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T18:06:32.990233Z digest=sha256:1a674197c3d5a16e25a05af26291c19d231a1dcb97674eeeb6449beeb4a2a8e4

Observation f1a413c8-010b-4c09-a784-67a39eaded7f · outbound

This paper cites Survey of Security and Data Attacks on Machine Unlearning In Financial and E-Commerce.

A Neural Network Training Method Based on Distributed PID Control Survey of Security and Data Attacks on Machine Unlearning In Financial and E-Commerce

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-12T18:06:32.992864Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T18:06:32.992864Z digest=sha256:32682fa8ebbaa2379a95c54f9786874adcd91e5dd2a5db0841bd9d889b408a4b

Observation a3e241f3-d6f8-4244-946a-6de226f13252 · outbound

This paper cites The Forward-Forward Algorithm: Some Preliminary Investigations.

A Neural Network Training Method Based on Distributed PID Control The Forward-Forward Algorithm: Some Preliminary Investigations

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-12T18:06:32.995976Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T18:06:32.995976Z digest=sha256:edbd5d483b2da7c688aecc2ffb3bd8ba007e0b1ecc1a8d91462d8f35fbf7afe6

Observation 32b1949b-a836-46af-bcd2-d6dd15c058ad · outbound

This paper cites Chong, and Y.

A Neural Network Training Method Based on Distributed PID Control Chong, and Y

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:06:33.079280Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T18:06:32.998691Z digest=sha256:b327bc2f37800a43a56f985515112728adc6affb946282567b62c1f1542ac379

Observation 819a44be-585a-4b43-9d84-29a13ef84e8c · outbound

This paper cites Proceedings of the national academy of sciences, 1982.

A Neural Network Training Method Based on Distributed PID Control Proceedings of the national academy of sciences, 1982

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:06:33.072048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T18:06:33.001259Z digest=sha256:4b8658c649257604436229919fee405d7e21e36b5d780aea6aef0b7669304fda

Observation 988e38d0-2247-4950-ab3d-8400f2eff8d3 · outbound

This paper cites an unresolved cited work.

A Neural Network Training Method Based on Distributed PID Control Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-12T18:06:33.064443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 877be8d9-7f1b-4658-a7b1-ae187d9f80b0 · outbound

This paper cites Takabe, and M.

A Neural Network Training Method Based on Distributed PID Control Takabe, and M

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:06:33.057561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T18:06:33.006434Z digest=sha256:40627ea270a42b1a9b1d1f8555ee9d2f31f215769099e7a525f02b5e6df6fab6

Observation fe75de99-5161-4ab5-a965-1181915b93c2 · outbound

This paper cites an unresolved cited work.

A Neural Network Training Method Based on Distributed PID Control Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-12T18:06:33.050690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T18:06:33.009033Z digest=sha256:225a297237bde8a4369a32b4799e6b5cc465fb6215fa4260d7aeba4291b823c6

Observation d6112ca2-ba23-4973-9c49-f94564931325 · outbound

This paper cites an unresolved cited work.

A Neural Network Training Method Based on Distributed PID Control Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-12T18:06:33.043367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T18:06:33.011541Z digest=sha256:0e70bf518c0b666c06452d4f477e9e3eb4e51d0aca42ffccacf84572dae0f729

Pith citing papers

Observation 8eefb5e8-ab39-4c59-85ef-7579e68fc830 · inbound

A Neural Network Training Method Based on Neuron Connection Coefficient Adjustments cites this paper.

A Neural Network Training Method Based on Neuron Connection Coefficient Adjustments A Neural Network Training Method Based on Distributed PID Control

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-08-10T14:30:33.261346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T14:30:33.212713Z digest=sha256:1822a60fac59b4391d172198853106ea28d3a36db1caafac4ad1515fcfb915f4