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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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:06:32.977653Z digest=sha256:e945cbcd6611fd1f5c9d631398b000c8b6e061dfbe74a28e27a2d851af8e8308

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:06:32.981338Z digest=sha256:5bf129afff289928c8db90a90c40529f586a19026af526e466d8f5ad39ee3409

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:06:32.984312Z digest=sha256:d0f25f356722b4fc867e50a61bc808e8919b99a59c746baefd8bc2035e61e15f

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:06:32.987264Z digest=sha256:db83825b49d30fbbe4c848f75c34e215baf02b83c42949db731bc430d69488ec

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:06:32.990233Z digest=sha256:d9ec87c1805b88766f3fbccd4f746d2cf1a8c4425efd0a21024274159ab36775

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:cf6db2346545699f09e0dd18c8fe1f9c0d4117283bf6c9022128bbab643e4077

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:e9358df9c9dc39397cd2a999406c62ed0374a0b7c8d12bef8e8571e1bcb8388f

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:06:32.998691Z digest=sha256:c4e5bc3a26da6214447b75e7e358c7bd76375e831bb16a8d310a9ba2ac5a943f

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:06:33.001259Z digest=sha256:09b6c2f37ca494aae352c5e79202d13959ed48e40608f61d3c3717f8e473962a

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:06:33.003941Z digest=sha256:2784473f9209625fc9665a542a665721ceab6b8f94abd25e99dda6ae5c77e8a1

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:06:33.006434Z digest=sha256:77a3c314f7698175e0cf61e441fc30183acf9b26cd88fcba1c7d6fc16ae9d2d3

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:06:33.009033Z digest=sha256:3288ada31c2d100fb912c79caf8ff6c317a41dc627370fa4988f29a46c0d259d

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:06:33.011541Z digest=sha256:7c8835155b66bf0b3754494aed1aaf3a14ba236d6a22ce3fa28c0bd8e4020f23

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T14:30:33.212713Z digest=sha256:1f73a4695a0c11bec556a7487dd3d68293745d63da2de0346647210d41fb3883