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Paper Citation Record · LEDGER

Towards an Optimal Control Perspective of ResNet Training

As of 7 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 1 inbound Pith citation observation for arXiv:2506.21453.

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

pith.paper-citation-record.v1
2506.21453 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T22:33:20.307766Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T08:36:19.409783Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

15 of 15 outbound references displayed

  • verified exact1
  • verified fuzzy11
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e5442953-7ec8-4513-98b8-5385ccbd9414 · outbound

This paper cites Reversible architectures for arbitrarily deep residual neural networks.

Towards an Optimal Control Perspective of ResNet Training Reversible architectures for arbitrarily deep residual neural networks

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:33:21.945149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T22:33:19.254959Z digest=sha256:69aec3c3447774ab02da3f2853ff9636c3c7b23f83bc52fb44a648bca6bae0d2

Observation 6ff093f2-9e48-40b8-ab91-8c8f4c4c8972 · outbound

This paper cites Sparsity in long-time control of neural odes.

Towards an Optimal Control Perspective of ResNet Training Sparsity in long-time control of neural odes

Reference 2

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verified fuzzy
raw_fallback, observed 2026-08-06T22:33:21.842127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 19452589-826e-48a9-879b-6fa89cf72481 · outbound

This paper cites Large-time asymptotics in deep learning.

Towards an Optimal Control Perspective of ResNet Training Large-time asymptotics in deep learning

Reference 3

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no resolver link, observed 2026-08-06T22:33:19.403423Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:33:19.403423Z digest=sha256:860ce2a5dcba49c2cfd1e7eee0b0377a7b77a3ff3f7525b904feddd0c883cddf

Observation 1a4f22d7-fa8f-44c1-b134-bd7e920e387d · outbound

This paper cites On the turnpike to design of deep neural networks: Explicit depth bounds.

Towards an Optimal Control Perspective of ResNet Training On the turnpike to design of deep neural networks: Explicit depth bounds

Reference 4

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verified fuzzy
raw_fallback, observed 2026-08-06T22:33:21.751584Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T22:33:19.472136Z digest=sha256:8a79a935d63631278dced159ed8224b80d79d5d385628c445ef36da28bf837d2

Observation 96fdca18-8361-4272-85c8-ee8a9996fd49 · outbound

This paper cites Identity mappings in deep residual networks.

Towards an Optimal Control Perspective of ResNet Training Identity mappings in deep residual networks

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:33:21.637707Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T22:33:19.561841Z digest=sha256:cd6ad4816b45f62ad0559fa08ae8b37935f0b1c12f9df070b1c551649faf8e7f

Observation 8c4feaf6-7a01-4188-a64e-c261f0aa5b97 · outbound

This paper cites Deep residual learning for image recognition.

Towards an Optimal Control Perspective of ResNet Training Deep residual learning for image recognition

Reference 6

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no resolver link, observed 2026-08-06T22:33:19.634440Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:33:19.634440Z digest=sha256:434c170465b6410be0f88211dc2e63031858af0f51f71a2e1cf425d1e01fc484

Observation cc70cedb-af93-4b38-a639-b57500a7fae8 · outbound

This paper cites Learning multiple layers of features from tiny images.

Towards an Optimal Control Perspective of ResNet Training Learning multiple layers of features from tiny images

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:33:21.545409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T22:33:19.707944Z digest=sha256:84aa1410ad6e71fb2fa8e4b99db0ae0548fe0c3326a8bfb6b1648d291e0d24a5

Observation c5c823f0-31fe-4c3c-8dd7-b5f6957ff510 · outbound

This paper cites Lecun, L.

Towards an Optimal Control Perspective of ResNet Training Lecun, L

Reference 8

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unresolved
no resolver link, observed 2026-08-06T22:33:19.771337Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:33:19.771337Z digest=sha256:b145590eb0aa9e97e5901747c5be4de9202a0438c3a992c677bbca06f0883dec

Observation fd5a6d0a-5122-44a7-9422-7fea4042bba4 · outbound

This paper cites Deeply- Supervised Nets.

Towards an Optimal Control Perspective of ResNet Training Deeply- Supervised Nets

Reference 9

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verified fuzzy
raw_fallback, observed 2026-08-06T22:33:21.388829Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T22:33:19.833916Z digest=sha256:c8db6e5a8b707a9ab9297c56c0920949741b7545ded3b1e3325372d51b19d32d

Observation 63fd83aa-528b-415d-83a3-b851ad90cfc1 · outbound

This paper cites Split computing and early exiting for deep learning applications: Survey and research challenges.

Towards an Optimal Control Perspective of ResNet Training Split computing and early exiting for deep learning applications: Survey and research challenges

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:33:21.219259Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T22:33:19.910357Z digest=sha256:d012060b3d73eb893025fa09220cbcf41034ee1d1947bd1483167c98e33736b2

Observation 8e5639ee-8249-4717-895e-86dfd1cd8f0a · outbound

This paper cites How deep do we need: Accelerating training and inference of neural ODEs via control perspective.

Towards an Optimal Control Perspective of ResNet Training How deep do we need: Accelerating training and inference of neural ODEs via control perspective

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:33:20.998207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T22:33:19.992974Z digest=sha256:a989a7664f4ed53e6429986af6f71bd2f71a13e4157f6b285483533302ff6535

Observation a3dc5027-1d47-46d3-be8e-3c38fad08822 · outbound

This paper cites On Dissipativity of Cross-Entropy Loss in Training ResNets.

Towards an Optimal Control Perspective of ResNet Training On Dissipativity of Cross-Entropy Loss in Training ResNets

Reference 12

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local_arxiv, observed 2026-08-06T22:33:20.478171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T22:33:20.092807Z digest=sha256:950f7093e6ac57264ea40c1c98aebb4ce9426cbfcf855a02e599cff8b77aa601

Observation 0c122b96-2697-4eaa-895d-d96d8298934b · outbound

This paper cites Pacheco, and Rodrigo S.

Towards an Optimal Control Perspective of ResNet Training Pacheco, and Rodrigo S

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:33:20.859435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T22:33:20.171576Z digest=sha256:58604464f97695000054cdb59a66446eccfb304243bd598ad815659225028258

Observation 57bdc388-05b8-430a-a840-270b0749d97a · outbound

This paper cites Hence, the ResNet-54 in this paper corresponds to the ResNet-110 in [ 5].

Towards an Optimal Control Perspective of ResNet Training Hence, the ResNet-54 in this paper corresponds to the ResNet-110 in [ 5]

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:33:20.716693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T22:33:20.255593Z digest=sha256:6515f1682db8c4aefc6a99ba75b07679c922f70483295ea7c0c01bfb3e87538f

Observation 4f71c0cb-9c45-42de-b91d-4e2eed827b6a · outbound

This paper cites 10 TOWARDS AN OPTIMAL CONTROL PERSPECTIVE OF RESNET TRAINING for all k = 0, ..., N.

Towards an Optimal Control Perspective of ResNet Training 10 TOWARDS AN OPTIMAL CONTROL PERSPECTIVE OF RESNET TRAINING for all k = 0, ..., N

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:33:20.596668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T22:33:20.307766Z digest=sha256:9f5f8829ea56a6ab0240a81344ca7328940e825f1eb55c5762f2533188eee81d

Pith citing papers

Observation 55b42a6d-fe01-49fe-b130-acd556abadb7 · inbound

Exact ensemble controllability for neural differential equations via neural interpolation cites this paper.

Exact ensemble controllability for neural differential equations via neural interpolation Towards an Optimal Control Perspective of ResNet Training

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-01T08:36:19.409783Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T08:36:19.409783Z digest=sha256:7d1669b210061448cd8f67dedeb07c8859dbbb167184773c9734db2647ce1257