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Paper Citation Record · LEDGER

Towards an Optimal Control Perspective of ResNet Training

As of 19 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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T22:33:19.254959Z digest=sha256:b8f2c771c093061957a2496befc9b6fec82935596c720368fb30a24ccc083353

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T22:33:19.296860Z digest=sha256:80f477148a61bf43dae75e044adae02e6b522fafd248195992b8627867da0a14

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=sha256:5b01677852903a7158dee72ae63f94d2d2d7ec8ae2e927d62d7d0c0c47a87b3c

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T22:33:19.472136Z digest=sha256:e4efcbf5e086333a9fb371842c04a3240341aa85fb1f23eb741e004afa5f6432

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T22:33:19.561841Z digest=sha256:d6f140e399e84f1a7ecb63ee9bffe4071f7f836b16d1806a2c3f3a2f786efb08

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

Resolution
unresolved
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:b819fe8051c74f2e636604b9483e5870aeb0dc158d400b2d5eba5fd946c00adb

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T22:33:19.707944Z digest=sha256:54edd7006c2e0865c0f48909cfd0e21b47a43514672e1732bb9bead13c3332d2

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:de101b1544e3a7d3e3a47e01f70626d4aea1670044fc8ad9a3440b508f4b8ddd

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

Resolution
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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T22:33:19.833916Z digest=sha256:163c9ed2b55aaa873dd9a88223736d2981cd0e3c4017f8fe07d16a178a812a0d

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T22:33:19.910357Z digest=sha256:b23db2daf85dc049df2460407e5e836395390369eb87bc344a3abc3e94c306d2

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
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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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T22:33:19.992974Z digest=sha256:fd3e71d006a2792b477e90df4d0f4fdbfaf0efd45994b2bb7e7a10b1fd313e81

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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verified exact
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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T22:33:20.092807Z digest=sha256:74c3e7259019fcec7acf0d55134fbf4c55d439d2ec4370ab0456e1c6d3a83bea

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T22:33:20.171576Z digest=sha256:46b7541e65807f8589630b9ea21cd6f7f354cd9d1415e2dc5676c62635c00155

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T22:33:20.255593Z digest=sha256:e25ed22ccf9a07cc7a39a70cc5aec09348814c72d64a0bb2c578253165a1710d

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T22:33:20.307766Z digest=sha256:43f8cf6810bc1f7f206a8265b7ec5b0ffe30c910b9f7a5ee95e565f8b8e4422e

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:f74a895a6192659ae1548ac75f2c8d375307484284e54d958aaf60d22afe41e4