Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T15:05:40.879958Z
Paper Citation Record · LEDGER
Proportional infinite-width infinite-depth limit for deep linear neural networks
As of 13 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 4 inbound Pith citation observations for arXiv:2411.15267.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-02T09:36:54.155047Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-01T12:45:44.976159Z
Reference resolution
36 of 36 outbound references displayed
- verified exact2
- verified fuzzy12
- unresolved22
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation dd0a00d8-e03e-48f0-914b-cc8aa24e47bb · outbound
This paper cites Local Kernel Renormalization as a mechanism for feature learning in overparametrized Convolutional Neural Networks.
Proportional infinite-width infinite-depth limit for deep linear neural networks Local Kernel Renormalization as a mechanism for feature learning in overparametrized Convolutional Neural Networks
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T15:05:40.710001Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 03361589-4e1e-481b-b54c-d088f265e4f9 · outbound
This paper cites an unresolved cited work.
Proportional infinite-width infinite-depth limit for deep linear neural networks Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T15:05:41.499481Z
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.
Observation b1d0c7ad-0156-421b-a500-1d11d4788ce2 · outbound
This paper cites Feature learning in finite-width Bayesian deep linear networks with multiple outputs and convolutional layers.
Proportional infinite-width infinite-depth limit for deep linear neural networks Feature learning in finite-width Bayesian deep linear networks with multiple outputs and convolutional layers
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T15:05:40.721116Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 40077ef5-764e-403d-bdad-265e5e88c5ae · outbound
This paper cites Infinitely wide limits for deep Stable neural networks: sub-linear, linear and super-linear activation functions.
Proportional infinite-width infinite-depth limit for deep linear neural networks Infinitely wide limits for deep Stable neural networks: sub-linear, linear and super-linear activation functions
Reference 4
- Resolution
- verified exact
- local_arxiv, observed 2026-08-12T15:05:41.010962Z
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.
Observation 517cccd1-d1a3-481c-94dd-0250d3ab9282 · outbound
This paper cites an unresolved cited work.
Proportional infinite-width infinite-depth limit for deep linear neural networks Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T15:05:41.482859Z
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.
Observation d33485cb-9400-4a60-bb05-4fd05351725d · outbound
This paper cites and Bach, F.
Proportional infinite-width infinite-depth limit for deep linear neural networks and Bach, F
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T15:05:41.467459Z
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.
Observation 162afd48-0188-485c-b171-378a63eea285 · outbound
This paper cites an unresolved cited work.
Proportional infinite-width infinite-depth limit for deep linear neural networks Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T15:05:41.451716Z
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.
Observation c354028d-2ea7-4338-9d61-38719a83fef1 · outbound
This paper cites an unresolved cited work.
Proportional infinite-width infinite-depth limit for deep linear neural networks Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T15:05:41.436472Z
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.
Observation cf8c1982-4a26-4f9a-b45d-4a220fa05183 · outbound
This paper cites Matthews, A.
Proportional infinite-width infinite-depth limit for deep linear neural networks Matthews, A
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T15:05:41.421567Z
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.
Observation 837dc0d9-3a41-4b9b-9475-a53e51c8fb65 · outbound
This paper cites an unresolved cited work.
Proportional infinite-width infinite-depth limit for deep linear neural networks Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T15:05:41.405088Z
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.
Observation 6a6ac3b4-187f-4de0-a2b5-03415bdf0963 · outbound
This paper cites Quantitative CLTs in Deep Neural Networks.
Proportional infinite-width infinite-depth limit for deep linear neural networks Quantitative CLTs in Deep Neural Networks
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T15:05:40.761888Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6e18a11d-beec-4e92-9d89-412e7ca92412 · outbound
This paper cites Large-width asymptotics for ReLU neural networks with $\alpha$-Stable initializations.
Proportional infinite-width infinite-depth limit for deep linear neural networks Large-width asymptotics for ReLU neural networks with $\alpha$-Stable initializations
Reference 12
- Resolution
- verified exact
- local_arxiv, observed 2026-08-12T15:05:40.970631Z
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.
Observation a4459453-7391-46fc-beb1-f45fccff1386 · outbound
This paper cites E., and Aitchison, L.
Proportional infinite-width infinite-depth limit for deep linear neural networks E., and Aitchison, L
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T15:05:41.388269Z
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.
Observation 7649d7fc-8ca1-4fd3-ac59-510238b7962a · outbound
This paper cites an unresolved cited work.
Proportional infinite-width infinite-depth limit for deep linear neural networks Unresolved cited work
Reference 14
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T15:05:40.776317Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6f834a14-9901-4045-95e5-d6445480568a · outbound
This paper cites an unresolved cited work.
Proportional infinite-width infinite-depth limit for deep linear neural networks Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T15:05:41.372265Z
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.
Observation a1b4532d-6fa1-4376-8759-73419fac5569 · outbound
This paper cites an unresolved cited work.
Proportional infinite-width infinite-depth limit for deep linear neural networks Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T15:05:41.355689Z
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.
Observation cf041b6a-b5a9-4fdb-a2af-4d5bf14451c7 · outbound
This paper cites and Zlokapa, A.
Proportional infinite-width infinite-depth limit for deep linear neural networks and Zlokapa, A
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T15:05:41.339201Z
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.
Observation 5722727b-4655-4c7d-974e-88363e870aed · outbound
This paper cites an unresolved cited work.
Proportional infinite-width infinite-depth limit for deep linear neural networks Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T15:05:41.322706Z
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.
Observation e12cacbe-358a-4b22-9170-f5dcfa29a3e1 · outbound
This paper cites an unresolved cited work.
Proportional infinite-width infinite-depth limit for deep linear neural networks Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T15:05:41.303841Z
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.
Observation 7110dce9-ce6c-4f94-b5bf-ef8a44fa47fe · outbound
This paper cites and Shreve, S.
Proportional infinite-width infinite-depth limit for deep linear neural networks and Shreve, S
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T15:05:41.286945Z
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.
Observation f5fcc66e-2127-4598-8d7e-9850f2940da7 · outbound
This paper cites an unresolved cited work.
Proportional infinite-width infinite-depth limit for deep linear neural networks Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T15:05:41.269655Z
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.
Observation 95739927-d124-4f15-a4d4-a67d0b5dab79 · outbound
This paper cites an unresolved cited work.
Proportional infinite-width infinite-depth limit for deep linear neural networks Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T15:05:41.253066Z
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.
Observation a2da3b25-81b5-4130-8e86-ae612da2f390 · outbound
This paper cites The large learning rate phase of deep learning: the catapult mechanism.
Proportional infinite-width infinite-depth limit for deep linear neural networks The large learning rate phase of deep learning: the catapult mechanism
Reference 23
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T15:05:40.818846Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6b2629e8-731c-4313-96c1-f5c7345288e0 · outbound
This paper cites and Sompolinsky, H.
Proportional infinite-width infinite-depth limit for deep linear neural networks and Sompolinsky, H
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T15:05:41.236737Z
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.
Observation df1db75f-1ff2-4d0a-97a3-8af6935111aa · outbound
This paper cites an unresolved cited work.
Proportional infinite-width infinite-depth limit for deep linear neural networks Unresolved cited work
Reference 25
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T15:05:40.828479Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b817fe34-2d72-46a1-9859-38644204ca0c · outbound
This paper cites an unresolved cited work.
Proportional infinite-width infinite-depth limit for deep linear neural networks Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T15:05:41.209661Z
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.
Observation 2c781661-7781-4fef-942b-851ff1fe9715 · outbound
This paper cites A., Pennington, J., and Sohl-dickstein, J.
Proportional infinite-width infinite-depth limit for deep linear neural networks A., Pennington, J., and Sohl-dickstein, J
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T15:05:41.194162Z
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.
Observation db1e2108-07c0-4cc7-aeb7-922b8791167b · outbound
This paper cites an unresolved cited work.
Proportional infinite-width infinite-depth limit for deep linear neural networks Unresolved cited work
Reference 28
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T15:05:41.177334Z
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.
Observation 82b897fa-95bd-4e53-9583-ddf47c98022a · outbound
This paper cites and Vanden-Eijnden, E.
Proportional infinite-width infinite-depth limit for deep linear neural networks and Vanden-Eijnden, E
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T15:05:41.160353Z
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.
Observation f19449a7-70bd-4a56-88be-57509c2ec259 · outbound
This paper cites M., McClelland, J.
Proportional infinite-width infinite-depth limit for deep linear neural networks M., McClelland, J
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T15:05:41.144263Z
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.
Observation 8ce159fd-3554-489b-8a50-217f9ebda150 · outbound
This paper cites M., McClelland, J.
Proportional infinite-width infinite-depth limit for deep linear neural networks M., McClelland, J
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T15:05:41.126979Z
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.
Observation 322dabf1-f578-4a3b-ad76-847746722c2d · outbound
This paper cites and Spiliopoulos, K.
Proportional infinite-width infinite-depth limit for deep linear neural networks and Spiliopoulos, K
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T15:05:41.111201Z
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.
Observation 6263c103-2046-477c-a23a-fac1c310b486 · outbound
This paper cites Wide Deep Neural Networks with Gaussian Weights are Very Close to Gaussian Processes.
Proportional infinite-width infinite-depth limit for deep linear neural networks Wide Deep Neural Networks with Gaussian Weights are Very Close to Gaussian Processes
Reference 33
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T15:05:40.865469Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fc80af75-8971-41c3-873d-2dbaad7bf5be · outbound
This paper cites an unresolved cited work.
Proportional infinite-width infinite-depth limit for deep linear neural networks Unresolved cited work
Reference 34
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T15:05:41.094647Z
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.
Observation 86d3e2db-f3ae-434f-991c-4ed664e809fc · outbound
This paper cites and Hu, E.
Proportional infinite-width infinite-depth limit for deep linear neural networks and Hu, E
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T15:05:41.078254Z
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.
Observation e9d0532d-2a36-4587-b11f-9595a01e6380 · outbound
This paper cites an unresolved cited work.
Proportional infinite-width infinite-depth limit for deep linear neural networks Unresolved cited work
Reference 36
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T15:05:41.061861Z
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.
Pith citing papers
Observation a96e1a70-a7fa-46f0-86d6-50d78a46b783 · inbound
Large deviation principles for convolutional Bayesian neural networks cites this paper.
Large deviation principles for convolutional Bayesian neural networks Proportional infinite-width infinite-depth limit for deep linear neural networks
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-07-15T14:03:39.869199Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4fed401a-734c-434e-8f67-1414c29a93ec · inbound
Bayesian Inference with Shaped Deep Non-linear MLPs cites this paper.
Bayesian Inference with Shaped Deep Non-linear MLPs Proportional infinite-width infinite-depth limit for deep linear neural networks
Reference 3
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-06-28T20:42:37.105524Z
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.
Observation f64594c9-097b-4b2c-9f58-640d6d4ed791 · inbound
Geometric Dyson Brownian Motions and the Free Log-Normal Limit for a Non-Square Gaussian Matrix Product cites this paper.
Geometric Dyson Brownian Motions and the Free Log-Normal Limit for a Non-Square Gaussian Matrix Product Proportional infinite-width infinite-depth limit for deep linear neural networks
Reference 60
- Resolution
- verified exact
- arxiv_id, observed 2026-07-01T12:45:44.977904Z
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.
Observation 7659bc2c-b226-408c-b51d-04903f765440 · inbound
Geometric Dyson Brownian Motions and the Free Log-Normal Limit for a Non-Square Gaussian Matrix Product cites this paper.
Geometric Dyson Brownian Motions and the Free Log-Normal Limit for a Non-Square Gaussian Matrix Product Proportional infinite-width infinite-depth limit for deep linear neural networks
Reference 60
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T09:36:54.155047Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.