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Paper Citation Record · LEDGER

Statistical Physics of Deep Neural Networks: Generalization Capability, Beyond the Infinite Width, and Feature Learning

As of 19 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 1 inbound Pith citation observation for arXiv:2501.19281.

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

pith.paper-citation-record.v1
2501.19281 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T20:47:40.701033Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-30T07:12:21.293282Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

12 of 12 outbound references displayed

  • verified exact1
  • verified fuzzy0
  • unresolved10
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

1
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation cd002fed-ef04-43b1-8940-c9946c662d6c · outbound

This paper cites Fast and Accurate Deep Network Learning by Exponential Linear Units (ELUs).

Statistical Physics of Deep Neural Networks: Generalization Capability, Beyond the Infinite Width, and Feature Learning Fast and Accurate Deep Network Learning by Exponential Linear Units (ELUs)

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-09T20:47:40.675318Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T20:47:40.675318Z digest=sha256:5e4c45ba2f4096656ddeb5a2663c96afdd935b84c9b00dc786ff351c3fc021bd

Observation aff180b7-9778-4c6f-8d34-cc4fcea01b31 · outbound

This paper cites Feature Learning in Deep Neural Networks - Studies on Speech Recognition Tasks.

Statistical Physics of Deep Neural Networks: Generalization Capability, Beyond the Infinite Width, and Feature Learning Feature Learning in Deep Neural Networks - Studies on Speech Recognition Tasks

Reference 296

Resolution
unresolved
no resolver link, observed 2026-08-09T20:47:40.701033Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T20:47:40.701033Z digest=sha256:41b35096c4875a0ab7e260dd454d61eaa124a902ebf36e958d286f299cd5ae13

Observation 2a7b4802-887e-468f-94a9-3ab6b72fc139 · outbound

This paper cites Unsupervised Representation Learning with Deep Convolutional Generative Adversarial Networks.

Statistical Physics of Deep Neural Networks: Generalization Capability, Beyond the Infinite Width, and Feature Learning Unsupervised Representation Learning with Deep Convolutional Generative Adversarial Networks

Reference 362

Resolution
unresolved
no resolver link, observed 2026-08-09T20:47:40.693178Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T20:47:40.693178Z digest=sha256:bd8695b3908828e54d16efe44369537139db38b9128205df473e790726f275f4

Observation 4abda10f-d860-4fa4-9284-8598d75eb289 · outbound

This paper cites [AGS87] Daniel J Amit, Hanoch Gutfreund, and Haim Sompolinsky.

Statistical Physics of Deep Neural Networks: Generalization Capability, Beyond the Infinite Width, and Feature Learning [AGS87] Daniel J Amit, Hanoch Gutfreund, and Haim Sompolinsky

Reference 1530

Resolution
unresolved
no resolver link, observed 2026-08-09T20:47:40.653239Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T20:47:40.653239Z digest=sha256:7aaa919f996901b4c4eee7b57e889a7aeb6d2389a4c7a290fd123b333ed0dba6

Observation cbd9e003-c228-459a-bb3f-8bfca07e0bdb · outbound

This paper cites url: https ://www.sciencedirect.com/science/article/pii/0047259X83900192.

Statistical Physics of Deep Neural Networks: Generalization Capability, Beyond the Infinite Width, and Feature Learning url: https ://www.sciencedirect.com/science/article/pii/0047259X83900192

Reference 1983

Resolution
unresolved
no resolver link, observed 2026-08-09T20:47:40.662035Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T20:47:40.662035Z digest=sha256:3c9b9077a154f5ce0ced7c1a2c2d1d872806281d90cf41b8b4268f067de9ba98

Observation da09dd8c-4a29-408f-8703-d75fd28ca14e · outbound

This paper cites Explaining and Harnessing Adversarial Examples.

Statistical Physics of Deep Neural Networks: Generalization Capability, Beyond the Infinite Width, and Feature Learning Explaining and Harnessing Adversarial Examples

Reference 1999

Resolution
unresolved
no resolver link, observed 2026-08-09T20:47:40.679879Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T20:47:40.679879Z digest=sha256:f5b2aa395cf55e6312d9eb8a08e5aa8f897acbbd55158ab9cff9ff9f97869c59

Observation 07d56dc9-4523-4211-a7c7-128a1a78d209 · outbound

This paper cites Very Deep Convolutional Networks for Large-Scale Image Recognition.

Statistical Physics of Deep Neural Networks: Generalization Capability, Beyond the Infinite Width, and Feature Learning Very Deep Convolutional Networks for Large-Scale Image Recognition

Reference 2014

Resolution
unresolved
no resolver link, observed 2026-08-09T20:47:40.697130Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T20:47:40.697130Z digest=sha256:ad224d7a6e42f3cc96a92f17bdc96b0b406cf8fd947ac4809dc6cf58e56dca02

Observation b4b41658-556c-47d9-90ab-8ef9a2cb9b2e · outbound

This paper cites Deep Neural Networks as Gaussian Processes.

Statistical Physics of Deep Neural Networks: Generalization Capability, Beyond the Infinite Width, and Feature Learning Deep Neural Networks as Gaussian Processes

Reference 2017

Resolution
unresolved
no resolver link, observed 2026-08-09T20:47:40.684251Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T20:47:40.684251Z digest=sha256:3dad6bb12b92db465b6c3b6bd9881b926b698689a73bbf060b8559e26e7c7a3a

Observation 5c235f9e-0e8e-4d4b-a760-69c98252c991 · outbound

This paper cites url: https://link.aps.org/ doi/10.1103/PhysRevX.8.031003.

Statistical Physics of Deep Neural Networks: Generalization Capability, Beyond the Infinite Width, and Feature Learning url: https://link.aps.org/ doi/10.1103/PhysRevX.8.031003

Reference 2018

Resolution
unresolved
no resolver link, observed 2026-08-09T20:47:40.670322Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T20:47:40.670322Z digest=sha256:57422d278c347b4ae06a404b72c2fac9a27bcf55ccecff684c331e10fe46769e

Observation ca815033-a176-4b10-be75-c823562a008e · outbound

This paper cites Local Convolutions Cause an Implicit Bias towards High Frequency Adversarial Examples.

Statistical Physics of Deep Neural Networks: Generalization Capability, Beyond the Infinite Width, and Feature Learning Local Convolutions Cause an Implicit Bias towards High Frequency Adversarial Examples

Reference 2019

Resolution
metadata mismatch
local_arxiv, observed 2026-08-09T20:47:41.078115Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-09T20:47:40.665571Z digest=sha256:0ef742480fb05df21f5a7c1800221ab0c0bc3cff3da66c9625a4833b357f6db5

Observation 07acc972-d739-4ca6-9174-83ae57525ee9 · outbound

This paper cites A Closer Look at Memorization in Deep Networks.

Statistical Physics of Deep Neural Networks: Generalization Capability, Beyond the Infinite Width, and Feature Learning A Closer Look at Memorization in Deep Networks

Reference 2020

Resolution
unresolved
no resolver link, observed 2026-08-09T20:47:40.657531Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T20:47:40.657531Z digest=sha256:6203846623c251e07e245c3857fbc4d2975e35e340cccea10d8d740fb88a69f4

Observation c047a3f9-f7bc-49b0-a0bf-44aada2c7250 · outbound

This paper cites url: https://link.aps.

Statistical Physics of Deep Neural Networks: Generalization Capability, Beyond the Infinite Width, and Feature Learning url: https://link.aps

Reference 2021

Resolution
verified exact
raw_fallback, observed 2026-08-09T20:47:41.024793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-09T20:47:40.688933Z digest=sha256:6b37ee3b5edeb570faa8b3f04609001babc8b0dea42e88c7251c46614160363f

Pith citing papers

Observation 9985edb4-6803-427d-9628-072ca1ce058f · inbound

Data-Driven Energy-Based Learning via Gibbs Measures on Hierarchical Structures cites this paper.

Data-Driven Energy-Based Learning via Gibbs Measures on Hierarchical Structures Statistical Physics of Deep Neural Networks: Generalization Capability, Beyond the Infinite Width, and Feature Learning

Reference 2

Resolution
verified exact
arxiv_id, observed 2026-06-30T07:14:20.437985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-06-30T07:12:21.293282Z digest=sha256:05349aded2e8904d7075a50af46e399b3e31bfbfdc0b1caec45fce5ae1ac2b9c