Paper Citation Record · LEDGER

Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks

As of 6 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 1 inbound Pith citation observation for arXiv:2605.06300.

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

pith.paper-citation-record.v1
2605.06300 v2

Coverage vector

measured 41 of 41 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-12T02:06:30.317027Z

measured 42 of 42 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-11T11:50:26.030339Z

measured 1 of 1 external citation measurements

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

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

Reference resolution

41 of 41 outbound references displayed

verified exact1
verified fuzzy28
unresolved9
parse uncertain0
malformed identifier0
metadata mismatch3

External citation measurements

9
pith, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation a1eb86f2-ee3b-4f6f-8046-3d7c07a5437a · outbound

This paper cites On the Number of Linear Regions of Deep Neural Networks , booktitle =.

Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks On the Number of Linear Regions of Deep Neural Networks , booktitle =

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:06:58.126112Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation cc44c6e7-b0c3-4d7a-8bfe-8a6c2def4aea · outbound

This paper cites Advances in Neural Information Processing Systems , volume =.

Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks Advances in Neural Information Processing Systems , volume =

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:06:58.093306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation b3cd5b5b-fea2-447e-b0ba-2b89b59747d6 · outbound

This paper cites Baraniuk , title =.

Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks Baraniuk , title =

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:06:58.080510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation be567eb7-6775-4508-b8f5-7334c2fbfc11 · outbound

This paper cites Advances in Neural Information Processing Systems , year=.

Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks Advances in Neural Information Processing Systems , year=

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:06:58.083788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 4ef451d9-717c-4d1d-b324-4351f7326db5 · outbound

This paper cites Proceedings of the 27th international conference on machine learning (ICML-10) , pages=.

Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks Proceedings of the 27th international conference on machine learning (ICML-10) , pages=

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:06:58.071513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 7c0f8843-c52d-4ec5-8230-76c703072c8c · outbound

This paper cites Maas and Awni Y.

Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks Maas and Awni Y

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:06:58.077578Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 03f58c04-76c3-47b3-b4e3-6a817d5628bb · outbound

This paper cites Gaussian Error Linear Units (GELUs).

Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks Gaussian Error Linear Units (GELUs)

Reference 7

Resolution: metadata mismatch; local_arxiv, observed 2026-05-12T07:42:07.984966Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation b897bf87-66eb-4167-b14d-d7ee448cdf6a · outbound

This paper cites On the Expected Complexity of Maxout Networks , booktitle =.

Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks On the Expected Complexity of Maxout Networks , booktitle =

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:06:58.100020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation ca2dce54-3c30-44b5-a22c-fbc28ebc8543 · outbound

This paper cites an unresolved cited work.

Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-05-13T00:06:58.096449Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 09790466-5aee-4c36-a186-4e7a188649a2 · outbound

This paper cites Baraniuk , title =.

Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks Baraniuk , title =

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:06:58.111607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 0c8396a4-1904-4778-bca6-5b2febc2a38a · outbound

This paper cites Neural Networks , volume =.

Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks Neural Networks , volume =

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:06:58.121600Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 2d54d51f-d83e-4a8b-b979-2e5c624c70d3 · outbound

This paper cites an unresolved cited work.

Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-05-13T00:06:58.105194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 07326240-f042-43ab-bde8-3fda86de9021 · outbound

This paper cites an unresolved cited work.

Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-05-13T00:06:58.102653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 2c2c1c70-41a2-4c91-8b48-9b149dbe3052 · outbound

This paper cites On the Local Complexity of Linear Regions in Deep.

Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks On the Local Complexity of Linear Regions in Deep

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:06:58.007342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation dc280f7c-a306-416b-847a-323ac19a635d · outbound

This paper cites Advances in Neural Information Processing Systems , volume =.

Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks Advances in Neural Information Processing Systems , volume =

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:06:58.022047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation c98bcc4e-fcb2-4aa9-85e5-b46dc860eafc · outbound

This paper cites Elisenda Grigsby and Kathryn Lindsey , title =.

Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks Elisenda Grigsby and Kathryn Lindsey , title =

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:06:58.090227Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 8da5dccb-37c3-4369-a39e-273885b67c2b · outbound

This paper cites an unresolved cited work.

Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-05-13T00:06:58.014292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 3dbfa990-b9c3-4832-a32b-342c986e93e6 · outbound

This paper cites Jeong and David Rolnick , title =.

Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks Jeong and David Rolnick , title =

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:06:58.018521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation a49a2818-adc7-4e98-b356-6ac16e1b743f · outbound

This paper cites an unresolved cited work.

Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-05-13T00:06:58.028738Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 29d2b71c-730f-4bef-a6d6-66df912609c2 · outbound

This paper cites Advances in Neural Information Processing Systems , volume =.

Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks Advances in Neural Information Processing Systems , volume =

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:06:58.051372Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation f7ae7e51-7e45-4718-ad97-9f2421ef6eaa · outbound

This paper cites Kording , title =.

Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks Kording , title =

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:06:58.057457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation bc972993-2018-45d1-a956-be424c19d098 · outbound

This paper cites an unresolved cited work.

Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-05-13T00:06:58.086681Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation b0c2ccb0-9e54-4626-932d-b8e18209b329 · outbound

This paper cites an unresolved cited work.

Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-05-13T00:06:58.047988Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 4045ca02-66c3-4da2-8f8d-4c3645fd59eb · outbound

This paper cites Journal of Computational Mathematics , volume =.

Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks Journal of Computational Mathematics , volume =

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:06:58.044472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 7f332d6d-e99d-4e9c-9d75-7ba23ad51798 · outbound

This paper cites 2023 , doi =.

Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks 2023 , doi =

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:06:58.025465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 7a9dcfde-2a85-4e81-8881-09b425f0e404 · outbound

This paper cites Rao , title =.

Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks Rao , title =

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:06:58.074464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 0bc19797-5c11-4833-a193-88940afa6c2e · outbound

This paper cites an unresolved cited work.

Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-05-13T00:06:58.060654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 3321dcb1-899b-4f7a-abeb-0cab12a3f970 · outbound

This paper cites an unresolved cited work.

Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-05-13T00:06:58.054509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 0faf2e50-fdb8-44e9-9aa5-771a866d0f3c · outbound

This paper cites 2022 , doi =.

Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks 2022 , doi =

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:06:58.064243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 2abf17aa-977b-4e76-bf0e-7408853afdef · outbound

This paper cites Laine , title =.

Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks Laine , title =

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:06:58.129348Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 2655dfca-2783-468b-bc4d-4e460b76b154 · outbound

This paper cites Proceedings of the IEEE conference on computer vision and pattern recognition , pages=.

Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks Proceedings of the IEEE conference on computer vision and pattern recognition , pages=

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:06:58.040299Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 0b8a2c09-cddc-4fd5-b50b-0a5d99170f80 · outbound

This paper cites International conference on machine learning , pages=.

Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks International conference on machine learning , pages=

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:06:58.068138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation b5a22f6a-0a5f-41a5-bd42-499361d00854 · outbound

This paper cites 2009 IEEE conference on computer vision and pattern recognition , pages=.

Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks 2009 IEEE conference on computer vision and pattern recognition , pages=

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:06:58.108337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 5a75d5f9-302b-4fda-af83-f97f1ca236c3 · outbound

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

Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks Very Deep Convolutional Networks for Large-Scale Image Recognition

Reference 34

Resolution: metadata mismatch; local_arxiv, observed 2026-05-12T07:42:08.216169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation e0912b0a-9a5c-4d28-b505-8b7fdb75d93e · outbound

This paper cites An Image is Worth 16x16 Words: Transformers for Image Recognition at Scale.

Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks An Image is Worth 16x16 Words: Transformers for Image Recognition at Scale

Reference 35

Resolution: metadata mismatch; local_arxiv, observed 2026-05-12T07:42:07.916190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 8174ffdc-6f7d-4ae7-8e5e-e1c3badbc6dc · outbound

This paper cites nature , volume=.

Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks nature , volume=

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:06:58.032706Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation f18bbc8f-775b-410a-9423-b679aac6541f · outbound

This paper cites 2013 , publisher=.

Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks 2013 , publisher=

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:06:58.114539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 1e5b0b61-4eff-4bc0-914a-52e5cadfad6f · outbound

This paper cites the Journal of machine Learning research , volume=.

Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks the Journal of machine Learning research , volume=

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:06:58.117904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation ab719dfa-6763-4991-b4ba-30f3f93580e8 · outbound

This paper cites International Conference on Neural Information Processing , pages=.

Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks International Conference on Neural Information Processing , pages=

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:06:58.010875Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 0bb2055b-19ad-4a62-a53c-4cc84d2ac2eb · outbound

This paper cites International Conference on Artificial Neural Networks , pages=.

Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks International Conference on Artificial Neural Networks , pages=

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T00:06:58.036599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 46a77a01-0a99-476f-9ebf-1954e0a9173a · outbound

This paper cites The Evolution of the Interplay Between Input Distributions and Linear Regions in Networks.

Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks The Evolution of the Interplay Between Input Distributions and Linear Regions in Networks

Reference 41

Resolution: verified exact; arxiv_id, observed 2026-05-12T07:42:08.089499Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Pith citing papers

Observation a3fc5db9-85f5-402b-b169-78aa9af680d8 · inbound

Expressivity Saturation: Reduced Affine Region Usage Under Increasing Task Complexity cites this paper.

Expressivity Saturation: Reduced Affine Region Usage Under Increasing Task Complexity Region Seeding via Pre-Activation Regularization: A Geometric View of Piecewise Affine Neural Networks

Reference 13

Resolution: metadata mismatch; local_arxiv, observed 2026-06-26T14:39:31.943019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.