Paper Citation Record · LEDGER

SGD at the Edge of Stability: The Stochastic Sharpness Gap

As of 4 August 2026, this Paper Citation Record lists 62 of 62 outbound references and 1 inbound Pith citation observation for arXiv:2604.21016.

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

pith.paper-citation-record.v1
2604.21016 v1

Coverage vector

measured 62 of 62 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-10T00:59:39.800662Z

measured 63 of 63 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-04T06:34:03.388597+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-27T22:42:16.293180Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-02T16:27:09.258295Z

Reference resolution

62 of 62 outbound references displayed

verified exact5
verified fuzzy53
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d004b060-440d-497c-a4db-438db73b13de · outbound

This paper cites Ahn and J.

SGD at the Edge of Stability: The Stochastic Sharpness Gap Ahn and J

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T10:15:35.140324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation efdbf777-ec95-45d5-ba60-59d9f94f89bf · outbound

This paper cites Andreyev and P.

SGD at the Edge of Stability: The Stochastic Sharpness Gap Andreyev and P

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T10:15:35.134042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 8a84c150-db08-4ef4-839a-172d42842ca1 · outbound

This paper cites Arora and Z.

SGD at the Edge of Stability: The Stochastic Sharpness Gap Arora and Z

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T10:15:35.033495Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation d4f9a245-605a-4562-b8d6-a6a3a7da23e6 · outbound

This paper cites Blanc and N.

SGD at the Edge of Stability: The Stochastic Sharpness Gap Blanc and N

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T10:15:35.045082Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 64261711-25a8-41c0-92fd-48c6eabfcf9b · outbound

This paper cites Beyond the Edge of Stability via Two-step Gradient Updates.

SGD at the Edge of Stability: The Stochastic Sharpness Gap Beyond the Edge of Stability via Two-step Gradient Updates

Reference 5

Resolution: verified exact; arxiv_id, observed 2026-05-10T00:59:49.381861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 30496f9b-dd94-4563-9f9c-fc4438fee185 · outbound

This paper cites Damian and T.

SGD at the Edge of Stability: The Stochastic Sharpness Gap Damian and T

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T10:15:35.030480Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 4ae57921-aff7-48e3-9bb9-92e6375b8f29 · outbound

This paper cites Foret and A.

SGD at the Edge of Stability: The Stochastic Sharpness Gap Foret and A

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T10:15:35.041586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 7bacc273-8362-4f80-9251-dd9379e6b27c · outbound

This paper cites Gilmer and B.

SGD at the Edge of Stability: The Stochastic Sharpness Gap Gilmer and B

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T10:15:35.051654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation eb0d038d-154f-41d3-ab03-0dc50013845b · outbound

This paper cites Jastrzebski and Z.

SGD at the Edge of Stability: The Stochastic Sharpness Gap Jastrzebski and Z

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T10:15:35.064839Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 4cff7b41-32d8-44ca-a52f-1d1701fac88d · outbound

This paper cites Jastrzebski and M.

SGD at the Edge of Stability: The Stochastic Sharpness Gap Jastrzebski and M

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T10:15:35.008540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 33945e7b-5f52-42b2-ad56-5cfab34121d6 · outbound

This paper cites Jiang and B.

SGD at the Edge of Stability: The Stochastic Sharpness Gap Jiang and B

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T10:15:35.005547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 954667dc-f153-4bea-bf49-4758cc7d4961 · outbound

This paper cites an unresolved cited work.

SGD at the Edge of Stability: The Stochastic Sharpness Gap Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-05-23T10:15:35.018142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 93657e69-7aea-43e6-a590-305ff369fc34 · outbound

This paper cites Lee and C.

SGD at the Edge of Stability: The Stochastic Sharpness Gap Lee and C

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T10:15:35.020956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation d7a3f6ce-94f8-4769-95a8-443f6979bc10 · outbound

This paper cites Li and C.

SGD at the Edge of Stability: The Stochastic Sharpness Gap Li and C

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T10:15:35.058492Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 893aff6a-f43a-4a51-9990-80e81ec4a9aa · outbound

This paper cites Li and T.

SGD at the Edge of Stability: The Stochastic Sharpness Gap Li and T

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T10:15:35.104736Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 59afe470-039c-4bb8-8f71-14057a454112 · outbound

This paper cites Li and T.

SGD at the Edge of Stability: The Stochastic Sharpness Gap Li and T

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T10:15:35.107739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 66115fa8-ad5c-4773-a191-864a87b6b772 · outbound

This paper cites Lyu and Z.

SGD at the Edge of Stability: The Stochastic Sharpness Gap Lyu and Z

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T10:15:35.161664Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 0c2ca4cb-5310-4cb8-9305-a7bd6b5c660d · outbound

This paper cites Ma and L.

SGD at the Edge of Stability: The Stochastic Sharpness Gap Ma and L

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T10:15:35.158787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation baca19a2-4cde-44d3-83f0-dcbd61df6f3d · outbound

This paper cites Mandt and M.

SGD at the Edge of Stability: The Stochastic Sharpness Gap Mandt and M

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T10:15:35.155875Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 8e832eb1-69eb-4237-8ca9-a8a6542efd66 · outbound

This paper cites Wu and C.

SGD at the Edge of Stability: The Stochastic Sharpness Gap Wu and C

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T10:15:35.167854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation c450f7b4-b980-42bf-8c65-282684cba723 · outbound

This paper cites International Conference on Learning Representations , year=.

SGD at the Edge of Stability: The Stochastic Sharpness Gap International Conference on Learning Representations , year=

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T10:15:35.143545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation f4171b93-3271-48fe-869c-596fbdff6f21 · outbound

This paper cites International Conference on Learning Representations , year=.

SGD at the Edge of Stability: The Stochastic Sharpness Gap International Conference on Learning Representations , year=

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T10:15:35.149601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation a498c573-dc71-40ef-9dda-ce84dc24aa62 · outbound

This paper cites International Conference on Machine Learning , year=.

SGD at the Edge of Stability: The Stochastic Sharpness Gap International Conference on Machine Learning , year=

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T10:15:35.146586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation a3f48902-c3dd-40ac-b274-748e288fca69 · outbound

This paper cites International Conference on Learning Representations , year=.

SGD at the Edge of Stability: The Stochastic Sharpness Gap International Conference on Learning Representations , year=

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T10:15:35.170822Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation d212cf0f-acef-4283-9f83-b7e1a216df11 · outbound

This paper cites Analyzing Sharpness along.

SGD at the Edge of Stability: The Stochastic Sharpness Gap Analyzing Sharpness along

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T10:15:35.183321Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 81e635f4-83af-4251-b83e-5d8337a69e03 · outbound

This paper cites International Conference on Machine Learning , year=.

SGD at the Edge of Stability: The Stochastic Sharpness Gap International Conference on Machine Learning , year=

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T10:15:35.128013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 94980865-8863-4da9-8f4a-13370bc29ed2 · outbound

This paper cites International Conference on Machine Learning , year=.

SGD at the Edge of Stability: The Stochastic Sharpness Gap International Conference on Machine Learning , year=

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T10:15:35.131169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 9fe93dd4-0363-4dda-b3ad-42e3cc254179 · outbound

This paper cites International Conference on Machine Learning , year=.

SGD at the Edge of Stability: The Stochastic Sharpness Gap International Conference on Machine Learning , year=

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T10:15:35.137396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 5a6904fe-a0b4-4518-926a-eae343cdfe66 · outbound

This paper cites International Conference on Learning Representations , year=.

SGD at the Edge of Stability: The Stochastic Sharpness Gap International Conference on Learning Representations , year=

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T10:15:35.164873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 1799fb6c-4c69-406f-b1fb-4ecbbb84451a · outbound

This paper cites International Conference on Learning Representations , year=.

SGD at the Edge of Stability: The Stochastic Sharpness Gap International Conference on Learning Representations , year=

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T10:15:35.117840Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 4548b092-ce36-4d26-b213-33c366d47726 · outbound

This paper cites International Conference on Learning Representations , year=.

SGD at the Edge of Stability: The Stochastic Sharpness Gap International Conference on Learning Representations , year=

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T10:15:35.101860Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 653ba075-7f0f-47d4-b1b7-665cad87d501 · outbound

This paper cites and Kindermans, Pieter-Jan and Ying, Chris and Le, Quoc V.

SGD at the Edge of Stability: The Stochastic Sharpness Gap and Kindermans, Pieter-Jan and Ying, Chris and Le, Quoc V

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T10:15:35.120963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 109b704d-5ee9-4ba5-b5d5-92b219032506 · outbound

This paper cites an unresolved cited work.

SGD at the Edge of Stability: The Stochastic Sharpness Gap Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-05-23T10:15:35.089396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 801420e9-4156-4725-b6c5-5c10fea83aa5 · outbound

This paper cites International Conference on Learning Representations , year=.

SGD at the Edge of Stability: The Stochastic Sharpness Gap International Conference on Learning Representations , year=

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T10:15:35.173940Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation e6088551-f5e2-4476-ac69-8567d38b3082 · outbound

This paper cites The Alignment Property of.

SGD at the Edge of Stability: The Stochastic Sharpness Gap The Alignment Property of

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T10:15:35.177007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 9ceca384-b229-4473-910c-332a767f015c · outbound

This paper cites Conference on Learning Theory , year=.

SGD at the Edge of Stability: The Stochastic Sharpness Gap Conference on Learning Theory , year=

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T10:15:35.080889Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation eb1267ce-f8ce-4fed-b487-87126628db33 · outbound

This paper cites booktitle=.

SGD at the Edge of Stability: The Stochastic Sharpness Gap booktitle=

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T10:15:35.086673Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 14b43559-cc02-4bb4-bb3a-25d791007329 · outbound

This paper cites Conference on Learning Theory , year=.

SGD at the Edge of Stability: The Stochastic Sharpness Gap Conference on Learning Theory , year=

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T10:15:35.095521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation a821f550-4380-4fc1-aa9d-a6c9d5afcd75 · outbound

This paper cites Second-order regression models exhibit progressive sharpening to the edge of stability.

SGD at the Edge of Stability: The Stochastic Sharpness Gap Second-order regression models exhibit progressive sharpening to the edge of stability

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T10:15:35.092550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 58bd7b13-7180-4238-967c-449948770604 · outbound

This paper cites Andreyev and P.

SGD at the Edge of Stability: The Stochastic Sharpness Gap Andreyev and P

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T10:15:35.071101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation b564e747-4112-4647-aa42-2f014099cc46 · outbound

This paper cites Understanding gradient descent on the edge of stability in deep learning.

SGD at the Edge of Stability: The Stochastic Sharpness Gap Understanding gradient descent on the edge of stability in deep learning

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T10:15:35.074295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 63ac7944-1a52-4c11-ad6f-fc1bb886b089 · outbound

This paper cites Beyond the edge of stability via two-step gradient updates.

SGD at the Edge of Stability: The Stochastic Sharpness Gap Beyond the edge of stability via two-step gradient updates

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T10:15:35.068209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation be9fb18d-25ef-4692-8da8-2e933847dc00 · outbound

This paper cites Cohen, Simran Kaur, Yuanzhi Li, J.

SGD at the Edge of Stability: The Stochastic Sharpness Gap Cohen, Simran Kaur, Yuanzhi Li, J

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T10:15:35.077561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation bd2aee80-71cd-4918-a189-10fefb970181 · outbound

This paper cites an unresolved cited work.

SGD at the Edge of Stability: The Stochastic Sharpness Gap Unresolved cited work

Reference 48

Resolution: unresolved; raw_fallback, observed 2026-05-23T10:15:35.083802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation f2de42b8-6cff-43d2-9535-5d5ae4af7a16 · outbound

This paper cites Lee, and Mahdi Soltanolkotabi.

SGD at the Edge of Stability: The Stochastic Sharpness Gap Lee, and Mahdi Soltanolkotabi

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T10:15:35.110842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 1de146f3-1456-41ba-901e-109082e5c128 · outbound

This paper cites an unresolved cited work.

SGD at the Edge of Stability: The Stochastic Sharpness Gap Unresolved cited work

Reference 50

Resolution: unresolved; raw_fallback, observed 2026-05-23T10:15:35.014893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation d5d993b4-891e-4c8e-8d09-2fa28189de52 · outbound

This paper cites HaoChen, Colin Wei, Jason D.

SGD at the Edge of Stability: The Stochastic Sharpness Gap HaoChen, Colin Wei, Jason D

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T10:15:35.152553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 1b859ee3-eada-4f76-9919-45ff1f0d1955 · outbound

This paper cites Jastrzebski, Z.

SGD at the Edge of Stability: The Stochastic Sharpness Gap Jastrzebski, Z

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T10:15:35.114008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation e1179f28-8816-4949-a50f-4582765e82d3 · outbound

This paper cites Jastrzebski, M.

SGD at the Edge of Stability: The Stochastic Sharpness Gap Jastrzebski, M

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T10:15:35.186177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 88cfc3a3-dea4-4925-8284-11843791eaef · outbound

This paper cites Universal sharpness dynamics in neural network training: Fixed point analysis, edge of stability, and route to chaos.

SGD at the Edge of Stability: The Stochastic Sharpness Gap Universal sharpness dynamics in neural network training: Fixed point analysis, edge of stability, and route to chaos

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T10:15:35.180329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 83aa0659-97f4-41b2-9066-6fa0d1212646 · outbound

This paper cites On large-batch training for deep learning: Generalization gap and sharp minima.

SGD at the Edge of Stability: The Stochastic Sharpness Gap On large-batch training for deep learning: Generalization gap and sharp minima

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T10:15:35.098764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation e986661e-6ff0-4307-84d6-e49d20e77b3f · outbound

This paper cites Gradient descent monotonically decreases the sharpness of gradient flow solutions in scalar networks and beyond.

SGD at the Edge of Stability: The Stochastic Sharpness Gap Gradient descent monotonically decreases the sharpness of gradient flow solutions in scalar networks and beyond

Reference 56

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T10:15:35.124619Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 26f31801-a862-496d-96c2-204a5054a8ef · outbound

This paper cites Lee and C.

SGD at the Edge of Stability: The Stochastic Sharpness Gap Lee and C

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T10:15:35.023676Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 9602fa3f-807d-4725-8944-0d29c099e53f · outbound

This paper cites The large learning rate phase of deep learning: the catapult mechanism.

SGD at the Edge of Stability: The Stochastic Sharpness Gap The large learning rate phase of deep learning: the catapult mechanism

Reference 58

Resolution: verified exact; arxiv_id, observed 2026-05-10T00:59:49.391917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 95ffec57-bff2-4431-b369-3720767ecc73 · outbound

This paper cites Analyzing sharpness along GD trajectory: Progressive sharpening and edge of stability.

SGD at the Edge of Stability: The Stochastic Sharpness Gap Analyzing sharpness along GD trajectory: Progressive sharpening and edge of stability

Reference 59

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T10:15:35.026790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 1f026e50-cb93-46d8-8429-b78e026193e7 · outbound

This paper cites Three Factors Influencing Minima in SGD.

SGD at the Edge of Stability: The Stochastic Sharpness Gap Three Factors Influencing Minima in SGD

Reference 60

Resolution: verified exact; arxiv_id, observed 2026-05-10T00:59:49.389404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 09dc5c1f-f1f0-4f20-a5cd-eead84560c02 · outbound

This paper cites Smith, Benoit Dherin, David G.

SGD at the Edge of Stability: The Stochastic Sharpness Gap Smith, Benoit Dherin, David G

Reference 61

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T10:15:35.048469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 760370c7-c22e-4d3b-a6eb-91ffca46d8d3 · outbound

This paper cites Good regularity creates large learning rate implicit biases: edge of stability, balancing, and catapult.

SGD at the Edge of Stability: The Stochastic Sharpness Gap Good regularity creates large learning rate implicit biases: edge of stability, balancing, and catapult

Reference 62

Resolution: verified exact; arxiv_id, observed 2026-05-10T00:59:49.384394Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 47d59210-4e14-4d25-9076-735073415b9f · outbound

This paper cites How SGD selects the global minima in over-parameterized learning: A dynamical stability perspective.

SGD at the Edge of Stability: The Stochastic Sharpness Gap How SGD selects the global minima in over-parameterized learning: A dynamical stability perspective

Reference 63

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T10:15:35.055479Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation ce3a09dd-b434-4bc0-87ee-c7f800a65a4c · outbound

This paper cites The alignment property of SGD noise and how it helps select flat minima: A stability analysis.

SGD at the Edge of Stability: The Stochastic Sharpness Gap The alignment property of SGD noise and how it helps select flat minima: A stability analysis

Reference 64

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T10:15:35.061870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation cd6791f9-7f3d-40cf-a996-be2b876c1f3a · outbound

This paper cites A Walk with SGD.

SGD at the Edge of Stability: The Stochastic Sharpness Gap A Walk with SGD

Reference 65

Resolution: verified exact; arxiv_id, observed 2026-05-10T00:59:49.386911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 726548bc-f875-4514-822f-4a8d8789a653 · outbound

This paper cites Understanding edge-of-stability training dynamics with a minimalist example.

SGD at the Edge of Stability: The Stochastic Sharpness Gap Understanding edge-of-stability training dynamics with a minimalist example

Reference 66

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T10:15:35.011864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Pith citing papers

Observation 3b3d83fe-013e-49bc-8ac6-a4917fb8335a · inbound

Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces cites this paper.

Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces SGD at the Edge of Stability: The Stochastic Sharpness Gap

Reference 40

Resolution: verified exact; local_arxiv, observed 2026-07-02T16:27:09.259494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.