Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima | Paper Citation Record

Observation c19940a2-ef5b-4bbc-92be-f4fd9b29243d · outbound

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

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Second-order regression models exhibit progressive sharpening to the edge of stability

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T08:26:59.152148Z

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Observation 276a2904-6534-4a3b-b0da-b6f20fde5152 · outbound

This paper cites an unresolved cited work.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-07-10T08:26:59.169084Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 27592e6d-64a9-42e1-b947-9cce087fc13b · outbound

This paper cites Allen-Zhu, Y.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Allen-Zhu, Y

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T08:26:59.170688Z

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Observation 65dfee7e-4d2b-4dcc-8b99-4b3177feebc9 · outbound

This paper cites an unresolved cited work.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-07-10T08:26:59.099647Z

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Observation 24b761de-da74-4c23-a053-f23bd8363f98 · outbound

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Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-07-10T08:26:59.165653Z

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Observation 97c93a0f-8ca8-4330-b9eb-b760f3e2a373 · outbound

This paper cites Arora, Z.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Arora, Z

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T08:26:59.183605Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 12298b9f-3f14-496d-8002-d2a77c5a152c · outbound

This paper cites Baldomá and E.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Baldomá and E

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T08:26:59.180401Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a2634bcc-fb88-4087-8f91-dda01cc96956 · outbound

This paper cites Bombari, M.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Bombari, M

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T08:26:59.160864Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0ce432bb-d1ff-4d1c-8d04-b913b9b3123f · outbound

This paper cites an unresolved cited work.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-07-10T08:26:59.192068Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b30a8751-4947-41c7-819c-8e3ba7f7b67b · outbound

This paper cites Méthode générale pour la résolution des systèmes d’équations simul- tanées.Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, 25:536–538, 1847.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Méthode générale pour la résolution des systèmes d’équations simul- tanées.Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, 25:536–538, 1847

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T08:26:59.188745Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 14588864-5508-470b-942a-9e381b1c2924 · outbound

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

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Beyond the Edge of Stability via Two-step Gradient Updates

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T08:26:59.182034Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d426cabe-189f-46d1-8d62-a22f5de2e55d · outbound

This paper cites Chizat, E.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Chizat, E

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T08:26:59.210429Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 645fc1c0-0d5e-4134-b0e9-b27fd7ae2472 · outbound

This paper cites Cohen, S.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Cohen, S

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T08:26:59.198871Z

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Observation 40ba38ef-ba63-44d7-88bc-0071cb304db2 · outbound

This paper cites an unresolved cited work.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-07-10T08:26:59.200512Z

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Observation c0f73b11-392c-4061-a24f-0009d670606f · outbound

This paper cites Damian, E.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Damian, E

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T08:26:59.202116Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 28687d96-583a-4d97-828f-ab81a36fa4ad · outbound

This paper cites Universal Sharpness Dynamics in Neural Network Training: Fixed Point Analysis, Edge of Stability, and Route to Chaos.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Universal Sharpness Dynamics in Neural Network Training: Fixed Point Analysis, Edge of Stability, and Route to Chaos

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T08:26:59.155667Z

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Observation 887a4c3e-9f7f-4109-97ff-c637015ba66a · outbound

This paper cites an unresolved cited work.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-07-10T08:26:59.157513Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 309edec5-f337-48a6-9939-01c8c8d006ad · outbound

This paper cites an unresolved cited work.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-07-10T08:26:59.172322Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 93c68b02-8c82-4f0e-9e2b-929371afa47d · outbound

This paper cites Frobenius.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Frobenius

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T08:26:59.205405Z

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 c10300a5-10b0-4ab9-b330-0163701eb6f9 · outbound

This paper cites Gérard and H.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Gérard and H

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T08:26:59.148449Z

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 a21158be-6e30-4087-9d28-d931c73491fe · outbound

This paper cites Learning dynamics of deep matrix factorization beyond the edge of stability.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Learning dynamics of deep matrix factorization beyond the edge of stability

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T08:26:59.150251Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 07440d99-bfda-461f-a470-426200b5dbc5 · outbound

This paper cites Flatness is a False Friend.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Flatness is a False Friend

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-07-10T08:26:58.909534Z

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 c2e30605-6588-489e-9636-2a4dc8d04297 · outbound

This paper cites an unresolved cited work.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-07-10T08:26:59.101555Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 738a5cb3-f22d-4c7b-8294-07db57d29f85 · outbound

This paper cites Accelerated Gradient Descent via Long Steps.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Accelerated Gradient Descent via Long Steps

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-07-10T08:26:58.904457Z

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 3e386732-8efe-4530-a564-986a428ed9fe · outbound

This paper cites Grimmer, K.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Grimmer, K

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T08:26:59.145132Z

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 e689ff8a-6d33-409f-a34d-655dc96e4b94 · outbound

This paper cites an unresolved cited work.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-07-10T08:26:59.141896Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 813a4eac-7e2c-4cff-8966-23073f94c1db · outbound

This paper cites an unresolved cited work.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-07-10T08:26:59.143508Z

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 a98ee5d1-f0d6-4cd5-8c2d-035caec40b2a · outbound

This paper cites Hochreiter and J.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Hochreiter and J

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T08:26:59.146798Z

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 b66fd026-42f6-41e7-8694-3c0b1f35de62 · outbound

This paper cites Jacot, F.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Jacot, F

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T08:26:59.128304Z

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 e409c13b-3c17-4b55-a2ec-39fc92221f00 · outbound

This paper cites Karimi, J.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Karimi, J

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T08:26:59.140247Z

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 2563109b-ce7d-4398-95cb-44d59ef0e49b · outbound

This paper cites an unresolved cited work.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-07-10T08:26:59.106851Z

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 f921eaeb-4278-4ae3-b64d-007ef4c1585d · outbound

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

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Gradient descent mono- tonically decreases the sharpness of gradient flow solutions in scalar networks and beyond

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T08:26:59.105047Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 82bdc9aa-437e-478c-9b1c-6c6fa5fee842 · outbound

This paper cites an unresolved cited work.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-07-10T08:26:59.103234Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 53d12a72-20be-4899-929d-d26901d6c95e · outbound

This paper cites an unresolved cited work.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-07-10T08:26:59.164050Z

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 cd5a400c-d12a-464d-8d05-d4cdffcd84d5 · outbound

This paper cites an unresolved cited work.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-07-10T08:26:59.162494Z

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 80875b65-9b09-4ef3-b424-68a7a7abbb14 · outbound

This paper cites Lee and C.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Lee and C

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T08:26:59.137112Z

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 2af9249e-39a5-4a24-a0a1-8de021eed5a4 · outbound

This paper cites A minimalist example of edge-of-stability and progressive sharpening.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima A minimalist example of edge-of-stability and progressive sharpening

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T08:26:59.108778Z

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 911c09c7-59e6-4e55-a442-f77b41f8f27f · outbound

This paper cites Centre manifold theorem for maps along manifolds of fixed points.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Centre manifold theorem for maps along manifolds of fixed points

Reference 38

Resolution: verified exact; local_arxiv, observed 2026-07-10T08:26:58.907074Z

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 870f895d-b237-4721-8c5b-70c786f07db5 · outbound

This paper cites an unresolved cited work.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-07-10T08:26:59.113719Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 99da463c-828c-4f12-aa2a-339a64a13b31 · outbound

This paper cites Marion and L.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Marion and L

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T08:26:59.112088Z

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 49383d92-be3f-441c-b8f6-40086b81e73e · outbound

This paper cites Mengi, E.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Mengi, E

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T08:26:59.135419Z

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 8be84615-fb66-44ba-abd5-61eeade70a03 · outbound

This paper cites Mulayoff and T.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Mulayoff and T

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T08:26:59.110459Z

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 90637bd5-a92e-43f0-a3d5-4e8fb7478c77 · outbound

This paper cites an unresolved cited work.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Unresolved cited work

Reference 43

Resolution: unresolved; raw_fallback, observed 2026-07-10T08:26:59.138720Z

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 a397ee00-0d5a-4906-a029-67a67be9dd13 · outbound

This paper cites Nguyen and M.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Nguyen and M

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T08:26:59.177137Z

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 fd32af7a-b5a1-4255-a2fa-3ce599fb58f1 · outbound

This paper cites Nguyen, M.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Nguyen, M

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T08:26:59.193643Z

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 3be06e63-0c74-4dd8-bfb8-61f720ea3996 · outbound

This paper cites an unresolved cited work.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Unresolved cited work

Reference 46

Resolution: unresolved; raw_fallback, observed 2026-07-10T08:26:59.173896Z

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 e7b8e7b2-021e-4e16-857e-bd784455a41b · outbound

This paper cites Large Learning Rate Tames Homo- geneity: Convergence and Balancing Effect.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Large Learning Rate Tames Homo- geneity: Convergence and Balancing Effect

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T08:26:59.167433Z

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 b0d8392c-ba1e-4c7d-8b20-4024b4ac61b3 · outbound

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

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Good regularity creates large learning rate implicit biases: edge of stability, balancing, and catapult

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T08:26:59.130390Z

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 7e63a696-4e31-4b42-ad24-8d216f761e63 · outbound

This paper cites an unresolved cited work.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Unresolved cited work

Reference 49

Resolution: unresolved; raw_fallback, observed 2026-07-10T08:26:59.133699Z

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 fec9f4d3-e501-45b2-a8fb-5005977d04f6 · outbound

This paper cites an unresolved cited work.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Unresolved cited work

Reference 50

Resolution: unresolved; raw_fallback, observed 2026-07-10T08:26:59.159229Z

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 552b38a1-0fbc-4304-a554-7dbb7989310a · outbound

This paper cites an unresolved cited work.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Unresolved cited work

Reference 51

Resolution: unresolved; raw_fallback, observed 2026-07-10T08:26:59.126627Z

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 9bbfeeea-b4bd-4af6-a632-3a5551910cb3 · outbound

This paper cites an unresolved cited work.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Unresolved cited work

Reference 52

Resolution: unresolved; raw_fallback, observed 2026-07-10T08:26:59.178854Z

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 6ab7f1c3-0f99-4363-bdf1-bbe768f48233 · outbound

This paper cites an unresolved cited work.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Unresolved cited work

Reference 53

Resolution: unresolved; raw_fallback, observed 2026-07-10T08:26:59.153868Z

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 2b01d1b9-9d99-4dd4-97f3-8cf1e407fa1e · outbound

This paper cites an unresolved cited work.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Unresolved cited work

Reference 54

Resolution: unresolved; raw_fallback, observed 2026-07-10T08:26:59.132088Z

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 34d840ea-77dc-43a8-b5de-668ed0d12d42 · outbound

This paper cites and Song, M.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima and Song, M

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T08:26:59.208803Z

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 bda1ba82-714a-49e7-96df-a358776f939d · outbound

This paper cites Yoshino and A.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Yoshino and A

Reference 56

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T08:26:59.125002Z

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 3610b8bb-490d-43be-b2e8-ce9dee46de1b · outbound

This paper cites an unresolved cited work.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Unresolved cited work

Reference 57

Resolution: unresolved; raw_fallback, observed 2026-07-10T08:26:59.175468Z

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 e8627a9d-b0f4-411e-be26-516745911b70 · outbound

This paper cites an unresolved cited work.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Unresolved cited work

Reference 58

Resolution: unresolved; raw_fallback, observed 2026-07-10T08:26:59.186828Z

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 82ca52a0-05c0-4f1e-b4af-1d94568ed598 · outbound

This paper cites an unresolved cited work.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Unresolved cited work

Reference 59

Resolution: unresolved; raw_fallback, observed 2026-07-10T08:26:59.123059Z

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 b1ebb703-94a3-4860-918b-d0bfbaac1833 · outbound

This paper cites regular singular.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima regular singular

Reference 60

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T08:26:59.190463Z

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 2d59cea5-9e84-4dc0-ad37-6b5588dbbb76 · outbound

This paper cites an unresolved cited work.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Unresolved cited work

Reference 61

Resolution: unresolved; raw_fallback, observed 2026-07-10T08:26:59.185240Z

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 8ea0f69b-5c62-4369-ad07-c60d7e0b8e96 · outbound

This paper cites Then for any ρ >0 sufficiently small, the set Vρ,∆ as defined in the statement is contained inV ′, hence in V , and satisfies β|Vρ,∆ ≤ −∆.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Then for any ρ >0 sufficiently small, the set Vρ,∆ as defined in the statement is contained inV ′, hence in V , and satisfies β|Vρ,∆ ≤ −∆

Reference 62

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T08:26:59.121271Z

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 64a40126-e3d5-486d-a800-3795ed604fdc · outbound

This paper cites Finally, we assume that for any ¯z∈Rdz and any sufficiently small ρ >0 , there is an open neighbourhood Vρ of(¯z,0,0,0)of diameter at mostρwhich is invariant underT.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Finally, we assume that for any ¯z∈Rdz and any sufficiently small ρ >0 , there is an open neighbourhood Vρ of(¯z,0,0,0)of diameter at mostρwhich is invariant underT

Reference 63

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T08:26:59.195426Z

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 a0e9b2ae-ed5c-44cc-a701-8f81500049b8 · outbound

This paper cites an unresolved cited work.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Unresolved cited work

Reference 64

Resolution: unresolved; raw_fallback, observed 2026-07-10T08:26:59.203702Z

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 53adc267-c658-40c3-888f-cdde8a5c3343 · outbound

This paper cites weak contraction.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima weak contraction

Reference 65

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T08:26:59.119170Z

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 7a094dfb-2ac6-4a7a-ae24-43c8743de3ed · outbound

This paper cites an unresolved cited work.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Unresolved cited work

Reference 66

Resolution: malformed identifier; raw_fallback, observed 2026-07-10T08:26:59.207115Z

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 a1171aba-8397-4fdc-af94-b577d6dccda9 · outbound

This paper cites Thus |Φ◦T u,y1(u, y1)| ≤ |Φ(u, y 1)|(1−2cy 2 1).(249) We now turn to lower-boundingT u(u, y1)/∥u∥.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Thus |Φ◦T u,y1(u, y1)| ≤ |Φ(u, y 1)|(1−2cy 2 1).(249) We now turn to lower-boundingT u(u, y1)/∥u∥

Reference 67

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T08:26:59.197184Z

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 158df063-07df-443b-bf58-cbd9e7997d31 · outbound

This paper cites Consider the ratio q:=y 1/∥u∥.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Consider the ratio q:=y 1/∥u∥

Reference 68

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T08:26:59.115438Z

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 d7600431-fc0a-4d7e-b2e5-179dc69a63c5 · outbound

This paper cites an unresolved cited work.

Dynamics of Gradient Descent with Large Step Size Near a Manifold of Flat Minima Unresolved cited work

Reference 69

Resolution: unresolved; raw_fallback, observed 2026-07-10T08:26:59.117417Z

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.

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