Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework | Paper Citation Record

Observation 80133c9f-4774-4aa1-beab-f5c918703339 · outbound

This paper cites TensorFlow: Large-Scale Machine Learning on Heterogeneous Distributed Systems.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework TensorFlow: Large-Scale Machine Learning on Heterogeneous Distributed Systems

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-08T04:30:36.668113Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 99e9edc7-2c8b-4480-a5bb-cad07e20c0a9 · outbound

This paper cites Absil, R.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Absil, R

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:30:39.343914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation fd89656f-bc45-4852-8629-03f0e7fcfa26 · outbound

This paper cites Attouch and J.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Attouch and J

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-08T04:30:36.702711Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6ee3c42f-ac23-4180-836f-f0a234678e89 · outbound

This paper cites Attouch, J.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Attouch, J

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:30:39.294628Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 7b677f64-96c5-4079-99a4-db43619605e1 · outbound

This paper cites Attouch, J.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Attouch, J

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:30:39.267818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation fac13766-d0c4-41b3-b37f-28d391c40eb9 · outbound

This paper cites Bach,Self-concordant analysis for logistic regression, Electron.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Bach,Self-concordant analysis for logistic regression, Electron

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:30:39.225282Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 19409144-a4aa-477b-9099-24436be55b6d · outbound

This paper cites an unresolved cited work.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-08T04:30:39.195615Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 0ab91cf6-2e5d-41fd-99de-b8dc77b08265 · outbound

This paper cites an unresolved cited work.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-08T04:30:39.173277Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation c1be53a7-9044-4655-a129-69df9ed7662d · outbound

This paper cites Beck and M.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Beck and M

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:30:39.148199Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation c3f7d97c-a0cc-4a4d-a1d6-f7521de5fe77 · outbound

This paper cites Benaïm,A dynamical system approach to stochastic approximations, SIAM J.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Benaïm,A dynamical system approach to stochastic approximations, SIAM J

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:30:39.121789Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 2bad89ff-e724-4e7c-841b-b9af13f7d3d5 · outbound

This paper cites an unresolved cited work.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-08T04:30:39.093503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation a4968ff7-b7b7-4229-bc36-524f690c585d · outbound

This paper cites On the Trajectories of SGD Without Replacement.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework On the Trajectories of SGD Without Replacement

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-08T04:30:36.771153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 13dce8ef-66c0-463b-9595-1054b480d67a · outbound

This paper cites Bhojanapalli, B.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Bhojanapalli, B

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:30:39.067257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 6179750b-8401-4449-be33-18f29a913b0a · outbound

This paper cites Bianchi, W.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Bianchi, W

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:30:39.044450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation aa5543a8-f100-4e66-94c3-7f51d213bd6d · outbound

This paper cites Bolte, S.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Bolte, S

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:30:39.021145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 54c21e93-7fb1-4bf0-b9a7-b2d0b1dc63d7 · outbound

This paper cites Bottou, F.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Bottou, F

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:30:38.997576Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation dc57c845-e6fd-494b-a59d-a3a7ed9db8f5 · outbound

This paper cites an unresolved cited work.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-08T04:30:38.977348Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 127661e7-5522-499c-a430-9c5180f5c1f0 · outbound

This paper cites an unresolved cited work.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-08T04:30:38.959229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation d6f045f6-5bb1-4c8e-a655-7984ac930dde · outbound

This paper cites Daniilidis, W.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Daniilidis, W

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:30:38.935333Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 53b09b70-a9f3-4e09-981b-bbd193e401e6 · outbound

This paper cites Da vis and D.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Da vis and D

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:30:38.916572Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 4ddc11ec-60c3-4650-aa72-52dc6373e4c6 · outbound

This paper cites Da vis, D.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Da vis, D

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:30:38.897119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 8525ebd2-9454-4536-a442-9ee0a99bd314 · outbound

This paper cites Def azio, F.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Def azio, F

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:30:38.877679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 959a359b-9e0b-41eb-b983-6de5ea816eaa · outbound

This paper cites an unresolved cited work.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-08T04:30:38.857735Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation cccabc01-dd8c-4ec5-909e-c7ebe8e02711 · outbound

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

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework An Image is Worth 16x16 Words: Transformers for Image Recognition at Scale

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-08T04:30:36.868150Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b26c795a-1c3b-443e-973d-156e4e18b9cb · outbound

This paper cites Driggs, J.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Driggs, J

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:30:38.838883Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 608f2e02-855d-4c3c-9a96-3582f2928cbd · outbound

This paper cites Optimality, identifiability, and sensitivity.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Optimality, identifiability, and sensitivity

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-08T04:30:36.884047Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 77081630-a233-483a-a2ee-2691f9388572 · outbound

This paper cites an unresolved cited work.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-08T04:30:38.819411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 9ff38847-e9fc-4316-8dff-dba538e8db92 · outbound

This paper cites Gower, O.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Gower, O

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:30:38.801259Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 694d7fe8-e004-4c65-89e1-a976853869bc · outbound

This paper cites Gürbüzbalaban, A.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Gürbüzbalaban, A

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:30:38.779751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 8eba7415-eda9-4363-9578-dd6a8105a9e6 · outbound

This paper cites an unresolved cited work.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-08T04:30:36.908510Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 04a595b3-007f-4ede-98af-956885661665 · outbound

This paper cites an unresolved cited work.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-08T04:30:38.757726Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation d5a9027c-ef00-4077-8fbe-1474d07fc5ce · outbound

This paper cites Hastie, R.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Hastie, R

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:30:38.731844Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation e5e63797-8d54-4cc2-9ea1-2ff0c341c8a0 · outbound

This paper cites an unresolved cited work.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-08T04:30:38.712664Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation c4201110-457c-4296-87c6-c4e3be6147da · outbound

This paper cites On the local convergence of the semismooth Newton method for composite optimization.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework On the local convergence of the semismooth Newton method for composite optimization

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-08T04:30:36.932221Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 49ade2be-c9d7-4fa9-9f51-10446da1e219 · outbound

This paper cites an unresolved cited work.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-08T04:30:38.685788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation c5d90958-7f30-458b-9759-e8ee34f882d9 · outbound

This paper cites On Nonconvex Optimization for Machine Learning: Gradients, Stochasticity, and Saddle Points.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework On Nonconvex Optimization for Machine Learning: Gradients, Stochasticity, and Saddle Points

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-08T04:30:36.947932Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c598ddc3-a0e3-4498-bdee-71fd280de605 · outbound

This paper cites Johnson and T.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Johnson and T

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:30:38.663188Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 4fdb5c9e-955d-4845-b19c-e19367b6acb8 · outbound

This paper cites Proximal random reshuffling under local Lipschitz continuity.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Proximal random reshuffling under local Lipschitz continuity

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-08T04:30:36.963020Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ab5a663d-a72e-4c66-8bf3-229c45d6388e · outbound

This paper cites Kurdyka,On gradients of functions definable in o-minimal structures, Ann.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Kurdyka,On gradients of functions definable in o-minimal structures, Ann

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:30:38.641583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation fe7da77d-7345-4728-87a1-05907b7b2dda · outbound

This paper cites an unresolved cited work.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-08-08T04:30:38.614294Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 99afd1ab-eccc-4e43-9842-fa2697f7f8b2 · outbound

This paper cites an unresolved cited work.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Unresolved cited work

Reference 41

Resolution: unresolved; raw_fallback, observed 2026-08-08T04:30:38.595621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation aad43856-53f4-41c7-87c5-71f55806ba4b · outbound

This paper cites an unresolved cited work.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Unresolved cited work

Reference 42

Resolution: unresolved; raw_fallback, observed 2026-08-08T04:30:38.577828Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation b6ea30f7-a32d-480c-931b-0c6367eb34d9 · outbound

This paper cites an unresolved cited work.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Unresolved cited work

Reference 43

Resolution: unresolved; raw_fallback, observed 2026-08-08T04:30:38.560234Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 0da5bbcc-e8a0-40b2-8705-2f6bad601167 · outbound

This paper cites Li and A.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Li and A

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:30:38.541870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 70a6d3dd-6af8-4d04-bd61-9f7695d0d155 · outbound

This paper cites an unresolved cited work.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Unresolved cited work

Reference 45

Resolution: unresolved; raw_fallback, observed 2026-08-08T04:30:38.521861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 8628dad6-a99b-4342-b3a7-521c390b7fd5 · outbound

This paper cites Almost Sure Saddle Avoidance of Stochastic Gradient Methods without the Bounded Gradient Assumption.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Almost Sure Saddle Avoidance of Stochastic Gradient Methods without the Bounded Gradient Assumption

Reference 46

Resolution: verified exact; local_arxiv, observed 2026-08-08T04:30:37.636311Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation c16b3211-e05b-4627-9174-3fe2b3d7eccc · outbound

This paper cites an unresolved cited work.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Unresolved cited work

Reference 47

Resolution: unresolved; raw_fallback, observed 2026-08-08T04:30:38.501988Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 936f3030-0c9e-4bc8-867d-4a318210113b · outbound

This paper cites Mertikopoulos, N.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Mertikopoulos, N

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:30:38.482453Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation bac82405-f736-4fbf-95fe-212410d538c0 · outbound

This paper cites Mishchenko, A.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Mishchenko, A

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:30:38.455987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 42391db3-1c4e-439a-a6d5-cce593e52f90 · outbound

This paper cites A non-autonomous center-stable set theorem for saddle avoidance in optimization.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework A non-autonomous center-stable set theorem for saddle avoidance in optimization

Reference 50

Resolution: verified exact; local_arxiv, observed 2026-08-08T04:30:37.607536Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation b20c9fa9-0115-4495-ac1f-2556f56aa79f · outbound

This paper cites Nagaraj, P.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Nagaraj, P

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:30:38.433955Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 07b91468-1cc9-48d9-b05c-9c6f0c6a18d0 · outbound

This paper cites Nedić and A.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Nedić and A

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:30:38.405913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 2f5f7203-2dbd-437b-a6eb-7dd28b39da3b · outbound

This paper cites Nemirovski, A.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Nemirovski, A

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:30:38.385466Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 51257630-7d47-4c1b-aa90-0973369ecc52 · outbound

This paper cites an unresolved cited work.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Unresolved cited work

Reference 54

Resolution: unresolved; raw_fallback, observed 2026-08-08T04:30:38.362295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 731fe24a-27ba-47ec-a2d8-ada3b6eb40ae · outbound

This paper cites Variational Properties of Decomposable Functions. Part I: Strict Epi-Calculus and Applications.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Variational Properties of Decomposable Functions. Part I: Strict Epi-Calculus and Applications

Reference 55

Resolution: unresolved; no resolver link, observed 2026-08-08T04:30:37.087809Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1b16d17b-9922-43e0-b911-06d55dbad9d4 · outbound

This paper cites Program., 212 (2025), pp.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Program., 212 (2025), pp

Reference 56

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:30:38.334348Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation d7df597f-ef99-48fe-b495-d62b4c115ee2 · outbound

This paper cites Panageas, G.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Panageas, G

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:30:38.313170Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 0000f9f7-3db3-4c25-8189-fe292d080527 · outbound

This paper cites Paszke, S.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Paszke, S

Reference 58

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:30:38.293417Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 6d5779d0-d978-435f-bd6a-f208c1865913 · outbound

This paper cites Pemantle,Nonconvergence to unstable points in urn models and stochastic approximations, Ann.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Pemantle,Nonconvergence to unstable points in urn models and stochastic approximations, Ann

Reference 59

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:30:38.274899Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 1feb43f6-707c-4597-ad9a-04252013a316 · outbound

This paper cites an unresolved cited work.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Unresolved cited work

Reference 61

Resolution: unresolved; no resolver link, observed 2026-08-08T04:30:37.116417Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a910fb73-bef2-4535-b4a0-313e53a11fb9 · outbound

This paper cites an unresolved cited work.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Unresolved cited work

Reference 62

Resolution: unresolved; raw_fallback, observed 2026-08-08T04:30:38.251558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation cf5e8be9-4ce8-4d48-899d-8366cf8f5df8 · outbound

This paper cites Random Reshuffling with Momentum: Complexity Bounds and Last-iterate Convergence.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Random Reshuffling with Momentum: Complexity Bounds and Last-iterate Convergence

Reference 63

Resolution: unresolved; no resolver link, observed 2026-08-08T04:30:37.127512Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b4776306-c181-4164-996d-63b089ea8c26 · outbound

This paper cites Rajput, A.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Rajput, A

Reference 64

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:30:38.223849Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 618f9159-16e2-4a6f-8864-d1423c31cd91 · outbound

This paper cites Robbins and S.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Robbins and S

Reference 65

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:30:38.201518Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 40d61ec3-cd65-4125-91e2-b6fae83aff26 · outbound

This paper cites an unresolved cited work.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Unresolved cited work

Reference 66

Resolution: unresolved; raw_fallback, observed 2026-08-08T04:30:38.174371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 85ea03bc-f3a8-4708-b716-473bdd58d80b · outbound

This paper cites an unresolved cited work.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Unresolved cited work

Reference 67

Resolution: unresolved; raw_fallback, observed 2026-08-08T04:30:38.145253Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation f39b79eb-185b-4c28-a6f8-ca0b91fd8b9f · outbound

This paper cites an unresolved cited work.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Unresolved cited work

Reference 68

Resolution: unresolved; raw_fallback, observed 2026-08-08T04:30:38.113454Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 32908f70-4ec9-4ed3-9233-4429dcae38e1 · outbound

This paper cites How Good is SGD with Random Shuffling?.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework How Good is SGD with Random Shuffling?

Reference 69

Resolution: verified exact; local_arxiv, observed 2026-08-08T04:30:37.371419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation b0092ae5-d3d6-4e5b-b50e-5e734b9db48c · outbound

This paper cites Fast Convergence of Stochastic Gradient Descent under a Strong Growth Condition.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Fast Convergence of Stochastic Gradient Descent under a Strong Growth Condition

Reference 70

Resolution: unresolved; no resolver link, observed 2026-08-08T04:30:37.169433Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4bd345a8-b0dd-4ec8-a96f-eeca0633f5a5 · outbound

This paper cites When Are Nonconvex Problems Not Scary?.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework When Are Nonconvex Problems Not Scary?

Reference 71

Resolution: unresolved; no resolver link, observed 2026-08-08T04:30:37.176306Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 34c7be5b-a634-4ad5-b2d6-060f9c130174 · outbound

This paper cites A Geometric Analysis of Phase Retrieval.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework A Geometric Analysis of Phase Retrieval

Reference 72

Resolution: unresolved; no resolver link, observed 2026-08-08T04:30:37.182543Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f6e45729-c402-404e-a790-158480be3d28 · outbound

This paper cites an unresolved cited work.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Unresolved cited work

Reference 73

Resolution: unresolved; raw_fallback, observed 2026-08-08T04:30:38.091548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 66e56ef9-830b-4132-8d9c-cac6bf7e72cc · outbound

This paper cites Sutskever, J.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Sutskever, J

Reference 74

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:30:38.066057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 3f8adf51-425b-4408-9fd4-4b16f530cb95 · outbound

This paper cites an unresolved cited work.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Unresolved cited work

Reference 75

Resolution: unresolved; raw_fallback, observed 2026-08-08T04:30:38.043501Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 37a30177-aa5c-4b90-bbe6-8044e3316aff · outbound

This paper cites V an den Dries,Tame topology and o-minimal structures, Cambridge University Press, 1998.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework V an den Dries,Tame topology and o-minimal structures, Cambridge University Press, 1998

Reference 76

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:30:38.018626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation b113a3cd-d03b-4374-baa2-196ca38af9a7 · outbound

This paper cites V anderbauwhede,Centre Manifolds, Normal Forms and Elementary Bifurcations, Vieweg+Teubner Verlag, Wiesbaden, 1989, pp.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework V anderbauwhede,Centre Manifolds, Normal Forms and Elementary Bifurcations, Vieweg+Teubner Verlag, Wiesbaden, 1989, pp

Reference 77

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:30:37.991890Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 23d0be7b-94ba-47b8-b182-dbd67a5c570f · outbound

This paper cites V asw ani, F.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework V asw ani, F

Reference 78

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:30:37.966674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 1bba9264-2c27-4fa0-bfd6-8045afbe7e20 · outbound

This paper cites an unresolved cited work.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Unresolved cited work

Reference 79

Resolution: unresolved; raw_fallback, observed 2026-08-08T04:30:37.942982Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 3336c738-8649-4a8e-8fef-f31004ab2829 · outbound

This paper cites Xiao and T.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework Xiao and T

Reference 80

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:30:37.919031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation e00fb817-aa82-4946-a329-0a6833aa1bac · outbound

This paper cites High Probability Guarantees for Random Reshuffling.

Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Framework High Probability Guarantees for Random Reshuffling

Reference 81

Resolution: unresolved; no resolver link, observed 2026-08-08T04:30:37.231943Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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