Paper Citation Record · LEDGER

Neural Network-based High-index Saddle Dynamics Method for Searching Saddle Points and Solution Landscape

As of 23 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 0 inbound Pith citation observations for arXiv:2411.16200.

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

pith.paper-citation-record.v1
2411.16200 v1

Coverage vector

measured 49 of 49 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T13:30:52.371794Z

measured 49 of 49 standing notices

One-hop event checks from named stored sources.

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measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

49 of 49 outbound references displayed

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External citation measurements

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Outbound references

Observation 1387cca6-ab23-4133-824a-e7372b6f9727 · outbound

This paper cites B aydin, B.

Neural Network-based High-index Saddle Dynamics Method for Searching Saddle Points and Solution Landscape B aydin, B

Reference 1

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Observation e56f031b-b158-4b0b-b73b-c194ae6dcf23 · outbound

This paper cites B onfanti and W.

Neural Network-based High-index Saddle Dynamics Method for Searching Saddle Points and Solution Landscape B onfanti and W

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:30:53.329001Z

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Observation 92e4ea68-975b-4f72-bda5-ae5285c07e76 · outbound

This paper cites B urton, G.

Neural Network-based High-index Saddle Dynamics Method for Searching Saddle Points and Solution Landscape B urton, G

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:30:53.314832Z

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Observation 026a5f46-6924-4625-85a3-cce557ece69f · outbound

This paper cites C heng, L.

Neural Network-based High-index Saddle Dynamics Method for Searching Saddle Points and Solution Landscape C heng, L

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:30:53.301831Z

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Observation 41c7b82c-9bb2-49bb-a6a1-73369f2e7589 · outbound

This paper cites C ybenko, Approximation by superpositions of a sigmoidal function, Mathematics of Control, Signals and Systems, 2 (1989), pp.

Neural Network-based High-index Saddle Dynamics Method for Searching Saddle Points and Solution Landscape C ybenko, Approximation by superpositions of a sigmoidal function, Mathematics of Control, Signals and Systems, 2 (1989), pp

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:30:53.286478Z

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Observation c440719d-a0a9-43e8-8941-64e38a7dda3d · outbound

This paper cites D aneshmand, J.

Neural Network-based High-index Saddle Dynamics Method for Searching Saddle Points and Solution Landscape D aneshmand, J

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:30:53.267149Z

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Observation 68f89d67-27d1-4596-82f3-33540792ee13 · outbound

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Neural Network-based High-index Saddle Dynamics Method for Searching Saddle Points and Solution Landscape Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-12T13:30:53.249982Z

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Observation 60b94abe-68c2-4ff2-ae71-61553f1ac443 · outbound

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Neural Network-based High-index Saddle Dynamics Method for Searching Saddle Points and Solution Landscape Unresolved cited work

Reference 8

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Observation 0a89db6d-15b2-4b43-8984-80e194157e5b · outbound

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Neural Network-based High-index Saddle Dynamics Method for Searching Saddle Points and Solution Landscape Unresolved cited work

Reference 9

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Observation 59d1b6fd-d963-47af-b5b0-442b958783f9 · outbound

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Neural Network-based High-index Saddle Dynamics Method for Searching Saddle Points and Solution Landscape Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-12T13:30:53.168969Z

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Observation 1b40e239-e58a-4b18-ae2a-93c78fc65ddd · outbound

This paper cites Semi-flat minima and saddle points by embedding neural networks to overparameterization.

Neural Network-based High-index Saddle Dynamics Method for Searching Saddle Points and Solution Landscape Semi-flat minima and saddle points by embedding neural networks to overparameterization

Reference 11

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Source-reported events for the cited work

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Observation ebe87dbe-c1e6-400f-ad0c-6c6368fb368c · outbound

This paper cites G ould, C.

Neural Network-based High-index Saddle Dynamics Method for Searching Saddle Points and Solution Landscape G ould, C

Reference 12

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Reference 13

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Neural Network-based High-index Saddle Dynamics Method for Searching Saddle Points and Solution Landscape Unresolved cited work

Reference 14

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Neural Network-based High-index Saddle Dynamics Method for Searching Saddle Points and Solution Landscape Unresolved cited work

Reference 15

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Observation 39ff5b9a-3f9c-4294-b3f4-16ad2922db9f · outbound

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Neural Network-based High-index Saddle Dynamics Method for Searching Saddle Points and Solution Landscape Unresolved cited work

Reference 16

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Observation 8962efe9-a7be-4708-8084-9ced0fc9924b · outbound

This paper cites H eidrich and W.

Neural Network-based High-index Saddle Dynamics Method for Searching Saddle Points and Solution Landscape H eidrich and W

Reference 17

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Observation 590e367e-1106-48c4-ad80-2323796642d4 · outbound

This paper cites H enkelman and H.

Neural Network-based High-index Saddle Dynamics Method for Searching Saddle Points and Solution Landscape H enkelman and H

Reference 18

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Observation e71244e8-1964-432f-9f6d-7af78bf297cd · outbound

This paper cites H ornik, Approximation capabilities of multilayer feedforward networks , Neural Networks, 4 (1991), pp.

Neural Network-based High-index Saddle Dynamics Method for Searching Saddle Points and Solution Landscape H ornik, Approximation capabilities of multilayer feedforward networks , Neural Networks, 4 (1991), pp

Reference 19

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Observation 81df1c41-e583-494c-8625-163d73631865 · outbound

This paper cites H ornik, M.

Neural Network-based High-index Saddle Dynamics Method for Searching Saddle Points and Solution Landscape H ornik, M

Reference 20

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Observation 15f047b0-1ac7-470d-b277-2dc9c2b639f8 · outbound

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Neural Network-based High-index Saddle Dynamics Method for Searching Saddle Points and Solution Landscape Unresolved cited work

Reference 21

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Observation aaa857fd-6b6f-473b-ae72-af147bba2f78 · outbound

This paper cites K ingma and J.

Neural Network-based High-index Saddle Dynamics Method for Searching Saddle Points and Solution Landscape K ingma and J

Reference 22

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Neural Network-based High-index Saddle Dynamics Method for Searching Saddle Points and Solution Landscape Unresolved cited work

Reference 23

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Observation 46c4ada8-dc98-4bd1-9cb2-0d5c0f46471d · outbound

This paper cites Li and J.

Neural Network-based High-index Saddle Dynamics Method for Searching Saddle Points and Solution Landscape Li and J

Reference 24

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Observation 195f9c24-0734-4c45-83e8-2de946391f1f · outbound

This paper cites L ongsine and S.

Neural Network-based High-index Saddle Dynamics Method for Searching Saddle Points and Solution Landscape L ongsine and S

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:30:52.883969Z

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Observation e744b448-9722-4ce4-b3cf-5fa23b1ab9ae · outbound

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Neural Network-based High-index Saddle Dynamics Method for Searching Saddle Points and Solution Landscape Unresolved cited work

Reference 26

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Observation d21860eb-f188-4396-b46a-717c9ede926d · outbound

This paper cites Accelerated high-index saddle dynamics method for searching high-index saddle points.

Neural Network-based High-index Saddle Dynamics Method for Searching Saddle Points and Solution Landscape Accelerated high-index saddle dynamics method for searching high-index saddle points

Reference 27

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Observation 98147b4b-2c5e-4f47-882b-220ddbb723e3 · outbound

This paper cites M ehta, Finding all the stationary points of a potential-energy landscape via numerical polynomial- homotopy-continuation method, Physical Review E, 84 (2011), p.

Neural Network-based High-index Saddle Dynamics Method for Searching Saddle Points and Solution Landscape M ehta, Finding all the stationary points of a potential-energy landscape via numerical polynomial- homotopy-continuation method, Physical Review E, 84 (2011), p

Reference 28

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Observation f94efa48-df04-4938-85cc-78799485135f · outbound

This paper cites M ilnor, Morse Theory.

Neural Network-based High-index Saddle Dynamics Method for Searching Saddle Points and Solution Landscape M ilnor, Morse Theory

Reference 29

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Observation 75d92064-4eea-4ff2-9f81-39ce87d57680 · outbound

This paper cites Mironov, Y.

Neural Network-based High-index Saddle Dynamics Method for Searching Saddle Points and Solution Landscape Mironov, Y

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:30:52.817331Z

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Observation ee3e89e2-e580-4fdd-acf3-3be5a9dcfe6b · outbound

This paper cites Nesterov, A method for solving the convex programming problem with convergence rate o(1/k2), Proceed- ings of the USSR Academy of Sciences, 269 (1983), pp.

Neural Network-based High-index Saddle Dynamics Method for Searching Saddle Points and Solution Landscape Nesterov, A method for solving the convex programming problem with convergence rate o(1/k2), Proceed- ings of the USSR Academy of Sciences, 269 (1983), pp

Reference 31

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Observation 6756aac4-b0dc-42a5-b4a1-1cf4bb03e178 · outbound

This paper cites O’D onoghue and E.

Neural Network-based High-index Saddle Dynamics Method for Searching Saddle Points and Solution Landscape O’D onoghue and E

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:30:52.785934Z

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Observation 672b693a-1d4c-4cb0-ba40-594936f9516c · outbound

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Neural Network-based High-index Saddle Dynamics Method for Searching Saddle Points and Solution Landscape Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-12T13:30:52.764533Z

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Observation c533eadb-b877-4fa1-943e-6de3b666bb76 · outbound

This paper cites P oly ak, Some methods of speeding up the convergence of iteration methods , Ussr Computational Mathe- matics and Mathematical Physics, 4 (1964), pp.

Neural Network-based High-index Saddle Dynamics Method for Searching Saddle Points and Solution Landscape P oly ak, Some methods of speeding up the convergence of iteration methods , Ussr Computational Mathe- matics and Mathematical Physics, 4 (1964), pp

Reference 34

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This paper cites https: //pytorch.org/docs/stable/generated/torch.optim.lr scheduler.StepLR.html, 2023.

Neural Network-based High-index Saddle Dynamics Method for Searching Saddle Points and Solution Landscape https: //pytorch.org/docs/stable/generated/torch.optim.lr scheduler.StepLR.html, 2023

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:30:52.711545Z

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Observation 2a59204e-aa13-4c82-92ed-2096000efd0b · outbound

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Neural Network-based High-index Saddle Dynamics Method for Searching Saddle Points and Solution Landscape Unresolved cited work

Reference 36

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Observation a16c4a8a-0fb9-4aa8-abf6-cf3ee6325c75 · outbound

This paper cites S amanta, M.

Neural Network-based High-index Saddle Dynamics Method for Searching Saddle Points and Solution Landscape S amanta, M

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:30:52.664156Z

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Observation 8eca8a5c-0088-40fa-894c-141a67210ee1 · outbound

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Neural Network-based High-index Saddle Dynamics Method for Searching Saddle Points and Solution Landscape Unresolved cited work

Reference 38

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Observation 35cc29f5-41e9-40e1-9f6a-3c4fd74e4ba6 · outbound

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Neural Network-based High-index Saddle Dynamics Method for Searching Saddle Points and Solution Landscape Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-12T13:30:52.635651Z

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Observation deac3aa4-60a5-431a-b1bf-47a35ec3c946 · outbound

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Neural Network-based High-index Saddle Dynamics Method for Searching Saddle Points and Solution Landscape W ang, L

Reference 40

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Neural Network-based High-index Saddle Dynamics Method for Searching Saddle Points and Solution Landscape Wang and J

Reference 41

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Observation 69806f47-41dc-4c2f-9903-e297262540c8 · outbound

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Reference 42

Resolution: unresolved; raw_fallback, observed 2026-08-12T13:30:52.595680Z

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Observation 1c810366-ed6f-4658-a24a-742145adcd3d · outbound

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Neural Network-based High-index Saddle Dynamics Method for Searching Saddle Points and Solution Landscape Unresolved cited work

Reference 43

Resolution: unresolved; raw_fallback, observed 2026-08-12T13:30:52.579200Z

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Observation e649b79b-9e6e-471f-9ae5-086bc7fdb716 · outbound

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Neural Network-based High-index Saddle Dynamics Method for Searching Saddle Points and Solution Landscape Unresolved cited work

Reference 44

Resolution: unresolved; raw_fallback, observed 2026-08-12T13:30:52.564628Z

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Observation b71d28de-d43e-4124-bd8f-3fcc0344228e · outbound

This paper cites an unresolved cited work.

Neural Network-based High-index Saddle Dynamics Method for Searching Saddle Points and Solution Landscape Unresolved cited work

Reference 45

Resolution: unresolved; raw_fallback, observed 2026-08-12T13:30:52.549387Z

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Observation e8b08f19-b048-42a4-83e6-d4606f264018 · outbound

This paper cites an unresolved cited work.

Neural Network-based High-index Saddle Dynamics Method for Searching Saddle Points and Solution Landscape Unresolved cited work

Reference 46

Resolution: unresolved; raw_fallback, observed 2026-08-12T13:30:52.524314Z

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Observation e51bdc59-d18b-41ac-b186-83587a0a349a · outbound

This paper cites an unresolved cited work.

Neural Network-based High-index Saddle Dynamics Method for Searching Saddle Points and Solution Landscape Unresolved cited work

Reference 47

Resolution: unresolved; raw_fallback, observed 2026-08-12T13:30:52.503112Z

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Observation 6395d674-ea57-4212-928f-37c80d06abcf · outbound

This paper cites Z hang, L.-Q.

Neural Network-based High-index Saddle Dynamics Method for Searching Saddle Points and Solution Landscape Z hang, L.-Q

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:30:52.484929Z

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Observation 507ba011-6286-4771-8c00-684b161e09f6 · outbound

This paper cites Z hou, L.

Neural Network-based High-index Saddle Dynamics Method for Searching Saddle Points and Solution Landscape Z hou, L

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:30:52.467962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Pith citing papers

No inbound Pith citation observations are available.