Paper Citation Record · LEDGER

Empirical sparse regression on quadratic manifolds

As of 19 August 2026, this Paper Citation Record lists 55 of 55 outbound references and 3 inbound Pith citation observations for arXiv:2412.09746.

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

pith.paper-citation-record.v1
2412.09746 v1

Coverage vector

measured 55 of 55 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T16:53:50.161823Z

measured 58 of 58 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T17:51:47.974118Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-11T05:20:03.602763Z

Reference resolution

55 of 55 outbound references displayed

verified exact2
verified fuzzy45
unresolved8
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5ecb1109-d857-4e3f-9585-7d1612f59957 · outbound

This paper cites Amsallem, M.

Empirical sparse regression on quadratic manifolds Amsallem, M

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:53:51.007399Z

Source-reported events for the cited work

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Observation f01e60b5-f468-4c25-be77-cc20b2b7983a · outbound

This paper cites Anand and E.

Empirical sparse regression on quadratic manifolds Anand and E

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:53:50.991250Z

Source-reported events for the cited work

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Observation 5411f059-e399-41da-afdc-a062eee31d9b · outbound

This paper cites Argaud, B.

Empirical sparse regression on quadratic manifolds Argaud, B

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:53:50.976433Z

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Observation 9aea3024-c30a-4e2b-ab2a-eaf84e4e32b8 · outbound

This paper cites Astrid, S.

Empirical sparse regression on quadratic manifolds Astrid, S

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:53:50.962035Z

Source-reported events for the cited work

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Observation 9aadd302-595c-4cb2-b537-74c530979be7 · outbound

This paper cites Astrid, S.

Empirical sparse regression on quadratic manifolds Astrid, S

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:53:50.932958Z

Source-reported events for the cited work

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Observation 2a45590d-c62c-44af-a378-e3082adcd0ae · outbound

This paper cites Barnett and C.

Empirical sparse regression on quadratic manifolds Barnett and C

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:53:50.919418Z

Source-reported events for the cited work

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Observation 3a02ed72-fc7e-4b99-89e6-2cf4b90ef07e · outbound

This paper cites Barnett, C.

Empirical sparse regression on quadratic manifolds Barnett, C

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:53:50.905129Z

Source-reported events for the cited work

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Observation 15586eb3-3a89-423a-be53-792a627bf94f · outbound

This paper cites Barrault, Y.

Empirical sparse regression on quadratic manifolds Barrault, Y

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:53:50.890180Z

Source-reported events for the cited work

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Observation 265d4855-0989-4356-a988-ce6b29f92782 · outbound

This paper cites Benner, P.

Empirical sparse regression on quadratic manifolds Benner, P

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:53:50.876390Z

Source-reported events for the cited work

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Observation 95654449-4e8c-47cb-88f6-3287e750c2d4 · outbound

This paper cites Berman and B.

Empirical sparse regression on quadratic manifolds Berman and B

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:53:50.861970Z

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Observation 119c652e-00ed-4c06-8616-da3dc362a886 · outbound

This paper cites Binev, A.

Empirical sparse regression on quadratic manifolds Binev, A

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:53:50.847421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 83384bbd-30a2-4b83-ae4f-24b20354bbcf · outbound

This paper cites Investigations on Projection-Based Reduced Order Model Development for Rotating Detonation Engine.

Empirical sparse regression on quadratic manifolds Investigations on Projection-Based Reduced Order Model Development for Rotating Detonation Engine

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-11T16:53:50.261828Z

Source-reported events for the cited work

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Observation 90f6e571-1a68-4be6-b9d8-74419329d78d · outbound

This paper cites Carlberg, C.

Empirical sparse regression on quadratic manifolds Carlberg, C

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:53:50.833131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c747ada3-212b-4213-bc9f-9267df8a30dd · outbound

This paper cites Chaturantabut, C.

Empirical sparse regression on quadratic manifolds Chaturantabut, C

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:53:50.818492Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 39d3a542-9e99-42fd-854b-2d28746c3ff2 · outbound

This paper cites Chaturantabut and D.

Empirical sparse regression on quadratic manifolds Chaturantabut and D

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:53:50.803920Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 62831c0d-53bb-4e3a-8c85-62d41e3bcdaa · outbound

This paper cites Discrete empirical interpolation in the tensor t-product framework.

Empirical sparse regression on quadratic manifolds Discrete empirical interpolation in the tensor t-product framework

Reference 16

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Source-reported events for the cited work

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Observation 66ab7da6-4836-40c9-bccc-009bf872c74a · outbound

This paper cites Drmaˇc and S.

Empirical sparse regression on quadratic manifolds Drmaˇc and S

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:53:50.789559Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b413dafc-74eb-455c-876c-ce1e9fe27891 · outbound

This paper cites Drmaˇc and A.

Empirical sparse regression on quadratic manifolds Drmaˇc and A

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:53:50.775268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b7b94b28-6287-4263-88ae-cf9235e11575 · outbound

This paper cites an unresolved cited work.

Empirical sparse regression on quadratic manifolds Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-11T16:53:50.760838Z

Source-reported events for the cited work

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Observation 4edffa6c-76e9-4726-ac58-bcb96f58cce8 · outbound

This paper cites Everson and L.

Empirical sparse regression on quadratic manifolds Everson and L

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:53:50.746689Z

Source-reported events for the cited work

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Observation 04f19522-29af-4f1a-911e-59aa9f2be821 · outbound

This paper cites F arhat, P.

Empirical sparse regression on quadratic manifolds F arhat, P

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:53:50.731969Z

Source-reported events for the cited work

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Observation 5294e95c-e5ba-4f4c-b8a1-3bd5ab8f0b23 · outbound

This paper cites F arhat, T.

Empirical sparse regression on quadratic manifolds F arhat, T

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:53:50.717541Z

Source-reported events for the cited work

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Observation d857c74d-58a1-4885-b453-97add59ae0c9 · outbound

This paper cites Geelen, L.

Empirical sparse regression on quadratic manifolds Geelen, L

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:53:50.703538Z

Source-reported events for the cited work

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Observation ecd8c957-4988-42d3-9d98-1f4a233114b9 · outbound

This paper cites Geelen, L.

Empirical sparse regression on quadratic manifolds Geelen, L

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:53:50.689354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c4a44f9a-bc28-4701-9c76-20c301be56e3 · outbound

This paper cites Geelen, S.

Empirical sparse regression on quadratic manifolds Geelen, S

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:53:50.675202Z

Source-reported events for the cited work

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Observation 563cbfbc-c6c0-44c1-b6df-a5378b302aba · outbound

This paper cites Goyal and P.

Empirical sparse regression on quadratic manifolds Goyal and P

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:53:50.660963Z

Source-reported events for the cited work

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Observation ed936d4f-d2f4-45b5-b47a-97e7a87d112c · outbound

This paper cites G¨uc ¸l¨u, A.

Empirical sparse regression on quadratic manifolds G¨uc ¸l¨u, A

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:53:50.646850Z

Source-reported events for the cited work

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Observation 8551c25b-6055-4d17-8fae-5a37a5491915 · outbound

This paper cites an unresolved cited work.

Empirical sparse regression on quadratic manifolds Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-11T16:53:50.632265Z

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Observation af1027f0-e102-45b3-91a6-3d557a7b8788 · outbound

This paper cites an unresolved cited work.

Empirical sparse regression on quadratic manifolds Unresolved cited work

Reference 29

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Observation 8289c806-c3b8-4827-ab44-17f9c9f802ab · outbound

This paper cites an unresolved cited work.

Empirical sparse regression on quadratic manifolds Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-11T16:53:50.602586Z

Source-reported events for the cited work

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Observation 287a0b85-5e01-46bf-bef1-a82655a248e2 · outbound

This paper cites Maday and O.

Empirical sparse regression on quadratic manifolds Maday and O

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:53:50.587465Z

Source-reported events for the cited work

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Observation fd6aa809-d8c0-4f3f-93d4-583d3a8158c7 · outbound

This paper cites Maday, O.

Empirical sparse regression on quadratic manifolds Maday, O

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:53:50.572773Z

Source-reported events for the cited work

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Observation 70e47647-2f44-4bd4-9089-397833a46aa5 · outbound

This paper cites Maday, O.

Empirical sparse regression on quadratic manifolds Maday, O

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:53:50.558577Z

Source-reported events for the cited work

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Observation 6236c6bf-cc1f-4e16-b80a-ff0e3dfd6490 · outbound

This paper cites Manohar, B.

Empirical sparse regression on quadratic manifolds Manohar, B

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:53:50.544601Z

Source-reported events for the cited work

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Observation f3629e4f-3dd7-4e97-bcf8-213e7ea40921 · outbound

This paper cites Manohar, S.

Empirical sparse regression on quadratic manifolds Manohar, S

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:53:50.529819Z

Source-reported events for the cited work

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Observation 7aa778cd-e576-40c3-828f-8eb5eb2eeeea · outbound

This paper cites Pagliantini and F.

Empirical sparse regression on quadratic manifolds Pagliantini and F

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:53:50.514692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d6a3de67-e8f3-42a0-9971-3b3a520b445c · outbound

This paper cites Peherstorfer , Model reduction for transport-dominated problems via online adaptive bases and adaptive sampling , SIAM J.

Empirical sparse regression on quadratic manifolds Peherstorfer , Model reduction for transport-dominated problems via online adaptive bases and adaptive sampling , SIAM J

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:53:50.500119Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d4b3e0c3-7c3a-48d1-ae7a-3a59b395b5d4 · outbound

This paper cites Peherstorfer, Breaking the Kolmogorov barrier with nonlinear model reduc- tion, Notices Amer.

Empirical sparse regression on quadratic manifolds Peherstorfer, Breaking the Kolmogorov barrier with nonlinear model reduc- tion, Notices Amer

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:53:50.485233Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 9d490bff-4cbd-4cf5-a470-f29078051cc5 · outbound

This paper cites Peherstorfer, D.

Empirical sparse regression on quadratic manifolds Peherstorfer, D

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:53:50.469176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1d24c9de-3035-49b5-bc34-b04c0cdc7e6e · outbound

This paper cites Peherstorfer, Z.

Empirical sparse regression on quadratic manifolds Peherstorfer, Z

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:53:50.453980Z

Source-reported events for the cited work

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Observation 37775645-6308-4aa6-99ff-f4baa13927a2 · outbound

This paper cites Peherstorfer and K.

Empirical sparse regression on quadratic manifolds Peherstorfer and K

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:53:50.439353Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f5d70373-0261-41a3-97bb-f61dc9465461 · outbound

This paper cites Raman, S.

Empirical sparse regression on quadratic manifolds Raman, S

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:53:50.424490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8fe8d534-1876-42b7-bd1f-e6d4ea41da82 · outbound

This paper cites Rutzmoser, D.

Empirical sparse regression on quadratic manifolds Rutzmoser, D

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:53:50.409082Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2cc747b1-45a6-48e7-b94a-77d8952c1d0e · outbound

This paper cites an unresolved cited work.

Empirical sparse regression on quadratic manifolds Unresolved cited work

Reference 44

Resolution: unresolved; raw_fallback, observed 2026-08-11T16:53:50.393023Z

Source-reported events for the cited work

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Observation b82a47f0-2518-4554-95e5-7e9bd3d7e4fb · outbound

This paper cites Sargsyan, S.

Empirical sparse regression on quadratic manifolds Sargsyan, S

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:53:50.377895Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 14067170-dd2c-4db8-bf18-8a59f2bc66f1 · outbound

This paper cites Online learning of quadratic manifolds from streaming data for nonlinear dimensionality reduction and nonlinear model reduction.

Empirical sparse regression on quadratic manifolds Online learning of quadratic manifolds from streaming data for nonlinear dimensionality reduction and nonlinear model reduction

Reference 46

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Source-reported events for the cited work

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Observation af73d353-2fc7-4c73-8200-1aa62bf3ef83 · outbound

This paper cites Greedy construction of quadratic manifolds for nonlinear dimensionality reduction and nonlinear model reduction.

Empirical sparse regression on quadratic manifolds Greedy construction of quadratic manifolds for nonlinear dimensionality reduction and nonlinear model reduction

Reference 47

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Source-reported events for the cited work

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Observation e68984a2-58c1-464a-82e6-02ac7b5689f3 · outbound

This paper cites Sharma, H.

Empirical sparse regression on quadratic manifolds Sharma, H

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:53:50.363257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 31435750-456e-4591-ac4d-06decc827d36 · outbound

This paper cites Shin and D.

Empirical sparse regression on quadratic manifolds Shin and D

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:53:50.347982Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 083a85de-dac8-4299-a1fa-4ca5830ab79b · outbound

This paper cites Singh, W.

Empirical sparse regression on quadratic manifolds Singh, W

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:53:50.333257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d0760d0f-5885-4242-9345-e9db8cc39d3a · outbound

This paper cites an unresolved cited work.

Empirical sparse regression on quadratic manifolds Unresolved cited work

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-11T16:53:50.148333Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6622b09f-d7e0-4ff1-b3bc-c03183da3f25 · outbound

This paper cites Willcox, Unsteady flow sensing and estimation via the gappy proper orthogonal decomposition, Comput.

Empirical sparse regression on quadratic manifolds Willcox, Unsteady flow sensing and estimation via the gappy proper orthogonal decomposition, Comput

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:53:50.308120Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 827b040c-bec2-4190-b63f-4bb06b3a27bc · outbound

This paper cites Zimmermann, B.

Empirical sparse regression on quadratic manifolds Zimmermann, B

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:53:50.292789Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 245a5835-e22d-483c-a5a5-d2e9e97e04b2 · outbound

This paper cites Zimmermann and K.

Empirical sparse regression on quadratic manifolds Zimmermann and K

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:53:50.277342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d0fe79da-4061-4878-aab6-21adcbcd2f0f · outbound

This paper cites 43rd IEEE Conference on, vol.

Empirical sparse regression on quadratic manifolds 43rd IEEE Conference on, vol

Reference 2004

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:53:50.947522Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

Observation f5845be9-7230-416d-9ef1-5c69c91e2357 · inbound

Nonlinear model reduction with Neural Galerkin schemes on quadratic manifolds cites this paper.

Nonlinear model reduction with Neural Galerkin schemes on quadratic manifolds Empirical sparse regression on quadratic manifolds

Reference 40

Resolution: verified exact; local_arxiv, observed 2026-08-11T05:20:03.610704Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 9c19dcac-a297-4e4c-b85e-d3153017352c · inbound

Operator Inference Aware Quadratic Manifolds with Isotropic Reduced Coordinates for Nonintrusive Model Reduction cites this paper.

Operator Inference Aware Quadratic Manifolds with Isotropic Reduced Coordinates for Nonintrusive Model Reduction Empirical sparse regression on quadratic manifolds

Reference 57

Resolution: unresolved; no resolver link, observed 2026-08-15T17:51:47.974118Z

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A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs cites this paper.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Empirical sparse regression on quadratic manifolds

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