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Paper Citation Record · LEDGER

Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach

As of 18 August 2026, this Paper Citation Record lists 56 of 56 outbound references and 0 inbound Pith citation observations for arXiv:2506.05245.

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

pith.paper-citation-record.v1
2506.05245 v1

Coverage vector

measured 56 of 56 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:29:46.333747Z

measured 56 of 56 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.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

56 of 56 outbound references displayed

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External citation measurements

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Outbound references

Observation bf1e0c49-1073-4791-afc2-0e25ba8ab36f · outbound

This paper cites Sulem and P.L.

Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach Sulem and P.L

Reference 1

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Observation 07d486af-f245-4d0d-82db-0658e0d706d5 · outbound

This paper cites Ablowitz, B.

Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach Ablowitz, B

Reference 2

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Observation c3849fe3-0a6d-4f6e-bbfc-c0664c63220b · outbound

This paper cites an unresolved cited work.

Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach Unresolved cited work

Reference 3

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Observation 87d654b7-b6bb-4eb9-b9a9-7f37a8c495bf · outbound

This paper cites Hasegawa and Y.

Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach Hasegawa and Y

Reference 4

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Observation 7f4ae526-4261-4ac2-b3b5-9f2f22b2e8ae · outbound

This paper cites Pitaevskii and S.

Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach Pitaevskii and S

Reference 5

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Observation 1bf64ff4-2ca4-4284-af03-f3980a9b538d · outbound

This paper cites an unresolved cited work.

Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach Unresolved cited work

Reference 6

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This paper cites an unresolved cited work.

Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach Unresolved cited work

Reference 7

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Observation c781577a-4b53-4875-abe3-c99e5f98be43 · outbound

This paper cites Kono and M.M.

Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach Kono and M.M

Reference 8

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 8b3cf7f2-387b-4c4d-9091-2653ba8286d6 · outbound

This paper cites Infeld and G.

Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach Infeld and G

Reference 9

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Observation 152c4027-3ca6-4b92-9da4-037be4a21dec · outbound

This paper cites Ablowitz.

Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach Ablowitz

Reference 10

Resolution
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Source-reported events for the cited work

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Observation 0da3553a-a3cf-4d64-beba-409c5cdb0599 · outbound

This paper cites Peyrard and A.

Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach Peyrard and A

Reference 11

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Observation c767ad50-e0f8-46be-a118-9db1d6a3f6cc · outbound

This paper cites an unresolved cited work.

Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach Unresolved cited work

Reference 12

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Observation fe6e187d-7d84-48be-a20e-fa324a604f20 · outbound

This paper cites Existence and stabil ity of quasiperiodic breathers in the discrete nonlinear schr¨ odinger equation.

Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach Existence and stabil ity of quasiperiodic breathers in the discrete nonlinear schr¨ odinger equation

Reference 13

Resolution
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This paper cites Growth and decay of di screte nonlinear schr¨ odinger breathers interacting with internal modes or standing-wav e phonons.

Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach Growth and decay of di screte nonlinear schr¨ odinger breathers interacting with internal modes or standing-wav e phonons

Reference 14

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Observation 2d53c725-dbb9-4dfc-9519-78d702179f47 · outbound

This paper cites an unresolved cited work.

Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach Unresolved cited work

Reference 15

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Observation 921a97ab-3a5f-4a92-b305-e686633097af · outbound

This paper cites an unresolved cited work.

Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach Unresolved cited work

Reference 16

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Observation 32ef6c70-a5ae-419d-84fa-23bbcced82ee · outbound

This paper cites Front propagation in heterogeneous media.

Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach Front propagation in heterogeneous media

Reference 17

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Observation f9365a4f-7166-4ef1-b673-b8c43b440a2f · outbound

This paper cites Simpson and Scott W.

Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach Simpson and Scott W

Reference 18

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Observation 25bcbc39-e16a-41b6-bfc4-1994d575ff06 · outbound

This paper cites Fisher–kpp equations and applicatio ns to a model in medical sciences.

Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach Fisher–kpp equations and applicatio ns to a model in medical sciences

Reference 19

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Observation c4ff08f7-7fe0-4e9c-9194-7921882033b8 · outbound

This paper cites Raissi, P.

Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach Raissi, P

Reference 20

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Observation 5c36faa3-4478-44c5-a851-15de50ee4ce8 · outbound

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Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach Unresolved cited work

Reference 21

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Observation dba4ade9-7114-4f18-b4f4-24e1126c08b3 · outbound

This paper cites Brunton, Joshua L.

Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach Brunton, Joshua L

Reference 22

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Observation a777c9ef-c7bb-4be2-ab2f-69d423b61558 · outbound

This paper cites Schaeffer.

Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach Schaeffer

Reference 23

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Observation 2d690109-49a2-4ae6-bd27-a5aa37ba3d05 · outbound

This paper cites Feliu-Faba, Y.

Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach Feliu-Faba, Y

Reference 24

Resolution
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Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach Unresolved cited work

Reference 25

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This paper cites Karniadakis, I.G.

Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach Karniadakis, I.G

Reference 26

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Observation ba4f1031-67cc-4a95-834f-568f3924b18a · outbound

This paper cites Machine learning conservat ion laws from trajectories.

Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach Machine learning conservat ion laws from trajectories

Reference 27

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Observation ca46eac9-4d2c-4467-877e-a9ca429c9d0a · outbound

This paper cites Machine learning hidden sym metries.

Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach Machine learning hidden sym metries

Reference 28

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Observation a57cfa45-1b1e-4f48-87b5-f5b8c396ae31 · outbound

This paper cites Machine le arning conservation laws from differential equations.

Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach Machine le arning conservation laws from differential equations

Reference 29

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Observation 5b7d5fb4-1444-4def-8089-e79662dbd6d3 · outbound

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Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach Unresolved cited work

Reference 30

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Source-reported events for the cited work

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Observation 94113300-5a5a-4547-b6cf-e2ed5d66cd7b · outbound

This paper cites Inte grability ex machina.

Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach Inte grability ex machina

Reference 31

Resolution
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Source-reported events for the cited work

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Observation 65f5b086-3844-4be4-9713-7aefa0aba5e3 · outbound

This paper cites Data-driven identifi cation of the spectral operator in akns lax pairs using conserved quantities.

Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach Data-driven identifi cation of the spectral operator in akns lax pairs using conserved quantities

Reference 32

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 9bbe083f-7261-4bf2-a741-31708dd11880 · outbound

This paper cites Computer assisted discovery of integrability via silo: Sparse identification of lax operators, 2025.

Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach Computer assisted discovery of integrability via silo: Sparse identification of lax operators, 2025

Reference 33

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 31d7ac3b-9340-4af1-8210-a6b095abe1d1 · outbound

This paper cites an unresolved cited work.

Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach Unresolved cited work

Reference 34

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Source-reported events for the cited work

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Observation 3355ff44-9ea5-48f7-b78f-a7445363fc38 · outbound

This paper cites The method of moments for nonlinear schr¨ odinger equations: Theory and application s.

Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach The method of moments for nonlinear schr¨ odinger equations: Theory and application s

Reference 35

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation ac5327d6-cedc-47ab-8ed9-9cda1e9cbba6 · outbound

This paper cites The moment method in general nonlinear schrodinger equations.

Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach The moment method in general nonlinear schrodinger equations

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:29:46.916658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T10:29:46.185415Z digest=sha256:b8715784e0f4cd79931e295909b5715c643510f29152119989aa6512be43868e

Observation 35620b5b-9921-4b9a-9825-f4be0539e1ad · outbound

This paper cites Calvo, and V ´ ıctor M.

Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach Calvo, and V ´ ıctor M

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:29:46.893004Z

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source=pdf_text observed=2026-08-07T10:29:46.191993Z digest=sha256:0f26811cf0c32a64e965160ed86f383f3b514b5e52921ef3179088c486275e61

Observation a4a9f08d-bdab-44a7-b100-788e32d26497 · outbound

This paper cites Weakident: Weak for- mulation for identifying differential equation using narrow -fit and trimming.

Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach Weakident: Weak for- mulation for identifying differential equation using narrow -fit and trimming

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:29:46.861885Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T10:29:46.199696Z digest=sha256:c5eaab7eb6ce469e2232d9491aaf8eada9a8de9101d266068b00abdd6532dd54

Observation 48cd29cd-ebe2-422b-b334-53c4f0aaae00 · outbound

This paper cites Neural ordi- nary differential equations.

Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach Neural ordi- nary differential equations

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:29:46.824654Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T10:29:46.207800Z digest=sha256:5e371b8caca43e14fe02a87070829e7e804717862cdfa46bf646874e2fa3a625

Observation e28a26ed-19aa-4eda-88b2-e14f58ee113b · outbound

This paper cites Learning continu ous system dynamics from irregularly-sampled partial observations.

Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach Learning continu ous system dynamics from irregularly-sampled partial observations

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:29:46.793207Z

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source=pdf_text observed=2026-08-07T10:29:46.216311Z digest=sha256:d03846679ada6cada9a30f1279ef6f77c2ad82f92ccab9038f64deaf3ee3b394

Observation 5de1254d-17d2-48ba-81e1-7d6fd64206b6 · outbound

This paper cites Learning quantum dynamics with latent neural ordinary differential eq uations.

Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach Learning quantum dynamics with latent neural ordinary differential eq uations

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:29:46.769687Z

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source=pdf_text observed=2026-08-07T10:29:46.223833Z digest=sha256:810b2ddde1f1871136349c348e1c5d9e71b0873762eb12a72a63814a0180131b

Observation f62d14be-3ad0-4839-896e-435280773c6b · outbound

This paper cites Coupled graph ode for learning interacting system dynamics.

Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach Coupled graph ode for learning interacting system dynamics

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:29:46.743300Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-07T10:29:46.229485Z digest=sha256:69a8931a75d0222abe98661c206b17d918ebcc8c2ad845ea0d32c2d167e4425b

Observation 69230113-392d-4ec0-bd9b-f23c07ed0744 · outbound

This paper cites Neural ordinary differential equation control of dynamics on graphs.

Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach Neural ordinary differential equation control of dynamics on graphs

Reference 43

Resolution
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source=pdf_text observed=2026-08-07T10:29:46.238855Z digest=sha256:343129e9894b5cecbe0e11d216a04d6dd665de3b4fd28cb3668cce428868eb05

Observation d9f57483-19c3-482b-96a2-73624a4a04a4 · outbound

This paper cites Explainable deep learning for tumor dynamic modeling and overall survival prediction using neural-ode.

Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach Explainable deep learning for tumor dynamic modeling and overall survival prediction using neural-ode

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:29:46.697035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T10:29:46.246205Z digest=sha256:b2450ccd722ef406bb761f608420b5b0fb834fba070e17440c406434b0c7e50f

Observation 3326e923-e85c-4cdf-b903-3735c39696f3 · outbound

This paper cites Biologically informed neuralodes for genome-wide regulat ory dynamics.

Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach Biologically informed neuralodes for genome-wide regulat ory dynamics

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:29:46.665106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T10:29:46.252613Z digest=sha256:dce9e69ab8ddc20efac53789a03d5bfc6a671dc2a6438567559959559a851144

Observation 0a6de769-afb0-4c55-9fd8-1a3f4042ef51 · outbound

This paper cites Stiffness- reduced neural ode models for data-driven reduced-order modeling of combustion chemica l kinetics.

Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach Stiffness- reduced neural ode models for data-driven reduced-order modeling of combustion chemica l kinetics

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:29:46.635407Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T10:29:46.257749Z digest=sha256:d3cd0adb35aba0f1e72b926772bb71ed91073777708d3750c692330a7ce9f833

Observation c98bff30-f0e5-4751-877d-26682eebf929 · outbound

This paper cites Reduced-order Model for Fluid Flows via Neural Ordinary Differential Equations.

Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach Reduced-order Model for Fluid Flows via Neural Ordinary Differential Equations

Reference 47

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unresolved
no resolver link, observed 2026-08-07T10:29:46.265776Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:29:46.265776Z digest=sha256:340b84724128340f3164e8333095aed6216ab82c2e239244d91afa120a3545f5

Observation 1c6c6ecc-a602-4c76-84b0-a2d40e3093fb · outbound

This paper cites Data-driven reduced- order modeling of spatiotemporal chaos with neural ordinary differential equations.

Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach Data-driven reduced- order modeling of spatiotemporal chaos with neural ordinary differential equations

Reference 48

Resolution
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source=pdf_text observed=2026-08-07T10:29:46.273965Z digest=sha256:c19cce5bdc07575fabe838a6f8000e580b7c2d637c47f34188f7d12afc30f779

Observation 7855ec29-faac-4088-9b95-3933caf56cfe · outbound

This paper cites Biological invasions: theory and practice.

Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach Biological invasions: theory and practice

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:29:46.582998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T10:29:46.282596Z digest=sha256:0b25843732b517d0f9310ba4bf76370d09ea44ec9199179a975d2b47ae5ac4c4

Observation a1403059-00ea-4afc-940b-7c955363b61e · outbound

This paper cites Reaction–diffusi on waves in biology.

Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach Reaction–diffusi on waves in biology

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:29:46.562898Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T10:29:46.291506Z digest=sha256:3b394e840519b6c04798aa22dce41e003f4b74e6361981f2359b58d8e881657b

Observation 26519d04-e5ab-42c2-9d38-2e26d203f905 · outbound

This paper cites The geo metry of algorithms with orthogonality constraints.

Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach The geo metry of algorithms with orthogonality constraints

Reference 51

Resolution
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raw_fallback, observed 2026-08-07T10:29:46.541171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T10:29:46.301602Z digest=sha256:ff06050d913c06af54498347a051d65900de11e441d5e78fcf775c798d774030

Observation e97276b2-adcb-497e-b560-e8437aa64398 · outbound

This paper cites Optimization algorithms on matrix manifolds.

Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach Optimization algorithms on matrix manifolds

Reference 52

Resolution
unresolved
no resolver link, observed 2026-08-07T10:29:46.307357Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:29:46.307357Z digest=sha256:81434fb5cc3bfe3530f0f3425e867de85d0ec7a3ad60cea87cc97ab17f17db65

Observation f1e40edb-ebe7-449e-9f66-7f4df1f21244 · outbound

This paper cites A scaled gradient projec tion method for minimization over the stiefel manifold.

Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach A scaled gradient projec tion method for minimization over the stiefel manifold

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:29:46.492900Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T10:29:46.314434Z digest=sha256:5c4fe2cd41ece703600e93bfb5202e9ba26ec0f64d82d1bfd6b4511c32947f4a

Observation d61147ed-a6d0-4aaf-bebe-b6dd813fa6ca · outbound

This paper cites A class of smooth e xact penalty function meth- ods for optimization problems with orthogonality constrai nts.

Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach A class of smooth e xact penalty function meth- ods for optimization problems with orthogonality constrai nts

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:29:46.470762Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T10:29:46.321096Z digest=sha256:4b93e7194104d2806afc9429b889358f27520c0b41af0ba54afd43aca566d267

Observation 520a6a91-3db5-444f-b4b6-b5900b64f443 · outbound

This paper cites A penalty-free infeasible approach for a class of nonsmooth optimization problems over the stiefel manifo ld.

Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach A penalty-free infeasible approach for a class of nonsmooth optimization problems over the stiefel manifo ld

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:29:46.447532Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T10:29:46.327144Z digest=sha256:b509c0b26783b3c4d7ee2a40ae4a8804b2785cadc024146b0a5ac8ecfb7c5687

Observation cf739834-d221-4081-8802-7ac0f6d4e015 · outbound

This paper cites Norm.” re fers to errors computed in normalized space; “Orig.

Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach Norm.” re fers to errors computed in normalized space; “Orig

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:29:46.422438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T10:29:46.333747Z digest=sha256:89d5bb48e71a869ee029e8a7e4306c5bf934f9119191031d13b4bdf72d97c045

Pith citing papers

No inbound Pith citation observations are available.