Paper Citation Record · LEDGER

What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning

As of 21 August 2026, this Paper Citation Record lists 53 of 53 outbound references and 3 inbound Pith citation observations for arXiv:2411.15101.

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

pith.paper-citation-record.v1
2411.15101 v1

Coverage vector

measured 53 of 53 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T14:34:01.732038Z

measured 56 of 56 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-30T16:23:26.679435Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-01T08:55:34.988839Z

Reference resolution

53 of 53 outbound references displayed

verified exact5
verified fuzzy17
unresolved30
parse uncertain0
malformed identifier1
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation edbc73c4-ff6c-4e78-94b0-26360ca206a3 · outbound

This paper cites T., Rubanova, Y., Bettencourt, J.

What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning T., Rubanova, Y., Bettencourt, J

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:34:03.115357Z

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Observation 9d24e6a5-8ea0-40ae-ae5e-be45fe287c77 · outbound

This paper cites Universal Differential Equations for Scientific Machine Learning.

What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning Universal Differential Equations for Scientific Machine Learning

Reference 2

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Observation bb27ed0c-632f-4297-830b-0c748e4598b4 · outbound

This paper cites On Neural Differential Equations.

What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning On Neural Differential Equations

Reference 3

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Observation 6b620e56-a399-4337-a004-8fb570f3c12f · outbound

This paper cites an unresolved cited work.

What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-12T14:34:03.096106Z

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Observation 13847a32-afbd-4e20-9c4d-9181b18225ee · outbound

This paper cites an unresolved cited work.

What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning Unresolved cited work

Reference 5

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Observation 4bc1dfff-13b7-4900-b8c2-6ef959a70cb5 · outbound

This paper cites an unresolved cited work.

What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-12T14:34:03.078184Z

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Observation d2594013-a94a-44b3-b0fd-dbecd37a3328 · outbound

This paper cites Differentiable Physics: A Position Piece.

What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning Differentiable Physics: A Position Piece

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-12T14:34:01.480606Z

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Observation b1208610-7728-476d-aae3-977c235f028a · outbound

This paper cites & Kurths, J.

What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning & Kurths, J

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:34:03.062494Z

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Observation fbdab11a-dd09-42fc-9613-a37ccd7a2d52 · outbound

This paper cites Capturing missing physics in climate model parameterizations using neural differential equations.

What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning Capturing missing physics in climate model parameterizations using neural differential equations

Reference 9

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Observation 9dbbe5dd-135c-4a1e-86b1-736009408be3 · outbound

This paper cites Differentiable programming and its applications to dynamical systems.

What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning Differentiable programming and its applications to dynamical systems

Reference 10

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Observation 5136a276-cb5c-47a8-a146-c757c06b2b60 · outbound

This paper cites Physics-constrained coupled neural differential equations for one dimensional blood flow modeling.

What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning Physics-constrained coupled neural differential equations for one dimensional blood flow modeling

Reference 11

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Observation 792dceac-dbdc-49dc-9ca1-8b91dc8a7eb2 · outbound

This paper cites Full trajectory optimizing operator inference for reduced-order modeling using differentiable programming.

What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning Full trajectory optimizing operator inference for reduced-order modeling using differentiable programming

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-12T14:34:02.477668Z

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Observation b94eef17-7d69-4a0d-8222-8a2cd5dd1333 · outbound

This paper cites & Lguensat, R.

What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning & Lguensat, R

Reference 13

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Observation ce3300c6-69dc-476d-88ee-75502e775a3f · outbound

This paper cites an unresolved cited work.

What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning Unresolved cited work

Reference 14

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Observation db488953-e98d-4725-85ee-764bef4e84dd · outbound

This paper cites A., Buhendwa, A.

What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning A., Buhendwa, A

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:34:03.009767Z

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Observation 49a11ba3-8c62-43e8-a85b-fcbe7cb0674c · outbound

This paper cites TORAX: A Fast and Differentiable Tokamak Transport Simulator in JAX.

What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning TORAX: A Fast and Differentiable Tokamak Transport Simulator in JAX

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-12T14:34:01.523973Z

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Observation 92f1525f-93e5-4c47-8d0d-ac7173b6a6ec · outbound

This paper cites R., Holl, P.

What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning R., Holl, P

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:34:02.994190Z

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Observation 4451001e-c489-4575-93c9-a140737390d1 · outbound

This paper cites Message Passing Neural PDE Solvers.

What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning Message Passing Neural PDE Solvers

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-12T14:34:01.533973Z

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Observation 4d853032-2738-4ad0-9eca-8444c478d93f · outbound

This paper cites & Brandstetter, J.

What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning & Brandstetter, J

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:34:02.977548Z

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Observation 39971cd3-bd54-4f63-83dd-609621c03393 · outbound

This paper cites Differentiability in Unrolled Training of Neural Physics Simulators on Transient Dynamics.

What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning Differentiability in Unrolled Training of Neural Physics Simulators on Transient Dynamics

Reference 20

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Observation a8dd0e8d-b1e1-47d9-b370-3510334f2709 · outbound

This paper cites SineNet: Learning Temporal Dynamics in Time-Dependent Partial Differential Equations.

What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning SineNet: Learning Temporal Dynamics in Time-Dependent Partial Differential Equations

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-12T14:34:01.553234Z

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Observation 2e72d8b9-0dd2-408e-9535-b1e8160c2616 · outbound

This paper cites & Thuerey, N.

What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning & Thuerey, N

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:34:02.956300Z

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Observation 62779c94-419f-4e63-9e63-bc3eb4d1066e · outbound

This paper cites Functional Analysis, Sobolev Spaces and Partial Differential Equations Universitext (Springer New York, 2010).

What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning Functional Analysis, Sobolev Spaces and Partial Differential Equations Universitext (Springer New York, 2010)

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:34:02.941824Z

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Observation ae383a07-c75c-4e8b-85bb-28bb2eb5703f · outbound

This paper cites Sur les probl` emes aux d´ eriv´ ees partielles et leur signification physique.

What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning Sur les probl` emes aux d´ eriv´ ees partielles et leur signification physique

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:34:02.926611Z

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Observation 451ce884-db96-4bbe-84a4-8b3b625bf67d · outbound

This paper cites Un th´ eoreme de compacit´ e.CR Acad.

What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning Un th´ eoreme de compacit´ e.CR Acad

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:34:02.908407Z

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Observation 6adf2f63-5ce9-4465-8a50-470415aa8a04 · outbound

This paper cites ” quelques m´ ethodes de r´ esolution des probl` emes aux limites non- lin´ eaires,”.Dunod (1969).

What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning ” quelques m´ ethodes de r´ esolution des probl` emes aux limites non- lin´ eaires,”.Dunod (1969)

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:34:02.889444Z

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Observation 146f410e-522d-4847-94e7-c60286b3f0c0 · outbound

This paper cites Electronic Journal of Qualitative Theory of Differential Equations [electronic only] 2010 (2010).

What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning Electronic Journal of Qualitative Theory of Differential Equations [electronic only] 2010 (2010)

Reference 27

Resolution: verified exact; raw_fallback, observed 2026-08-12T14:34:02.357784Z

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Observation 8cce7951-0309-45a8-8ed1-d824e36ee75a · outbound

This paper cites Elementare Bemerkungen ¨ uber die L¨ osungen partieller Differentialgle- ichungen zweiter Ordnung vom elliptischen Typus (1927).

What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning Elementare Bemerkungen ¨ uber die L¨ osungen partieller Differentialgle- ichungen zweiter Ordnung vom elliptischen Typus (1927)

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:34:02.874129Z

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Observation 4bf473eb-ccf8-41dc-b9fc-43a7e2c6b4e5 · outbound

This paper cites & Quirchmayr, R.

What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning & Quirchmayr, R

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:34:02.859904Z

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Observation feec23b0-2447-4292-98c0-9ce99890a8c8 · outbound

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What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning Unresolved cited work

Reference 30

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This paper cites & Nicolson, P.

What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning & Nicolson, P

Reference 31

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Observation a5e58f2b-0dd3-45d9-9ff8-64673718f0d7 · outbound

This paper cites PDEformer: Towards a Foundation Model for One-Dimensional Partial Differential Equations.

What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning PDEformer: Towards a Foundation Model for One-Dimensional Partial Differential Equations

Reference 32

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This paper cites Poseidon: Efficient Foundation Models for PDEs.

What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning Poseidon: Efficient Foundation Models for PDEs

Reference 33

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Observation 3011d346-a7aa-482e-9ddb-63476de3bb24 · outbound

This paper cites Challenges of learning multi-scale dynamics with AI weather models: Implications for stability and one solution.

What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning Challenges of learning multi-scale dynamics with AI weather models: Implications for stability and one solution

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-12T14:34:01.618773Z

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Observation a2d2802f-c242-4322-a55e-9885d4e103c1 · outbound

This paper cites LUCIE: A Lightweight Uncoupled ClImate Emulator with long-term stability and physical consistency for O(1000)-member ensembles.

What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning LUCIE: A Lightweight Uncoupled ClImate Emulator with long-term stability and physical consistency for O(1000)-member ensembles

Reference 35

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This paper cites ACE2: Accurately learning subseasonal to decadal atmospheric variability and forced responses.

What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning ACE2: Accurately learning subseasonal to decadal atmospheric variability and forced responses

Reference 36

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Observation 88b13a44-ffcf-415d-a97b-ef27285e2396 · outbound

This paper cites GraphCast: Learning skillful medium-range global weather forecasting.

What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning GraphCast: Learning skillful medium-range global weather forecasting

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-12T14:34:01.640935Z

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Observation d37724d6-ddb3-4ad5-8020-a3598ede8e50 · outbound

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What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning Unresolved cited work

Reference 38

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Observation 54ba4eb2-9aa5-4281-898c-1bc6ac62ec65 · outbound

This paper cites FourCastNet: A Global Data-driven High-resolution Weather Model using Adaptive Fourier Neural Operators.

What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning FourCastNet: A Global Data-driven High-resolution Weather Model using Adaptive Fourier Neural Operators

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-12T14:34:01.649719Z

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Observation a17c5422-0c47-4052-bd59-4a333565471e · outbound

This paper cites Fourier Neural Operator for Parametric Partial Differential Equations.

What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning Fourier Neural Operator for Parametric Partial Differential Equations

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-12T14:34:01.655176Z

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Observation c56ae645-0b20-40df-8b89-8fa0bb4fc427 · outbound

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What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning Unresolved cited work

Reference 41

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Observation 2e0ea3ba-996b-4454-ae02-2fb6068ec572 · outbound

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What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning & Lousto, C

Reference 42

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Observation 64e0f70e-8c63-4283-b432-9d77ea7f4a8b · outbound

This paper cites Adversarial Machine Learning at Scale.

What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning Adversarial Machine Learning at Scale

Reference 43

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What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning & Mian, A

Reference 44

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Observation a20676ef-10d5-4ae5-a177-621bc4a094ca · outbound

This paper cites Targeted Backdoor Attacks on Deep Learning Systems Using Data Poisoning.

What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning Targeted Backdoor Attacks on Deep Learning Systems Using Data Poisoning

Reference 45

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What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning Unresolved cited work

Reference 46

Resolution: unresolved; raw_fallback, observed 2026-08-12T14:34:02.759663Z

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Observation d583fcde-201e-4b50-83ca-251ca544708d · outbound

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What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning Unresolved cited work

Reference 47

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This paper cites an unresolved cited work.

What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning Unresolved cited work

Reference 48

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This paper cites & Hakim, A.

What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning & Hakim, A

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:34:02.744243Z

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Observation e0f53004-f0c1-49b9-9aae-0f7c51e87c02 · outbound

This paper cites Fashionable Modelling with Flux.

What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning Fashionable Modelling with Flux

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-12T14:34:01.711913Z

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This paper cites Flux: Elegant machine learning with julia.

What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning Flux: Elegant machine learning with julia

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:34:02.726007Z

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Observation 8695b3b8-322a-4b75-9eb3-e9993bcb5727 · outbound

This paper cites Don't Unroll Adjoint: Differentiating SSA-Form Programs.

What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning Don't Unroll Adjoint: Differentiating SSA-Form Programs

Reference 52

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Observation 1e302335-4c56-4966-9443-0351722d5475 · outbound

This paper cites an unresolved cited work.

What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning Unresolved cited work

Reference 53

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Pith citing papers

Observation 5593f821-b708-4904-b472-7464554b3d66 · inbound

Deep Learning of Solver-Aware Turbulence Closures from Nudged LES Dynamics cites this paper.

Deep Learning of Solver-Aware Turbulence Closures from Nudged LES Dynamics What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning

Reference 27

Resolution: verified exact; arxiv_id, observed 2026-05-11T21:31:14.923341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 39e349ce-dc2f-4f06-8700-59ac18251f63 · inbound

Deep Learning of Solver-Aware Turbulence Closures from Nudged LES Dynamics cites this paper.

Deep Learning of Solver-Aware Turbulence Closures from Nudged LES Dynamics What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning

Reference 27

Resolution: verified exact; arxiv_id, observed 2026-07-01T08:55:34.990325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 86c72404-d19a-47f4-86f9-01606620f502 · inbound

No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study cites this paper.

No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning

Reference 45

Resolution: unresolved; no resolver link, observed 2026-07-30T16:23:26.679435Z

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Unavailable: canonical work link unavailable.