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Paper Citation Record · LEDGER

When is a System Discoverable from Data? Discovery Requires Chaos

As of 7 August 2026, this Paper Citation Record lists 100 of 168 outbound references and 5 inbound Pith citation observations for arXiv:2511.08860.

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

pith.paper-citation-record.v1
2511.08860 v2

Coverage vector

measured 100 of 168 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T22:50:30.950407Z

measured 105 of 105 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T15:24:51.678770Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

100 of 168 outbound references displayed

  • verified exact3
  • verified fuzzy0
  • unresolved97
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation 81b0a046-96b4-4a0c-b036-22a0b756ddb9 · outbound

This paper cites Nature Machine Intelligence, 7 0 (1): 0 1--1, 2025.

When is a System Discoverable from Data? Discovery Requires Chaos Nature Machine Intelligence, 7 0 (1): 0 1--1, 2025

Reference 1

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doi, observed 2026-08-03T22:53:32.239830Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 78b4db2d-e219-4e22-bcdb-11f6384771dd · outbound

This paper cites Learning-informed parameter identification in nonlinear time-dependent pdes.

When is a System Discoverable from Data? Discovery Requires Chaos Learning-informed parameter identification in nonlinear time-dependent pdes

Reference 2

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source=arxiv_source observed=2026-08-03T22:50:30.582069Z digest=sha256:a771c2ab24f323ed2204a448537bed6867695f227b593ad1a7023d5f6c6d5bb4

Observation 71f2930f-ccdf-4b41-9c25-a08c03419aec · outbound

This paper cites Identification of the coefficient in elliptic equations.

When is a System Discoverable from Data? Discovery Requires Chaos Identification of the coefficient in elliptic equations

Reference 3

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source=arxiv_source observed=2026-08-03T22:50:30.586041Z digest=sha256:4f44e312f7ba05fabe9f79f9ac5e5ebb04c3727a93fa4cc4bf1b30220571bbc4

Observation 86a0b634-5521-43e0-9836-56799400c48e · outbound

This paper cites Fernando.

When is a System Discoverable from Data? Discovery Requires Chaos Fernando

Reference 4

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source=arxiv_source observed=2026-08-03T22:50:30.589938Z digest=sha256:0a1f1b88dd650b6daac5f5617be1c6a8494e629b2b7b65a4e139c26bcdd1e897

Observation 8dde55c6-7998-4445-bbf0-e59ae47db5ea · outbound

This paper cites An identification problem for an elliptic equation in two variables.

When is a System Discoverable from Data? Discovery Requires Chaos An identification problem for an elliptic equation in two variables

Reference 5

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source=arxiv_source observed=2026-08-03T22:50:30.593920Z digest=sha256:146dffd6ee40c6034601d5106dc9ae85a3b16d94e465728ace43da05f1f14d4e

Observation c5883603-1c58-4e3e-bc9c-69fc610775ff · outbound

This paper cites Three-dimensional flows, volume 1.

When is a System Discoverable from Data? Discovery Requires Chaos Three-dimensional flows, volume 1

Reference 6

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Observation 78bad77b-ceef-4d18-9016-4a210fe13a50 · outbound

This paper cites Invariant physics-informed neural networks for ordinary differential equations.

When is a System Discoverable from Data? Discovery Requires Chaos Invariant physics-informed neural networks for ordinary differential equations

Reference 7

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Observation 37a82eae-40b4-4899-a094-f11d0b6d1353 · outbound

This paper cites O ktem, and Carola-Bibiane Sch \.

When is a System Discoverable from Data? Discovery Requires Chaos O ktem, and Carola-Bibiane Sch \

Reference 8

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Observation c294452b-2962-416a-9924-c735b55cbf1c · outbound

This paper cites Adriano Augusto and Helio J.C.

When is a System Discoverable from Data? Discovery Requires Chaos Adriano Augusto and Helio J.C

Reference 9

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source=arxiv_source observed=2026-08-03T22:50:30.609820Z digest=sha256:fb9f7adb0ff0c166819be827ed0e75b9609b058bddc50e5d2d65167d0fd22189

Observation b417d497-9f93-4522-b2c6-b8f2edb5984c · outbound

This paper cites Neural operators for accelerating scientific simulations and design.

When is a System Discoverable from Data? Discovery Requires Chaos Neural operators for accelerating scientific simulations and design

Reference 10

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Observation cbf9596d-289c-43e7-9932-ce23d8179364 · outbound

This paper cites Reproducibility crisis.

When is a System Discoverable from Data? Discovery Requires Chaos Reproducibility crisis

Reference 11

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Observation b7502ad8-d337-43ef-8043-f9b1e2736a28 · outbound

This paper cites Poincar \'e and the Three Body Problem.

When is a System Discoverable from Data? Discovery Requires Chaos Poincar \'e and the Three Body Problem

Reference 12

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Observation 3e109df9-b811-4191-b637-b98848a1a3dc · outbound

This paper cites Representation equivalent neural operators: a framework for alias-free operator learning.

When is a System Discoverable from Data? Discovery Requires Chaos Representation equivalent neural operators: a framework for alias-free operator learning

Reference 13

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Observation fa71ee79-08b9-4b3e-b3e2-15481acd996d · outbound

This paper cites E (3)-equivariant graph neural networks for data-efficient and accurate interatomic potentials.

When is a System Discoverable from Data? Discovery Requires Chaos E (3)-equivariant graph neural networks for data-efficient and accurate interatomic potentials

Reference 14

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source=arxiv_source observed=2026-08-03T22:50:30.627800Z digest=sha256:89180df5557a6343be4abb12b548b6f8a01abbe17e3483cf5f8427dce04bb6cf

Observation 8df720d3-1a23-4a5c-8ed4-8a3f3802a84c · outbound

This paper cites On structural identifiability.

When is a System Discoverable from Data? Discovery Requires Chaos On structural identifiability

Reference 15

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Observation 3bf938b8-f9de-4b09-8db9-99d4fe88fd51 · outbound

This paper cites A survey of projection-based model reduction methods for parametric dynamical systems.

When is a System Discoverable from Data? Discovery Requires Chaos A survey of projection-based model reduction methods for parametric dynamical systems

Reference 16

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Observation 9f3f9986-45c9-4c34-b757-d7ed4d73a5ad · outbound

This paper cites Pangu-Weather: A 3D High-Resolution Model for Fast and Accurate Global Weather Forecast.

When is a System Discoverable from Data? Discovery Requires Chaos Pangu-Weather: A 3D High-Resolution Model for Fast and Accurate Global Weather Forecast

Reference 17

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Observation bd78f33a-cace-4903-97be-0d80426db592 · outbound

This paper cites Neural symbolic regression that scales.

When is a System Discoverable from Data? Discovery Requires Chaos Neural symbolic regression that scales

Reference 18

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source=arxiv_source observed=2026-08-03T22:50:30.643234Z digest=sha256:874f27acf9015fde8b93e557ba565be2c2afe428bea20e6ea217cee9d852c1d9

Observation 384d1473-52ab-4923-b371-9f4cfeb80b77 · outbound

This paper cites Neural flows: Efficient alternative to neural odes.

When is a System Discoverable from Data? Discovery Requires Chaos Neural flows: Efficient alternative to neural odes

Reference 19

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source=arxiv_source observed=2026-08-03T22:50:30.646758Z digest=sha256:5c809d339c0e254348be9536fcb8f0cad08c660925706a45719b881bfeeaecdf

Observation f81cdd94-fc49-4669-94b7-6539c54fe5f8 · outbound

This paper cites Birkhoff.

When is a System Discoverable from Data? Discovery Requires Chaos Birkhoff

Reference 20

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Observation 1eaeb09d-811b-48df-9b40-2f32a94b978c · outbound

This paper cites Topological chaos: what may this mean ?.

When is a System Discoverable from Data? Discovery Requires Chaos Topological chaos: what may this mean ?

Reference 21

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source=arxiv_source observed=2026-08-03T22:50:30.654147Z digest=sha256:dc0872fa1e89afa9a6512fb200d8c162ef7728fb9ca7f4c2c6707a5c5dd26b11

Observation 6cab51bb-bf63-4ddb-889f-f44ec2fc531a · outbound

This paper cites The control of chaos: theory and applications.

When is a System Discoverable from Data? Discovery Requires Chaos The control of chaos: theory and applications

Reference 22

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source=arxiv_source observed=2026-08-03T22:50:30.657920Z digest=sha256:ae90c20bdab0984871948e9cb8673b54b477b7db82a3f7fc265789cc29aecd64

Observation a7cc784e-f6de-4c14-9622-fc6262f2e486 · outbound

This paper cites Automated reverse engineering of nonlinear dynamical systems.

When is a System Discoverable from Data? Discovery Requires Chaos Automated reverse engineering of nonlinear dynamical systems

Reference 23

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source=arxiv_source observed=2026-08-03T22:50:30.661743Z digest=sha256:c4e374024b31d5e02e0d37cee1b980a68364ec6f42a1e40bee0d9c3225e29eb1

Observation b4c41809-e9d4-40ab-a8cf-4061c9b6c44f · outbound

This paper cites Deepmod: Deep learning for model discovery in noisy data.

When is a System Discoverable from Data? Discovery Requires Chaos Deepmod: Deep learning for model discovery in noisy data

Reference 24

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Observation 386e9c24-d1a2-446c-bbba-2f459f7c59e6 · outbound

This paper cites Does equivariance matter at scale? In NeurIPS 2024 Workshop on Symmetry and Geometry in Neural Representations, 2025.

When is a System Discoverable from Data? Discovery Requires Chaos Does equivariance matter at scale? In NeurIPS 2024 Workshop on Symmetry and Geometry in Neural Representations, 2025

Reference 25

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Observation da092df6-6639-4efe-8a43-cecf0cd2fc0e · outbound

This paper cites Promising directions of machine learning for partial differential equations.

When is a System Discoverable from Data? Discovery Requires Chaos Promising directions of machine learning for partial differential equations

Reference 26

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Observation 84793805-6dee-450a-87d0-14cea9b688d1 · outbound

This paper cites Discovering governing equations from data by sparse identification of nonlinear dynamical systems.

When is a System Discoverable from Data? Discovery Requires Chaos Discovering governing equations from data by sparse identification of nonlinear dynamical systems

Reference 27

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Observation 6417119b-2add-4e72-a4d1-1d8a72be895a · outbound

This paper cites Chaos as an intermittently forced linear system.

When is a System Discoverable from Data? Discovery Requires Chaos Chaos as an intermittently forced linear system

Reference 28

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Observation 9df0dbfb-148c-4f94-bc21-566701ea6c21 · outbound

This paper cites Canonical Bayesian Linear System Identification.

When is a System Discoverable from Data? Discovery Requires Chaos Canonical Bayesian Linear System Identification

Reference 29

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Observation b104aaef-4bcb-4bfa-8a20-9a9ce8381b0d · outbound

This paper cites Symplectic neural flows for modeling and discovery, 2024.

When is a System Discoverable from Data? Discovery Requires Chaos Symplectic neural flows for modeling and discovery, 2024

Reference 30

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source=arxiv_source observed=2026-08-03T22:50:30.687910Z digest=sha256:79ac9d8d9d7f4de57b663020e91bb3d5466ce1af558495665d6a894ee9543605

Observation 0d7d6576-8e5b-4ad4-a788-704c4de9a013 · outbound

This paper cites Machine learning and the physical sciences.

When is a System Discoverable from Data? Discovery Requires Chaos Machine learning and the physical sciences

Reference 31

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source=arxiv_source observed=2026-08-03T22:50:30.691834Z digest=sha256:fc497a7a3fba9fbfe7c7a84173f4ff29acc6f3c84449bf2ac11d497954b285d2

Observation 429b0372-e8e2-482d-8c04-c917586f0f0d · outbound

This paper cites Identifiability Challenges in Sparse Linear Ordinary Differential Equations.

When is a System Discoverable from Data? Discovery Requires Chaos Identifiability Challenges in Sparse Linear Ordinary Differential Equations

Reference 32

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Observation 8dfe65a1-7a1b-4fe2-9564-90214b729895 · outbound

This paper cites Nathan Kutz, and Steven L.

When is a System Discoverable from Data? Discovery Requires Chaos Nathan Kutz, and Steven L

Reference 33

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source=arxiv_source observed=2026-08-03T22:50:30.699630Z digest=sha256:6493fdf373e8223488eed6bbe37bd5bbe11370e2d170c740314c092a95aa0b96

Observation 393e1e88-690c-467a-a65d-d5d867a172ef · outbound

This paper cites Neural ordinary differential equations.

When is a System Discoverable from Data? Discovery Requires Chaos Neural ordinary differential equations

Reference 34

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Observation 3e739cf2-0d55-44d1-aebf-4c791287379a · outbound

This paper cites The nonequivalence and dimension formula for attractors of lorenz-type systems.

When is a System Discoverable from Data? Discovery Requires Chaos The nonequivalence and dimension formula for attractors of lorenz-type systems

Reference 35

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Observation 38c59e1d-c61d-409a-bd72-97bdac3a8f56 · outbound

This paper cites Physics-informed learning of governing equations from scarce data.

When is a System Discoverable from Data? Discovery Requires Chaos Physics-informed learning of governing equations from scarce data

Reference 36

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Observation 52a554a8-ce52-4b64-8b5e-79fdfe0977e8 · outbound

This paper cites Chesebro, David Hofmann, Vaibhav Dixit, Earl K.

When is a System Discoverable from Data? Discovery Requires Chaos Chesebro, David Hofmann, Vaibhav Dixit, Earl K

Reference 37

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Observation 9a4fb423-9687-412e-9184-be056031d86d · outbound

This paper cites The double scroll family.

When is a System Discoverable from Data? Discovery Requires Chaos The double scroll family

Reference 38

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Observation 21af5e36-38ee-4d14-8c3f-64e8725d6b58 · outbound

This paper cites Parameter and structural identifiability concepts and ambiguities: a critical review and analysis.

When is a System Discoverable from Data? Discovery Requires Chaos Parameter and structural identifiability concepts and ambiguities: a critical review and analysis

Reference 39

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source=arxiv_source observed=2026-08-03T22:50:30.722389Z digest=sha256:9c6c80d45a623174cf47e3815bb07f58f9a96446ace5ef3ddfa2a6a951fd2d3a

Observation af8fba09-f820-43b1-aa02-9868421c8911 · outbound

This paper cites Combining data and theory for derivable scientific discovery with ai-descartes.

When is a System Discoverable from Data? Discovery Requires Chaos Combining data and theory for derivable scientific discovery with ai-descartes

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source=arxiv_source observed=2026-08-03T22:50:30.726149Z digest=sha256:90d5f7f508a6564cb4922ba389d3e86f1897496c6105d4b29f4f3442aaf7d68e

Observation cbb62858-d99a-4c9e-a841-1ff06f22cc3d · outbound

This paper cites Evolving scientific discovery by unifying data and background knowledge with ai hilbert.

When is a System Discoverable from Data? Discovery Requires Chaos Evolving scientific discovery by unifying data and background knowledge with ai hilbert

Reference 41

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source=arxiv_source observed=2026-08-03T22:50:30.730015Z digest=sha256:c5da4da25fc134eae6af45d3551e7951ad46746422d671ccccfd316ca56533ea

Observation 3344e397-c897-4c48-8e77-4e38db86f6cc · outbound

This paper cites Interpretable Machine Learning for Science with PySR and SymbolicRegression.jl.

When is a System Discoverable from Data? Discovery Requires Chaos Interpretable Machine Learning for Science with PySR and SymbolicRegression.jl

Reference 42

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source=arxiv_source observed=2026-08-03T22:50:30.733783Z digest=sha256:ece0acdd842704c12e0afcc15e3be7258dcc3c474090be412ee9656760d8de09

Observation 428e1abe-f59e-4261-8a2d-d93441fa1fd4 · outbound

This paper cites Lagrangian Neural Networks.

When is a System Discoverable from Data? Discovery Requires Chaos Lagrangian Neural Networks

Reference 43

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source=arxiv_source observed=2026-08-03T22:50:30.737795Z digest=sha256:8e9c09b13cf129e1ecd1cccca80b4e339fb7332b9ea8ad2c3b1e4c1b6fd9312a

Observation 866dc772-f529-43f0-ac85-411a289ee324 · outbound

This paper cites Learning Symbolic Physics with Graph Networks.

When is a System Discoverable from Data? Discovery Requires Chaos Learning Symbolic Physics with Graph Networks

Reference 44

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source=arxiv_source observed=2026-08-03T22:50:30.741913Z digest=sha256:3511dbba406e50ebb9d842af811ac33fcb1d4a93dded4e2f07f87d61d740f259

Observation b4c716da-3272-4729-af7e-75c3a92a20f9 · outbound

This paper cites Scientific machine learning through physics--informed neural networks: Where we are and what’s next.

When is a System Discoverable from Data? Discovery Requires Chaos Scientific machine learning through physics--informed neural networks: Where we are and what’s next

Reference 45

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source=arxiv_source observed=2026-08-03T22:50:30.746042Z digest=sha256:48afdbbe6e191f769e2439c7d4e70e3324e015aaeb0ec286375dd11c6559fde6

Observation 55bc75fa-c3e8-4b92-a9c9-20f545c7add2 · outbound

This paper cites Physics and lie symmetry informed gaussian processes.

When is a System Discoverable from Data? Discovery Requires Chaos Physics and lie symmetry informed gaussian processes

Reference 46

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source=arxiv_source observed=2026-08-03T22:50:30.749711Z digest=sha256:f2ad2e40b6fd8c82d28ddd22dd590fa768d606c7131863458cb76240ebf36fe3

Observation b94e8ba3-60ca-424b-a15b-e423570d7bc5 · outbound

This paper cites Machine learning in drug discovery: a review.

When is a System Discoverable from Data? Discovery Requires Chaos Machine learning in drug discovery: a review

Reference 47

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source=arxiv_source observed=2026-08-03T22:50:30.753477Z digest=sha256:21596d0e857be0537b1012ea59dcc45d0a7e698976bc5bfbeaaf968a37e8af04

Observation f8a50749-afb9-45c7-acfe-e4b8af089633 · outbound

This paper cites Physics-informed neural networks for data-driven simulation: Advantages, limitations, and opportunities.

When is a System Discoverable from Data? Discovery Requires Chaos Physics-informed neural networks for data-driven simulation: Advantages, limitations, and opportunities

Reference 48

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source=arxiv_source observed=2026-08-03T22:50:30.757028Z digest=sha256:b83c58528bf6b87b08aa168a6f4a3eb55dc36baaebd918e9e5d41b03e0cb2bbe

Observation e49cfa9c-3e9c-4ad5-96df-e0375f7be3a1 · outbound

This paper cites Magnetic control of tokamak plasmas through deep reinforcement learning.

When is a System Discoverable from Data? Discovery Requires Chaos Magnetic control of tokamak plasmas through deep reinforcement learning

Reference 49

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source=arxiv_source observed=2026-08-03T22:50:30.760608Z digest=sha256:e27a50c1808b98e1c22896cf6feac20998d0d27bc30601bd0cf8fb8ed1b95fd8

Observation 16dad2be-76a4-4a11-9b68-db921a6c8b14 · outbound

This paper cites On parameter and structural identifiability: Nonunique observability/reconstructibility for identifiable systems, other ambiguities, and new definitions.

When is a System Discoverable from Data? Discovery Requires Chaos On parameter and structural identifiability: Nonunique observability/reconstructibility for identifiable systems, other ambiguities, and new definitions

Reference 50

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source=arxiv_source observed=2026-08-03T22:50:30.764252Z digest=sha256:1135db1b3fdbbad419d7b404da491610a70016e4eca2805356488ff3bd0b75c5

Observation d58683f2-c2b9-4dad-8171-8038232a0d4b · outbound

This paper cites From digital control to digital twins in medicine: A brief review and future perspectives.

When is a System Discoverable from Data? Discovery Requires Chaos From digital control to digital twins in medicine: A brief review and future perspectives

Reference 51

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source=arxiv_source observed=2026-08-03T22:50:30.767844Z digest=sha256:8647f4740c37e7f98495f568cbdba68915f848d43ff9e2c295cb730ddeb46dfb

Observation 58c82b45-c1e0-46fa-a411-d8bc53cc7586 · outbound

This paper cites Ueber diffusion.

When is a System Discoverable from Data? Discovery Requires Chaos Ueber diffusion

Reference 52

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source=arxiv_source observed=2026-08-03T22:50:30.771389Z digest=sha256:ae70599b0136c4f475ee1cfc297c531f67d0d86e7f8b05242c8ab9d824e7b556

Observation a24aa23a-476a-442a-9817-de2158c2d8a2 · outbound

This paper cites Theorie analytique de la chaleur, par M.

When is a System Discoverable from Data? Discovery Requires Chaos Theorie analytique de la chaleur, par M

Reference 53

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source=arxiv_source observed=2026-08-03T22:50:30.775012Z digest=sha256:e6bf6e300d277b3357ea0972cd4b20ddaa25edef7faef8b460f356fe9d4080dc

Observation b4885255-aacb-4410-9833-22ead081d280 · outbound

This paper cites On determining the dimension of chaotic flows.

When is a System Discoverable from Data? Discovery Requires Chaos On determining the dimension of chaotic flows

Reference 54

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source=arxiv_source observed=2026-08-03T22:50:30.778638Z digest=sha256:265acbfe44217d022c4e0897f16b7ed8f875bd0426162ecdf122c04598aafd61

Observation fa46beb2-6b48-42b7-abf7-18481d384419 · outbound

This paper cites Lorenz like flows: exponential decay of correlations for the Poincar\'e map, logarithm law, quantitative recurrence.

When is a System Discoverable from Data? Discovery Requires Chaos Lorenz like flows: exponential decay of correlations for the Poincar\'e map, logarithm law, quantitative recurrence

Reference 55

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source=arxiv_source observed=2026-08-03T22:50:30.782240Z digest=sha256:fb9d1d82fdc7ffdabf32d693173bfd5ab7f985dd34347a080a28e7830c699268

Observation b92b6663-c070-4e4f-ab0b-22b40ec7a9b9 · outbound

This paper cites Plasma surrogate modelling using Fourier neural operators.

When is a System Discoverable from Data? Discovery Requires Chaos Plasma surrogate modelling using Fourier neural operators

Reference 56

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source=arxiv_source observed=2026-08-03T22:50:30.785828Z digest=sha256:b6643d62cf054967406fce2a17180f338244ef55311c97f97b5d46ca8b217445

Observation 03022f50-9f57-4514-ac8b-e2bcdeb2933f · outbound

This paper cites Measuring the strangeness of strange attractors.

When is a System Discoverable from Data? Discovery Requires Chaos Measuring the strangeness of strange attractors

Reference 57

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source=arxiv_source observed=2026-08-03T22:50:30.789363Z digest=sha256:7869eb6db9fea21e5f9e4e6580aa5d22fca21df6e0c524c0ab15fd5256de70bc

Observation 656a49de-b137-48fb-8eff-4b10e3b82271 · outbound

This paper cites Symbolic regression with a learned concept library.

When is a System Discoverable from Data? Discovery Requires Chaos Symbolic regression with a learned concept library

Reference 58

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source=arxiv_source observed=2026-08-03T22:50:30.793028Z digest=sha256:49e3e3580950d36234bb5fb416171753409cffab8bc42883cb6f9ab27f43b147

Observation 4a3164b7-c86b-47d5-9b2f-b56c8532bf24 · outbound

This paper cites Hamiltonian neural networks.

When is a System Discoverable from Data? Discovery Requires Chaos Hamiltonian neural networks

Reference 59

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source=arxiv_source observed=2026-08-03T22:50:30.796793Z digest=sha256:973a2bba6df73eabef85be890669fe70e3cf74b9bb4d04ad92e74c454d83cd37

Observation 991598d2-2232-435a-89ff-ad87b90f3ee9 · outbound

This paper cites Linear chaos.

When is a System Discoverable from Data? Discovery Requires Chaos Linear chaos

Reference 60

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source=arxiv_source observed=2026-08-03T22:50:30.800423Z digest=sha256:64e2a521ba7c4931471e01f84421b5a0ee77fc07050ff88dd090f4e7fa1041e4

Observation 72e2ad1b-58b0-4b1c-b995-40ac60fd2564 · outbound

This paper cites Can physics-informed neural networks beat the finite element method? IMA Journal of Applied Mathematics, 89 0 (1): 0 143--174, 2024.

When is a System Discoverable from Data? Discovery Requires Chaos Can physics-informed neural networks beat the finite element method? IMA Journal of Applied Mathematics, 89 0 (1): 0 143--174, 2024

Reference 61

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source=arxiv_source observed=2026-08-03T22:50:30.803860Z digest=sha256:6febfe5bb3dc6df94b315d07529528cf0d2a31cc68396f6ea7bb8437ed170691

Observation 279aef6b-8270-493e-a25b-f94e52dbc96a · outbound

This paper cites Sur les probl \`e mes aux d \'e riv \'e es partielles et leur signification physique.

When is a System Discoverable from Data? Discovery Requires Chaos Sur les probl \`e mes aux d \'e riv \'e es partielles et leur signification physique

Reference 62

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source=arxiv_source observed=2026-08-03T22:50:30.807534Z digest=sha256:83539cae9c614ca9db5a9c07e54dbe9dae7bf7dd9d96ef674d99ac650b1ffe97

Observation f4819e88-3bc2-4c45-9868-d5d4e737856c · outbound

This paper cites Pereira, Robert J.

When is a System Discoverable from Data? Discovery Requires Chaos Pereira, Robert J

Reference 63

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source=arxiv_source observed=2026-08-03T22:50:30.811458Z digest=sha256:ce9b628a7983c43de4e6c13bb52c6d9a73cd6c5de0e63f6712b16b9bdfb2a41e

Observation 9e79f5e4-69a6-4bea-a4bd-9d81d1a087e7 · outbound

This paper cites Robust identifiability for symbolic recovery of differential equations.

When is a System Discoverable from Data? Discovery Requires Chaos Robust identifiability for symbolic recovery of differential equations

Reference 64

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source=arxiv_source observed=2026-08-03T22:50:30.815520Z digest=sha256:7dbc1c55927da7bb2623c6d02d81fd7234c4eb688b01702f4d81e6340fe585aa

Observation 24cdafd2-4043-42ad-b04b-d297491a6e21 · outbound

This paper cites Poseidon: Efficient foundation models for pdes.

When is a System Discoverable from Data? Discovery Requires Chaos Poseidon: Efficient foundation models for pdes

Reference 65

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source=arxiv_source observed=2026-08-03T22:50:30.819453Z digest=sha256:aa928b37578fcf3379e24eacf47d008dd1d0bc27117cb4906c1b823e9f1cdf45

Observation 73497d02-6cdb-481a-934d-64b02b0841b4 · outbound

This paper cites u r ein-und ausgangsgr \.

When is a System Discoverable from Data? Discovery Requires Chaos u r ein-und ausgangsgr \

Reference 66

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source=arxiv_source observed=2026-08-03T22:50:30.823323Z digest=sha256:5f988bd6ec1d090687eb656444b26fd1e27f00f992a62cae8bb6df9cbd7968a0

Observation bff7dbcb-dff2-4688-ac22-da0f6a1a599a · outbound

This paper cites On uniqueness in structured model learning.

When is a System Discoverable from Data? Discovery Requires Chaos On uniqueness in structured model learning

Reference 67

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source=arxiv_source observed=2026-08-03T22:50:30.826954Z digest=sha256:bf9548258490151bb6cda3d183824765575fc6467feae8ef0626eaeef87e6932

Observation b626062a-bd58-4206-be94-6f79e1cb10c7 · outbound

This paper cites Deep generative symbolic regression.

When is a System Discoverable from Data? Discovery Requires Chaos Deep generative symbolic regression

Reference 68

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source=arxiv_source observed=2026-08-03T22:50:30.830627Z digest=sha256:a1759cd70406c4d9040fb44c7b97fecede0752b421870c14e5d26abdaae76e1a

Observation 5f06a2a9-b77a-4033-a881-b32af2022ace · outbound

This paper cites Artificial intelligence faces reproducibility crisis, 2018.

When is a System Discoverable from Data? Discovery Requires Chaos Artificial intelligence faces reproducibility crisis, 2018

Reference 69

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source=arxiv_source observed=2026-08-03T22:50:30.834106Z digest=sha256:ed7eca4286a7bb930187dc40207c86f4525b351ac0458be4a589cca85069c3df

Observation a8ea5a51-3693-4303-bb7d-d1f35994abe9 · outbound

This paper cites Highly accurate protein structure prediction with alphafold.

When is a System Discoverable from Data? Discovery Requires Chaos Highly accurate protein structure prediction with alphafold

Reference 70

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source=arxiv_source observed=2026-08-03T22:50:30.838055Z digest=sha256:8332c88801e803139a4017f18e3eef880d02e93e77724accf42d7f31f84fa3b7

Observation d3e7ea46-2426-4c43-baee-9ca36869b529 · outbound

This paper cites D- CIPHER : Discovery of closed-form partial differential equations.

When is a System Discoverable from Data? Discovery Requires Chaos D- CIPHER : Discovery of closed-form partial differential equations

Reference 71

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source=arxiv_source observed=2026-08-03T22:50:30.843945Z digest=sha256:9e70f941d3c83f5f174ee094d8ec434f67349cc61a211a08cb4572c53f05b32f

Observation 954c93fe-b823-437c-82ad-b6a62f7320d0 · outbound

This paper cites Sindy-pi: a robust algorithm for parallel implicit sparse identification of nonlinear dynamics.

When is a System Discoverable from Data? Discovery Requires Chaos Sindy-pi: a robust algorithm for parallel implicit sparse identification of nonlinear dynamics

Reference 72

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source=arxiv_source observed=2026-08-03T22:50:30.847947Z digest=sha256:f3ed7728c7a2b217fb29bb41b6eb4279778782bfc907230f7b19077b141a30f3

Observation 477d2a84-c8f8-49f4-8625-2c70ef468426 · outbound

This paper cites The experimental multi-arm pendulum on a cart: A benchmark system for chaos, learning, and control.

When is a System Discoverable from Data? Discovery Requires Chaos The experimental multi-arm pendulum on a cart: A benchmark system for chaos, learning, and control

Reference 73

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source=arxiv_source observed=2026-08-03T22:50:30.851635Z digest=sha256:02d02c194294da2fb8c52fbec9357cb9dea358907994ff154c52a9a5cb6f4ccb

Observation 76f0e81f-2da1-4ef3-8f7f-b0a120ae28ad · outbound

This paper cites End-to-end symbolic regression with transformers.

When is a System Discoverable from Data? Discovery Requires Chaos End-to-end symbolic regression with transformers

Reference 74

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source=arxiv_source observed=2026-08-03T22:50:30.855266Z digest=sha256:3c6a0f21725e83498105ba9f3e4b22a1a61fc5a13ce33f126463786833c8708b

Observation 033f287b-1cd8-4233-99a8-734d6f01df3f · outbound

This paper cites Leakage and the reproducibility crisis in machine-learning-based science.

When is a System Discoverable from Data? Discovery Requires Chaos Leakage and the reproducibility crisis in machine-learning-based science

Reference 75

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source=arxiv_source observed=2026-08-03T22:50:30.858879Z digest=sha256:e70212369bac997abb2e2744c377149028e36d727cc5732c29077caf7d32c9de

Observation 3b5484d8-3cc4-4cc1-a96a-a8479950945a · outbound

This paper cites Benchmarking sparse system identification with low-dimensional chaos.

When is a System Discoverable from Data? Discovery Requires Chaos Benchmarking sparse system identification with low-dimensional chaos

Reference 76

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source=arxiv_source observed=2026-08-03T22:50:30.862578Z digest=sha256:aa6543bc26d4946de27cb0ebc9c66bd4a89c0aadb42843cf25eb4a73a07df5cd

Observation 057d8cad-4904-49f9-b1d9-e465447da8a2 · outbound

This paper cites Benchmarking sparse system identification with low-dimensional chaos.

When is a System Discoverable from Data? Discovery Requires Chaos Benchmarking sparse system identification with low-dimensional chaos

Reference 77

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source=arxiv_source observed=2026-08-03T22:50:30.866118Z digest=sha256:4c10b14375f8af74eecfaf16ef32d30fcb334c72a4ae26adcad54433c986e6bd

Observation 4835fd39-aff1-4313-a10a-852e6c899490 · outbound

This paper cites Machine learning in the search for new fundamental physics.

When is a System Discoverable from Data? Discovery Requires Chaos Machine learning in the search for new fundamental physics

Reference 78

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source=arxiv_source observed=2026-08-03T22:50:30.869837Z digest=sha256:4211a88e5e619d2f4010693183be976390c5a297ed099429a11b9f39929f0922

Observation add6dfc7-28b0-45b5-b2b7-2dcc4d00b0de · outbound

This paper cites Astronomia nova.

When is a System Discoverable from Data? Discovery Requires Chaos Astronomia nova

Reference 79

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source=arxiv_source observed=2026-08-03T22:50:30.873470Z digest=sha256:381749744a0ae3359f57bae9057a6b25deb5dd647694853954310f2a15ada577

Observation 2d30b7a8-a518-4c72-b9cb-e75d5e6083c0 · outbound

This paper cites The method of proper orthogonal decomposition for dynamical characterization and order reduction of mechanical systems: an overview.

When is a System Discoverable from Data? Discovery Requires Chaos The method of proper orthogonal decomposition for dynamical characterization and order reduction of mechanical systems: an overview

Reference 80

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source=arxiv_source observed=2026-08-03T22:50:30.877076Z digest=sha256:1866b5bffe6324623c24c19c9bd77cf6b9d20127c89ebd4dbdd67c75a06d401e

Observation 36b35f60-4fec-426f-8f42-554f8f7e883a · outbound

This paper cites Parameter identification for elliptic problems.

When is a System Discoverable from Data? Discovery Requires Chaos Parameter identification for elliptic problems

Reference 81

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source=arxiv_source observed=2026-08-03T22:50:30.880532Z digest=sha256:04f04e390188c873112604ae53e2810e5412fc5d68a7a92c85af4d91d221a925

Observation 97223081-b3eb-43f5-89c7-3d410993a128 · outbound

This paper cites Machine learning--accelerated computational fluid dynamics.

When is a System Discoverable from Data? Discovery Requires Chaos Machine learning--accelerated computational fluid dynamics

Reference 82

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source=arxiv_source observed=2026-08-03T22:50:30.884281Z digest=sha256:33facf1b063ba3ae262922ac52322233688eabb74345fa2fad96e5efc8474319

Observation 8507561b-8b84-415d-85ef-951677594584 · outbound

This paper cites Neural operator: Learning maps between function spaces with applications to pdes.

When is a System Discoverable from Data? Discovery Requires Chaos Neural operator: Learning maps between function spaces with applications to pdes

Reference 83

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source=arxiv_source observed=2026-08-03T22:50:30.888149Z digest=sha256:f94479a7d540a8000f996fcd60bb8335ff106f8404f7278b24c7a3912f608e57

Observation bdf2ef05-fef2-44ad-b5c2-50f7d69a3cf9 · outbound

This paper cites Fourcastnet: Accelerating global high-resolution weather forecasting using adaptive fourier neural operators.

When is a System Discoverable from Data? Discovery Requires Chaos Fourcastnet: Accelerating global high-resolution weather forecasting using adaptive fourier neural operators

Reference 84

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source=arxiv_source observed=2026-08-03T22:50:30.891859Z digest=sha256:3e08bbf7bc9d715e844a73499a10e9bf9bb4a775420f0aabf6d61e4446c49a34

Observation 838fffc7-28e0-4f83-abb9-7c5592e0e80e · outbound

This paper cites Nathan Kutz.

When is a System Discoverable from Data? Discovery Requires Chaos Nathan Kutz

Reference 85

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source=arxiv_source observed=2026-08-03T22:50:30.895345Z digest=sha256:2cb4da5b9e0e7060decc82136a6e8e96bc349492167c939b38f1932b3d1bcc6f

Observation 96106467-185b-4ecf-bab5-dc1ef5d52d89 · outbound

This paper cites Dynamic mode decomposition: data-driven modeling of complex systems.

When is a System Discoverable from Data? Discovery Requires Chaos Dynamic mode decomposition: data-driven modeling of complex systems

Reference 86

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source=arxiv_source observed=2026-08-03T22:50:30.898953Z digest=sha256:e9cdf0b3ec31bc95b70cd23c41f8b3988b4d6fbe89f537eb108b6e1ad5476242

Observation de7e46fa-5a20-4ebd-8801-74f7f77c0bff · outbound

This paper cites Contemporary symbolic regression methods and their relative performance.

When is a System Discoverable from Data? Discovery Requires Chaos Contemporary symbolic regression methods and their relative performance

Reference 87

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source=arxiv_source observed=2026-08-03T22:50:30.902771Z digest=sha256:ef1e9d8c00eca8ed7416755b6bcde5b869b2e1090eee7c76b29b5cce4cb20907

Observation 8ade85e0-642b-4846-8ebb-3048b8fad189 · outbound

This paper cites La Cava, Patryk Orzechowski, Bogdan Burlacu, Fabr \' cio Olivetti de Fran c a, Marco Virgolin, Ying Jin, Michael Kommenda, and Jason H.

When is a System Discoverable from Data? Discovery Requires Chaos La Cava, Patryk Orzechowski, Bogdan Burlacu, Fabr \' cio Olivetti de Fran c a, Marco Virgolin, Ying Jin, Michael Kommenda, and Jason H

Reference 88

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source=arxiv_source observed=2026-08-03T22:50:30.906241Z digest=sha256:0403f4ec47cb9534adf0c5074d9aa432c1a8d8ebc66e5d6eb53109ca41946086

Observation 9abd1642-5307-4c5b-be0a-9ac9c1336780 · outbound

This paper cites an unresolved cited work.

When is a System Discoverable from Data? Discovery Requires Chaos Unresolved cited work

Reference 89

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source=arxiv_source observed=2026-08-03T22:50:30.909807Z digest=sha256:44c4d777df972bbe7e249f85ec50b95b3752c08c90404ce1ab7a5ba1512e9c68

Observation 520f3b63-bcbb-4660-949b-c0bae07e9e64 · outbound

This paper cites Langley, Gary L.

When is a System Discoverable from Data? Discovery Requires Chaos Langley, Gary L

Reference 90

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source=arxiv_source observed=2026-08-03T22:50:30.913373Z digest=sha256:7cc5ff639929dfef35c648b0a98d2b0cac3bee648d58c5ce5290ed04555a31ef

Observation 8ab37d1f-fa3c-4e65-85af-ebd296af0751 · outbound

This paper cites Bayesian inverse problems are usually well-posed.

When is a System Discoverable from Data? Discovery Requires Chaos Bayesian inverse problems are usually well-posed

Reference 91

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source=arxiv_source observed=2026-08-03T22:50:30.917155Z digest=sha256:3277c04923e2269cc5103691f74a42d08ce63bcb4ce2a39aea0c43eafa5f5d59

Observation 5fbe9299-205a-4cb6-92e2-4b31d1c07e19 · outbound

This paper cites An example of a compact non-C-analytic real subvariety of ${\mathbb R}^3$.

When is a System Discoverable from Data? Discovery Requires Chaos An example of a compact non-C-analytic real subvariety of ${\mathbb R}^3$

Reference 92

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source=arxiv_source observed=2026-08-03T22:50:30.920679Z digest=sha256:4eca1454fbfee7c8698aba70be410f368327eb92b85c867488c0f7ad6f7029fa

Observation 8ff1df6b-c66d-45d6-ad5b-5d442c61f7f3 · outbound

This paper cites an unresolved cited work.

When is a System Discoverable from Data? Discovery Requires Chaos Unresolved cited work

Reference 93

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source=arxiv_source observed=2026-08-03T22:50:30.924602Z digest=sha256:113cab5f26933b5b264fe45eaf0e6cdc27d6085fc8968d26caa543e66e2c9c63

Observation becfdc13-669a-4022-819b-48edd0edd7a4 · outbound

This paper cites Estimation of Lyapunov dimension for the Chen and Lu systems.

When is a System Discoverable from Data? Discovery Requires Chaos Estimation of Lyapunov dimension for the Chen and Lu systems

Reference 94

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source=arxiv_source observed=2026-08-03T22:50:30.928259Z digest=sha256:b830b9e45cb0349a53d9e366d5b14e6c2b561dada068391f506be39dfb2510c7

Observation 6da5a809-d582-48da-ac6e-fe88ec4a530a · outbound

This paper cites Solving Seismic Wave Equations on Variable Velocity Models With Fourier Neural Operator.

When is a System Discoverable from Data? Discovery Requires Chaos Solving Seismic Wave Equations on Variable Velocity Models With Fourier Neural Operator

Reference 95

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source=arxiv_source observed=2026-08-03T22:50:30.932139Z digest=sha256:067938c193882f795583fa24ceeba3461a254097b5f7a87f0d8c7ddaadcac286

Observation 77236d95-1b3e-4111-846e-0d83317b0df4 · outbound

This paper cites Fourier neural operator for parametric partial differential equations.

When is a System Discoverable from Data? Discovery Requires Chaos Fourier neural operator for parametric partial differential equations

Reference 96

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source=arxiv_source observed=2026-08-03T22:50:30.935644Z digest=sha256:9aa9a1a2da08ad27fd482a330c416635d57a8fbb5e8b22eb4663f9bc4b7d3d1d

Observation 70bb5240-aef0-4f0d-b9d4-b7d1250acf33 · outbound

This paper cites A new chaotic attractor coined.

When is a System Discoverable from Data? Discovery Requires Chaos A new chaotic attractor coined

Reference 97

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source=arxiv_source observed=2026-08-03T22:50:30.939362Z digest=sha256:ba2689bbb908b1bcff9be8d015431612174fd41d239c55f6f2b18a105641d8a5

Observation adc85b9d-97ce-475e-ac9d-4e5a0ed4c18b · outbound

This paper cites DeepONet : Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators.

When is a System Discoverable from Data? Discovery Requires Chaos DeepONet : Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators

Reference 98

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source=arxiv_source observed=2026-08-03T22:50:30.943021Z digest=sha256:a21a01f60aef42f4bd5155a3d71751600301793ddde6a09044484be9b7fefcaa

Observation fe079ec4-284e-42eb-bd5a-2df330c2d88b · outbound

This paper cites The lorenz attractor is mixing.

When is a System Discoverable from Data? Discovery Requires Chaos The lorenz attractor is mixing

Reference 99

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source=arxiv_source observed=2026-08-03T22:50:30.946711Z digest=sha256:b7edbd4b9e97eb9a81357f933278b30b052c795fde2c4653e1d2bc4f04c4e5c1

Observation a7654c0c-526e-43a9-9c41-e4c93f2fe202 · outbound

This paper cites an unresolved cited work.

When is a System Discoverable from Data? Discovery Requires Chaos Unresolved cited work

Reference 100

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source=arxiv_source observed=2026-08-03T22:50:30.950407Z digest=sha256:137240d50fd0e4e8d4e3d260d58844cef95ef3c9f85fb0238f9dd42d6da45819

Pith citing papers

Observation d7b1389b-5eab-4f8f-8435-22b34b531e13 · inbound

Symbolic recovery of PDEs from measurement data cites this paper.

Symbolic recovery of PDEs from measurement data When is a System Discoverable from Data? Discovery Requires Chaos

Reference 95

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arxiv_id, observed 2026-07-07T02:15:59.317641Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 2581c0e7-abf7-4c22-860c-d0012bab6107 · inbound

Theory and interpretability of Quantum Extreme Learning Machines: a Pauli-transfer matrix approach cites this paper.

Theory and interpretability of Quantum Extreme Learning Machines: a Pauli-transfer matrix approach When is a System Discoverable from Data? Discovery Requires Chaos

Reference 67

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arxiv_id, observed 2026-07-07T02:15:59.317641Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-15T20:26:21.639717Z digest=sha256:cbd978c599f14c8658dd5c98604b3ec18a2c5044bfe498fa691078167cc3f273

Observation d08e54e4-9b9b-4c23-a269-7b0f440fb7cf · inbound

Flow map learning in nonlinear vector autoregressive models: influence of the feature-library structure on the training error cites this paper.

Flow map learning in nonlinear vector autoregressive models: influence of the feature-library structure on the training error When is a System Discoverable from Data? Discovery Requires Chaos

Reference 63

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-06-28T23:19:08.971339Z digest=sha256:9b8b09673454565a1bd2e9a4d4c8404693f4ac9e7c5291d56efd503ff86a5048

Observation 91312f1e-e86f-4f35-b7e1-ea0a46713376 · inbound

How Low Can You Go? Active Learning for Sparse Model Discovery in the Ultra-Low-Data Limit cites this paper.

How Low Can You Go? Active Learning for Sparse Model Discovery in the Ultra-Low-Data Limit When is a System Discoverable from Data? Discovery Requires Chaos

Reference 2

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-06-27T10:30:51.792347Z digest=sha256:f4535cba1f5c2c82beaeae1014d85f0cdec4dc9cce2cf7269be4fb34a5713259

Observation ef604a45-0a09-49b0-bef9-f7b24be85b95 · inbound

Attractor Geometry Determines the Identifiability Limits of System Discovery cites this paper.

Attractor Geometry Determines the Identifiability Limits of System Discovery When is a System Discoverable from Data? Discovery Requires Chaos

Reference 13

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