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Paper Citation Record · LEDGER

On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement

As of 11 August 2026, this Paper Citation Record lists 100 of 117 outbound references and 0 inbound Pith citation observations for arXiv:2607.23753.

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

pith.paper-citation-record.v1
2607.23753 v1

Coverage vector

measured 100 of 117 reference resolution

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Reference resolution

100 of 117 outbound references displayed

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Outbound references

Observation 897daec2-cedf-4169-9250-acd10cf9e2ab · outbound

This paper cites an unresolved cited work.

On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement Unresolved cited work

Reference 1

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Observation e6a3e57d-3faf-4fc8-b7ef-027dbc926535 · outbound

This paper cites Stuart, and Anima Anandkumar.

On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement Stuart, and Anima Anandkumar

Reference 2

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Observation 63c9e1ec-88ac-449b-bbe5-c6556024b5f0 · outbound

This paper cites Kevrekidis, Lu Lu, Paris Perdikaris, Sifan Wang, and Liu Yang.

On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement Kevrekidis, Lu Lu, Paris Perdikaris, Sifan Wang, and Liu Yang

Reference 3

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Observation 5a26c61b-a9e5-4438-a105-61775e50947a · outbound

This paper cites Brunton, Joshua L.

On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement Brunton, Joshua L

Reference 4

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Observation 42ad4572-5d34-4ce0-bc74-291f924f6852 · outbound

This paper cites PDE-net: Learning PDEs from data.

On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement PDE-net: Learning PDEs from data

Reference 5

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Observation 659751ed-d81e-4777-b505-9372b20ecde8 · outbound

This paper cites A Robust SINDy Approach by Combining Neural Networks and an Integral Form.

On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement A Robust SINDy Approach by Combining Neural Networks and an Integral Form

Reference 6

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Observation fd99b6e5-1e5c-444c-836b-3d3e5fc8c80e · outbound

This paper cites Pde-learn: Using deep learning to discover partial differential equations from noisy, limited data.Neural Networks, 174:106242, 2024.

On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement Pde-learn: Using deep learning to discover partial differential equations from noisy, limited data.Neural Networks, 174:106242, 2024

Reference 7

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Observation 05f38231-0cbd-403c-a820-4e2c430bf237 · outbound

This paper cites Unrolled-sindy: A stable explicit method for non linear pde discovery from sparsely sampled data.

On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement Unrolled-sindy: A stable explicit method for non linear pde discovery from sparsely sampled data

Reference 8

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Observation 365d0057-52aa-4f01-8995-98ec7aff0c0a · outbound

This paper cites PhysPDE: Rethinking PDE discovery and a physical HYpothesis selection benchmark.

On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement PhysPDE: Rethinking PDE discovery and a physical HYpothesis selection benchmark

Reference 9

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Observation 73d6927b-aa1b-4b27-b2dc-bddef73876dc · outbound

This paper cites Nathan Kutz, and Steven L.

On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement Nathan Kutz, and Steven L

Reference 10

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Observation f83acc1f-6665-437c-b2b6-efd24f466ef0 · outbound

This paper cites Discovery of partial differential equations from highly noisy and sparse data with physics-informed information criterion.Research, 6, January 2023.

On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement Discovery of partial differential equations from highly noisy and sparse data with physics-informed information criterion.Research, 6, January 2023

Reference 11

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Observation 10b79d93-2537-4a89-af47-0e31a37978ac · outbound

This paper cites Mdbench: Bench- marking data-driven methods for model discovery.

On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement Mdbench: Bench- marking data-driven methods for model discovery

Reference 12

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Observation 4e5dfc3d-9222-4794-b127-2545fd09a7ca · outbound

This paper cites Ap- proximation Error of Sobolev Regular Functions with tanh Neural Networks: Theoretical Impact on PINNs.

On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement Ap- proximation Error of Sobolev Regular Functions with tanh Neural Networks: Theoretical Impact on PINNs

Reference 13

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Observation 201af8e5-3aee-4cd9-beca-a0d0f98f7ce7 · outbound

This paper cites Error estimates for physics-informed neural networks approximating the navier–stokes equations.IMA Journal of Numerical Analysis, 44(1):83–119, 02 2024.

On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement Error estimates for physics-informed neural networks approximating the navier–stokes equations.IMA Journal of Numerical Analysis, 44(1):83–119, 02 2024

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Observation a692386e-6cbd-4351-8ec0-6da1aaa3d806 · outbound

This paper cites On the convergence of PINNs.Bernoulli, 31(3):2127 – 2151, 2025.

On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement On the convergence of PINNs.Bernoulli, 31(3):2127 – 2151, 2025

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Observation bf7f9145-cf31-4e81-bb1a-c2330bc624e5 · outbound

This paper cites Miettinen.Nonlinear multiobjective optimization.

On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement Miettinen.Nonlinear multiobjective optimization

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Observation fd41541d-8894-4c18-bced-3d7e7477837b · outbound

This paper cites Ro- drigues.

On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement Ro- drigues

Reference 17

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Observation 69ec4d9c-393c-454a-8364-edc7cf641555 · outbound

This paper cites Data-driven discovery of governing differential equations across physical systems.

On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement Data-driven discovery of governing differential equations across physical systems

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On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement Lagergren, John T

Reference 19

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Observation fdae7deb-6e4b-4622-bdb3-5d881d8aba01 · outbound

This paper cites Mechanistic PDE networks for dis- covery of governing equations.

On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement Mechanistic PDE networks for dis- covery of governing equations

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Observation 78baf555-a708-40d2-a425-74863cb2e057 · outbound

This paper cites Data-driven discovery of PDEs via the adjoint method.Transactions on Machine Learning Research, 2025.

On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement Data-driven discovery of PDEs via the adjoint method.Transactions on Machine Learning Research, 2025

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Observation 2d5cdc89-3803-43a8-9821-9a46caa78748 · outbound

This paper cites On the stability of feature selection algorithms.Journal of Machine Learning Research, 18(174):1–54, 2018.

On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement On the stability of feature selection algorithms.Journal of Machine Learning Research, 18(174):1–54, 2018

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Observation d9cc9dd0-7049-4505-8682-a8185b0bde78 · outbound

This paper cites Learning sparse nonlinear dynamics via mixed-integer optimization.Nonlinear Dynamics, 7(11), 2022.

On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement Learning sparse nonlinear dynamics via mixed-integer optimization.Nonlinear Dynamics, 7(11), 2022

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Observation 53ddbad4-746d-46b4-91d1-668ab4e6bb76 · outbound

This paper cites Tanimoto random features for scalable molecular machine learning.

On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement Tanimoto random features for scalable molecular machine learning

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Observation 2524fcab-202a-454b-96cf-10af8dd71d9f · outbound

This paper cites Dynamic bayesian optimization framework for instruction tuning in partial differential equation discovery.

On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement Dynamic bayesian optimization framework for instruction tuning in partial differential equation discovery

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Observation 19de78c9-1783-4296-b968-1044245ebcad · outbound

This paper cites Data-driven discovery of dynamical systems in pharmacology using large language models.

On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement Data-driven discovery of dynamical systems in pharmacology using large language models

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Observation 3a91ef28-0303-4916-a77e-d43a150137c1 · outbound

This paper cites Foundation models for equation discovery in high energy physics.

On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement Foundation models for equation discovery in high energy physics

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On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement Unresolved cited work

Reference 28

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Observation a6fa53da-ee89-49a8-9b05-a7252756b6ec · outbound

This paper cites Influence-Guided Symbolic Regression: Scientific Discovery via LLM-Driven Equation Search with Granular Feedback.

On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement Influence-Guided Symbolic Regression: Scientific Discovery via LLM-Driven Equation Search with Granular Feedback

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On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement Messenger and David M

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On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement Fasel, J

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This paper cites Callaghan, and Dongxiao Zhang.

On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement Callaghan, and Dongxiao Zhang

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Observation 5752a8ba-8310-4f89-af56-a38006429d31 · outbound

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On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement Discovering symbolic partial differ- ential equation by abductive learning

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Observation 1021c8ad-691f-4b3b-8905-a7afdfff93f8 · outbound

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On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement Learning gradient flow: Using equation discovery to accelerate engineering optimization.Computer Methods in Applied Mechanics and Engineering, 460:119099, 2026

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Observation 7e475dd1-0a08-491b-a9f6-46ff5fccfb37 · outbound

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Observation e17e6929-de2f-41d0-9379-8fcea54f1964 · outbound

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On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement Evaluating PDE discovery methods for multiscale modeling of biological signals

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Observation f2743ef8-ef7d-49bb-b424-d263284c3ef0 · outbound

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On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement J¨ arvelin and J

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Observation 953e3ea1-5907-4a69-9f67-0e383fe1ead7 · outbound

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Observation 6dac3df4-7cf9-4998-ab9b-14dfa8f6515a · outbound

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On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement Dimensionally-consistent equation discovery through probabilistic attribute grammars.Information Sciences, 632:742–756, 2023

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source=pdf_text observed=2026-07-30T13:41:05.331546Z digest=sha256:8637764271a8d551feea49f3929fb1fdeeb1386932879cee35cf23949b588926

Observation 8ef41b3d-2870-4190-ae45-95d33d09d417 · outbound

This paper cites Nexus: A revolutionary framework for autonomous equation discovery.

On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement Nexus: A revolutionary framework for autonomous equation discovery

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source=pdf_text observed=2026-07-30T13:41:05.431917Z digest=sha256:719b3b74fccfb3a4aee6a7c5e41a94360530a781d01ddbf26256c77cb664d641

Observation 0ffae51b-0d6c-4d16-b1fd-3cde01ec58ec · outbound

This paper cites Holden and N.

On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement Holden and N

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source=pdf_text observed=2026-07-30T13:41:05.521461Z digest=sha256:87906cad30481d49e9d623b4956c339fb136d88a167838fb315ef1c8fd6bcd6b

Observation 51b90e67-946c-4cba-9534-8823d934ee61 · outbound

This paper cites Hairer, C.

On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement Hairer, C

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source=pdf_text observed=2026-07-30T13:41:05.715752Z digest=sha256:46262f06f88e78e56b195f2a85bc139b38d6d7a9bbde2d98336b37e3a663bc14

Observation 14f6fad2-db59-4906-a2b9-e96cd68ef9af · outbound

This paper cites Photonic Learning in Ultrafast Laser-Induced Complexity.Ultrafast Sci- ence, March 2026.

On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement Photonic Learning in Ultrafast Laser-Induced Complexity.Ultrafast Sci- ence, March 2026

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source=pdf_text observed=2026-07-30T13:41:05.794500Z digest=sha256:b1d6b47ca469554a949004931b4e46a59446980429059eb64b9b95c128353af3

Observation c4a33d03-30a6-496b-a0c9-852471c805b5 · outbound

This paper cites Discovery of Nonlinear Dynamics with Automated Basis Function Generation.

On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement Discovery of Nonlinear Dynamics with Automated Basis Function Generation

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no resolver link, observed 2026-07-30T13:41:05.901696Z

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source=pdf_text observed=2026-07-30T13:41:05.901696Z digest=sha256:4f3b3c30e4eb30e6b6816c8229733860dfb9b67a26f43730ed1c46cfb87bd960

Observation 6d42b305-7224-44c8-b1bd-fc401a2f93f7 · outbound

This paper cites Brenner and Larkin R.

On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement Brenner and Larkin R

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source=pdf_text observed=2026-07-30T13:41:06.043715Z digest=sha256:eba2ca35c42463089297adeaf05a3ee77611a59d071a041ffd957e6ef662c01e

Observation 430cd95d-4700-4889-8577-90b676ffbc35 · outbound

This paper cites an unresolved cited work.

On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement Unresolved cited work

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source=pdf_text observed=2026-07-30T13:41:06.119458Z digest=sha256:aabdbd11c5e71a348fd5ff7ddefbf057cf9dad4e0ac8e90f5756f1f3be93cbc9

Observation f7811e4e-ee65-4561-86f7-3f6612c2b3aa · outbound

This paper cites Latent space symmetry discovery.

On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement Latent space symmetry discovery

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source=pdf_text observed=2026-07-30T13:41:06.196716Z digest=sha256:c064af3c821df4cebe4ba2d3291527c8c71b215259c811592a738dc6dcb33f62

Observation c28de62b-99ef-4c43-a9d0-488363a4abed · outbound

This paper cites an unresolved cited work.

On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement Unresolved cited work

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source=pdf_text observed=2026-07-30T13:41:06.292065Z digest=sha256:924ed9583adc7a2b7e6f6a6a61a2df1ad1d87e1954b5928d30672fb2a183d063

Observation 679cbc42-4f52-47ea-aeda-b312f2c4ad1b · outbound

This paper cites Smeulders.

On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement Smeulders

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source=pdf_text observed=2026-07-30T13:41:06.422570Z digest=sha256:6123537edd2ad87b57acfdfda3b310f38d21f8cb4e80af114120180a155159ea

Observation ed0c6ed4-051e-4e79-a033-447e5bae90fd · outbound

This paper cites Discovering physics laws of dynamical systems via invariant function learning.

On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement Discovering physics laws of dynamical systems via invariant function learning

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source=pdf_text observed=2026-07-30T13:41:06.491382Z digest=sha256:adf156fcc3860ab819655de77ddeebdcf2565c4cde4ebb79387cede5302cb1cd

Observation 83cc0ad5-b284-42ec-80e4-a695fffbc2d8 · outbound

This paper cites Symmetry-informed governing equation discovery.

On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement Symmetry-informed governing equation discovery

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Resolution
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source=pdf_text observed=2026-07-30T13:41:06.558951Z digest=sha256:6b271a36b2ca25eaf3558fcff10184664ee248dd216b96216782bc6ce6487b6b

Observation 8603a2b5-dba6-48c2-a92b-804b446a0b7d · outbound

This paper cites Automatic symme- try discovery with lie algebra convolutional network.

On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement Automatic symme- try discovery with lie algebra convolutional network

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source=pdf_text observed=2026-07-30T13:41:06.637602Z digest=sha256:10eb0d3bd6e088941890eebec77142cd7ef807c27f0a4470b11084251db7ec77

Observation 3d3437df-7816-4860-94de-8f1cc1887cd6 · outbound

This paper cites Automated discovery of conservation laws via hybrid neural ode-transformers.

On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement Automated discovery of conservation laws via hybrid neural ode-transformers

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source=pdf_text observed=2026-07-30T13:41:06.705072Z digest=sha256:d95a6687a847f7000022e308f729dced78d6a5dea1d04386a2f80905274851a4

Observation a5f9ebec-3b09-41d6-94ed-a1eda5b13802 · outbound

This paper cites Data-Driven Discovery of Conservation Laws from Trajectories via Neural Deflation.

On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement Data-Driven Discovery of Conservation Laws from Trajectories via Neural Deflation

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source=pdf_text observed=2026-07-30T13:41:06.790601Z digest=sha256:78aa98655c0b27b4ec4938a2cfefbd3299fc645050751d609f59e4560eccbf3c

Observation d97ea4cb-7a01-4ea3-9f9d-25a56f17e1fb · outbound

This paper cites an unresolved cited work.

On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement Unresolved cited work

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source=pdf_text observed=2026-07-30T13:41:06.861110Z digest=sha256:e30a1c370b6a233f0298291669327beed6432b216411246cb9917c33e291cb63

Observation 1c50495e-ea97-4c5c-92a7-315fdc2260da · outbound

This paper cites A visual dive into conditional flow matching.

On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement A visual dive into conditional flow matching

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source=pdf_text observed=2026-07-30T13:41:06.935804Z digest=sha256:02a4a87b94b1fb4f589d2a35986597196ff761eb9c4ad8f3901e215bbfff1ec6

Observation a2c5b609-68e8-40f6-9e97-e3404c7ea580 · outbound

This paper cites M´ emoire sur la th´ eorie des d´ eblais et de remblais.Histoire de l’Acad´ emie Royale des Sciences de Paris, page 666–704, 1781.

On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement M´ emoire sur la th´ eorie des d´ eblais et de remblais.Histoire de l’Acad´ emie Royale des Sciences de Paris, page 666–704, 1781

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source=pdf_text observed=2026-07-30T13:41:07.007734Z digest=sha256:9af8df027b002fc2ef8dd8021036a0ffd35887f8d0da0f278dbca6c0b8c16c78

Observation 2f2788bb-9a4f-4ca3-a459-5e9be6ec0e3f · outbound

This paper cites Sinkhorn distances: Lightspeed computation of optimal transport.

On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement Sinkhorn distances: Lightspeed computation of optimal transport

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source=pdf_text observed=2026-07-30T13:41:07.082585Z digest=sha256:f3d1a3ad339f9cac756f0f7f71b87859d89f2b7d03515c28805c3c93eaae092c

Observation 7a242e25-ffe6-4891-815a-00709fe9169c · outbound

This paper cites Wasserstein generative adversarial net- works.

On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement Wasserstein generative adversarial net- works

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source=pdf_text observed=2026-07-30T13:41:07.159140Z digest=sha256:74578683893de8af1716c542722171e2615bad6df7efc075437d28669b7e1197

Observation a6988adf-7089-4bd6-8b68-5038c529213c · outbound

This paper cites Euclidean, Metric, and Wasserstein gradient flows: an overview.Math.

On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement Euclidean, Metric, and Wasserstein gradient flows: an overview.Math

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source=pdf_text observed=2026-07-30T13:41:07.231808Z digest=sha256:bb6eafa5d910aaddd64901c5e3a6a91817dacf8c3784cc14dc304875f6c0869c

Observation b51c450f-c54c-476a-881a-dfc291e1ff08 · outbound

This paper cites Peletier, Giuseppe Savar´ e, and Marco Veneroni.

On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement Peletier, Giuseppe Savar´ e, and Marco Veneroni

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source=pdf_text observed=2026-07-30T13:41:07.298145Z digest=sha256:cad4b52cf364accbc9f8b36a0ccfbe22e6299541fde54a94e31a19265c2869dd

Observation fe7a9744-e796-4472-99c2-a8a1e0e209a7 · outbound

This paper cites an unresolved cited work.

On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement Unresolved cited work

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source=pdf_text observed=2026-07-30T13:41:07.391607Z digest=sha256:d0d529e05925ffa5e4e01d995a0edd6b53ebd94aed2bd220243f44f3a53c437c

Observation cef8f252-f82d-4215-ba7c-016b78eb719e · outbound

This paper cites A multiscale approach to optimal transport.Computer Graphics Forum, 30:1583 – 1592, 2011 2011.

On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement A multiscale approach to optimal transport.Computer Graphics Forum, 30:1583 – 1592, 2011 2011

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source=pdf_text observed=2026-07-30T13:41:07.465896Z digest=sha256:933151f0288e44eb9fafdecb00c0578cbe0c06a324cae62a5fffeb3b63ade56e

Observation 01e13e4d-f09e-49fb-b355-d0f25e09b80c · outbound

This paper cites Augmented Lagrangian methods for transport optimization, mean field games and degenerate elliptic equations.J.

On the post-hoc Evaluation of PDE Discovery: A Multifaceted Challenge of Scientific Advancement Augmented Lagrangian methods for transport optimization, mean field games and degenerate elliptic equations.J

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source=pdf_text observed=2026-07-30T13:41:07.541610Z digest=sha256:c0c7ae39253334c90a49998204c487fe2894792d0586b2ff8b67e9e7daa865d9

Pith citing papers

No inbound Pith citation observations are available.