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Paper Citation Record · LEDGER

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations

As of 8 August 2026, this Paper Citation Record lists 67 of 67 outbound references and 0 inbound Pith citation observations for arXiv:2608.05777.

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

pith.paper-citation-record.v1
2608.05777 v1

Coverage vector

measured 67 of 67 reference resolution

Typed states for the displayed outbound observations.

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measured 67 of 67 standing notices

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measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Reference resolution

67 of 67 outbound references displayed

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External citation measurements

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Outbound references

Observation 0879d73b-a6e6-4dd6-bbd1-eaf329abea5f · outbound

This paper cites an unresolved cited work.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Unresolved cited work

Reference 1

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Observation 4bec9536-cb99-423c-8bce-870bc96871e3 · outbound

This paper cites Bessler, and Rainer Gasper.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Bessler, and Rainer Gasper

Reference 2

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This paper cites Androulakis, Peter Bonate, Limei Cheng, Tomáš Helikar, Jaimit Parikh, Christopher Rackauckas, Kalyanasundaram Subramanian, Carolyn R.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Androulakis, Peter Bonate, Limei Cheng, Tomáš Helikar, Jaimit Parikh, Christopher Rackauckas, Kalyanasundaram Subramanian, Carolyn R

Reference 3

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Observation 9503f113-5c66-4155-90be-ef6e891cc6ed · outbound

This paper cites Levine, Dessi P.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Levine, Dessi P

Reference 4

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Observation a4e08a51-0c4e-4c89-9801-ee404de2cf62 · outbound

This paper cites Universal Differential Equations for Scientific Machine Learning.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Universal Differential Equations for Scientific Machine Learning

Reference 5

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Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Unresolved cited work

Reference 6

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Observation e31d3be8-ad9a-4fbc-bd6d-04de3e325f51 · outbound

This paper cites Developing hybrid mechanistic and data-driven personalized prediction models for platelet dynamics.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Developing hybrid mechanistic and data-driven personalized prediction models for platelet dynamics

Reference 7

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Observation b85c7254-f64c-451e-b669-af8e9b0b319a · outbound

This paper cites an unresolved cited work.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Unresolved cited work

Reference 8

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Observation d7e4b347-c1d3-4f02-a4de-35e8155a5b1b · outbound

This paper cites Inte- grating Expert ODEs into Neural ODEs: Pharmacology and Disease Progression.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Inte- grating Expert ODEs into Neural ODEs: Pharmacology and Disease Progression

Reference 9

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Observation 843dc441-b289-493c-8802-94605581b493 · outbound

This paper cites Neural-ODE for pharmacokinetics modeling and its advantage to alternative machine learning models in predicting new dosing regimens.iScience, 24(7):102804, July 2021.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Neural-ODE for pharmacokinetics modeling and its advantage to alternative machine learning models in predicting new dosing regimens.iScience, 24(7):102804, July 2021

Reference 10

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Observation 412f8088-9147-42f8-ae82-5f9a6c8d8d03 · outbound

This paper cites Low- dimensional neural ODEs and their application in pharmacokinetics.Journal of Pharma- cokinetics and Pharmacodynamics, 51(2):123–140, April 2024.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Low- dimensional neural ODEs and their application in pharmacokinetics.Journal of Pharma- cokinetics and Pharmacodynamics, 51(2):123–140, April 2024

Reference 11

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Observation 2e2bd17c-72e6-4c82-a038-a83ae469d9ee · outbound

This paper cites A Machine Learning-Aided Global Diagnostic and Comparative Tool to Assess Effect of Quarantine Control in COVID-19 Spread.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations A Machine Learning-Aided Global Diagnostic and Comparative Tool to Assess Effect of Quarantine Control in COVID-19 Spread

Reference 12

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Observation 23065783-1e51-49dd-9d38-c05d83e99b2a · outbound

This paper cites Singer, Seyed M.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Singer, Seyed M

Reference 13

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Observation d17403ef-0be5-4453-9fc6-425c8a185955 · outbound

This paper cites Nguyen, Alan Edelman, Erin C.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Nguyen, Alan Edelman, Erin C

Reference 14

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Source-reported events for the cited work

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Observation 024f5946-356a-457f-831d-03ef8af23f05 · outbound

This paper cites NeuralFMU: Presenting a Workflow for Integrating Hybrid NeuralODEs into Real-World Applications.Electronics, 11(19):3202, January 2022.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations NeuralFMU: Presenting a Workflow for Integrating Hybrid NeuralODEs into Real-World Applications.Electronics, 11(19):3202, January 2022

Reference 15

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Observation b8f2e0d5-5c41-4fbb-bf89-b14a4e62bb5c · outbound

This paper cites Homotopy-based training of NeuralODEs for accurate dynamics discovery.Advances in Neural Information Processing Systems, 36:64725–64752, December 2023.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Homotopy-based training of NeuralODEs for accurate dynamics discovery.Advances in Neural Information Processing Systems, 36:64725–64752, December 2023

Reference 16

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Observation db869a2a-0c92-4a00-8d8c-39fafa3bab9b · outbound

This paper cites Current state and open problems in universal differential equations for systems biology.npj Systems Biology and Applications, 11(1):101, August 2025.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Current state and open problems in universal differential equations for systems biology.npj Systems Biology and Applications, 11(1):101, August 2025

Reference 17

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Observation 83caafab-1479-4e46-b32d-d8a9074f6bbf · outbound

This paper cites Ode to an ODE.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Ode to an ODE

Reference 18

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Observation e93f0c55-920e-4f08-a61b-cc019de25fc3 · outbound

This paper cites How to Train Your Neural ODE: the World of Jacobian and Kinetic Regularization.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations How to Train Your Neural ODE: the World of Jacobian and Kinetic Regularization

Reference 19

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Observation 4cf367e9-d56b-4fe7-8181-3ea91d52fbf0 · outbound

This paper cites LyaNet: A Lyapunov Framework for Training Neural ODEs.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations LyaNet: A Lyapunov Framework for Training Neural ODEs

Reference 20

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This paper cites Non- Negative Universal Differential Equations With Applications in Systems Biology.IFAC- PapersOnLine, 58(23):25–30, January 2024.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Non- Negative Universal Differential Equations With Applications in Systems Biology.IFAC- PapersOnLine, 58(23):25–30, January 2024

Reference 21

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Observation e67a0aaa-e9a6-4500-9daa-dbc50f3c3e9c · outbound

This paper cites FxTS-Net: Fixed-time stable learning framework for Neural ODEs.Neural Networks, 185:107219, May 2025.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations FxTS-Net: Fixed-time stable learning framework for Neural ODEs.Neural Networks, 185:107219, May 2025

Reference 22

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Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Unresolved cited work

Reference 23

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Observation 095f830f-32e5-4b78-8c42-1af03510661b · outbound

This paper cites Multiple Shooting for Training Neural Differential Equations on Time Series.IEEE Control Systems Letters, 6:1897–1902, 2022.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Multiple Shooting for Training Neural Differential Equations on Time Series.IEEE Control Systems Letters, 6:1897–1902, 2022

Reference 24

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Observation befe0c60-b939-4e03-9372-2bf207ee08e3 · outbound

This paper cites DiffEqFlux.jl - A Julia Library for Neural Differential Equations, February 2019.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations DiffEqFlux.jl - A Julia Library for Neural Differential Equations, February 2019

Reference 25

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Observation b821f1a6-79f9-4dc7-80b0-857cd000842c · outbound

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Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Unresolved cited work

Reference 26

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Observation ff66e582-7324-47ee-9d6c-81699f4ca3b4 · outbound

This paper cites Benchmark problems for dynamic modeling of intracellular processes.Bioinformatics, 35(17):3073–3082, September 2019.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Benchmark problems for dynamic modeling of intracellular processes.Bioinformatics, 35(17):3073–3082, September 2019

Reference 27

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Observation 5ae0ed4e-73a6-4ff1-9711-371d89d51094 · outbound

This paper cites Augmented Neural ODEs.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Augmented Neural ODEs

Reference 28

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Observation 8dff8d05-2c7b-4e3d-bae2-d90984b6dadb · outbound

This paper cites Harms, Fabian J.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Harms, Fabian J

Reference 29

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Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Unresolved cited work

Reference 30

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Observation 994ff4a7-910d-48c5-bd02-0470c3cd9384 · outbound

This paper cites Prediction error estimation methods.Circuits, Systems and Signal Processing, 21(1):11–21, January 2002.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Prediction error estimation methods.Circuits, Systems and Signal Processing, 21(1):11–21, January 2002

Reference 31

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Observation 2bf533c6-5111-43fe-a970-b54769aeab27 · outbound

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Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Unresolved cited work

Reference 32

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Observation 29ac8209-3e60-441b-9aa5-ec73a048a7b6 · outbound

This paper cites Augmenting physical models with deep networks for complex dynamics forecasting*.Journal of Statistical Mechanics: Theory and Experiment, 2021(12): 124012, December 2021.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Augmenting physical models with deep networks for complex dynamics forecasting*.Journal of Statistical Mechanics: Theory and Experiment, 2021(12): 124012, December 2021

Reference 33

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Observation e6bb257d-13ea-4a7e-b084-5f8d1de2dcb6 · outbound

This paper cites Sparsity in Continuous-Depth Neural Networks.Advances in Neural Information Processing Systems, 35:901–914, December 2022.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Sparsity in Continuous-Depth Neural Networks.Advances in Neural Information Processing Systems, 35:901–914, December 2022

Reference 34

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:46:15.495590Z digest=sha256:05ba39d63a3e974d5c95ee29d93588c72e419a6d5b3c7c3ed71628e14ff77998

Observation 81b338f8-7ac5-4fdc-9206-d8c316c4dd35 · outbound

This paper cites Hamiltonian Neural Networks.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Hamiltonian Neural Networks

Reference 35

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raw_fallback, observed 2026-08-07T23:46:17.985688Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:46:15.499489Z digest=sha256:6c6f783af35384ca145e1addb623b317f9b298bbc531326d08a052c78d94eea1

Observation c177f020-d0ea-4d32-9f86-e2ea2c87eaea · outbound

This paper cites Discretize-Optimize vs. Optimize-Discretize for Time-Series Regression and Continuous Normalizing Flows.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Discretize-Optimize vs. Optimize-Discretize for Time-Series Regression and Continuous Normalizing Flows

Reference 36

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no resolver link, observed 2026-08-07T23:46:15.503522Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T23:46:15.503522Z digest=sha256:061abaad2c4e4443c1daead245cf80b71bb6c7046a69d9472cf04a4b3b3fbfa0

Observation 7264f889-3827-448d-8903-3d4d19978fca · outbound

This paper cites Stiff neural ordinary differential equations.Chaos: An Interdisciplinary Journal of Nonlinear Science, 31 (9), September 2021.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Stiff neural ordinary differential equations.Chaos: An Interdisciplinary Journal of Nonlinear Science, 31 (9), September 2021

Reference 37

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doi, observed 2026-08-07T23:46:15.751927Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:46:15.507819Z digest=sha256:c23d07f2ebcdb88363490457fb4a5de6ed4f1d80cce4f7b391550136fdbbef28

Observation b54cb0b7-3386-48f3-8ec4-a760f9fdfa3a · outbound

This paper cites On Neural Differential Equations.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations On Neural Differential Equations

Reference 38

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no resolver link, observed 2026-08-07T23:46:15.511875Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-07T23:46:15.511875Z digest=sha256:e3e0ae0c9236ae7d614c659267c46fbb4b9262012e9591b9ab4ecc58b4e960c0

Observation 79e6dc21-4f31-4bd3-b620-86d76cb090d6 · outbound

This paper cites Differentiable Programming for Differential Equations: A Review, October 2025.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Differentiable Programming for Differential Equations: A Review, October 2025

Reference 39

Resolution
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no resolver link, observed 2026-08-07T23:46:15.517253Z

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source=pdf_text observed=2026-08-07T23:46:15.517253Z digest=sha256:b736f0362500f7ccbd92c6704f06f916279fab55d36174cb8ecc56f9e5e2655d

Observation 87d446e2-f73a-49c8-b7ad-d49bf29fc2d5 · outbound

This paper cites Stable Long-Horizon Neural ODE Reduced-Order Models via Learned Feedback for Biological Growth and Remodeling.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Stable Long-Horizon Neural ODE Reduced-Order Models via Learned Feedback for Biological Growth and Remodeling

Reference 40

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local_arxiv, observed 2026-08-07T23:46:16.625971Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:46:15.521151Z digest=sha256:c718016d4b96a8c4a3a960329cdec757052d7de174178c5b3d690135bc631e88

Observation 4671ff87-e13d-40ae-af37-5624d9bb7b7f · outbound

This paper cites CRC Press, November 2001.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations CRC Press, November 2001

Reference 41

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raw_fallback, observed 2026-08-07T23:46:17.973368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:46:15.525527Z digest=sha256:f18dc3dafe6eca4cebdba81d58313a100aa52c96f352b9bd8a66ec155a5e56cf

Observation 605b585e-501f-4709-8f2e-110be05adc67 · outbound

This paper cites Hernandez-Vargas.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Hernandez-Vargas

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T23:46:17.960768Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:46:15.529405Z digest=sha256:ff0fc93d05b4d11ca8724a3723e89ef4b0c1734b1bd30623b76ffa12c668753c

Observation 6f5d6768-e17a-4430-a54c-596bea0a12ae · outbound

This paper cites Curriculum learning.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Curriculum learning

Reference 43

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arxiv_id_nonexistent, observed 2026-08-07T23:46:16.608779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:46:15.533423Z digest=sha256:0dbbe0da9c55ff67a5fb0cf2c7e6d452726b093c4bffd292c867d2faf55e7768

Observation e2d12d23-8183-4aee-a11a-9bd6b956b4e2 · outbound

This paper cites Curriculum Learning: A Survey.International Journal of Computer Vision, 130(6):1526–1565, June 2022.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Curriculum Learning: A Survey.International Journal of Computer Vision, 130(6):1526–1565, June 2022

Reference 44

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no resolver link, observed 2026-08-07T23:46:15.537568Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T23:46:15.537568Z digest=sha256:6cbb701ba196903507cc28a23f1f865b5d2bc70fad184c585611e1910ba6bb09

Observation bc344ede-059c-4738-bf21-83ef4430ec5e · outbound

This paper cites Ribeiro, Koen Tiels, Jack Umenberger, Thomas B.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Ribeiro, Koen Tiels, Jack Umenberger, Thomas B

Reference 45

Resolution
verified exact
arxiv_id_nonexistent, observed 2026-08-07T23:46:16.462515Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:46:15.541722Z digest=sha256:30cb33a5d1023fd1adae8c3bc5eeaa50e3080c3af51cedae3a4ed171fd4f3818

Observation 0b2ceb53-311d-4121-8160-aa511ab80cb5 · outbound

This paper cites Differentiable Multiple Shooting Layers.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Differentiable Multiple Shooting Layers

Reference 46

Resolution
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raw_fallback, observed 2026-08-07T23:46:17.947814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:46:15.545245Z digest=sha256:8c99bd586e41ad14b66009589f129ef7e9b44cd7c38044e653ea011e445b0170

Observation 62e7dbe1-bca6-447d-9768-e2d587b2ae4b · outbound

This paper cites Bergmann, Tacio Camba, Erika Dudkin, Janine Egert, Fabian Fröhlich, Lara Fuhrmann, Adrian L.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Bergmann, Tacio Camba, Erika Dudkin, Janine Egert, Fabian Fröhlich, Lara Fuhrmann, Adrian L

Reference 47

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no resolver link, observed 2026-08-07T23:46:15.549181Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T23:46:15.549181Z digest=sha256:27d7f6a744217ea073d997895a4092245906ed0e0523fadf912980ffbfdbc2b7

Observation eb2c7a28-06ef-46e2-a34f-4b56625677ef · outbound

This paper cites PEtab.jl: advancing the efficiency and utility of dynamic modelling.Bioinformatics, 41(9):btaf497, September 2025.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations PEtab.jl: advancing the efficiency and utility of dynamic modelling.Bioinformatics, 41(9):btaf497, September 2025

Reference 48

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verified exact
doi, observed 2026-08-07T23:46:15.731956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:46:15.552830Z digest=sha256:6388e6d1fcd9431f8feb047b34140afd5587fba6ee2c083271aa26940eb81178

Observation c22833ef-a2fc-418b-a792-5e61b535b45e · outbound

This paper cites an unresolved cited work.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Unresolved cited work

Reference 49

Resolution
verified exact
doi, observed 2026-08-07T23:46:15.719380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:46:15.556653Z digest=sha256:441f0254aa2427dbce0de1461512b8f7bcee206cabdfd8082388613b8b617d03

Observation 1a2ef600-02f9-43dc-8e28-fa979d4d3767 · outbound

This paper cites Distilling Free-Form Natural Laws from Experimental Data.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Distilling Free-Form Natural Laws from Experimental Data

Reference 50

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no resolver link, observed 2026-08-07T23:46:15.560554Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T23:46:15.560554Z digest=sha256:38ee459518155c861f751e7e461a7ac17a2509bfb6bf91d1468ffa1a232e2420

Observation 9206bde1-8a45-411b-8b42-ad81fade7651 · outbound

This paper cites A Simple Sequentially Rejective Multiple Test Procedure.Scandinavian Journal of Statistics, 6(2):65–70, 1979.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations A Simple Sequentially Rejective Multiple Test Procedure.Scandinavian Journal of Statistics, 6(2):65–70, 1979

Reference 51

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raw_fallback, observed 2026-08-07T23:46:17.927250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:46:15.564414Z digest=sha256:92fce1bf60e8e6af08c709c826d3b00c533029486be68012cea882a3e14b3846

Observation f0c9b442-de83-43d8-afea-df0708102d28 · outbound

This paper cites Kingma and Jimmy Ba.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Kingma and Jimmy Ba

Reference 52

Resolution
unresolved
no resolver link, observed 2026-08-07T23:46:15.568390Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T23:46:15.568390Z digest=sha256:ddb198197e6aed96b337a61be80c88a216652822659b8a57d0f337084f4b76fb

Observation 5eecfaf0-ac5a-4611-91e7-1eafc51b81ce · outbound

This paper cites Challenges in Training PINNs: A Loss Landscape Perspective.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Challenges in Training PINNs: A Loss Landscape Perspective

Reference 53

Resolution
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raw_fallback, observed 2026-08-07T23:46:17.905469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:46:15.576498Z digest=sha256:f18a71308a295240716d652f0e52d743dc3740ae96f32f060d73eee81c61d97a

Observation 742ead4a-6ecd-4334-b5a8-69b0485d1d32 · outbound

This paper cites an unresolved cited work.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Unresolved cited work

Reference 54

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T23:46:15.580338Z digest=sha256:971097f1e0bb08d5761db2cbfaf70d43b9438e1a7761b62c23d4bd7189cf9378

Observation 7dda7b82-2b37-499e-8501-393440196740 · outbound

This paper cites an unresolved cited work.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Unresolved cited work

Reference 55

Resolution
verified exact
arxiv_id_nonexistent, observed 2026-08-07T23:46:16.287660Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:46:15.584190Z digest=sha256:63d7b672ddb57497f87bb2791a0aa9593098626cfdb6fffc9ec8f22c882fd35a

Observation 5ba46c74-76b7-4dd7-bcf2-9cca4aee8bb4 · outbound

This paper cites Dissect- ing Neural ODEs.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Dissect- ing Neural ODEs

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T23:46:17.891413Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:46:15.587636Z digest=sha256:0fc4ff510cea3b663f82ed8017d00d1224be422fd1952ed751508204292220d2

Observation 0cd98411-bb52-43e6-81c6-d3fd34ffd015 · outbound

This paper cites On the difficulty of training recurrent neural networks.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations On the difficulty of training recurrent neural networks

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T23:46:17.878543Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:46:15.591281Z digest=sha256:9a02160239b4041192202c356bd42b1a194d9f75c8ceadc8adc273c88fd75610

Observation b228c4a6-2930-49f8-b652-64cc4076a04b · outbound

This paper cites Visualizing the Loss Landscape of Neural Nets.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Visualizing the Loss Landscape of Neural Nets

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T23:46:17.865641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:46:15.595092Z digest=sha256:aad66d42ad427080f0896f572889d60f1476615ba568353eb6e9aedac8fdc4a8

Observation 8cb069f7-3f99-4e6b-817e-1772b96e7de6 · outbound

This paper cites Biologically informed NeuralODEs for genome-wide regulatory dynamics.Genome Biology, 25(1):127, May 2024.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Biologically informed NeuralODEs for genome-wide regulatory dynamics.Genome Biology, 25(1):127, May 2024

Reference 59

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verified exact
doi, observed 2026-08-07T23:46:15.692932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:46:15.598808Z digest=sha256:b94ec7abb15c93d5d190820326e968352e23678448eea71f4a7eb5573dccaf59

Observation bfb82964-4348-48fc-ae98-1848098d8b47 · outbound

This paper cites an unresolved cited work.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Unresolved cited work

Reference 60

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raw_fallback, observed 2026-08-07T23:46:17.852507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:46:15.602587Z digest=sha256:9a966158947ad7291f2e3faedcf6b2e3c9506a17e8bf38036ba795611305dc71

Observation a72d7edd-4586-4658-8141-8d23b12d9b44 · outbound

This paper cites Forward-Mode Automatic Differentiation in Julia.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Forward-Mode Automatic Differentiation in Julia

Reference 61

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no resolver link, observed 2026-08-07T23:46:15.610621Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T23:46:15.610621Z digest=sha256:c91eef9136f1de96459456f4ec8b36fa8ec06dd8b3a690a4b428cd5b3e816726

Observation af7084e6-5d3d-4888-abd4-ccbcb07ca03b · outbound

This paper cites Gutenkunst, Joshua J.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Gutenkunst, Joshua J

Reference 62

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malformed identifier
raw_fallback, observed 2026-08-07T23:46:17.839774Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:46:15.614597Z digest=sha256:c6b4059d11d2c9c2beabd3c03fe1c3505314c014c458c2352fb06f57ea1548e3

Observation fa9ad2b5-16be-4fae-8126-320b87a79b4a · outbound

This paper cites Tsitouras.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Tsitouras

Reference 63

Resolution
unresolved
no resolver link, observed 2026-08-07T23:46:15.618623Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T23:46:15.618623Z digest=sha256:0c4b52b893d4720a552277deadb5db8dd282192a642af419bd570e2bb9ebe808

Observation 17db735d-3130-46ed-b1d5-ca446c96c429 · outbound

This paper cites Construction of Rosenbrock–Wanner method Rodas5P and numerical bench- marks within the Julia Differential Equations package.BIT Numerical Mathematics, 63(2):27, April 2023.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Construction of Rosenbrock–Wanner method Rodas5P and numerical bench- marks within the Julia Differential Equations package.BIT Numerical Mathematics, 63(2):27, April 2023

Reference 64

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doi, observed 2026-08-07T23:46:15.658739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:46:15.622641Z digest=sha256:651128f2efeb7f1ccdbb3c6106b854654925e195e674938940070ed896a3dbcc

Observation 9cd65e02-66f2-4d2d-97d6-fa0d8771bc9a · outbound

This paper cites Understanding the difficulty of training deep feedforward neural networks.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Understanding the difficulty of training deep feedforward neural networks

Reference 65

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arxiv_id_nonexistent, observed 2026-08-07T23:46:16.124445Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:46:15.626402Z digest=sha256:5f54303f7cbb1a448620aa8fac304579b5e8929a0d3bd8103141f4cbab60efdf

Observation 437735c8-1f5b-45fb-a56c-2d2154e5e76f · outbound

This paper cites Adam: A Method for Stochastic Optimization.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Adam: A Method for Stochastic Optimization

Reference 2017

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unresolved
no resolver link, observed 2026-08-07T23:46:15.572485Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T23:46:15.572485Z digest=sha256:0755f7661fc2f8617ba405d37805b5d56c84103ea784edacd71a5103c32f8cb9

Observation 8dfa4861-b4cc-4a64-9e88-4fc6fbdf9c2d · outbound

This paper cites doi: 10.1038/s42003-026-09758-w.

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations doi: 10.1038/s42003-026-09758-w

Reference 2026

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verified exact
doi, observed 2026-08-07T23:46:15.680764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:46:15.606533Z digest=sha256:a452cff3a56ef8e0c16c597626ce78857406559037302ce134129f51c0e87b0b

Pith citing papers

No inbound Pith citation observations are available.