Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T04:30:16.717375Z
Paper Citation Record · LEDGER
As of 21 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.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T04:30:16.717375Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
67 of 67 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 89b7605a-e007-44f1-962e-8d4a8f0f4bd1 · outbound
Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Unresolved cited work
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6094ac9c-c519-434f-a259-f4b07b629372 · outbound
Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Bessler, and Rainer Gasper
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 10931017-2a8b-4c2d-8e13-34b07914445a · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1493609c-c31f-453e-9d67-7b171a7c6b26 · outbound
Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Levine, Dessi P
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e39fe618-1451-4df2-8285-00cb8433fb80 · outbound
Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Universal Differential Equations for Scientific Machine Learning
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 186c51d6-766d-4f53-8c66-0e926f987c1c · outbound
Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Unresolved cited work
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6ba16886-1cda-4aaa-8d79-83505f8145ec · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation de45d292-42ea-4efd-86e2-5e7746543d7d · outbound
Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Unresolved cited work
Reference 8
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b85f925b-8ebc-4385-b94b-12577d4a39a6 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1c1645f1-36f6-4912-9160-1d871e16f851 · outbound
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation f493b542-689f-4946-8a9d-a413f14443af · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b5be6dd6-f3c3-4eaf-90fd-7747b426ec78 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 498ad4cf-63a0-4572-a6b5-0a199e9c5be9 · outbound
Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Singer, Seyed M
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation aa7b70c0-dc93-4d05-a6bd-c03aa76c3285 · outbound
Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Nguyen, Alan Edelman, Erin C
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 30553c8d-18b7-450c-b05a-1d8404a50266 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 679d2533-9728-4c99-b665-7641bb3a83fb · outbound
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 43fff23a-6ea2-481c-b1d1-bda21ef25eda · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3485571b-fe8e-4caf-a13c-89b831665df1 · outbound
Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Ode to an ODE
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c9df806b-7ba1-45ca-9735-62cec673ce12 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 343ca945-5a2c-4b5f-87f5-275eb84b2ae0 · outbound
Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations LyaNet: A Lyapunov Framework for Training Neural ODEs
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 22394ee8-c192-4d10-b316-eecfca2f54ea · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 70fafb26-b313-4854-9841-deb82888f175 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0f73d3d1-c98f-46cd-bf99-43cd14b1d2d3 · outbound
Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Unresolved cited work
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d9aa38b4-8505-4efe-ad4a-cdcdfb281f6e · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 22b8b542-2e53-4279-a822-9b000358938d · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7a60f4d5-1e90-454d-b88f-3642d5cc65bf · outbound
Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Unresolved cited work
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 3310ce82-dec5-495e-9733-3b32a84ffd8a · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 83f19936-45df-4150-947c-3076aea5910a · outbound
Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Augmented Neural ODEs
Reference 28
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a4ac2cfb-5676-47a1-b648-da07048d2f86 · outbound
Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Harms, Fabian J
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 09d3dc5e-78b2-4895-bfad-d597f2afbe9b · outbound
Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Unresolved cited work
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0d9485af-5ad4-4a2a-aaba-be6af2cc1b21 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ff2a14b5-cdf0-477c-bff5-7e5628e40365 · outbound
Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Unresolved cited work
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6f2fb4a2-f2a0-4a49-8116-053a46294bc9 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b01f6442-7245-420a-bde7-75dc29e60a94 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation eaccbcb3-ea57-4de9-8d60-0142ca8cd6b1 · outbound
Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Hamiltonian Neural Networks
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5cbd4d9b-6583-47dd-9f2a-50592be4c9ad · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bc803d7b-2870-4848-8542-8f50187ea8ee · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b9579766-c11f-4942-a0e1-5ec607bddc0d · outbound
Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations On Neural Differential Equations
Reference 38
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b1405a99-575a-41d0-8155-df74e89ecbf7 · outbound
Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Differentiable Programming for Differential Equations: A Review, October 2025
Reference 39
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2c29158a-1ade-4acf-a236-eae97db19f0a · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 98ae708c-c1f2-4a5d-96fd-5171a99f2b72 · outbound
Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations CRC Press, November 2001
Reference 41
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3cd65044-6cde-4480-843e-e3fc4011bb22 · outbound
Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Hernandez-Vargas
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation b4d069f0-4792-4a33-a511-713e7bfd4191 · outbound
Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Curriculum learning
Reference 43
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 02e00090-b241-42f7-97ae-b906688b87dc · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 086c272d-2f9b-4992-95fa-a84ec88efb0f · outbound
Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Ribeiro, Koen Tiels, Jack Umenberger, Thomas B
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 57183b47-00c8-42da-8d95-4a6077809b8a · outbound
Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Differentiable Multiple Shooting Layers
Reference 46
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1d570719-e560-4c66-a334-62be077ba817 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d8fe422e-d36a-40b7-87fd-91ef33321d48 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8bfaad87-ce8c-4086-844a-964f259f24ce · outbound
Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Unresolved cited work
Reference 49
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 74087cdf-0891-46ab-871c-0a8d88e9a3a4 · outbound
Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Distilling Free-Form Natural Laws from Experimental Data
Reference 50
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 03abe87b-f5e0-4d59-a6b7-c4f878d992f9 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a93a812e-68c9-43db-b1b3-3a8c9eed998c · outbound
Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Kingma and Jimmy Ba
Reference 52
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation efef89e5-c61b-4152-a234-6712501f7f6d · outbound
Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Challenges in Training PINNs: A Loss Landscape Perspective
Reference 53
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 225487ea-0e57-4166-b691-05e1c7b4c997 · outbound
Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Unresolved cited work
Reference 54
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c6b33aaa-91a6-424f-b637-e556f28211bb · outbound
Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Unresolved cited work
Reference 55
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c2930f8d-f3b8-47fa-ad7e-1bcf5f50cd9d · outbound
Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Dissect- ing Neural ODEs
Reference 56
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 95fa5625-f708-419d-8781-7246a630a80b · outbound
Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations On the difficulty of training recurrent neural networks
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation d3e512e8-aad7-4a4a-9051-fbf07498aafd · outbound
Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Visualizing the Loss Landscape of Neural Nets
Reference 58
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 11521b3e-1e76-4ace-843c-8c0e865adeee · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a47991dc-f9a5-4e91-ba4d-48a4ec4e2c77 · outbound
Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Unresolved cited work
Reference 60
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3e08dcb3-8d81-48ec-952d-fa747d57d262 · outbound
Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Forward-Mode Automatic Differentiation in Julia
Reference 61
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 86d40dfb-50b5-4f7c-8b95-a676e43a07fb · outbound
Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Gutenkunst, Joshua J
Reference 62
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 341fa8ea-5dae-4866-9113-61614f632622 · outbound
Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Tsitouras
Reference 63
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 65e14629-9575-476c-bd48-181250713737 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 10ad8938-eccb-4359-adc9-a172985bc8da · outbound
Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Understanding the difficulty of training deep feedforward neural networks
Reference 65
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 5507888f-123d-44a7-a848-3ec7bee75adc · outbound
Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations Adam: A Method for Stochastic Optimization
Reference 2017
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5a2daf91-476f-4e96-ad5a-a5e9120b5793 · outbound
Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations doi: 10.1038/s42003-026-09758-w
Reference 2026
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
No inbound Pith citation observations are available.