Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T20:30:38.070485Z
Paper Citation Record · LEDGER
As of 18 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2412.06842.
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 2026-08-11T20:30:38.070485Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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
40 of 40 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 5b8f3d55-ac4b-4de7-bc1f-3ebb626704aa · outbound
Partition of Unity Physics-Informed Neural Networks (POU-PINNs): An Unsupervised Framework for Physics-Informed Domain Decomposition and Mixtures of Experts Physics-Informed Neural Networks: A Deep Learning Framework for Solving Forward and Inverse Problems 22 Involving Nonlinear Partial Differential Equations,
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6535b806-649d-4da6-a8b1-a1c919859f63 · outbound
Partition of Unity Physics-Informed Neural Networks (POU-PINNs): An Unsupervised Framework for Physics-Informed Domain Decomposition and Mixtures of Experts Physics-Informed Machine Learning,
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f6776554-4dee-49f7-8b36-f2b712945d97 · outbound
Partition of Unity Physics-Informed Neural Networks (POU-PINNs): An Unsupervised Framework for Physics-Informed Domain Decomposition and Mixtures of Experts Parallel Physics-Informed Neural Networks via Domain Decomposition,
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 75936631-f5d4-4bed-a23b-3d344cea1835 · outbound
Partition of Unity Physics-Informed Neural Networks (POU-PINNs): An Unsupervised Framework for Physics-Informed Domain Decomposition and Mixtures of Experts Physics- Informed Neural Networks (PINNs) for Fluid Mechanics: A Review,
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 9d34d12b-71c5-49b8-a361-55da35d0bfba · outbound
Partition of Unity Physics-Informed Neural Networks (POU-PINNs): An Unsupervised Framework for Physics-Informed Domain Decomposition and Mixtures of Experts Respecting causality is all you need for training physics-informed neural networks
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4cba3410-a991-4c2d-890e-b56e74965eba · outbound
Partition of Unity Physics-Informed Neural Networks (POU-PINNs): An Unsupervised Framework for Physics-Informed Domain Decomposition and Mixtures of Experts Partition of Unity Networks: Deep Hp-Approximation,
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 0b3844e5-3426-4f51-b0c3-25520b828a7d · outbound
Partition of Unity Physics-Informed Neural Networks (POU-PINNs): An Unsupervised Framework for Physics-Informed Domain Decomposition and Mixtures of Experts The Partition of Unity Finite Element Method: Basic Theory and Applications,
Reference 7
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a4f9d7d8-4bd9-4747-8c81-b0aa973f9cbc · outbound
Partition of Unity Physics-Informed Neural Networks (POU-PINNs): An Unsupervised Framework for Physics-Informed Domain Decomposition and Mixtures of Experts Probabilistic partition of unity networks: clustering based deep approximation
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 90794584-3a7b-40d6-b04f-d98813d81359 · outbound
Partition of Unity Physics-Informed Neural Networks (POU-PINNs): An Unsupervised Framework for Physics-Informed Domain Decomposition and Mixtures of Experts Probabilistic Partition of Unity Networks for High-dimensional Regression Problems,
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 103989d7-875e-41a2-9636-24416c776a93 · outbound
Partition of Unity Physics-Informed Neural Networks (POU-PINNs): An Unsupervised Framework for Physics-Informed Domain Decomposition and Mixtures of Experts Modeling of One-Dimensional Ablation with Porous Flow Using Finite Control Volume Procedure
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 0d89fcff-7aab-43c7-b31e-605201b8af4e · outbound
Partition of Unity Physics-Informed Neural Networks (POU-PINNs): An Unsupervised Framework for Physics-Informed Domain Decomposition and Mixtures of Experts Mesh Deformation Boundary Conditions for Three-Dimensional Ablation Solvers,
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 1f5fdb15-d18e-4ada-b005-b24fdd45197c · outbound
Partition of Unity Physics-Informed Neural Networks (POU-PINNs): An Unsupervised Framework for Physics-Informed Domain Decomposition and Mixtures of Experts High-Temperature Liquid Metal Infusion Considering Surface Tension- Viscosity Dissipation,
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 3ba408d1-e071-429e-8f95-5877cdb0b378 · outbound
Partition of Unity Physics-Informed Neural Networks (POU-PINNs): An Unsupervised Framework for Physics-Informed Domain Decomposition and Mixtures of Experts Sensitivity of Viscosity on Molten Ti Infusion into a B4C- Packed Bed at the Microscale,
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation b1e9054c-6466-444f-be49-4880cc01bb06 · outbound
Partition of Unity Physics-Informed Neural Networks (POU-PINNs): An Unsupervised Framework for Physics-Informed Domain Decomposition and Mixtures of Experts A., 2010, Three Dimensional Finite Element Ablative Thermal Response Anal- ysis Applied to Heatshield Penetration Design, Georgia Institute of Technology
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 27a37488-51c7-4961-85c0-cc77ae320ea1 · outbound
Partition of Unity Physics-Informed Neural Networks (POU-PINNs): An Unsupervised Framework for Physics-Informed Domain Decomposition and Mixtures of Experts Flow Mechanics in Ablative Thermal Protection Systems,
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ee108b18-4da8-460c-8411-959238b90a00 · outbound
Partition of Unity Physics-Informed Neural Networks (POU-PINNs): An Unsupervised Framework for Physics-Informed Domain Decomposition and Mixtures of Experts On the Stability of Combustion and Laser-Produced Ablation Fronts,
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 92cb1e1f-878b-4e79-bfda-01685d2bd4b2 · outbound
Partition of Unity Physics-Informed Neural Networks (POU-PINNs): An Unsupervised Framework for Physics-Informed Domain Decomposition and Mixtures of Experts Rayleigh–Taylor and Richtmyer–Meshkov Instabilities: A Journey through Scales,
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 25588dcc-9233-46ae-a223-66adacf72853 · outbound
Partition of Unity Physics-Informed Neural Networks (POU-PINNs): An Unsupervised Framework for Physics-Informed Domain Decomposition and Mixtures of Experts Nonintrusive Manufactured Solutions for Ablation,
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation bfcf21f2-e908-447c-a1b4-90f468027394 · outbound
Partition of Unity Physics-Informed Neural Networks (POU-PINNs): An Unsupervised Framework for Physics-Informed Domain Decomposition and Mixtures of Experts Code Verification by the Method of Manufactured Solutions,
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 418cd263-b00f-462f-a743-bad307f0d236 · outbound
Partition of Unity Physics-Informed Neural Networks (POU-PINNs): An Unsupervised Framework for Physics-Informed Domain Decomposition and Mixtures of Experts Unresolved cited work
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation d833edba-3b78-46b8-8538-166a3033569c · outbound
Partition of Unity Physics-Informed Neural Networks (POU-PINNs): An Unsupervised Framework for Physics-Informed Domain Decomposition and Mixtures of Experts Albany: Us- ing Component-Based Design to Develop a Flexible, Generic Multiphysics Analysis Code,
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation cae360f6-b34b-4cd2-a153-110835f0b9a2 · outbound
Partition of Unity Physics-Informed Neural Networks (POU-PINNs): An Unsupervised Framework for Physics-Informed Domain Decomposition and Mixtures of Experts Albany/FELIX: A Parallel, Scalable and Robust, Finite Element, First-Order Stokes Approximation Ice Sheet Solver Built for Advanced Analysis,
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation c275b422-f177-4c71-b8ab-6b8c4d736722 · outbound
Partition of Unity Physics-Informed Neural Networks (POU-PINNs): An Unsupervised Framework for Physics-Informed Domain Decomposition and Mixtures of Experts MPAS-Albany Land Ice (MALI): A Variable-Resolution Ice Sheet Model for Earth System Modeling Using Voronoi Grids,
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation fa09ba86-7325-4486-acc7-c538ede98711 · outbound
Partition of Unity Physics-Informed Neural Networks (POU-PINNs): An Unsupervised Framework for Physics-Informed Domain Decomposition and Mixtures of Experts Verification and Validation in Com- putational Fluid Dynamics,
Reference 24
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 21dd4205-74f1-4bcf-abeb-d8c91c72929a · outbound
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation d71177af-d04b-4ed3-a458-4c72f91f3749 · outbound
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation e87d60dc-d790-4ff9-ae14-f092e86b0650 · outbound
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation d8f14f13-b32d-46fd-8eff-e8b13164247c · outbound
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 4fb272aa-6b4f-42c7-b5ec-fa62e6eef520 · outbound
Partition of Unity Physics-Informed Neural Networks (POU-PINNs): An Unsupervised Framework for Physics-Informed Domain Decomposition and Mixtures of Experts Parameter Sensitivity and Statistical Cor- relation Found in Atmospheric Turbulence Studies,
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation c89a9be4-dba3-44aa-8703-ae8992d61b26 · outbound
Partition of Unity Physics-Informed Neural Networks (POU-PINNs): An Unsupervised Framework for Physics-Informed Domain Decomposition and Mixtures of Experts Mesh Adaptability Technique for Canonical Turbulent Jet Flows via Reinforcement Learning,
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 689c23e6-1495-4d8f-9ea2-86c8058cbf89 · outbound
Partition of Unity Physics-Informed Neural Networks (POU-PINNs): An Unsupervised Framework for Physics-Informed Domain Decomposition and Mixtures of Experts Unresolved cited work
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation f37394b4-0f00-42f2-9c4a-7487d50584d0 · outbound
Partition of Unity Physics-Informed Neural Networks (POU-PINNs): An Unsupervised Framework for Physics-Informed Domain Decomposition and Mixtures of Experts Forward and Inverse Modeling of Ice Sheet Flow Using Physics-informed Neural Networks: Application to Helheim Glacier, Greenland,
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation eb8f1a63-fd53-4574-8969-e24f0b0335d3 · outbound
Partition of Unity Physics-Informed Neural Networks (POU-PINNs): An Unsupervised Framework for Physics-Informed Domain Decomposition and Mixtures of Experts Discovering the Rheology of Antarc- tic Ice Shelves via Physics-Informed Deep Learning
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation a4300ea8-d356-4974-8ca9-3293f6a2eeee · outbound
Partition of Unity Physics-Informed Neural Networks (POU-PINNs): An Unsupervised Framework for Physics-Informed Domain Decomposition and Mixtures of Experts One-Dimensional Ice Shelf Hardness Inversion: Clus- tering Behavior and Collocation Resampling in Physics-Informed Neural Networks,
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 2b7e7341-8e05-499b-9685-ca465f28a593 · outbound
Partition of Unity Physics-Informed Neural Networks (POU-PINNs): An Unsupervised Framework for Physics-Informed Domain Decomposition and Mixtures of Experts Adam: A Method for Stochastic Optimization
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b14a9e35-1415-4917-960d-de8f4917fe3f · outbound
Partition of Unity Physics-Informed Neural Networks (POU-PINNs): An Unsupervised Framework for Physics-Informed Domain Decomposition and Mixtures of Experts Activation Functions: Comparison of trends in Practice and Research for Deep Learning
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0f9de46c-995f-4d9a-aac1-7f8407a3acb3 · outbound
Partition of Unity Physics-Informed Neural Networks (POU-PINNs): An Unsupervised Framework for Physics-Informed Domain Decomposition and Mixtures of Experts On Model Stability as a Function of Random Seed
Reference 37
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 029ecd89-ff81-4bdf-9b3b-3c30d040a70a · outbound
Partition of Unity Physics-Informed Neural Networks (POU-PINNs): An Unsupervised Framework for Physics-Informed Domain Decomposition and Mixtures of Experts L2 Regularization for Learning Kernels
Reference 38
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2fa8503a-3b0f-4b90-8015-d1ef96003f8c · outbound
Partition of Unity Physics-Informed Neural Networks (POU-PINNs): An Unsupervised Framework for Physics-Informed Domain Decomposition and Mixtures of Experts L2 Regularization versus Batch and Weight Normalization
Reference 39
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7b227cb9-7c82-4bd9-947f-ab674b30bcfd · outbound
Partition of Unity Physics-Informed Neural Networks (POU-PINNs): An Unsupervised Framework for Physics-Informed Domain Decomposition and Mixtures of Experts Understanding the Difficulty of Training Deep Feed- forward Neural Networks,
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
No inbound Pith citation observations are available.