Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-05T15:00:21.924054Z
Paper Citation Record · LEDGER
As of 8 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 0 inbound Pith citation observations for arXiv:2508.20649.
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 2026-08-05T15:00:21.924054Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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
49 of 49 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation fae8e4f9-eaa4-44d7-95f4-1e8625305c43 · outbound
Physics-Constrained Machine Learning for Chemical Engineering Physics- constrained deep learning for high-dimensional surrogate modeling and uncertainty quantifi- cation without labeled data
Reference 1
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.
Observation 5d0dbf6e-49a8-4d48-8c9c-f304b8f9d101 · outbound
Physics-Constrained Machine Learning for Chemical Engineering Raissi, P
Reference 2
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.
Observation fc78d6b4-3e26-4825-ba07-184867dbb5da · outbound
Physics-Constrained Machine Learning for Chemical Engineering Scientific machine learning through physics–informed neural networks: Where we are and what’s next
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 76ad6fb4-57e0-4428-8c4d-03848b5b7450 · outbound
Physics-Constrained Machine Learning for Chemical Engineering When physics meets machine learning: a survey of physics-informed machine learning
Reference 4
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.
Observation 58933285-c1d3-41e2-a048-7606df2982bf · outbound
Physics-Constrained Machine Learning for Chemical Engineering A novel temperature prediction method without using energy equation based on physics-informed neural network (pinn): A case study on plate- circular/square pin-fin heat sinks
Reference 5
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.
Observation de1e2773-edb1-4981-b0b2-61011c345614 · outbound
Physics-Constrained Machine Learning for Chemical Engineering Unresolved cited work
Reference 6
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.
Observation 96b6a6d9-ae47-486f-aaf7-59ee34a94a96 · outbound
Physics-Constrained Machine Learning for Chemical Engineering Development of steady-state and dynamic mass and energy constrained neural networks for distributed chemical systems using noisy transient data
Reference 7
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.
Observation 02f57147-f6cb-4846-adeb-0ad019248546 · outbound
Physics-Constrained Machine Learning for Chemical Engineering Lueg, Victor Alves, Daniel Schicksnus, John R
Reference 8
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1c1ec400-52a4-4d87-8581-fb50c17175fb · outbound
Physics-Constrained Machine Learning for Chemical Engineering Jakobsen
Reference 9
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.
Observation 2c709602-85bc-4a02-8a7e-32e6a0797fd3 · outbound
Physics-Constrained Machine Learning for Chemical Engineering Development of mass, energy, and thermo- dynamics constrained steady-state and dynamic neural networks for interconnected chemical systems
Reference 10
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.
Observation b538f365-d830-4913-a570-9d9d6dde39ee · outbound
Physics-Constrained Machine Learning for Chemical Engineering Constante Flores, and Can Li
Reference 11
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.
Observation 9ecf733d-596e-4a70-91dc-71ba04a200c1 · outbound
Physics-Constrained Machine Learning for Chemical Engineering ENFORCE: Nonlinear Constrained Learning with Adaptive-depth Neural Projection
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 44ed2992-fadb-44e0-b45d-5c36eb7ac6ca · outbound
Physics-Constrained Machine Learning for Chemical Engineering Picard-KKT-hPINN: Enforcing Nonlinear Enthalpy Balances for Physically Consistent Neural Networks
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 442c8612-daa6-4579-afe9-88dff8ba7452 · outbound
Physics-Constrained Machine Learning for Chemical Engineering Hardnet: Hard-constrained neural networks with universal approximation guarantees
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dd1250b4-ce91-4ff2-97a5-1ac0c1033076 · outbound
Physics-Constrained Machine Learning for Chemical Engineering On the development of steady-state and dy- namic mass-constrained neural networks using noisy transient data
Reference 15
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.
Observation 666d5f6c-74a3-4ad8-8dae-a625e0361ca3 · outbound
Physics-Constrained Machine Learning for Chemical Engineering Enforcing analytic constraints in neural networks emulating physical systems
Reference 16
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.
Observation 40a9ec72-a7d9-47d9-a8d0-2785a64d6826 · outbound
Physics-Constrained Machine Learning for Chemical Engineering Physics-Informed Neural Networks with Hard Nonlinear Equality and Inequality Constraints
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3a56497a-2205-4c03-b3d8-e40b464a0753 · outbound
Physics-Constrained Machine Learning for Chemical Engineering Unresolved cited work
Reference 18
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.
Observation 6758d4b1-1948-4f02-abc7-329a1936262d · outbound
Physics-Constrained Machine Learning for Chemical Engineering An overview of simultaneous strategies for dynamic optimization
Reference 19
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.
Observation 0a895fda-df82-471c-b21b-062a78385a54 · outbound
Physics-Constrained Machine Learning for Chemical Engineering Neural networks meet physics: A survey of physics-informed approaches to modeling and simulation
Reference 20
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.
Observation f1270c55-9c14-4d8e-acf6-0ffc947664a4 · outbound
Physics-Constrained Machine Learning for Chemical Engineering B-pinns: Bayesian physics-informed neural networks for forward and inverse pde problems with noisy data.Journal of Computational Physics, 425:109913, 2021
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8af976ad-e2dd-4e03-85a1-088a4ba71fcb · outbound
Physics-Constrained Machine Learning for Chemical Engineering fpinns: Fractional physics-informed neural networks
Reference 22
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.
Observation d6302e04-ac00-4dd2-9cad-7ff04e0a231d · outbound
Physics-Constrained Machine Learning for Chemical Engineering Jagtap, Ehsan Kharazmi, and George Em Karniadakis
Reference 23
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.
Observation 44b5d165-79c9-4540-83f1-31cedbae6915 · outbound
Physics-Constrained Machine Learning for Chemical Engineering Kevrekidis, Lu Lu, Paris Perdikaris, Sifan Wang, and Liu Yang
Reference 24
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.
Observation 0258d80d-65e2-4a4f-8e7f-8770aa5f719a · outbound
Physics-Constrained Machine Learning for Chemical Engineering Perspectives on the integration between first-principles and data-driven modeling
Reference 25
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.
Observation c94a1327-8c00-4e8c-97bd-4e6608835d94 · outbound
Physics-Constrained Machine Learning for Chemical Engineering Dae-pinn: a physics-informed neural network model for sim- ulating differential algebraic equations with application to power networks
Reference 26
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.
Observation 1a6326d7-e67b-4dac-92f7-96c869c4406c · outbound
Physics-Constrained Machine Learning for Chemical Engineering When and why pinns fail to train: A neural tangent kernel perspective
Reference 27
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 72adb6a9-1555-4826-ba52-3a2788ab1376 · outbound
Physics-Constrained Machine Learning for Chemical Engineering Physics- constrained neural ordinary differential equation models to discover and predict microbial com- munity dynamics
Reference 28
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.
Observation f34ef86e-9459-4500-86dd-000130828413 · outbound
Physics-Constrained Machine Learning for Chemical Engineering Zavala, Carl D
Reference 29
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.
Observation 1da76c9c-f50e-4558-8cbf-6147c1d5f323 · outbound
Physics-Constrained Machine Learning for Chemical Engineering Unresolved cited work
Reference 30
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.
Observation bb186a9b-3888-4c1d-ae61-906a4f18a804 · outbound
Physics-Constrained Machine Learning for Chemical Engineering Physics-informed neural networks for hybrid modeling of lab-scale batch fermentation for β-carotene production using saccharomyces cerevisiae
Reference 31
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.
Observation 88ac5638-f216-4072-a8f3-eef0cff3b094 · outbound
Physics-Constrained Machine Learning for Chemical Engineering Physics-informed neural networks for heat transfer prediction in two-phase flows
Reference 32
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.
Observation b1c4dab7-c757-4a0b-9167-82b76febf600 · outbound
Physics-Constrained Machine Learning for Chemical Engineering A physics-informed assembly of feed- forward neural network engines to predict inelasticity in cross-linked polymers
Reference 33
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.
Observation 968c88be-fa26-4c4c-8199-f4bb6320041f · outbound
Physics-Constrained Machine Learning for Chemical Engineering cv-pinn: Efficient learning of variational physics-informed neural network with domain decomposition
Reference 34
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.
Observation 2a2b31af-484b-4ff7-bcdd-f2b2f4c8edb3 · outbound
Physics-Constrained Machine Learning for Chemical Engineering Physics-informed neural networks with domain decomposition for the incompressible navier–stokes equations
Reference 35
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.
Observation e4500e35-07af-45f0-b869-a70cc3e27f13 · outbound
Physics-Constrained Machine Learning for Chemical Engineering Physics-based neural networks for simulation and synthesis of cyclic adsorption processes
Reference 36
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.
Observation 5b45d717-6ed3-4c6a-8fec-25eb90934a4f · outbound
Physics-Constrained Machine Learning for Chemical Engineering Learning the solution operator of parametric partial differential equations with physics-informed deeponets.Science Advances, 7(40):eabi8605, 2021
Reference 37
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.
Observation 86dd856b-22c7-4719-b07b-8d6a1800f4a9 · outbound
Physics-Constrained Machine Learning for Chemical Engineering Physics-informed neural operator for learning partial differential equations
Reference 38
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.
Observation cd2b0e7f-2337-4068-a9f3-98be748313bc · outbound
Physics-Constrained Machine Learning for Chemical Engineering Unresolved cited work
Reference 39
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.
Observation cbf8b466-c799-4711-b351-18bd72459e07 · outbound
Physics-Constrained Machine Learning for Chemical Engineering A Review of Physics-Informed Machine Learning Methods with Applications to Condition Monitoring and Anomaly Detection
Reference 40
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.
Observation a8b29faa-72a8-441a-a134-8e0e0fe893b4 · outbound
Physics-Constrained Machine Learning for Chemical Engineering Physics-informed recurrent neu- ral network modeling for predictive control of nonlinear processes
Reference 41
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.
Observation e38a04bf-5d5f-4109-82f3-e14353ef66a6 · outbound
Physics-Constrained Machine Learning for Chemical Engineering Unresolved cited work
Reference 42
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.
Observation 75e922c8-9b51-48f2-bea8-09098f60c53e · outbound
Physics-Constrained Machine Learning for Chemical Engineering Physics-informed deep koopman op- erator for lagrangian dynamic systems
Reference 43
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.
Observation 28c590aa-2acc-4b08-9cee-591b625e1ef6 · outbound
Physics-Constrained Machine Learning for Chemical Engineering Assessment of uncertainty quantification in universal differential equations
Reference 44
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.
Observation 47adb641-5e13-4cbe-aaf9-48faf31ed8d8 · outbound
Physics-Constrained Machine Learning for Chemical Engineering Thompson, Victor M
Reference 45
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.
Observation 00864643-5570-4dbb-b24c-c0c1374cda0c · outbound
Physics-Constrained Machine Learning for Chemical Engineering Deepxde: A deep learning library for solving differential equations
Reference 46
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.
Observation 9c9a2dbb-8994-48d4-966b-eb334f54b996 · outbound
Physics-Constrained Machine Learning for Chemical Engineering Learning constrained parametric differentiable predictive control policies with guarantees
Reference 47
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.
Observation f22fec19-1249-4482-846f-6e8ffbdfc61c · outbound
Physics-Constrained Machine Learning for Chemical Engineering Continuous-molecular targeting for integrated solvent and process design
Reference 48
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.
Observation 53c61152-7081-4310-88b9-8c6adeaa6bf0 · outbound
Physics-Constrained Machine Learning for Chemical Engineering Ikegwu, Panzheng Zhou, Reid C
Reference 49
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.
No inbound Pith citation observations are available.