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Paper Citation Record · LEDGER

Exploring Efficient Quantification of Modeling Uncertainties with Differentiable Physics-Informed Machine Learning Architectures

As of 20 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 0 inbound Pith citation observations for arXiv:2506.18247.

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46 of 46 outbound references displayed

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Outbound references

Observation 7fe54a41-d3db-4d3b-b5af-6923ce427940 · outbound

This paper cites Physics infused machine learning based predic- tion of vtol aerodynamics with sparse datasets,.

Exploring Efficient Quantification of Modeling Uncertainties with Differentiable Physics-Informed Machine Learning Architectures Physics infused machine learning based predic- tion of vtol aerodynamics with sparse datasets,

Reference 1

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This paper cites A differentiable physics-informed machine learn- ing approach to model laser-based micro-manufacturing process,.

Exploring Efficient Quantification of Modeling Uncertainties with Differentiable Physics-Informed Machine Learning Architectures A differentiable physics-informed machine learn- ing approach to model laser-based micro-manufacturing process,

Reference 2

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This paper cites Physics-informed machine learning towards a real-time spacecraft thermal simulator,.

Exploring Efficient Quantification of Modeling Uncertainties with Differentiable Physics-Informed Machine Learning Architectures Physics-informed machine learning towards a real-time spacecraft thermal simulator,

Reference 3

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This paper cites Physics-informed machine learning,.

Exploring Efficient Quantification of Modeling Uncertainties with Differentiable Physics-Informed Machine Learning Architectures Physics-informed machine learning,

Reference 4

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This paper cites Driven by data or derived through physics? a review of hybrid physics guided machine learning techniques with cyber-physical system (cps) focus,.

Exploring Efficient Quantification of Modeling Uncertainties with Differentiable Physics-Informed Machine Learning Architectures Driven by data or derived through physics? a review of hybrid physics guided machine learning techniques with cyber-physical system (cps) focus,

Reference 5

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This paper cites Physics- informed neural networks for high-speed flows,.

Exploring Efficient Quantification of Modeling Uncertainties with Differentiable Physics-Informed Machine Learning Architectures Physics- informed neural networks for high-speed flows,

Reference 6

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This paper cites Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations,.

Exploring Efficient Quantification of Modeling Uncertainties with Differentiable Physics-Informed Machine Learning Architectures Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations,

Reference 7

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This paper cites Analyses of internal structures and defects in mate- rials using physics-informed neural networks,.

Exploring Efficient Quantification of Modeling Uncertainties with Differentiable Physics-Informed Machine Learning Architectures Analyses of internal structures and defects in mate- rials using physics-informed neural networks,

Reference 8

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This paper cites Physics-informed neural networks (pinns) for fluid mechanics: A review,.

Exploring Efficient Quantification of Modeling Uncertainties with Differentiable Physics-Informed Machine Learning Architectures Physics-informed neural networks (pinns) for fluid mechanics: A review,

Reference 9

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Exploring Efficient Quantification of Modeling Uncertainties with Differentiable Physics-Informed Machine Learning Architectures Unresolved cited work

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This paper cites Physics-informed neural networks with periodic activation functions for solute transport in heterogeneous porous media,.

Exploring Efficient Quantification of Modeling Uncertainties with Differentiable Physics-Informed Machine Learning Architectures Physics-informed neural networks with periodic activation functions for solute transport in heterogeneous porous media,

Reference 11

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This paper cites Fourier Neural Operator for Parametric Partial Differential Equations.

Exploring Efficient Quantification of Modeling Uncertainties with Differentiable Physics-Informed Machine Learning Architectures Fourier Neural Operator for Parametric Partial Differential Equations

Reference 12

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This paper cites Learning nonlinear operators via deeponet based on the universal approximation theorem of operators,.

Exploring Efficient Quantification of Modeling Uncertainties with Differentiable Physics-Informed Machine Learning Architectures Learning nonlinear operators via deeponet based on the universal approximation theorem of operators,

Reference 13

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This paper cites Scientific machine learning through physics–informed neural networks: Where we are and what’s next,.

Exploring Efficient Quantification of Modeling Uncertainties with Differentiable Physics-Informed Machine Learning Architectures Scientific machine learning through physics–informed neural networks: Where we are and what’s next,

Reference 14

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Exploring Efficient Quantification of Modeling Uncertainties with Differentiable Physics-Informed Machine Learning Architectures Investigating grey-box modeling for predictive analytics in smart manufacturing,

Reference 15

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This paper cites A grey box soft- ware framework for sustainability assessment of com- posed manufacturing processes: A hybrid manufactur- ing case,.

Exploring Efficient Quantification of Modeling Uncertainties with Differentiable Physics-Informed Machine Learning Architectures A grey box soft- ware framework for sustainability assessment of com- posed manufacturing processes: A hybrid manufactur- ing case,

Reference 16

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This paper cites A physically based and machine learning hybrid approach for accu- rate rainfall-runoff modeling during extreme typhoon events,.

Exploring Efficient Quantification of Modeling Uncertainties with Differentiable Physics-Informed Machine Learning Architectures A physically based and machine learning hybrid approach for accu- rate rainfall-runoff modeling during extreme typhoon events,

Reference 17

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Exploring Efficient Quantification of Modeling Uncertainties with Differentiable Physics-Informed Machine Learning Architectures A com- bined neural-wavelet model for prediction of ligvanchai watershed precipitation,

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Exploring Efficient Quantification of Modeling Uncertainties with Differentiable Physics-Informed Machine Learning Architectures Pi-lstm: Physics-infused long short-term memory network,

Reference 19

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Exploring Efficient Quantification of Modeling Uncertainties with Differentiable Physics-Informed Machine Learning Architectures A robust & reliable data-driven prognostics approach based on extreme learning machine and fuzzy clustering.,

Reference 20

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Exploring Efficient Quantification of Modeling Uncertainties with Differentiable Physics-Informed Machine Learning Architectures A fusion prognostics method for remaining useful life prediction of electronic prod- ucts,

Reference 21

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Exploring Efficient Quantification of Modeling Uncertainties with Differentiable Physics-Informed Machine Learning Architectures Physics-guided Neural Networks (PGNN): An Application in Lake Temperature Modeling

Reference 22

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Exploring Efficient Quantification of Modeling Uncertainties with Differentiable Physics-Informed Machine Learning Architectures Interval static displace- ment analysis for structures with interval parameters,

Reference 23

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Exploring Efficient Quantification of Modeling Uncertainties with Differentiable Physics-Informed Machine Learning Architectures Im- proving interval analysis in finite element calculations by means of affine arithmetic,

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Exploring Efficient Quantification of Modeling Uncertainties with Differentiable Physics-Informed Machine Learning Architectures Uncertainty quantification in dynamic system risk assessment: A new approach with randomness and fuzzy theory,

Reference 25

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Exploring Efficient Quantification of Modeling Uncertainties with Differentiable Physics-Informed Machine Learning Architectures Modern monte carlo methods for efficient uncertainty quantification and propagation: A survey,

Reference 26

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This paper cites Bayesian neural networks for uncertainty quan- tification in data-driven materials modeling,.

Exploring Efficient Quantification of Modeling Uncertainties with Differentiable Physics-Informed Machine Learning Architectures Bayesian neural networks for uncertainty quan- tification in data-driven materials modeling,

Reference 27

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Exploring Efficient Quantification of Modeling Uncertainties with Differentiable Physics-Informed Machine Learning Architectures Unresolved cited work

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Exploring Efficient Quantification of Modeling Uncertainties with Differentiable Physics-Informed Machine Learning Architectures Physics-Informed Gaussian Process Regression Generalizes Linear PDE Solvers

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Exploring Efficient Quantification of Modeling Uncertainties with Differentiable Physics-Informed Machine Learning Architectures Flow field tomogra- phy with uncertainty quantification using a bayesian physics-informed neural network,

Reference 30

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Exploring Efficient Quantification of Modeling Uncertainties with Differentiable Physics-Informed Machine Learning Architectures Bayesian physics-informed neural net- works for inverse uncertainty quantification problems in cardiac electrophysiology,

Reference 31

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Exploring Efficient Quantification of Modeling Uncertainties with Differentiable Physics-Informed Machine Learning Architectures Physically interpretable machine learning for nu- clear masses,

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Observation d820739d-e4c3-4a76-9613-6c6be94f5167 · outbound

This paper cites Uncertainty quan- tification for additive manufacturing process improve- ment: Recent advances,.

Exploring Efficient Quantification of Modeling Uncertainties with Differentiable Physics-Informed Machine Learning Architectures Uncertainty quan- tification for additive manufacturing process improve- ment: Recent advances,

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verified fuzzy
raw_fallback, observed 2026-08-06T23:28:06.444738Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation b397eb26-e2ed-4b96-a3cb-0ac6a8755391 · outbound

This paper cites Information fusion and machine learning for sensitivity analysis using physics knowledge and experimental data,.

Exploring Efficient Quantification of Modeling Uncertainties with Differentiable Physics-Informed Machine Learning Architectures Information fusion and machine learning for sensitivity analysis using physics knowledge and experimental data,

Reference 34

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation cc638377-ff23-4eec-8fdf-b432651e9a1b · outbound

This paper cites A physics-informed machine learning approach for notch fatigue evaluation of alloys used in aerospace,.

Exploring Efficient Quantification of Modeling Uncertainties with Differentiable Physics-Informed Machine Learning Architectures A physics-informed machine learning approach for notch fatigue evaluation of alloys used in aerospace,

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:28:05.971990Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 16548f92-5086-4fb0-b2f6-e8e277c46e42 · outbound

This paper cites Physics-informed machine learning for reliabil- ity and systems safety applications: State of the art and challenges,.

Exploring Efficient Quantification of Modeling Uncertainties with Differentiable Physics-Informed Machine Learning Architectures Physics-informed machine learning for reliabil- ity and systems safety applications: State of the art and challenges,

Reference 36

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 63d2622a-35f7-4038-96ca-8a1ff0d1de98 · outbound

This paper cites Fuks, Physics Informed Machine Learning and Uncertainty Propagation for Multiphase Transport in Porous Media.

Exploring Efficient Quantification of Modeling Uncertainties with Differentiable Physics-Informed Machine Learning Architectures Fuks, Physics Informed Machine Learning and Uncertainty Propagation for Multiphase Transport in Porous Media

Reference 37

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 9e3b9dc4-3aef-42fe-a29d-9f7accead1c2 · outbound

This paper cites Mul- tiaxial fatigue prediction and uncertainty quantification based on back propagation neural network and gaussian process regression,.

Exploring Efficient Quantification of Modeling Uncertainties with Differentiable Physics-Informed Machine Learning Architectures Mul- tiaxial fatigue prediction and uncertainty quantification based on back propagation neural network and gaussian process regression,

Reference 38

Resolution
metadata mismatch
raw_fallback, observed 2026-08-06T23:28:03.406706Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 802c2ea2-f740-482e-8b02-4562b4ad1c3a · outbound

This paper cites Bayesian neural networks: An introduction and survey,.

Exploring Efficient Quantification of Modeling Uncertainties with Differentiable Physics-Informed Machine Learning Architectures Bayesian neural networks: An introduction and survey,

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:28:05.249322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T23:28:01.686091Z digest=sha256:377e4ef7a2ad1a283c01567268cce5928401dbfbfdd337e18dbfb01d175eb280

Observation 42d995ce-5e98-461a-b205-d8ff7b56f015 · outbound

This paper cites What uncertainties do we need in bayesian deep learning for computer vision?.

Exploring Efficient Quantification of Modeling Uncertainties with Differentiable Physics-Informed Machine Learning Architectures What uncertainties do we need in bayesian deep learning for computer vision?

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:28:04.951620Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T23:28:01.769241Z digest=sha256:ba16b7035efede23fb7df4ebea4054fc5b6c707808f3ee8f5c81866eec059eba

Observation d898c7b7-6a04-4d7e-8b9e-e7c47fd02aaa · outbound

This paper cites Taking the human out of the loop: A review of bayesian optimization,.

Exploring Efficient Quantification of Modeling Uncertainties with Differentiable Physics-Informed Machine Learning Architectures Taking the human out of the loop: A review of bayesian optimization,

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-06T23:28:01.906465Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T23:28:01.906465Z digest=sha256:bbecb4fd02c8ebe4fa2b0ba3333480ba9679aff7339de6557f541c1a283e046e

Observation ddf93349-b07d-41d5-a007-677cc7c6c336 · outbound

This paper cites Uncertainty Decomposition in Bayesian Neural Networks with Latent Variables.

Exploring Efficient Quantification of Modeling Uncertainties with Differentiable Physics-Informed Machine Learning Architectures Uncertainty Decomposition in Bayesian Neural Networks with Latent Variables

Reference 42

Resolution
verified exact
local_arxiv, observed 2026-08-06T23:28:03.156508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T23:28:02.159362Z digest=sha256:3351cec0ab9ad6676d0784be7a21bf4d88c11e015f3a39fee530013e96743538

Observation 19409f81-c334-422f-a7df-1ee4526cb60e · outbound

This paper cites Bayesian and markov chain monte carlo methods for identifying nonlinear systems in the presence of uncertainty,.

Exploring Efficient Quantification of Modeling Uncertainties with Differentiable Physics-Informed Machine Learning Architectures Bayesian and markov chain monte carlo methods for identifying nonlinear systems in the presence of uncertainty,

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:28:04.585068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T23:28:02.304054Z digest=sha256:0cfd8f3007e655cd6f443f65e1200e4de8b0153ffb82eb2c7f1e9ed5cb54b647

Observation 67067ba0-f912-4723-be73-d942c30b15f1 · outbound

This paper cites Stochastic variational inference,.

Exploring Efficient Quantification of Modeling Uncertainties with Differentiable Physics-Informed Machine Learning Architectures Stochastic variational inference,

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:28:04.278769Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T23:28:02.436151Z digest=sha256:dd1fb94783e85b46fbc40a84bb5fd5b331a5fea7e20021fea515970bf48d593d

Observation d02ea97f-7c87-46c8-8b4f-e3f85593ab14 · outbound

This paper cites an unresolved cited work.

Exploring Efficient Quantification of Modeling Uncertainties with Differentiable Physics-Informed Machine Learning Architectures Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-08-06T23:28:04.011895Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 20aa0f9a-8dd7-42ee-83c1-947da89e3c85 · outbound

This paper cites an unresolved cited work.

Exploring Efficient Quantification of Modeling Uncertainties with Differentiable Physics-Informed Machine Learning Architectures Unresolved cited work

Reference 46

Resolution
unresolved
raw_fallback, observed 2026-08-06T23:28:03.721093Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Pith citing papers

No inbound Pith citation observations are available.