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Paper Citation Record · LEDGER

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling

As of 8 August 2026, this Paper Citation Record lists 98 of 98 outbound references and 0 inbound Pith citation observations for arXiv:2607.20339.

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

pith.paper-citation-record.v1
2607.20339 v1

Coverage vector

measured 98 of 98 reference resolution

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Reference resolution

98 of 98 outbound references displayed

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External citation measurements

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Outbound references

Observation 8bd1ebc1-96d0-40bb-ab9a-bbb3b71ddc11 · outbound

This paper cites an unresolved cited work.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Unresolved cited work

Reference 1

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This paper cites Mooney, A theory of large elastic deformation, Journal of applied physics 11 (9) (1940) 582–592.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Mooney, A theory of large elastic deformation, Journal of applied physics 11 (9) (1940) 582–592

Reference 2

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This paper cites an unresolved cited work.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Unresolved cited work

Reference 3

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Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Unresolved cited work

Reference 4

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Observation 97459623-aa72-4701-b854-0ffccd934fb2 · outbound

This paper cites an unresolved cited work.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Unresolved cited work

Reference 5

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This paper cites an unresolved cited work.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Unresolved cited work

Reference 6

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Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Unresolved cited work

Reference 7

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Observation 051cd266-adf2-4989-a410-0c5046212a80 · outbound

This paper cites Leclerc, J.-N.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Leclerc, J.-N

Reference 8

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Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Unresolved cited work

Reference 9

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Observation ac972655-dacb-4913-802e-26c01be36603 · outbound

This paper cites Miller, P.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Miller, P

Reference 10

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This paper cites Mathieu, H.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Mathieu, H

Reference 11

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Observation ef81fd77-3d94-4440-8977-1665dce003ca · outbound

This paper cites Kumar, D.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Kumar, D

Reference 12

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Observation f689e531-2e04-472f-af10-9a03e627dd4b · outbound

This paper cites Pierron, M.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Pierron, M

Reference 13

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Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Unresolved cited work

Reference 14

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This paper cites Ghaboussi, J.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Ghaboussi, J

Reference 15

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This paper cites Carrara, M.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Carrara, M

Reference 16

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Observation 25ac841b-f174-4798-91bd-a0bfff8dbab8 · outbound

This paper cites Goodfellow, Deep learning (2016).

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Goodfellow, Deep learning (2016)

Reference 17

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Observation 4716f236-b29f-4b6b-be1e-ec2c39d88f13 · outbound

This paper cites Cybenko, Approximation by superpositions of a sigmoidal function, Mathematics of control, signals and systems 2 (4) (1989) 303–314.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Cybenko, Approximation by superpositions of a sigmoidal function, Mathematics of control, signals and systems 2 (4) (1989) 303–314

Reference 18

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This paper cites Hornik, M.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Hornik, M

Reference 19

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Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Unresolved cited work

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This paper cites Hornik, Approximation capabilities of multilayer feedforward networks, Neural net- works 4 (2) (1991) 251–257.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Hornik, Approximation capabilities of multilayer feedforward networks, Neural net- works 4 (2) (1991) 251–257

Reference 21

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Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Unresolved cited work

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Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Unresolved cited work

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Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Unresolved cited work

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Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Unresolved cited work

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This paper cites Tibshirani, Regression shrinkage and selection via the lasso, Journal of the Royal Statistical Society Series B: Statistical Methodology 58 (1) (1996) 267–288.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Tibshirani, Regression shrinkage and selection via the lasso, Journal of the Royal Statistical Society Series B: Statistical Methodology 58 (1) (1996) 267–288

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This paper cites Raissi, P.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Raissi, P

Reference 27

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Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Unresolved cited work

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Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Linka, E

Reference 29

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Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Unresolved cited work

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Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Unresolved cited work

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Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Unresolved cited work

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Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Unresolved cited work

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Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Unresolved cited work

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Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Unresolved cited work

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Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Unresolved cited work

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Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Steinmann, Geometrical foundations of continuum mechanics, Lecture Notes in Ap- plied Mathematics and Mechanics 2 (2015)

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This paper cites A hierarchy of thermodynamics learning frameworks for inelastic constitutive modeling.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling A hierarchy of thermodynamics learning frameworks for inelastic constitutive modeling

Reference 38

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Observation bf408efe-cf4a-4b05-b28a-8b42e03927bf · outbound

This paper cites Flaschel, S.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Flaschel, S

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This paper cites Towards Rapid Constitutive Model Discovery from Multi-Modal Data: Physics Augmented Finite Element Model Updating (paFEMU).

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Towards Rapid Constitutive Model Discovery from Multi-Modal Data: Physics Augmented Finite Element Model Updating (paFEMU)

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Observation e90d42e8-7665-4e3d-aa9b-7e484daac384 · outbound

This paper cites Nemani, L.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Nemani, L

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This paper cites Fernandez, M.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Fernandez, M

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Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Unresolved cited work

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This paper cites Cheng, F.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Cheng, F

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This paper cites Abulawi, R.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Abulawi, R

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Observation 203b87dc-02e3-4d74-8240-565a04d07664 · outbound

This paper cites Begoli, T.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Begoli, T

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Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Unresolved cited work

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Observation f6ca3d6a-8d0d-4fc4-b1a1-2db04f213b97 · outbound

This paper cites Ostoja-Starzewski, Random field models of heterogeneous materials, International Journal of Solids and Structures 35 (19) (1998) 2429–2455.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Ostoja-Starzewski, Random field models of heterogeneous materials, International Journal of Solids and Structures 35 (19) (1998) 2429–2455

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Observation 199bc0fa-c50f-473f-814a-e6c9644d5500 · outbound

This paper cites Ostoja-Starzewski, Material spatial randomness: From statistical to representative volume element, Probabilistic engineering mechanics 21 (2) (2006) 112–132.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Ostoja-Starzewski, Material spatial randomness: From statistical to representative volume element, Probabilistic engineering mechanics 21 (2) (2006) 112–132

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Observation a4ea6e5c-c978-45a2-a1da-2af3e6a5f266 · outbound

This paper cites Der Kiureghian, J.-B.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Der Kiureghian, J.-B

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Observation 96445a3f-4cff-4415-94c1-e025699ea197 · outbound

This paper cites Stefanou, The stochastic finite element method: past, present and future, Computer methods in applied mechanics and engineering 198 (9-12) (2009) 1031–1051.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Stefanou, The stochastic finite element method: past, present and future, Computer methods in applied mechanics and engineering 198 (9-12) (2009) 1031–1051

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Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Unresolved cited work

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Observation 04082dbf-baef-4bba-b0d1-f719ae0e866b · outbound

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Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Unresolved cited work

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Observation 3c5f6797-3af2-472e-a7a1-b431894ed47b · outbound

This paper cites Blundell, J.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Blundell, J

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Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Unresolved cited work

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Observation 08982c0b-8ac2-4a31-a2db-0156c4b034af · outbound

This paper cites Gelman, J.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Gelman, J

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Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Unresolved cited work

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This paper cites Kendall, Y.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Kendall, Y

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Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Graves, Practical variational inference for neural networks, in: Advances in Neural Information Processing Systems, Vol

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Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Unresolved cited work

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Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Unresolved cited work

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Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Unresolved cited work

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Observation 7166b79c-d75b-422b-b919-56e5ffe6e647 · outbound

This paper cites Abdar, F.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Abdar, F

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Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Unresolved cited work

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Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Unresolved cited work

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This paper cites Tonini, T.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Tonini, T

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Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Unresolved cited work

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Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Bahmani, Conformal quantile regression for neural probabilistic constitutive model- ing, Computer Methods in Applied Mechanics and Engineering 457 (2026) 118981

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Observation 73c2095c-6c01-433a-ad70-25c9e3e52489 · outbound

This paper cites Alefeld, Introduction to interval analysis, SIAM Review 53 (2) (2011) 380.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Alefeld, Introduction to interval analysis, SIAM Review 53 (2) (2011) 380

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Observation 3aced57b-c399-47f5-9bd9-290385358ca8 · outbound

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Observation e64a72a6-bfe8-4899-a717-c0fb18f0c2fc · outbound

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Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Unresolved cited work

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Observation 31256b91-4baf-48cd-bf8a-88c717f26741 · outbound

This paper cites Zimmermann, Fuzzy set theory—and its applications, Springer Science & Business Media, 2011.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Zimmermann, Fuzzy set theory—and its applications, Springer Science & Business Media, 2011

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Observation d94deb2c-b819-4c53-bccd-6cb05135372b · outbound

This paper cites Chen, X.-W.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Chen, X.-W

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Observation 5d14ddb6-9d6b-4816-9500-e7a7d318281f · outbound

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Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Möller, W

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Observation a7e0361d-bf43-4fe1-a946-11b045f8cb95 · outbound

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Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Unresolved cited work

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Observation de8515b2-bade-4bb0-b46d-5fff75b3478b · outbound

This paper cites Freitag, W.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Freitag, W

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Observation 6c9467cb-231d-44e1-b3b7-fa93ac93bf73 · outbound

This paper cites Harazin, J.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Harazin, J

Reference 77

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Observation 0ddb2f8d-2c8f-4f1c-9146-f7cf60bc6654 · outbound

This paper cites N.Fuhg, R.E.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling N.Fuhg, R.E

Reference 78

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Observation 7d3e8c9b-e229-4d9d-8992-ec781f50c149 · outbound

This paper cites an unresolved cited work.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Unresolved cited work

Reference 79

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This paper cites an unresolved cited work.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Unresolved cited work

Reference 80

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Observation a76248df-8975-4ca4-b75f-dc34317198f7 · outbound

This paper cites an unresolved cited work.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Unresolved cited work

Reference 81

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Observation dbbfeafa-d6ed-4471-8879-f7f7629b199f · outbound

This paper cites Garczarczyk, Interval neural networks, in: 2000 IEEE International Symposium on Circuits and Systems (ISCAS), Vol.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Garczarczyk, Interval neural networks, in: 2000 IEEE International Symposium on Circuits and Systems (ISCAS), Vol

Reference 82

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This paper cites Truesdell, W.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Truesdell, W

Reference 83

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This paper cites an unresolved cited work.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Unresolved cited work

Reference 84

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Observation 450be9f5-9bb7-47e1-a99b-5118ca11158e · outbound

This paper cites Schröder, P.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Schröder, P

Reference 85

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Observation b28a3cc6-22c0-4bf2-9a43-e8ad1f0bcf42 · outbound

This paper cites Learning Sparse Neural Networks through $L_0$ Regularization.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Learning Sparse Neural Networks through $L_0$ Regularization

Reference 86

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This paper cites an unresolved cited work.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Unresolved cited work

Reference 87

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This paper cites Paszke, S.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Paszke, S

Reference 88

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Observation b00138cc-7636-416b-995d-35fdb55edc86 · outbound

This paper cites an unresolved cited work.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Unresolved cited work

Reference 89

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Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Unresolved cited work

Reference 90

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Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Unresolved cited work

Reference 91

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This paper cites an unresolved cited work.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Unresolved cited work

Reference 92

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Observation f3739bed-38eb-4764-8e63-6d3d07bedf87 · outbound

This paper cites an unresolved cited work.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Unresolved cited work

Reference 93

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Observation 30ec8800-f253-4df9-a762-de2a2e374b23 · outbound

This paper cites Accurate Prediction and Uncertainty Estimation using Decoupled Prediction Interval Networks.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Accurate Prediction and Uncertainty Estimation using Decoupled Prediction Interval Networks

Reference 94

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Observation 81f41e67-e974-469f-a337-7136c9a60d31 · outbound

This paper cites Logg, K.-A.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Logg, K.-A

Reference 95

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Observation 82b2455c-c0ad-49c6-af9d-9ef40bc2f819 · outbound

This paper cites Alnæs, J.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Alnæs, J

Reference 96

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Observation a5832aee-ed09-4dde-83d2-6948704bc49b · outbound

This paper cites Paszke, S.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Paszke, S

Reference 97

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Observation d3761073-d047-4f0a-a8e7-1df6a77e34a2 · outbound

This paper cites Adam: A Method for Stochastic Optimization.

Interval and fuzzy physics-augmented neural networks (iPANN and fPANN) for uncertainty quantification and propagation in constitutive modeling Adam: A Method for Stochastic Optimization

Reference 98

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