Paper Citation Record · LEDGER

Constitutive Manifold Neural Networks

As of 13 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 0 inbound Pith citation observations for arXiv:2506.13648.

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pith.paper-citation-record.v1
2506.13648 v3

Coverage vector

measured 48 of 48 reference resolution

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Pith citing papers itemized under the disclosed page cap.

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Reference resolution

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External citation measurements

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Outbound references

Observation fd679056-8ac5-4b33-a8a0-08a4b19e1ded · outbound

This paper cites Field-scale apparent soil electrical conductivity,.

Constitutive Manifold Neural Networks Field-scale apparent soil electrical conductivity,

Reference 1

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Observation 2af50af1-cdb2-44e3-823a-9209d0560ac8 · outbound

This paper cites Stochastic Finite Element Analysis Framework for Mod- elling Mechanical Properties of Particulate Modified Polymer Composites,.

Constitutive Manifold Neural Networks Stochastic Finite Element Analysis Framework for Mod- elling Mechanical Properties of Particulate Modified Polymer Composites,

Reference 2

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This paper cites A principled approach to conductivity uncertainty analysis in electric field calculations,.

Constitutive Manifold Neural Networks A principled approach to conductivity uncertainty analysis in electric field calculations,

Reference 3

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This paper cites An Introduction to Tensors for Students of Physics and Engineering,.

Constitutive Manifold Neural Networks An Introduction to Tensors for Students of Physics and Engineering,

Reference 4

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Observation 67e53e0d-9afd-4f1a-b3b5-9b89ce44fd5d · outbound

This paper cites A review on lightweight materials for defence applications: Present and future de- velopments,.

Constitutive Manifold Neural Networks A review on lightweight materials for defence applications: Present and future de- velopments,

Reference 5

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Observation 45bf7871-12d3-488c-ad76-d981296f14f6 · outbound

This paper cites Electrical Properties Tomogra- phy: A Methodological Review,.

Constitutive Manifold Neural Networks Electrical Properties Tomogra- phy: A Methodological Review,

Reference 6

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Observation 8c79a76d-988a-4fb5-9ed6-6bfc63881e98 · outbound

This paper cites Digital mapping of GlobalSoilMap soil properties at a broad scale: A review,.

Constitutive Manifold Neural Networks Digital mapping of GlobalSoilMap soil properties at a broad scale: A review,

Reference 7

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Observation 1e962201-a2bb-4238-8b4e-d99d61391c76 · outbound

This paper cites Itskov, Tensor Algebra and Tensor Analysis for Engineers: With Applications to Continuum Mechanics.

Constitutive Manifold Neural Networks Itskov, Tensor Algebra and Tensor Analysis for Engineers: With Applications to Continuum Mechanics

Reference 8

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Observation 4846454a-c121-4caa-bf25-bcc2d1af84f8 · outbound

This paper cites Modeling variability of the electrical conduc- tivity tensor for the induction welding of composites,.

Constitutive Manifold Neural Networks Modeling variability of the electrical conduc- tivity tensor for the induction welding of composites,

Reference 9

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Observation 8c933c1f-dda5-409b-b7a9-13e5aff60588 · outbound

This paper cites Stochastic modelling of symmetric positive definite material tensors,.

Constitutive Manifold Neural Networks Stochastic modelling of symmetric positive definite material tensors,

Reference 10

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Observation d6eb8558-9b3d-45b4-a56b-fd8959169167 · outbound

This paper cites Modern Monte Carlo methods for efficient uncertainty quantification and propaga- tion: A survey,.

Constitutive Manifold Neural Networks Modern Monte Carlo methods for efficient uncertainty quantification and propaga- tion: A survey,

Reference 11

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This paper cites Lataniotis, Data-driven uncertainty quantification for high-dimensional engineering problems.

Constitutive Manifold Neural Networks Lataniotis, Data-driven uncertainty quantification for high-dimensional engineering problems

Reference 12

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Observation 0b87e5c3-2c5a-4ad5-9d70-cd286744a810 · outbound

This paper cites A comparison between (quasi-)Monte Carlo and cubature rule based methods for solving high-dimensional integration problems,.

Constitutive Manifold Neural Networks A comparison between (quasi-)Monte Carlo and cubature rule based methods for solving high-dimensional integration problems,

Reference 13

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This paper cites Kriging, Polynomial Chaos Expansion, and Low-Rank Approximations in Material Science and Big Data Analytics,.

Constitutive Manifold Neural Networks Kriging, Polynomial Chaos Expansion, and Low-Rank Approximations in Material Science and Big Data Analytics,

Reference 14

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Observation f0276642-b4b2-4714-afe8-848cf4ac3fe9 · outbound

This paper cites Surrogate models for uncertainty quantification: An overview,.

Constitutive Manifold Neural Networks Surrogate models for uncertainty quantification: An overview,

Reference 15

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Observation 54c87132-079d-4c88-bd89-8070df6a3ebb · outbound

This paper cites Solving multiphysics-based inverse prob- lems with learned surrogates and constraints,.

Constitutive Manifold Neural Networks Solving multiphysics-based inverse prob- lems with learned surrogates and constraints,

Reference 16

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Observation 5491c99b-b545-4283-80b5-b10dd813f20b · outbound

This paper cites A review of uncertainty quan- tification in deep learning: Techniques, applications and challenges,.

Constitutive Manifold Neural Networks A review of uncertainty quan- tification in deep learning: Techniques, applications and challenges,

Reference 17

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This paper cites Deep UQ: Learning deep neural network surrogate models for high dimensional uncertainty quantification,.

Constitutive Manifold Neural Networks Deep UQ: Learning deep neural network surrogate models for high dimensional uncertainty quantification,

Reference 18

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Observation a60d7c52-9ea8-4d9c-868e-c88cba0f191e · outbound

This paper cites Constitu- tive artificial neural networks: A fast and general approach to predictive data-driven constitutive modeling by deep learning,.

Constitutive Manifold Neural Networks Constitu- tive artificial neural networks: A fast and general approach to predictive data-driven constitutive modeling by deep learning,

Reference 19

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Observation 15ee4fb1-9833-48c6-a378-ae574bee5543 · outbound

This paper cites Learning constitutive relations using symmetric positive definite neural networks,.

Constitutive Manifold Neural Networks Learning constitutive relations using symmetric positive definite neural networks,

Reference 20

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Observation e586c7e1-4d2c-4d3c-845d-9bab1abda3f5 · outbound

This paper cites A new family of Constitutive Artificial Neural Networks towards automated model discovery,.

Constitutive Manifold Neural Networks A new family of Constitutive Artificial Neural Networks towards automated model discovery,

Reference 21

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Observation 3079d0a6-3058-4592-8ec4-4baadc499397 · outbound

This paper cites Symmetry-enforcing neural networks with applications to constitutive modeling.

Constitutive Manifold Neural Networks Symmetry-enforcing neural networks with applications to constitutive modeling

Reference 22

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This paper cites Pennec, P.

Constitutive Manifold Neural Networks Pennec, P

Reference 23

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Observation 6b5f1aa0-15c6-4307-9757-796819a35c51 · outbound

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Constitutive Manifold Neural Networks A Riemannian Framework for Tensor Computing,

Reference 24

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This paper cites Symplectic Model Reduction of Hamiltonian Systems on Nonlinear Manifolds and Approximation with Weakly Symplectic Autoencoder,.

Constitutive Manifold Neural Networks Symplectic Model Reduction of Hamiltonian Systems on Nonlinear Manifolds and Approximation with Weakly Symplectic Autoencoder,

Reference 25

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Observation 647a7f10-c867-427c-ba4b-8b4ee4eab990 · outbound

This paper cites A Riemannian Network for SPD Matrix Learning.

Constitutive Manifold Neural Networks A Riemannian Network for SPD Matrix Learning

Reference 26

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Constitutive Manifold Neural Networks Riemannian batch normalization for SPD neural networks

Reference 27

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Constitutive Manifold Neural Networks Riemannian Residual Neural Networks

Reference 28

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This paper cites A CNN for homogneous Riemannian manifolds with applications to Neuroimaging.

Constitutive Manifold Neural Networks A CNN for homogneous Riemannian manifolds with applications to Neuroimaging

Reference 29

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This paper cites Anisotropy respecting constitutive neural net- works,.

Constitutive Manifold Neural Networks Anisotropy respecting constitutive neural net- works,

Reference 30

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Constitutive Manifold Neural Networks Reciprocal Relations in Irreversible Processes. I.,

Reference 31

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Constitutive Manifold Neural Networks Smooth Manifolds,

Reference 32

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Constitutive Manifold Neural Networks Gallier and J

Reference 33

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Observation 3d2302d7-eb2c-4558-a00b-6f4315a9dec3 · outbound

This paper cites Geometries and Interpolations for Symmetric Positive Definite Matri- ces,.

Constitutive Manifold Neural Networks Geometries and Interpolations for Symmetric Positive Definite Matri- ces,

Reference 34

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Constitutive Manifold Neural Networks Unresolved cited work

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Constitutive Manifold Neural Networks A mathematical theory of communication,

Reference 36

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Constitutive Manifold Neural Networks Information Theory and Statistical Mechanics,

Reference 37

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This paper cites Geometric Means in a Novel Vector Space Struc- ture on Symmetric Positive-Definite Matrices,.

Constitutive Manifold Neural Networks Geometric Means in a Novel Vector Space Struc- ture on Symmetric Positive-Definite Matrices,

Reference 38

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Observation 083013ab-133a-4c62-ad87-0e587671f60d · outbound

This paper cites Dimensionality Reduction on SPD Manifolds: The Emergence of Geometry-Aware Methods.

Constitutive Manifold Neural Networks Dimensionality Reduction on SPD Manifolds: The Emergence of Geometry-Aware Methods

Reference 39

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Observation 90b0e596-3477-4e86-aa87-d4e1915e405c · outbound

This paper cites Riemannian metrics for neural networks I: feedforward networks.

Constitutive Manifold Neural Networks Riemannian metrics for neural networks I: feedforward networks

Reference 40

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Constitutive Manifold Neural Networks Schwartzman, Random ellipsoids and false discovery rates: statistics for diffusion tensor imaging data

Reference 41

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Observation e47c200b-4875-4596-bf5a-c257ff1adc7f · outbound

This paper cites Lognormal Distributions and Geometric Averages of Symmetric Positive Def- inite Matrices,.

Constitutive Manifold Neural Networks Lognormal Distributions and Geometric Averages of Symmetric Positive Def- inite Matrices,

Reference 42

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This paper cites Modeling and experimental in- vestigation of induction welding of thermoplastic composites and comparison with other welding processes,.

Constitutive Manifold Neural Networks Modeling and experimental in- vestigation of induction welding of thermoplastic composites and comparison with other welding processes,

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:34:28.080293Z

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Constitutive Manifold Neural Networks COMSOL Multiphsyics ® v. 6.2

Reference 44

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Observation b8b1bd7e-7576-4ef6-8e03-0be29bf69b7d · outbound

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Constitutive Manifold Neural Networks Optuna: A Next-generation Hyperparameter Optimization Framework

Reference 45

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Observation 8a00b3c0-7a78-4bcd-92eb-f76a30600c06 · outbound

This paper cites Characterisation of Or- thotropic Electrical Conductivity of Unidirectional C/PAEK Thermoplastic Composites,.

Constitutive Manifold Neural Networks Characterisation of Or- thotropic Electrical Conductivity of Unidirectional C/PAEK Thermoplastic Composites,

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:34:27.640926Z

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Observation 97909ca2-a617-463a-8ece-c8f4a3e24906 · outbound

This paper cites Simulating the induction heat- ing of cross-ply C/PEKK laminates – sensitivity and effect of material variability,.

Constitutive Manifold Neural Networks Simulating the induction heat- ing of cross-ply C/PEKK laminates – sensitivity and effect of material variability,

Reference 47

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Observation 09c97298-c7d1-44f2-a7ba-a26e1f02b2d3 · outbound

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Constitutive Manifold Neural Networks Enlighten Project

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:34:27.445875Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

No inbound Pith citation observations are available.