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Paper Citation Record · LEDGER

Distribution free uncertainty quantification in neuroscience-inspired deep operators

As of 15 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 0 inbound Pith citation observations for arXiv:2412.09369.

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pith.paper-citation-record.v1
2412.09369 v1

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measured 47 of 47 reference resolution

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Pith citing papers itemized under the disclosed page cap.

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Reference resolution

47 of 47 outbound references displayed

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Outbound references

Observation ada34170-3827-4805-ab9c-79e043ceada2 · outbound

This paper cites Machine learning: Trends, perspectives, and prospects.

Distribution free uncertainty quantification in neuroscience-inspired deep operators Machine learning: Trends, perspectives, and prospects

Reference 1

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Distribution free uncertainty quantification in neuroscience-inspired deep operators Machine learning algorithms-a review

Reference 2

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Distribution free uncertainty quantification in neuroscience-inspired deep operators Machine learning

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This paper cites Reliability-based design optimization using kriging surrogates and subset simulation.

Distribution free uncertainty quantification in neuroscience-inspired deep operators Reliability-based design optimization using kriging surrogates and subset simulation

Reference 4

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This paper cites Support vector machine in structural reliability analysis: A review.Reliability Engineering & System Safety, 233:109126, 2023.

Distribution free uncertainty quantification in neuroscience-inspired deep operators Support vector machine in structural reliability analysis: A review.Reliability Engineering & System Safety, 233:109126, 2023

Reference 5

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This paper cites Reliability analyses of underground tunnels by an adaptive support vector regression model.

Distribution free uncertainty quantification in neuroscience-inspired deep operators Reliability analyses of underground tunnels by an adaptive support vector regression model

Reference 6

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This paper cites Explainable, interpretable, and trustworthy ai for an intelli- gent digital twin: A case study on remaining useful life.

Distribution free uncertainty quantification in neuroscience-inspired deep operators Explainable, interpretable, and trustworthy ai for an intelli- gent digital twin: A case study on remaining useful life

Reference 7

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This paper cites Deep neural operator-driven real-time inference to enable digital twin solutions for nuclear energy systems.

Distribution free uncertainty quantification in neuroscience-inspired deep operators Deep neural operator-driven real-time inference to enable digital twin solutions for nuclear energy systems

Reference 8

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This paper cites Advances in computational intelligence of polymer composite materials: machine learning assisted mod- eling, analysis and design.

Distribution free uncertainty quantification in neuroscience-inspired deep operators Advances in computational intelligence of polymer composite materials: machine learning assisted mod- eling, analysis and design

Reference 9

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Distribution free uncertainty quantification in neuroscience-inspired deep operators Machine learning based digital twin for stochastic nonlinear multi-degree of freedom dynamical system

Reference 10

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Distribution free uncertainty quantification in neuroscience-inspired deep operators Energy-based physics-informed neural network for frictionless contact problems under large deformation

Reference 11

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This paper cites Artificial intelligence for partial differential equa- tions in computational mechanics: A review.

Distribution free uncertainty quantification in neuroscience-inspired deep operators Artificial intelligence for partial differential equa- tions in computational mechanics: A review

Reference 12

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Distribution free uncertainty quantification in neuroscience-inspired deep operators A novel machine-learning framework with a moving platform for maritime drift calculations

Reference 13

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Distribution free uncertainty quantification in neuroscience-inspired deep operators Accelerated neural network solvers of navier stokes equations for turbulent flows

Reference 14

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Distribution free uncertainty quantification in neuroscience-inspired deep operators Scientific machine learning through physics–informed neural networks: Where we are and what’s next

Reference 15

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Distribution free uncertainty quantification in neuroscience-inspired deep operators Scientific machine learning bench- marks

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Distribution free uncertainty quantification in neuroscience-inspired deep operators Machine learning and big scientific data

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Distribution free uncertainty quantification in neuroscience-inspired deep operators An introduction to neural networks

Reference 18

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Distribution free uncertainty quantification in neuroscience-inspired deep operators Deep learning

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Distribution free uncertainty quantification in neuroscience-inspired deep operators State-of-the-art in artificial neural network applications: A survey

Reference 20

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Distribution free uncertainty quantification in neuroscience-inspired deep operators Learning nonlinear op- erators via deeponet based on the universal approximation theorem of operators

Reference 21

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Distribution free uncertainty quantification in neuroscience-inspired deep operators Fourier Neural Operator for Parametric Partial Differential Equations

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Distribution free uncertainty quantification in neuroscience-inspired deep operators Wavelet neural operator for solving parametric partial differential equations in computational mechanics problems

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Distribution free uncertainty quantification in neuroscience-inspired deep operators Neural operator: Learning maps between function spaces with applications to pdes

Reference 24

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Distribution free uncertainty quantification in neuroscience-inspired deep operators Introduction to finite element methods

Reference 25

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Distribution free uncertainty quantification in neuroscience-inspired deep operators The finite element method in engineering

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Distribution free uncertainty quantification in neuroscience-inspired deep operators Neuroscience inspired neural operator for partial differential equations

Reference 27

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Distribution free uncertainty quantification in neuroscience-inspired deep operators Spiking Neural Operators for Scientific Machine Learning

Reference 28

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Distribution free uncertainty quantification in neuroscience-inspired deep operators Conformal prediction: A gentle introduction

Reference 29

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Distribution free uncertainty quantification in neuroscience-inspired deep operators Distribution-free predictive inference for regression

Reference 30

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Distribution free uncertainty quantification in neuroscience-inspired deep operators Conformalized-DeepONet: A Distribution-Free Framework for Uncertainty Quantification in Deep Operator Networks

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Distribution free uncertainty quantification in neuroscience-inspired deep operators Calibrated Uncertainty Quantification for Operator Learning via Conformal Prediction

Reference 32

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Distribution free uncertainty quantification in neuroscience-inspired deep operators Hands- on bayesian neural networks—a tutorial for deep learning users

Reference 33

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This paper cites What are bayesian neural network posteriors really like? In International conference on machine learning , pages 4629–4640.

Distribution free uncertainty quantification in neuroscience-inspired deep operators What are bayesian neural network posteriors really like? In International conference on machine learning , pages 4629–4640

Reference 34

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Distribution free uncertainty quantification in neuroscience-inspired deep operators Weight uncertainty in neural net- work

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Distribution free uncertainty quantification in neuroscience-inspired deep operators A tutorial on conformal prediction

Reference 36

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Distribution free uncertainty quantification in neuroscience-inspired deep operators Randomized prior functions for deep reinforcement learning

Reference 37

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Observation ae9cdc6b-f68a-4c00-8552-36603f5aa9ac · outbound

This paper cites Randomized prior wavelet neural operator for uncertainty quantification.

Distribution free uncertainty quantification in neuroscience-inspired deep operators Randomized prior wavelet neural operator for uncertainty quantification

Reference 38

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Observation c5efd7ba-7a96-44c4-8d17-88e064c89ddd · outbound

This paper cites Gaussian processes for machine learning , volume 2.

Distribution free uncertainty quantification in neuroscience-inspired deep operators Gaussian processes for machine learning , volume 2

Reference 39

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Observation 3d41b026-b835-4176-8dfa-726323671145 · outbound

This paper cites A tutorial on gaussian process regression: Modelling, exploring, and exploiting functions.

Distribution free uncertainty quantification in neuroscience-inspired deep operators A tutorial on gaussian process regression: Modelling, exploring, and exploiting functions

Reference 40

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Observation f8c3ec67-6e6c-45c6-beff-72865edf4876 · outbound

This paper cites Quantile regression.

Distribution free uncertainty quantification in neuroscience-inspired deep operators Quantile regression

Reference 41

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verified fuzzy
raw_fallback, observed 2026-08-11T17:11:20.168278Z

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Observation 8a12affd-6fdf-4560-8a5d-bf57bbea676a · outbound

This paper cites Quantile regression.

Distribution free uncertainty quantification in neuroscience-inspired deep operators Quantile regression

Reference 42

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 2b29fa30-10ce-450b-9fc8-0c9cb3323576 · outbound

This paper cites Neuroscience inspired scientific machine learning (Part-1): Variable spiking neuron for regression.

Distribution free uncertainty quantification in neuroscience-inspired deep operators Neuroscience inspired scientific machine learning (Part-1): Variable spiking neuron for regression

Reference 43

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local_arxiv, observed 2026-08-11T17:11:04.871069Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 781a6a5c-40d5-470f-9d12-18766a141267 · outbound

This paper cites Surrogate gradient learning in spiking neural net- works: Bringing the power of gradient-based optimization to spiking neural networks.

Distribution free uncertainty quantification in neuroscience-inspired deep operators Surrogate gradient learning in spiking neural net- works: Bringing the power of gradient-based optimization to spiking neural networks

Reference 44

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 73ebb18b-6eee-4d1c-a229-ec5ab246d56f · outbound

This paper cites Graph-theoretic-approach-assisted gaussian process for nonlinear stochastic dynamic analysis under generalized loading.

Distribution free uncertainty quantification in neuroscience-inspired deep operators Graph-theoretic-approach-assisted gaussian process for nonlinear stochastic dynamic analysis under generalized loading

Reference 45

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation ae2bcf2e-1163-4791-8a02-8dbd8dad328f · outbound

This paper cites A comprehensive and fair comparison of two neural operators (with practical extensions) based on fair data.

Distribution free uncertainty quantification in neuroscience-inspired deep operators A comprehensive and fair comparison of two neural operators (with practical extensions) based on fair data

Reference 46

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Observation 6089b6ac-33de-4d51-b6e3-53dc4d3fa920 · outbound

This paper cites Openfwi: Large-scale multi-structural benchmark datasets for full waveform inversion.

Distribution free uncertainty quantification in neuroscience-inspired deep operators Openfwi: Large-scale multi-structural benchmark datasets for full waveform inversion

Reference 47

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malformed identifier
raw_fallback, observed 2026-08-11T17:11:20.078800Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Pith citing papers

No inbound Pith citation observations are available.