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Paper Citation Record · LEDGER

Optimal and Adaptive Bayesian Sampling for Non-Linear Parameter Estimation under White Noise

As of 11 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 0 inbound Pith citation observations for arXiv:2606.19896.

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2606.19896 v1

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Outbound references

Observation be5c4bf5-9c7e-43c0-965f-cbab4538845a · outbound

This paper cites Pukelsheim,Optimal Design of Experiments(So- ciety for Industrial and Applied Mathematics, Jan.

Optimal and Adaptive Bayesian Sampling for Non-Linear Parameter Estimation under White Noise Pukelsheim,Optimal Design of Experiments(So- ciety for Industrial and Applied Mathematics, Jan

Reference 1

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This paper cites Atkinson, A.

Optimal and Adaptive Bayesian Sampling for Non-Linear Parameter Estimation under White Noise Atkinson, A

Reference 2

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This paper cites A tutorial on adaptive design optimization.

Optimal and Adaptive Bayesian Sampling for Non-Linear Parameter Estimation under White Noise A tutorial on adaptive design optimization

Reference 3

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This paper cites Near- optimal sensor placements in Gaussian pro- cesses.

Optimal and Adaptive Bayesian Sampling for Non-Linear Parameter Estimation under White Noise Near- optimal sensor placements in Gaussian pro- cesses

Reference 4

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This paper cites Optimal design in psycho- logical research.

Optimal and Adaptive Bayesian Sampling for Non-Linear Parameter Estimation under White Noise Optimal design in psycho- logical research

Reference 5

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Optimal and Adaptive Bayesian Sampling for Non-Linear Parameter Estimation under White Noise Adaptive Design Optimization as a Promising Tool for Re- liable and Efficient Computational Fingerprint- ing

Reference 6

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Optimal and Adaptive Bayesian Sampling for Non-Linear Parameter Estimation under White Noise Optimized quantum sensing with a sin- gle electron spin using real-time adaptive mea- surements

Reference 7

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This paper cites Bayesian estimation for quantum sensing in the absence of single-shot detection.

Optimal and Adaptive Bayesian Sampling for Non-Linear Parameter Estimation under White Noise Bayesian estimation for quantum sensing in the absence of single-shot detection

Reference 8

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This paper cites Sequential Bayesian Experiment Design for Optically Detected Magnetic Resonance of Nitrogen-Vacancy Centers.

Optimal and Adaptive Bayesian Sampling for Non-Linear Parameter Estimation under White Noise Sequential Bayesian Experiment Design for Optically Detected Magnetic Resonance of Nitrogen-Vacancy Centers

Reference 9

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This paper cites Sequential Bayesian experiment design for adaptive Ramsey sequence measurements.

Optimal and Adaptive Bayesian Sampling for Non-Linear Parameter Estimation under White Noise Sequential Bayesian experiment design for adaptive Ramsey sequence measurements

Reference 10

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This paper cites Online adaptive quantum characteriza- tion of a nuclear spin.

Optimal and Adaptive Bayesian Sampling for Non-Linear Parameter Estimation under White Noise Online adaptive quantum characteriza- tion of a nuclear spin

Reference 11

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This paper cites Maximal Adaptive-Decision Speedups in Quantum-State Readout.

Optimal and Adaptive Bayesian Sampling for Non-Linear Parameter Estimation under White Noise Maximal Adaptive-Decision Speedups in Quantum-State Readout

Reference 12

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This paper cites Robust Spin Relaxometry with Fast Adap- tive Bayesian Estimation.

Optimal and Adaptive Bayesian Sampling for Non-Linear Parameter Estimation under White Noise Robust Spin Relaxometry with Fast Adap- tive Bayesian Estimation

Reference 13

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Optimal and Adaptive Bayesian Sampling for Non-Linear Parameter Estimation under White Noise Bayesian Experi- mental Design: A Review

Reference 14

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This paper cites Rainforth, A.

Optimal and Adaptive Bayesian Sampling for Non-Linear Parameter Estimation under White Noise Rainforth, A

Reference 15

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Optimal and Adaptive Bayesian Sampling for Non-Linear Parameter Estimation under White Noise Maximum En- tropy Sampling and Optimal Bayesian Experi- mental Design

Reference 16

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Optimal and Adaptive Bayesian Sampling for Non-Linear Parameter Estimation under White Noise Fast estimation of expected information gains for Bayesian experimental designs based on Laplace approximations

Reference 17

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Optimal and Adaptive Bayesian Sampling for Non-Linear Parameter Estimation under White Noise Fast Bayesian experimental design: Laplace-based importance sampling for the ex- pected information gain

Reference 18

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Optimal and Adaptive Bayesian Sampling for Non-Linear Parameter Estimation under White Noise A Fast and Scal- able Computational Framework for Large-Scale High-Dimensional Bayesian Optimal Experimen- tal Design

Reference 19

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This paper cites Asymptotic Cramer- Rao bounds for estimation of the parameters of damped sine waves in noise.

Optimal and Adaptive Bayesian Sampling for Non-Linear Parameter Estimation under White Noise Asymptotic Cramer- Rao bounds for estimation of the parameters of damped sine waves in noise

Reference 20

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This paper cites Optimal Sampling Strategies for the Measure- ment of Spin–Spin Relaxation Times.

Optimal and Adaptive Bayesian Sampling for Non-Linear Parameter Estimation under White Noise Optimal Sampling Strategies for the Measure- ment of Spin–Spin Relaxation Times

Reference 21

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Optimal and Adaptive Bayesian Sampling for Non-Linear Parameter Estimation under White Noise D- and c-optimal de- signs for exponential regression models used in viral dynamics and other applications

Reference 22

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Optimal and Adaptive Bayesian Sampling for Non-Linear Parameter Estimation under White Noise Optimal subsam- pling of multichannel damped sinusoids

Reference 23

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Optimal and Adaptive Bayesian Sampling for Non-Linear Parameter Estimation under White Noise Fisher information for smart sampling in time- domain spectroscopy

Reference 24

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Optimal and Adaptive Bayesian Sampling for Non-Linear Parameter Estimation under White Noise Unresolved cited work

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Optimal and Adaptive Bayesian Sampling for Non-Linear Parameter Estimation under White Noise LII. An essay towards solving a problem in the doctrine of chances. By the late Rev. Mr. Bayes, F. R. S. communicated by Mr. Price, in a letter to John Canton, A. M. F. R. S

Reference 26

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Optimal and Adaptive Bayesian Sampling for Non-Linear Parameter Estimation under White Noise Unresolved cited work

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Optimal and Adaptive Bayesian Sampling for Non-Linear Parameter Estimation under White Noise Bayesian analysis. III. Applica- tions to NMR signal detection, model selection, and parameter estimation

Reference 28

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Optimal and Adaptive Bayesian Sampling for Non-Linear Parameter Estimation under White Noise Bayesian analysis. I. Param- eter estimation using quadrature NMR mod- els

Reference 29

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Optimal and Adaptive Bayesian Sampling for Non-Linear Parameter Estimation under White Noise Bayesian analysis. II. Signal de- tection and model selection

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Optimal and Adaptive Bayesian Sampling for Non-Linear Parameter Estimation under White Noise Fast Marginal Likelihood Maximisation for Sparse Bayesian Models

Reference 31

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Optimal and Adaptive Bayesian Sampling for Non-Linear Parameter Estimation under White Noise Variational Bayesian Inference of Line Spectra

Reference 32

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Optimal and Adaptive Bayesian Sampling for Non-Linear Parameter Estimation under White Noise Super- fast Line Spectral Estimation

Reference 33

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Optimal and Adaptive Bayesian Sampling for Non-Linear Parameter Estimation under White Noise Variance of least squares estimators for a damped sinusoidal pro- cess

Reference 34

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Optimal and Adaptive Bayesian Sampling for Non-Linear Parameter Estimation under White Noise Unresolved cited work

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Optimal and Adaptive Bayesian Sampling for Non-Linear Parameter Estimation under White Noise A mathematical theory of com- munication

Reference 36

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This paper cites The Fredholm Determinant.

Optimal and Adaptive Bayesian Sampling for Non-Linear Parameter Estimation under White Noise The Fredholm Determinant

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Observation 4811ca46-adf0-407b-9196-99cd9bf45ceb · outbound

This paper cites The Laplace approximation accuracy in high dimensions: a refined analysis and new skew adjustment.

Optimal and Adaptive Bayesian Sampling for Non-Linear Parameter Estimation under White Noise The Laplace approximation accuracy in high dimensions: a refined analysis and new skew adjustment

Reference 38

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Observation 87e0d54b-de3e-482c-b8fd-47a2001de6e3 · outbound

This paper cites Meyer,Matrix Analysis and Applied Linear Al- gebra(SIAM, Philadelphia, PA, Jan.

Optimal and Adaptive Bayesian Sampling for Non-Linear Parameter Estimation under White Noise Meyer,Matrix Analysis and Applied Linear Al- gebra(SIAM, Philadelphia, PA, Jan

Reference 39

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Observation f664395d-c705-404e-85d4-c3626f722477 · outbound

This paper cites The Levenberg-Marquardt algorithm: Implementation and theory.

Optimal and Adaptive Bayesian Sampling for Non-Linear Parameter Estimation under White Noise The Levenberg-Marquardt algorithm: Implementation and theory

Reference 40

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Observation f51f51d6-a9ee-4828-8095-bfff273baeca · outbound

This paper cites The Differenti- ation of Pseudo-Inverses and Nonlinear Least Squares Problems Whose Variables Separate.

Optimal and Adaptive Bayesian Sampling for Non-Linear Parameter Estimation under White Noise The Differenti- ation of Pseudo-Inverses and Nonlinear Least Squares Problems Whose Variables Separate

Reference 41

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Observation a6f840ad-4a0a-462d-adc7-75291d9ddb1b · outbound

This paper cites A variable projection method for solving separable nonlinear least squares prob- lems.

Optimal and Adaptive Bayesian Sampling for Non-Linear Parameter Estimation under White Noise A variable projection method for solving separable nonlinear least squares prob- lems

Reference 42

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Observation 3d961121-15ac-45f1-be86-68c0341f9433 · outbound

This paper cites Variable pro- jection for nonlinear least squares problems.

Optimal and Adaptive Bayesian Sampling for Non-Linear Parameter Estimation under White Noise Variable pro- jection for nonlinear least squares problems

Reference 43

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Observation de5ac3f4-eb07-434d-9bb6-7a18edc96fd2 · outbound

This paper cites Hierarchical max- imum likelihood estimation for time-resolved NMR data.

Optimal and Adaptive Bayesian Sampling for Non-Linear Parameter Estimation under White Noise Hierarchical max- imum likelihood estimation for time-resolved NMR data

Reference 44

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Observation a751b123-72a4-43cb-8ab9-d7c5ba9ec089 · outbound

This paper cites Spin Relaxometry with Solid-State Defects: Theory, Platforms, and Applications.

Optimal and Adaptive Bayesian Sampling for Non-Linear Parameter Estimation under White Noise Spin Relaxometry with Solid-State Defects: Theory, Platforms, and Applications

Reference 45

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Observation 50ae8727-3b16-42a6-8bd5-8206d3bf96f0 · outbound

This paper cites Cramer-Rao lower bounds for a damped sinusoidal process.

Optimal and Adaptive Bayesian Sampling for Non-Linear Parameter Estimation under White Noise Cramer-Rao lower bounds for a damped sinusoidal process

Reference 46

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Observation 86df0e70-480d-4530-a157-417e6056577a · outbound

This paper cites Adjustment of an Inverse Matrix Corresponding to Changes in the Elements of a Given Column or a Given Row of the Original Matrix.

Optimal and Adaptive Bayesian Sampling for Non-Linear Parameter Estimation under White Noise Adjustment of an Inverse Matrix Corresponding to Changes in the Elements of a Given Column or a Given Row of the Original Matrix

Reference 47

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