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Paper Citation Record · LEDGER

A global Lipschitz stability perspective for understanding approximate approaches in Bayesian sequential learning

As of 19 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 1 inbound Pith citation observation for arXiv:2507.20379.

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

pith.paper-citation-record.v1
2507.20379 v1

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T17:52:10.001167Z

measured 44 of 44 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T13:15:29.708198Z

measured 1 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-05T02:28:24.338817Z

Reference resolution

43 of 43 outbound references displayed

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External citation measurements

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Outbound references

Observation c1712378-7527-4db2-a5c6-4ae2046400a3 · outbound

This paper cites On some Lipschitz -type functions.

A global Lipschitz stability perspective for understanding approximate approaches in Bayesian sequential learning On some Lipschitz -type functions

Reference 1

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This paper cites Data-driven approximation of stationary nonlinear filters with optimal transport maps.

A global Lipschitz stability perspective for understanding approximate approaches in Bayesian sequential learning Data-driven approximation of stationary nonlinear filters with optimal transport maps

Reference 2

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Observation c5217ff1-e706-4f62-a44b-d6371e817c81 · outbound

This paper cites Fast filtering of non-Gaussian models using Amortized Optimal Transport Maps.

A global Lipschitz stability perspective for understanding approximate approaches in Bayesian sequential learning Fast filtering of non-Gaussian models using Amortized Optimal Transport Maps

Reference 3

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Observation ae562cee-31d8-48be-a2a6-d306a2ab6059 · outbound

This paper cites Stability and infinitesimal robustness of posterior distribution and posterior quantities.

A global Lipschitz stability perspective for understanding approximate approaches in Bayesian sequential learning Stability and infinitesimal robustness of posterior distribution and posterior quantities

Reference 4

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This paper cites Uniform stability of posteriors.

A global Lipschitz stability perspective for understanding approximate approaches in Bayesian sequential learning Uniform stability of posteriors

Reference 5

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Observation f82ec21b-448a-4c4e-bf3f-c145fc12ec11 · outbound

This paper cites Berger and Elías Moreno.

A global Lipschitz stability perspective for understanding approximate approaches in Bayesian sequential learning Berger and Elías Moreno

Reference 6

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This paper cites Bayesian robustness with more than one class of contamination.

A global Lipschitz stability perspective for understanding approximate approaches in Bayesian sequential learning Bayesian robustness with more than one class of contamination

Reference 7

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This paper cites Burt, Carl Edward Rasmussen, and Mark van der Wilk.

A global Lipschitz stability perspective for understanding approximate approaches in Bayesian sequential learning Burt, Carl Edward Rasmussen, and Mark van der Wilk

Reference 8

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This paper cites Online variational filtering and parameter learning.

A global Lipschitz stability perspective for understanding approximate approaches in Bayesian sequential learning Online variational filtering and parameter learning

Reference 9

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This paper cites Statistical Accuracy of Approximate Filtering Methods.

A global Lipschitz stability perspective for understanding approximate approaches in Bayesian sequential learning Statistical Accuracy of Approximate Filtering Methods

Reference 10

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This paper cites Measuring dependence in the Wasserstein distance for Bayesian nonparametric models.

A global Lipschitz stability perspective for understanding approximate approaches in Bayesian sequential learning Measuring dependence in the Wasserstein distance for Bayesian nonparametric models

Reference 11

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Observation 94b3a8ff-9786-43ea-ab02-8cd202216a1e · outbound

This paper cites Additive smoothing error in backward variational inference for general state-space models.

A global Lipschitz stability perspective for understanding approximate approaches in Bayesian sequential learning Additive smoothing error in backward variational inference for general state-space models

Reference 12

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This paper cites A survey of convergence results on particle filtering.

A global Lipschitz stability perspective for understanding approximate approaches in Bayesian sequential learning A survey of convergence results on particle filtering

Reference 13

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A global Lipschitz stability perspective for understanding approximate approaches in Bayesian sequential learning Stable approximation schemes for optimal filters

Reference 14

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This paper cites Deep composition of tensor-trains using squared inverse Rosenblatt transport.

A global Lipschitz stability perspective for understanding approximate approaches in Bayesian sequential learning Deep composition of tensor-trains using squared inverse Rosenblatt transport

Reference 15

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This paper cites Memming Park.

A global Lipschitz stability perspective for understanding approximate approaches in Bayesian sequential learning Memming Park

Reference 16

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A global Lipschitz stability perspective for understanding approximate approaches in Bayesian sequential learning On the performance of particle filters with adaptive number of particles

Reference 17

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This paper cites Sequential Monte Carlo Methods in Practice , volume 1.

A global Lipschitz stability perspective for understanding approximate approaches in Bayesian sequential learning Sequential Monte Carlo Methods in Practice , volume 1

Reference 18

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This paper cites Bayesian Posterior Perturbation Analysis with Integral Probability Metrics.

A global Lipschitz stability perspective for understanding approximate approaches in Bayesian sequential learning Bayesian Posterior Perturbation Analysis with Integral Probability Metrics

Reference 19

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A global Lipschitz stability perspective for understanding approximate approaches in Bayesian sequential learning Gibbs and Su Francis Edward

Reference 20

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A global Lipschitz stability perspective for understanding approximate approaches in Bayesian sequential learning Transport map coupling filter for state-parameter estimation

Reference 21

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A global Lipschitz stability perspective for understanding approximate approaches in Bayesian sequential learning Gustafson and Wasserman Larry

Reference 22

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A global Lipschitz stability perspective for understanding approximate approaches in Bayesian sequential learning Gaussian filters for nonlinear filtering problems

Reference 23

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A global Lipschitz stability perspective for understanding approximate approaches in Bayesian sequential learning On the approximation accuracy of gaussian variational inference

Reference 24

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A global Lipschitz stability perspective for understanding approximate approaches in Bayesian sequential learning Data Assimilation: A Mathematical Introduction, volume 62

Reference 25

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A global Lipschitz stability perspective for understanding approximate approaches in Bayesian sequential learning Stability and uniform approximation of nonlinear filters using the Hilbert metric and application to particle filters

Reference 26

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This paper cites Large Sample Asymptotics for the Ensemble Kalman Filter.

A global Lipschitz stability perspective for understanding approximate approaches in Bayesian sequential learning Large Sample Asymptotics for the Ensemble Kalman Filter

Reference 27

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A global Lipschitz stability perspective for understanding approximate approaches in Bayesian sequential learning Unresolved cited work

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A global Lipschitz stability perspective for understanding approximate approaches in Bayesian sequential learning Probabilistic filter and smoother for variational inference of Bayesian linear dynamical system

Reference 29

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A global Lipschitz stability perspective for understanding approximate approaches in Bayesian sequential learning Unresolved cited work

Reference 30

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A global Lipschitz stability perspective for understanding approximate approaches in Bayesian sequential learning Can local particle filters beat the curse of dimensionality? Annals of Applied Probability, 25 0 (5): 0 2809--2866, 2015

Reference 31

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A global Lipschitz stability perspective for understanding approximate approaches in Bayesian sequential learning Wasserstein convergence in Bayesian and frequentist deconvolution models

Reference 32

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This paper cites Posterior ranges of functions of parameters under priors with specified quantiles.

A global Lipschitz stability perspective for understanding approximate approaches in Bayesian sequential learning Posterior ranges of functions of parameters under priors with specified quantiles

Reference 33

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A global Lipschitz stability perspective for understanding approximate approaches in Bayesian sequential learning Sanz-Alonso, A

Reference 34

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A global Lipschitz stability perspective for understanding approximate approaches in Bayesian sequential learning Measuring local sensitivity in Bayesian inference using a new class of metrics

Reference 35

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A global Lipschitz stability perspective for understanding approximate approaches in Bayesian sequential learning Bounds on posterior expectation for density bounded classes with constant bandwith

Reference 36

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This paper cites On the local lipschitz stability of Bayesian inverse problems.

A global Lipschitz stability perspective for understanding approximate approaches in Bayesian sequential learning On the local lipschitz stability of Bayesian inverse problems

Reference 37

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This paper cites Bayesian Filtering and Smoothing.

A global Lipschitz stability perspective for understanding approximate approaches in Bayesian sequential learning Bayesian Filtering and Smoothing

Reference 38

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This paper cites Optimal Transport: Old and New.

A global Lipschitz stability perspective for understanding approximate approaches in Bayesian sequential learning Optimal Transport: Old and New

Reference 39

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This paper cites Factorization-based online variational inference for state-parameter estimation of partially observable nonlinear dynamical systems.

A global Lipschitz stability perspective for understanding approximate approaches in Bayesian sequential learning Factorization-based online variational inference for state-parameter estimation of partially observable nonlinear dynamical systems

Reference 40

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This paper cites Optimal transport and Wasserstein distance.

A global Lipschitz stability perspective for understanding approximate approaches in Bayesian sequential learning Optimal transport and Wasserstein distance

Reference 41

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This paper cites Convergence rates of variational posterior distributions.

A global Lipschitz stability perspective for understanding approximate approaches in Bayesian sequential learning Convergence rates of variational posterior distributions

Reference 42

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Observation 7e665dc4-16d3-4803-8de1-371a09e0ed4f · outbound

This paper cites Tensor-train methods for sequential state and parameter learning in state-space models.

A global Lipschitz stability perspective for understanding approximate approaches in Bayesian sequential learning Tensor-train methods for sequential state and parameter learning in state-space models

Reference 43

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Sequential Bayesian parameter-state estimation in dynamical systems with noisy and incomplete observations via a variational framework cites this paper.

Sequential Bayesian parameter-state estimation in dynamical systems with noisy and incomplete observations via a variational framework A global Lipschitz stability perspective for understanding approximate approaches in Bayesian sequential learning

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