Paper Citation Record · LEDGER

Variational Inference Optimized Using the Curved Geometry of Coupled Free Energy

As of 8 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2506.09091.

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

pith.paper-citation-record.v1
2506.09091 v3

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:12:50.484336Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

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measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

32 of 32 outbound references displayed

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verified fuzzy11
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External citation measurements

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Outbound references

Observation 24c955e7-449f-44e2-af9d-c083726514dd · outbound

This paper cites Blei, Alp Kucukelbir, and Jon D.

Variational Inference Optimized Using the Curved Geometry of Coupled Free Energy Blei, Alp Kucukelbir, and Jon D

Reference 1

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Observation 991dd16a-4e30-412a-90c9-c98ec9811391 · outbound

This paper cites Predictive coding under the free-energy principle.

Variational Inference Optimized Using the Curved Geometry of Coupled Free Energy Predictive coding under the free-energy principle

Reference 2

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Observation a8b0bd21-bea0-4069-b45f-9d0ead9bb329 · outbound

This paper cites Stochastic Gradient Descent.

Variational Inference Optimized Using the Curved Geometry of Coupled Free Energy Stochastic Gradient Descent

Reference 3

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Observation 4d0412fd-f22f-445e-a6e0-285aadda21c0 · outbound

This paper cites Backpropagation and stochastic gradient descent method.

Variational Inference Optimized Using the Curved Geometry of Coupled Free Energy Backpropagation and stochastic gradient descent method

Reference 4

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Observation 969eace0-8480-4f91-b2d3-1fd795f8e014 · outbound

This paper cites Stein Variational Gradient Descent: A General Purpose Bayesian Inference Algorithm.

Variational Inference Optimized Using the Curved Geometry of Coupled Free Energy Stein Variational Gradient Descent: A General Purpose Bayesian Inference Algorithm

Reference 5

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Observation e8fb3d6f-30ef-4700-a561-1987d83811ca · outbound

This paper cites Variational Inference with Nor- malizing Flows.

Variational Inference Optimized Using the Curved Geometry of Coupled Free Energy Variational Inference with Nor- malizing Flows

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:12:51.405973Z

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Observation c5528490-b97a-40d8-b7ec-a76aff42edce · outbound

This paper cites Normalizing Flows for Probabilistic Modeling and Inference.Journal of Machine Learning Research, 22(57):1– 64, 2021.

Variational Inference Optimized Using the Curved Geometry of Coupled Free Energy Normalizing Flows for Probabilistic Modeling and Inference.Journal of Machine Learning Research, 22(57):1– 64, 2021

Reference 7

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Observation 8fe5cc5c-f41d-4e7e-bbde-e81cc494e81e · outbound

This paper cites Kingma and Max Welling.

Variational Inference Optimized Using the Curved Geometry of Coupled Free Energy Kingma and Max Welling

Reference 8

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Observation f90f722a-bcae-4ddb-bf55-820c8699dcc9 · outbound

This paper cites Robust Variational Inference.

Variational Inference Optimized Using the Curved Geometry of Coupled Free Energy Robust Variational Inference

Reference 9

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Observation 5d874a62-fa18-47cd-acb2-22bbfe654111 · outbound

This paper cites Joshi, Jian Li, Sergül Aydöre, and Richard M.

Variational Inference Optimized Using the Curved Geometry of Coupled Free Energy Joshi, Jian Li, Sergül Aydöre, and Richard M

Reference 10

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Source-reported events for the cited work

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Observation b95a5f01-8820-42eb-a8eb-c38f99d23620 · outbound

This paper cites Federated learning meets Bayesian neural network: Robust and uncertainty-aware distributed vari- ational inference.

Variational Inference Optimized Using the Curved Geometry of Coupled Free Energy Federated learning meets Bayesian neural network: Robust and uncertainty-aware distributed vari- ational inference

Reference 11

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Source-reported events for the cited work

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Observation a4060b65-b528-449a-86d1-811928931ebd · outbound

This paper cites Wasserstein Auto-Encoders.

Variational Inference Optimized Using the Curved Geometry of Coupled Free Energy Wasserstein Auto-Encoders

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:12:51.347285Z

Source-reported events for the cited work

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Observation ec091c0a-9d40-4672-9c5a-05fcc10a87b2 · outbound

This paper cites beta-vae: Learn- ing basic visual concepts with a constrained variational framework.

Variational Inference Optimized Using the Curved Geometry of Coupled Free Energy beta-vae: Learn- ing basic visual concepts with a constrained variational framework

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:12:51.332590Z

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Observation e9451286-3d04-4f42-adb8-cfd74d866a56 · outbound

This paper cites Understanding disentangling in $\beta$-VAE.

Variational Inference Optimized Using the Curved Geometry of Coupled Free Energy Understanding disentangling in $\beta$-VAE

Reference 14

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Observation 5a026acc-74d8-4878-ac0f-233b71a5391e · outbound

This paper cites q-VAE for Disentangled Representation Learning and Latent Dynamical Systems.

Variational Inference Optimized Using the Curved Geometry of Coupled Free Energy q-VAE for Disentangled Representation Learning and Latent Dynamical Systems

Reference 15

Resolution: verified exact; raw_fallback, observed 2026-08-07T05:12:50.790796Z

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Observation 25474452-e192-444e-8d33-e45aa0313813 · outbound

This paper cites A Geomet- ric Variational Approach to Bayesian Inference.

Variational Inference Optimized Using the Curved Geometry of Coupled Free Energy A Geomet- ric Variational Approach to Bayesian Inference

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:12:51.317034Z

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Observation 290f4dea-ff1e-451b-936a-44031869271f · outbound

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Variational Inference Optimized Using the Curved Geometry of Coupled Free Energy Unresolved cited work

Reference 17

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Source-reported events for the cited work

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Observation 42de28c6-4292-41ca-964d-647dfd0a80cb · outbound

This paper cites Geometric Variational Inference and Its Application to Bayesian Imaging.

Variational Inference Optimized Using the Curved Geometry of Coupled Free Energy Geometric Variational Inference and Its Application to Bayesian Imaging

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:12:51.301084Z

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Observation ec418e1b-eea8-4279-a305-854e9fa8aa32 · outbound

This paper cites Information Geometry and Its Applications , vol- ume 194 of Applied Mathematical Sciences.

Variational Inference Optimized Using the Curved Geometry of Coupled Free Energy Information Geometry and Its Applications , vol- ume 194 of Applied Mathematical Sciences

Reference 19

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Observation 51256f9d-bf4a-4133-97c5-0edd2c3379f6 · outbound

This paper cites Geometry of q-Exponential Family of Probability Distributions.

Variational Inference Optimized Using the Curved Geometry of Coupled Free Energy Geometry of q-Exponential Family of Probability Distributions

Reference 20

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Observation e40fd3fe-7e2a-4387-9360-62aa1c7ffca7 · outbound

This paper cites Information geometry on the curved q -exponential family with application to survival data anal- ysis.

Variational Inference Optimized Using the Curved Geometry of Coupled Free Energy Information geometry on the curved q -exponential family with application to survival data anal- ysis

Reference 21

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Observation bd6de2ae-f00f-4b3b-b773-da93bda5b749 · outbound

This paper cites Springer Science & Business Media, 2009.

Variational Inference Optimized Using the Curved Geometry of Coupled Free Energy Springer Science & Business Media, 2009

Reference 22

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Source-reported events for the cited work

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Observation a19b7052-2867-4f0f-8872-9eee69ecd92d · outbound

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Variational Inference Optimized Using the Curved Geometry of Coupled Free Energy Unresolved cited work

Reference 23

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Observation 51aaad23-0c94-482f-9f1a-47b7e418af74 · outbound

This paper cites Nelson, Sabir R.

Variational Inference Optimized Using the Curved Geometry of Coupled Free Energy Nelson, Sabir R

Reference 24

Resolution: verified exact; doi, observed 2026-08-07T05:12:50.534540Z

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Observation 49cb5934-34e5-4df1-8719-bb6c1752be70 · outbound

This paper cites Information geometry in optimization, machine learning and statistical inference.Frontiers of Electrical and Electronic Engineering in China, 5(3):241–260, 2010.

Variational Inference Optimized Using the Curved Geometry of Coupled Free Energy Information geometry in optimization, machine learning and statistical inference.Frontiers of Electrical and Electronic Engineering in China, 5(3):241–260, 2010

Reference 25

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Observation c4281457-6245-4370-a6ef-c38f9dbbc44e · outbound

This paper cites Nelson, and Igor Oliveira.

Variational Inference Optimized Using the Curved Geometry of Coupled Free Energy Nelson, and Igor Oliveira

Reference 26

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This paper cites Nelson, and Mark A.

Variational Inference Optimized Using the Curved Geometry of Coupled Free Energy Nelson, and Mark A

Reference 27

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This paper cites URL https: //doi.org/10.1080/01621459.2019.1585253.

Variational Inference Optimized Using the Curved Geometry of Coupled Free Energy URL https: //doi.org/10.1080/01621459.2019.1585253

Reference 1459

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Observation 487c7e1d-7cc3-41bb-a588-c51df7b6bba1 · outbound

This paper cites https://doi.org/10.

Variational Inference Optimized Using the Curved Geometry of Coupled Free Energy https://doi.org/10

Reference 2016

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Observation d9e927e5-3f22-455e-b1fb-4807fbefaaca · outbound

This paper cites https://doi.org/10.1561/2200000056.

Variational Inference Optimized Using the Curved Geometry of Coupled Free Energy https://doi.org/10.1561/2200000056

Reference 2019

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This paper cites URL https: //www.sciencedirect.com/science/article/pii/S0893608025000140.

Variational Inference Optimized Using the Curved Geometry of Coupled Free Energy URL https: //www.sciencedirect.com/science/article/pii/S0893608025000140

Reference 6080

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Variational Inference Optimized Using the Curved Geometry of Coupled Free Energy URL https://www

Reference 9984

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Pith citing papers

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