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Paper Citation Record · LEDGER

Estimating Dataset Dimension via Singular Metrics under the Manifold Hypothesis: Application to Inverse Problems

As of 7 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2507.07291.

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

pith.paper-citation-record.v1
2507.07291 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T18:52:38.803990Z

measured 20 of 20 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.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

20 of 20 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a63b54e9-28ca-4e85-b4c2-705ef3349bbc · outbound

This paper cites Losing dimensions: Ge- ometric memorization in generative diffusion.

Estimating Dataset Dimension via Singular Metrics under the Manifold Hypothesis: Application to Inverse Problems Losing dimensions: Ge- ometric memorization in generative diffusion

Reference 1

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Observation 588fb563-241d-4aa2-972c-5d1be17cf281 · outbound

This paper cites Visualizing feature maps for model selec- tion in convolutional neural networks.

Estimating Dataset Dimension via Singular Metrics under the Manifold Hypothesis: Application to Inverse Problems Visualizing feature maps for model selec- tion in convolutional neural networks

Reference 13

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Observation 80864cc9-2c31-4ecd-8e5c-1b1f78dbd0e1 · outbound

This paper cites Manifold learning: What, how, and why.

Estimating Dataset Dimension via Singular Metrics under the Manifold Hypothesis: Application to Inverse Problems Manifold learning: What, how, and why

Reference 14

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Observation a27ce9df-a3ab-4a96-8741-a68d82042272 · outbound

This paper cites InfoCatVAE: Representation Learning with Categorical Variational Autoencoders.

Estimating Dataset Dimension via Singular Metrics under the Manifold Hypothesis: Application to Inverse Problems InfoCatVAE: Representation Learning with Categorical Variational Autoencoders

Reference 16

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Observation 71cce1d0-2d9f-407c-a834-d3fa55e38180 · outbound

This paper cites Tashlinskiy and Alena V.

Estimating Dataset Dimension via Singular Metrics under the Manifold Hypothesis: Application to Inverse Problems Tashlinskiy and Alena V

Reference 18

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Observation ae3a122c-67ab-4791-918a-0473833f7b8d · outbound

This paper cites Score-based generative model learn manifold-like structures with constrained mixing.

Estimating Dataset Dimension via Singular Metrics under the Manifold Hypothesis: Application to Inverse Problems Score-based generative model learn manifold-like structures with constrained mixing

Reference 19

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Observation ca214ed0-3e37-43c3-8f3c-869d28bb09ce · outbound

This paper cites 30 Appendix A.

Estimating Dataset Dimension via Singular Metrics under the Manifold Hypothesis: Application to Inverse Problems 30 Appendix A

Reference 20

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Observation 16b3b526-9ca8-4c1e-9cad-77912db8dc68 · outbound

This paper cites Manifold learn- ing benefits GANs.

Estimating Dataset Dimension via Singular Metrics under the Manifold Hypothesis: Application to Inverse Problems Manifold learn- ing benefits GANs

Reference 1954

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Observation ca6510d0-2c60-4f11-a353-843b62dbb4ae · outbound

This paper cites Little, Jason Lee, Yoon-Mo Jung, and Mauro Maggioni.

Estimating Dataset Dimension via Singular Metrics under the Manifold Hypothesis: Application to Inverse Problems Little, Jason Lee, Yoon-Mo Jung, and Mauro Maggioni

Reference 1999

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Observation eac34654-398b-4463-9433-1eb6c1617129 · outbound

This paper cites Caterini, Gabriel Loaiza-Ganem, Geoff Pleiss, and John P.

Estimating Dataset Dimension via Singular Metrics under the Manifold Hypothesis: Application to Inverse Problems Caterini, Gabriel Loaiza-Ganem, Geoff Pleiss, and John P

Reference 2001

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Observation 00cabc30-5e2f-4362-8a4f-50617f428cca · outbound

This paper cites 22nd International Conference on Machine Learn- ing (ICML 2005).

Estimating Dataset Dimension via Singular Metrics under the Manifold Hypothesis: Application to Inverse Problems 22nd International Conference on Machine Learn- ing (ICML 2005)

Reference 2005

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Observation eb9f4665-66e5-478e-bb6e-cb28be4320a6 · outbound

This paper cites Competitive Training of Mixtures of Independent Deep Generative Models.

Estimating Dataset Dimension via Singular Metrics under the Manifold Hypothesis: Application to Inverse Problems Competitive Training of Mixtures of Independent Deep Generative Models

Reference 2011

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Observation 7a825ddb-b692-40f4-9836-c74df3d4d6dc · outbound

This paper cites A Geometric View of Data Complexity: Efficient Local Intrinsic Dimension Estimation with Diffusion Models.

Estimating Dataset Dimension via Singular Metrics under the Manifold Hypothesis: Application to Inverse Problems A Geometric View of Data Complexity: Efficient Local Intrinsic Dimension Estimation with Diffusion Models

Reference 2013

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Observation d86b871d-1df6-4da4-a429-a841a7f6a877 · outbound

This paper cites In- trinsic dimension estimation: Relevant techniques and a benchmark framework.

Estimating Dataset Dimension via Singular Metrics under the Manifold Hypothesis: Application to Inverse Problems In- trinsic dimension estimation: Relevant techniques and a benchmark framework

Reference 2014

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Observation 2165a3df-07de-4f68-8355-9253fd770a25 · outbound

This paper cites Variational deep embedding: an unsupervised and generative approach to clus- tering.

Estimating Dataset Dimension via Singular Metrics under the Manifold Hypothesis: Application to Inverse Problems Variational deep embedding: an unsupervised and generative approach to clus- tering

Reference 2015

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Observation 91455ca6-0042-4334-a86a-c010f0faee8b · outbound

This paper cites [Lip99] Alan H.

Estimating Dataset Dimension via Singular Metrics under the Manifold Hypothesis: Application to Inverse Problems [Lip99] Alan H

Reference 2017

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Observation 38444ce2-ed7f-4586-89a1-967b19f5b2d8 · outbound

This paper cites A Modular Deep Learning-based Approach for Diffuse Optical Tomography Reconstruction.

Estimating Dataset Dimension via Singular Metrics under the Manifold Hypothesis: Application to Inverse Problems A Modular Deep Learning-based Approach for Diffuse Optical Tomography Reconstruction

Reference 2018

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Observation 7dab9990-939c-4628-b6c5-ad38c3ab6dff · outbound

This paper cites Pel- legrini, Ralf S.

Estimating Dataset Dimension via Singular Metrics under the Manifold Hypothesis: Application to Inverse Problems Pel- legrini, Ralf S

Reference 2021

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Observation e00ff147-cefa-40bf-a0e4-d24ffccded2e · outbound

This paper cites [KSE18] Mahyar Khayatkhoei, Maneesh Singh, and Ahmed Elgammal.

Estimating Dataset Dimension via Singular Metrics under the Manifold Hypothesis: Application to Inverse Problems [KSE18] Mahyar Khayatkhoei, Maneesh Singh, and Ahmed Elgammal

Reference 2022

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This paper cites Effectiveness of correlation and information measures for synthesis of recurrent algorithms for estimating spatial deformations of video sequences.

Estimating Dataset Dimension via Singular Metrics under the Manifold Hypothesis: Application to Inverse Problems Effectiveness of correlation and information measures for synthesis of recurrent algorithms for estimating spatial deformations of video sequences

Reference 2024

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