Paper Citation Record · LEDGER

Theoretical and Practical Analysis of Fr\'echet Regression via Comparison Geometry

As of 19 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2502.01995.

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

pith.paper-citation-record.v1
2502.01995 v1

Coverage vector

measured 42 of 42 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T13:50:14.048277Z

measured 42 of 42 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

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

42 of 42 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ec93e5a1-367d-4bbc-b4da-f9343c751b9e · outbound

This paper cites The e-pca and m-pca: Dimension reduction of parameters by information geometry.

Theoretical and Practical Analysis of Fr\'echet Regression via Comparison Geometry The e-pca and m-pca: Dimension reduction of parameters by information geometry

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:50:14.517300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1cfd1e32-693b-4b77-885c-5d6d223fc21f · outbound

This paper cites Natural gradient works efficiently in learning.

Theoretical and Practical Analysis of Fr\'echet Regression via Comparison Geometry Natural gradient works efficiently in learning

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-09T13:50:13.911301Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 60fd9931-667c-4870-8edc-b29e2726fd8a · outbound

This paper cites Information geometry and its applications, volume 194.

Theoretical and Practical Analysis of Fr\'echet Regression via Comparison Geometry Information geometry and its applications, volume 194

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-09T13:50:13.914878Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2e6fb290-8139-4fea-a7ad-6ff682caa242 · outbound

This paper cites and Nagaoka, H.

Theoretical and Practical Analysis of Fr\'echet Regression via Comparison Geometry and Nagaoka, H

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:50:14.494956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e076d3f6-804f-4dd9-ac0a-c7fa9538974b · outbound

This paper cites Information geometry, volume 64.

Theoretical and Practical Analysis of Fr\'echet Regression via Comparison Geometry Information geometry, volume 64

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:50:14.485286Z

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Observation efafa3eb-bd03-4b7e-a63c-fed0de16d22d · outbound

This paper cites Lectures on spaces of nonpositive curvature, volume 25.

Theoretical and Practical Analysis of Fr\'echet Regression via Comparison Geometry Lectures on spaces of nonpositive curvature, volume 25

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:50:14.475443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5e74c37f-6f20-4b62-8e7d-f427387d963b · outbound

This paper cites and M \"u ller, H.-G.

Theoretical and Practical Analysis of Fr\'echet Regression via Comparison Geometry and M \"u ller, H.-G

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:50:14.465007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4ae93e2c-58f2-48af-96b9-36fb5b0c36d8 · outbound

This paper cites an unresolved cited work.

Theoretical and Practical Analysis of Fr\'echet Regression via Comparison Geometry Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-09T13:50:14.454951Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a7159087-055c-47f3-9225-ca027420abb3 · outbound

This paper cites an unresolved cited work.

Theoretical and Practical Analysis of Fr\'echet Regression via Comparison Geometry Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-09T13:50:14.444543Z

Source-reported events for the cited work

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Observation e857fc49-69df-4c2b-bdb4-293704050a1f · outbound

This paper cites M., Raich, R., Finn, W.

Theoretical and Practical Analysis of Fr\'echet Regression via Comparison Geometry M., Raich, R., Finn, W

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:50:14.434518Z

Source-reported events for the cited work

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Observation 5bd9e9c1-7d7d-43fe-9b8c-71cc5d86d509 · outbound

This paper cites and Grove, K.

Theoretical and Practical Analysis of Fr\'echet Regression via Comparison Geometry and Grove, K

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:50:14.424669Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ed74096f-681c-42bb-8478-fc7c02a61030 · outbound

This paper cites G., and Ebin, D.

Theoretical and Practical Analysis of Fr\'echet Regression via Comparison Geometry G., and Ebin, D

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:50:14.412860Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b04f2af5-3f21-4de2-9997-fcfe5fb8fa02 · outbound

This paper cites and M \"u ller, H.-G.

Theoretical and Practical Analysis of Fr\'echet Regression via Comparison Geometry and M \"u ller, H.-G

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:50:14.402112Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 70abde3f-0f0a-4569-abc4-73a2da99fae7 · outbound

This paper cites C., Fletcher, P.

Theoretical and Practical Analysis of Fr\'echet Regression via Comparison Geometry C., Fletcher, P

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:50:14.391967Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5fca3289-437e-4399-ae95-681fb417c08f · outbound

This paper cites Spherical regression.

Theoretical and Practical Analysis of Fr\'echet Regression via Comparison Geometry Spherical regression

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:50:14.380872Z

Source-reported events for the cited work

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Observation c46c2634-f6b3-402e-8847-0dc0adec804e · outbound

This paper cites Applying inverse stereographic projection to manifold learning and clustering.

Theoretical and Practical Analysis of Fr\'echet Regression via Comparison Geometry Applying inverse stereographic projection to manifold learning and clustering

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:50:14.369804Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 498cd41d-22da-40b9-a490-700c4708359d · outbound

This paper cites and Meyer, F.

Theoretical and Practical Analysis of Fr\'echet Regression via Comparison Geometry and Meyer, F

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:50:14.358480Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4012a449-97c9-4ae7-85c7-4d86cda816c0 · outbound

This paper cites Application of the single index methodology to the local Fr \'e chet regression in the context of Object oriented data analysis (OODA).

Theoretical and Practical Analysis of Fr\'echet Regression via Comparison Geometry Application of the single index methodology to the local Fr \'e chet regression in the context of Object oriented data analysis (OODA)

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:50:14.347838Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ec189a80-094a-4e06-9fb8-1add6f8ef4fd · outbound

This paper cites Fr \'e chet single index models for object response regression.

Theoretical and Practical Analysis of Fr\'echet Regression via Comparison Geometry Fr \'e chet single index models for object response regression

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:50:14.336220Z

Source-reported events for the cited work

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Observation 73baea01-aa67-42dc-8858-cd6f0d662e3e · outbound

This paper cites and Petersen, P.

Theoretical and Practical Analysis of Fr\'echet Regression via Comparison Geometry and Petersen, P

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:50:14.324068Z

Source-reported events for the cited work

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Observation dba4c08e-7c64-4c50-850f-f8d225d8d1a4 · outbound

This paper cites Robust nonparametric regression with metric-space valued output.

Theoretical and Practical Analysis of Fr\'echet Regression via Comparison Geometry Robust nonparametric regression with metric-space valued output

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:50:14.313002Z

Source-reported events for the cited work

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Observation 3775d645-2373-4410-9f17-38f05537cb5f · outbound

This paper cites Nonpositive curvature: geometric and analytic aspects.

Theoretical and Practical Analysis of Fr\'echet Regression via Comparison Geometry Nonpositive curvature: geometric and analytic aspects

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:50:14.299886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8697caf3-c35c-4d38-a9e3-9d80ac150de3 · outbound

This paper cites Generalized t-sne through the lens of information geometry.

Theoretical and Practical Analysis of Fr\'echet Regression via Comparison Geometry Generalized t-sne through the lens of information geometry

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:50:14.287963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f0efa2ce-87ce-45a3-a47b-1941c220b514 · outbound

This paper cites Density Ratio Estimation via Sampling along Generalized Geodesics on Statistical Manifolds.

Theoretical and Practical Analysis of Fr\'echet Regression via Comparison Geometry Density Ratio Estimation via Sampling along Generalized Geodesics on Statistical Manifolds

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-09T13:50:13.987648Z

Source-reported events for the cited work

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Observation 1a1a4c8a-b5ba-4431-832b-daa6e09a1632 · outbound

This paper cites and Hino, H.

Theoretical and Practical Analysis of Fr\'echet Regression via Comparison Geometry and Hino, H

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:50:14.275910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 36af65bc-0954-402d-8bb3-ea1a4ebc0d74 · outbound

This paper cites and Hino, H.

Theoretical and Practical Analysis of Fr\'echet Regression via Comparison Geometry and Hino, H

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:50:14.265191Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5047eba0-6625-48ac-9a32-4eb603f57e8a · outbound

This paper cites and M \"u ller, H.-G.

Theoretical and Practical Analysis of Fr\'echet Regression via Comparison Geometry and M \"u ller, H.-G

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:50:14.252887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4691d948-0127-4398-b0c4-b1620ad023f1 · outbound

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Theoretical and Practical Analysis of Fr\'echet Regression via Comparison Geometry Unresolved cited work

Reference 28

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Observation 76dc6cfb-741d-42c1-a6ec-32cc5bff8a99 · outbound

This paper cites Information geometry of u-boost and bregman divergence.

Theoretical and Practical Analysis of Fr\'echet Regression via Comparison Geometry Information geometry of u-boost and bregman divergence

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:50:14.231375Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c9bac300-3a3e-412f-8c98-0f9645696951 · outbound

This paper cites an unresolved cited work.

Theoretical and Practical Analysis of Fr\'echet Regression via Comparison Geometry Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-09T13:50:14.008845Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 70d9e23f-0ea2-4002-b547-204570e71416 · outbound

This paper cites An elementary introduction to information geometry.

Theoretical and Practical Analysis of Fr\'echet Regression via Comparison Geometry An elementary introduction to information geometry

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:50:14.214266Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 913d892c-d84b-48e7-b578-99795b28595a · outbound

This paper cites an unresolved cited work.

Theoretical and Practical Analysis of Fr\'echet Regression via Comparison Geometry Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-09T13:50:14.203914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6ad2c8ce-7ec5-4663-ae29-3c874405e8f6 · outbound

This paper cites and M \"u ller, H.-G.

Theoretical and Practical Analysis of Fr\'echet Regression via Comparison Geometry and M \"u ller, H.-G

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:50:14.193850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3328ffc8-6699-433b-9464-bc563deedcf2 · outbound

This paper cites Random forest weighted local fr \'e chet regression with random objects.

Theoretical and Practical Analysis of Fr\'echet Regression via Comparison Geometry Random forest weighted local fr \'e chet regression with random objects

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:50:14.182648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 000437b3-b03b-4be0-af78-50291f20146d · outbound

This paper cites and Han, K.

Theoretical and Practical Analysis of Fr\'echet Regression via Comparison Geometry and Han, K

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:50:14.171756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f94e53cc-3f4d-4e01-b6e8-c475ec2549d4 · outbound

This paper cites and Hein, M.

Theoretical and Practical Analysis of Fr\'echet Regression via Comparison Geometry and Hein, M

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:50:14.160560Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0234717c-f6ce-4c1a-bf51-ba1c2b702d2e · outbound

This paper cites C., Wu, Y., and M \"u ller, H.-G.

Theoretical and Practical Analysis of Fr\'echet Regression via Comparison Geometry C., Wu, Y., and M \"u ller, H.-G

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:50:14.148179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8d2e8922-7dae-4e82-89fb-8a066dfb1bee · outbound

This paper cites an unresolved cited work.

Theoretical and Practical Analysis of Fr\'echet Regression via Comparison Geometry Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-09T13:50:14.137086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 95eab247-f63e-425e-ba7f-ea036b893eac · outbound

This paper cites and Wylie, W.

Theoretical and Practical Analysis of Fr\'echet Regression via Comparison Geometry and Wylie, W

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:50:14.126608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation bfaac613-08fd-48be-b126-24ada77e3823 · outbound

This paper cites Frequentist model averaging for global fr \'e chet regression.

Theoretical and Practical Analysis of Fr\'echet Regression via Comparison Geometry Frequentist model averaging for global fr \'e chet regression

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:50:14.116388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2fd9202d-bf27-4108-92dd-78493aae8a1e · outbound

This paper cites Dimension reduction for fr \'e chet regression.

Theoretical and Practical Analysis of Fr\'echet Regression via Comparison Geometry Dimension reduction for fr \'e chet regression

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:50:14.105872Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c7775794-4e1d-4d0a-9e4d-8f1b0e6c9d75 · outbound

This paper cites write newline.

Theoretical and Practical Analysis of Fr\'echet Regression via Comparison Geometry write newline

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-09T13:50:14.048277Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

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