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Paper Citation Record · LEDGER

Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects

As of 17 August 2026, this Paper Citation Record lists 80 of 80 outbound references and 0 inbound Pith citation observations for arXiv:2607.28981.

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

pith.paper-citation-record.v1
2607.28981 v1

Coverage vector

measured 80 of 80 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T16:12:18.504740Z

measured 80 of 80 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

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

80 of 80 outbound references displayed

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External citation measurements

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Outbound references

Observation da001a65-60ef-4b8a-ad09-6e6f06db1472 · outbound

This paper cites an unresolved cited work.

Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Unresolved cited work

Reference 1

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Observation 2fd02582-d658-4053-858f-615b4813866a · outbound

This paper cites an unresolved cited work.

Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Unresolved cited work

Reference 2

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This paper cites 1993 , isbn =.

Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects 1993 , isbn =

Reference 3

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This paper cites Canadian Journal of Statistics , year =.

Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Canadian Journal of Statistics , year =

Reference 4

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Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Journal of Nonparametric Statistics , volume=

Reference 5

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Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Unresolved cited work

Reference 6

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Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Journal of the American Statistical Association , volume=

Reference 7

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Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Unresolved cited work

Reference 8

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This paper cites Demography , volume=.

Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Demography , volume=

Reference 9

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Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Unresolved cited work

Reference 10

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This paper cites Doubly robust estimation of causal effects for random object outcomes with continuous treatments.

Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Doubly robust estimation of causal effects for random object outcomes with continuous treatments

Reference 11

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Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Unresolved cited work

Reference 12

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Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Unresolved cited work

Reference 13

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Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Lecture Notes, Columbia University , volume=

Reference 14

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Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects 2015 , publisher =

Reference 15

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Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects , author=

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Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Unresolved cited work

Reference 17

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Observation 5e80dc49-8fbe-4cce-928d-825a99e1d55b · outbound

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Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Advances in Neural Information Processing Systems , volume=

Reference 18

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Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects 2020 , publisher=

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Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Unresolved cited work

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Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects 2012 , publisher=

Reference 21

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Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Distance matrices and isometric embeddings

Reference 22

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Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects IEEE Trans

Reference 23

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Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition , pages=

Reference 24

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Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Journal of Machine Learning Research , year =

Reference 25

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Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Advances in Neural Information Processing Systems , volume=

Reference 26

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Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Russian Mathematical Surveys , volume=

Reference 27

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Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Advances in Neural Information Processing Systems , pages =

Reference 28

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Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Unresolved cited work

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Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects 2018 , publisher =

Reference 30

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Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Nonlinear global Fr

Reference 31

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Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Journal of Machine Learning Research , volume=

Reference 32

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Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects A Reproducing-Kernel-Based Nonparametric Test for Conditional Independence of Functional Data

Reference 33

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Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Advances in Neural Information Processing Systems , volume=

Reference 34

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Observation cf8d158e-938b-4c71-99fe-df4539b89811 · outbound

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Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Unresolved cited work

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Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Proceedings of the Twenty-Seventh Conference on Uncertainty in Artificial Intelligence , pages=

Reference 36

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Observation 37bc1d25-3de7-4df7-92e6-54e28d268dd7 · outbound

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Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Advances in Neural Information Processing Systems , volume=

Reference 37

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Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Dimension reduction for Fr

Reference 38

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Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Journal of Multivariate Analysis , volume=

Reference 39

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Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Gates Open Research , volume=

Reference 40

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Observation 1bb817c0-d161-460c-862a-afb901fce0c3 · outbound

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Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects 2013 , publisher=

Reference 41

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source=arxiv_source observed=2026-08-03T16:12:13.219496Z digest=sha256:a9a4f4fa030df7ce5137ea3b4fe05af2f9c11f6d2cb24bbecf7227962276396d

Observation 81631678-eda0-4a75-be52-c6f2e0ebe7b1 · outbound

This paper cites The Journal of Machine Learning Research , volume=.

Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects The Journal of Machine Learning Research , volume=

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source=arxiv_source observed=2026-08-03T16:12:13.314731Z digest=sha256:39bf0a1b560986d442103102364c51836705c623d9c77b7010db727e076cc925

Observation 07f96d19-31ef-493b-b517-f32ba57a92eb · outbound

This paper cites Advances in Neural Information Processing Systems , volume=.

Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Advances in Neural Information Processing Systems , volume=

Reference 43

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source=arxiv_source observed=2026-08-03T16:12:13.434790Z digest=sha256:fcf63d94ea2965a956e25b71e2c6f18a334565cbbff2acb1e56a92d6b6d806f0

Observation 1f27a0d3-7894-4f97-b87c-4c11983eb760 · outbound

This paper cites and Jordan, Michael I.

Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects and Jordan, Michael I

Reference 44

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source=arxiv_source observed=2026-08-03T16:12:13.554735Z digest=sha256:366749125ff260fe2cf936f803a5fbbd00344e8ba00817885364759dbf538801

Observation b8053b1c-9c63-4ff9-ad60-dc834b6f69b6 · outbound

This paper cites On some measures analogous to Haar measure.

Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects On some measures analogous to Haar measure

Reference 45

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source=arxiv_source observed=2026-08-03T16:12:13.684736Z digest=sha256:5e4bf185a2175f73b5782e27a789f3af97ce51f63e28f669621fd1b5115cd03c

Observation 16b7975b-a4f5-49f3-a635-ae85b3219557 · outbound

This paper cites Mathematika , author=.

Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Mathematika , author=

Reference 46

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source=arxiv_source observed=2026-08-03T16:12:13.854736Z digest=sha256:abc5940f4eb473df4911498f7afd6bba7a3b2f07092f2f8aafdb8d94501731ba

Observation e483ba66-5401-4372-b9bf-f8befc9ff048 · outbound

This paper cites , journal =.

Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects , journal =

Reference 47

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source=arxiv_source observed=2026-08-03T16:12:14.031833Z digest=sha256:d147bfabbc1fd2259aa71a3be52caf7d2fae55b41782026f9cf572c87e45c605

Observation d828cba9-5f4d-4930-8ef1-0575c730a6ee · outbound

This paper cites International conference on algorithmic learning theory , pages=.

Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects International conference on algorithmic learning theory , pages=

Reference 48

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source=arxiv_source observed=2026-08-03T16:12:14.158036Z digest=sha256:1f9b07d3bc3a0288dfff2e8b3f4b0edd7a46dcd09609328c11d9e923651262ac

Observation 1ab294db-72ee-44b0-91a5-c85626f98586 · outbound

This paper cites Journal of Machine Learning Research , volume=.

Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Journal of Machine Learning Research , volume=

Reference 49

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source=arxiv_source observed=2026-08-03T16:12:14.225220Z digest=sha256:eda1b249ba90255bc13829e3f6cb61bace65ff2d6090a9f7e89b61a7dd876b01

Observation 4ca23d7b-c855-45ac-a5be-9c7a81669ae8 · outbound

This paper cites Journal of the Royal Statistical Society Series B: Statistical Methodology , volume=.

Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Journal of the Royal Statistical Society Series B: Statistical Methodology , volume=

Reference 50

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source=arxiv_source observed=2026-08-03T16:12:14.404969Z digest=sha256:72887c0db8d5ba756e34b264ab50df41345bd6a72312100f0c91384d327071e9

Observation cf8803e0-ac68-4e9a-a0ec-a00ac697e618 · outbound

This paper cites Wasserstein F-tests for Fr.

Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Wasserstein F-tests for Fr

Reference 51

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source=arxiv_source observed=2026-08-03T16:12:14.565852Z digest=sha256:c708a793a9359a72caeae6bcf6bec2a32aed48a8157ab1188beb19cdc264b1b4

Observation 2539722c-6b27-4129-ad3f-8598c2b0ba31 · outbound

This paper cites Székely and Maria L.

Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Székely and Maria L

Reference 52

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source=arxiv_source observed=2026-08-03T16:12:14.664465Z digest=sha256:dd2b03bfa7699563e828b79a20b80d0097c5c880f2d9d69901d458d9b152c62d

Observation 94872876-9a85-40a9-8562-7e9f06618530 · outbound

This paper cites Journal of Statistical Software , volume=.

Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Journal of Statistical Software , volume=

Reference 53

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source=arxiv_source observed=2026-08-03T16:12:14.716467Z digest=sha256:b20d7ea383ff9b162825da9df748aad7ae5eabd17ad2113a70e8df57a588e4c5

Observation 837c8dea-1813-4b53-b8c0-6ecf231f6a31 · outbound

This paper cites Wu and Jun Chen and Christian Hoffmann and Kyle Bittinger and others , title =.

Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Wu and Jun Chen and Christian Hoffmann and Kyle Bittinger and others , title =

Reference 54

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source=arxiv_source observed=2026-08-03T16:12:14.792279Z digest=sha256:1e07c42f77ac573fbc73e4a5d98365923f1347434fee2536fb3753206d26c542

Observation fb8e0070-70a1-4ae7-a162-c34a9da7f75a · outbound

This paper cites Bioinformatics , volume=.

Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Bioinformatics , volume=

Reference 55

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source=arxiv_source observed=2026-08-03T16:12:14.864382Z digest=sha256:7d99738fa09c47b4b2f96192af4970db09d015106afd5f47cb2982a1783c14b7

Observation 343151d3-a571-4c00-81ba-3a210234b833 · outbound

This paper cites Annual Review of Statistics and Its Application , author =.

Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Annual Review of Statistics and Its Application , author =

Reference 56

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source=arxiv_source observed=2026-08-03T16:12:14.974801Z digest=sha256:c46b72ae48f8bf0439d8095d60ff4fa838fd8fd0eb3b6560ee79287ac42b0853

Observation 32858524-d825-4337-a63f-dfb364fbe338 · outbound

This paper cites The Lancet , volume=.

Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects The Lancet , volume=

Reference 57

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source=arxiv_source observed=2026-08-03T16:12:15.124745Z digest=sha256:62f1762fb59bd213173cb2193d342bae06a06ea3f07693a740e31b408ad3924e

Observation c1d88d62-7f03-4ea7-8122-f9574f7ff642 · outbound

This paper cites 2019 , institution =.

Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects 2019 , institution =

Reference 58

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source=arxiv_source observed=2026-08-03T16:12:15.254745Z digest=sha256:38eb30e99826a7f810c5d8fd4d2d0c3158c3f301f8cb3b700cd9a1700f8ce958

Observation c480d45e-d86b-4340-80be-424dda37f39e · outbound

This paper cites an unresolved cited work.

Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Unresolved cited work

Reference 59

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source=arxiv_source observed=2026-08-03T16:12:15.354815Z digest=sha256:316b706ad2535dfd8b2566d85203d3ab85d0b81fbcfafa2e9c0dd01382815ed5

Observation 1dad98bc-5a0e-41a5-a6d3-a6f51d740e78 · outbound

This paper cites an unresolved cited work.

Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Unresolved cited work

Reference 60

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source=arxiv_source observed=2026-08-03T16:12:15.494741Z digest=sha256:d39d5853a7dfa62f49e65a2c0c0f7c3aaf1853c99a9a74acddf07ffd4f3792de

Observation 09d44a07-89c6-4568-bccd-1f01c3775c28 · outbound

This paper cites Biometrika , volume=.

Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Biometrika , volume=

Reference 61

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source=arxiv_source observed=2026-08-03T16:12:15.674744Z digest=sha256:4bb065f182e7bb92109762f6f78ed09eb417ca3b88aedc0ea55461f2bb6dff29

Observation e310ad52-ca5c-41ee-85c9-9ba1eaaab1a2 · outbound

This paper cites Biometrika , volume=.

Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Biometrika , volume=

Reference 62

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source=arxiv_source observed=2026-08-03T16:12:15.812189Z digest=sha256:2fbaa3beaeef9da70fc95fda147796b25bf87903b333d277dc4ad4aec14010e0

Observation 55234c01-b4ff-4b05-a92c-87ffec85088d · outbound

This paper cites Biometrika , volume=.

Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Biometrika , volume=

Reference 63

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source=arxiv_source observed=2026-08-03T16:12:15.954744Z digest=sha256:03afd17686655ff325eb8c292cac846361a50aad705b472bf487007c0f8286af

Observation 53ca0044-b7de-49fc-a487-5535c15d259c · outbound

This paper cites Biometrika , volume=.

Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Biometrika , volume=

Reference 64

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source=arxiv_source observed=2026-08-03T16:12:16.124744Z digest=sha256:5f7029e3163fa31f6ef15319b791969807bca31e53d9b4321270c6510843464f

Observation 3a6aea42-b584-4d81-ba4b-1c7a1c3a8c9d · outbound

This paper cites an unresolved cited work.

Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Unresolved cited work

Reference 65

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source=arxiv_source observed=2026-08-03T16:12:16.214740Z digest=sha256:b58820c587d6a0c052a10d20a345544004b87d30f739139cea5ffac3877ce162

Observation 4489159a-4f37-44e8-bd13-e5bd2e560808 · outbound

This paper cites The American Statistician , volume=.

Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects The American Statistician , volume=

Reference 66

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source=arxiv_source observed=2026-08-03T16:12:16.394825Z digest=sha256:ea0ff75b1c07e94ec73a14cff6ee826728cdc2a149a6d6fd49b92b8f4f70059f

Observation cf590dec-4784-406a-9459-f4bab40289af · outbound

This paper cites Biometrika , volume=.

Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Biometrika , volume=

Reference 67

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source=arxiv_source observed=2026-08-03T16:12:16.515129Z digest=sha256:ac8234df9c31ff496a2f28494db30cd78c4bc0513e83bcab237a1bfc7bc55cfa

Observation 06b4b1f3-eb4e-442c-b37c-3b1f4d35064e · outbound

This paper cites Biometrical Journal , volume=.

Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Biometrical Journal , volume=

Reference 68

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source=arxiv_source observed=2026-08-03T16:12:16.684821Z digest=sha256:0cfb06efa26b46677f03af18ad567cba5cc3eb08dde4c70d2523a128cd867335

Observation 9a4653c5-6926-4f4b-a0d0-3e8d85163942 · outbound

This paper cites Science Advances , volume=.

Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Science Advances , volume=

Reference 69

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source=arxiv_source observed=2026-08-03T16:12:16.865074Z digest=sha256:60de791b0b55d8415e0faa6114a08329cb4c5c101a0959b44410d20a8fd8b4f4

Observation 023c096a-1cf1-4658-b7ad-1119dc6809dd · outbound

This paper cites Probability measures , booktitle =.

Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Probability measures , booktitle =

Reference 70

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source=arxiv_source observed=2026-08-03T16:12:17.074806Z digest=sha256:2275519727018b2dc0354800ea643cf2b2da40b2665bc36b0331a548de06fe0a

Observation a0fcc4e1-5271-4872-b241-fff7c5472066 · outbound

This paper cites an unresolved cited work.

Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Unresolved cited work

Reference 71

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source=arxiv_source observed=2026-08-03T16:12:17.254815Z digest=sha256:6cb87a9ff23e62df877d469fb87db7aa5ca7950d2673906f31d399a07a5a08b2

Observation 8a7a9de5-0d0a-49d5-a35d-178f74cd7a10 · outbound

This paper cites arXiv preprint arXiv:2509.13685 , year=.

Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects arXiv preprint arXiv:2509.13685 , year=

Reference 72

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source=arxiv_source observed=2026-08-03T16:12:17.344746Z digest=sha256:1ffa4976b765badb1166e11d26040cbe4c71266130e430ea777c3578299cceb8

Observation 851ca2c2-92e5-4cf9-81c2-8c07f9ba658a · outbound

This paper cites an unresolved cited work.

Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Unresolved cited work

Reference 73

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source=arxiv_source observed=2026-08-03T16:12:17.614743Z digest=sha256:4e962aa9e97abaa29a92900ad5673b348d9e406618d1f98212435fd05919eb99

Observation afce7e79-13e8-4df0-bc0c-c916d536fb65 · outbound

This paper cites Bernoulli , volume=.

Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Bernoulli , volume=

Reference 74

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source=arxiv_source observed=2026-08-03T16:12:17.714998Z digest=sha256:5f3787765f295cbdeb96bc33d89754cd29d71132d9dfbba4d34acc222615b8b6

Observation 7caf57ab-eff1-444b-94f4-6179d1fd47e1 · outbound

This paper cites Statistica Sinica, in press , year=.

Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Statistica Sinica, in press , year=

Reference 75

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source=arxiv_source observed=2026-08-03T16:12:17.924743Z digest=sha256:df27c185d3eae3b65f4c375f66c2d904c6f38622d07c96fa39470e752e5f753d

Observation 7b624507-8b2b-468a-8af3-bc72d6b05519 · outbound

This paper cites arXiv preprint arXiv:2603.29058 , year=.

Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects arXiv preprint arXiv:2603.29058 , year=

Reference 76

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source=arxiv_source observed=2026-08-03T16:12:18.124742Z digest=sha256:14a7691f499fac0e10da84ac951049d5a2bec989a3f023c651017bdfd8a3fc21

Observation 473e64a4-1226-487f-9385-f02169553520 · outbound

This paper cites Journal of the Royal Statistical Society Series B , pages=.

Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Journal of the Royal Statistical Society Series B , pages=

Reference 77

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source=arxiv_source observed=2026-08-03T16:12:18.214875Z digest=sha256:3f4bba4a38805ba6972a607efff746a9df0bf2ff3bc4076f0c28ee7ff467fa40

Observation 338c63c6-13f2-4c0c-a46f-cee87b59b857 · outbound

This paper cites an unresolved cited work.

Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Unresolved cited work

Reference 78

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source=arxiv_source observed=2026-08-03T16:12:18.284769Z digest=sha256:0a531c600bf64a0ba26a298c95c170bd9b95a74b059ef9f2ceb5ae05ea67e817

Observation 649690ce-8b0a-48d6-8281-46fc257cdbd4 · outbound

This paper cites Linear algebra and its applications , volume=.

Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects Linear algebra and its applications , volume=

Reference 79

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source=arxiv_source observed=2026-08-03T16:12:18.326571Z digest=sha256:28e480c9d781bc79aec324f64a026fc1d64ffbd64355d85aa11b317362729274

Observation 76485cb4-bfee-4ac0-8f84-5bded4330ec5 · outbound

This paper cites , title =.

Distance Profile Embedding for Independence and Conditional Independence Testing of Random Objects , title =

Reference 80

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source=arxiv_source observed=2026-08-03T16:12:18.504740Z digest=sha256:1586fb15c22d5d72c8931c6cb5836b092eb77226def68daca04381426d4182dc

Pith citing papers

No inbound Pith citation observations are available.