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Paper Citation Record · LEDGER

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

As of 4 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 2026-08-04T06:34:03.388597+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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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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This paper cites Journal of Nonparametric Statistics , volume=.

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=

Reference 16

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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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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 =

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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 =

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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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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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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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This paper cites 2013 , publisher=.

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

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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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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=

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source=arxiv_source observed=2026-08-03T16:12:13.434790Z digest=sha256:3ee2886f626b19026dc4026079a68206f833555f6afede9c3a98cb48391bbec6

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:fcbc1455c15a60d416ee1969f2e926ff86a88862744c25c9ed6a88cea34d8324

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:ae5a05822b55ef973c596dda10dbd073858d379886c889cf9432627222199bfc

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=sha256:8d8b6ee56f5f5ab8a8f7492c753c8b0c24019957f1efb9b8c58a288703c36f0e

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:d609add90b84a323687d43cb781e1911903896e124844f2abb158e360acd7b60

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=sha256:4540699754a3b10facfd6a5164c4642ac57e36e5e416bc6371a0661c632292e9

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=sha256:35ec49150af226ddc85dbf252bc801a8521b33dc59bce7e28ad31d76975670a5

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=sha256:5bcb39d01796d639a32293ade1f6175f5785b796e40f746acf8a5c94340dac8c

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:daeec5d1fda7abd5b0b7a6808aefcb559b480e01af652cc548dddcb34263c563

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:c025b19d972ef9fddb2d9355ada0d534326e76b37747327d1082d90d4edb4a52

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=sha256:4cb614318ee8a7802065176e42168e933279947de6a6df45fe4bd1302f8e9c89

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=sha256:05622f172cea29d3206f8acb44d5bae66c5ae2a68d06013e8a9a32220cb07fa2

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:f21f759e85809b0001c01e4c9bd0b044bb7a115f1ac845c9ee652a37b8761680

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=sha256:2efb436db934c0e6dff4da99ff685952ace9df96200e114b24e550a4b1db346f

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:e23f5de567a5ab9cd190114c1dab77f9386ba85a6a8ce9570fbf895a85362a9e

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:e513579c55c47fe099a5129609718add9f6b26d8853b0fc44f0548f480bc59e9

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=sha256:8105d8a9153d654af78e31da2d79b4051aad01219d9dd1eaa58b8a61c96020e3

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:d42c38020f3ecfb6e34be5bd07eede875941c85a9611fa11b06a0e93a7d3685b

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=sha256:8c0049e6839f0cc841d6bf26a23fd4ddf2e5da428702141ea5214c6448294098

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=sha256:3164943b27452c67204822c084deeb4ac9d042f37d8d32ef1d5a7db2188dc44d

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:c1bbb89e3e7cffb1a551f86ffb3a64a5544fd2d471ae69d0b49b9d6ad481ac14

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:d6dd184f73b1c52a24bb27a9aad21fb31d2d7d362f40392a15173308816a8bbc

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=sha256:9f9b179de71b3dd1a6ba593e4324ad66dd3b5895706fe5f2ab892f31f9e174a3

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=sha256:6f47e3d9dea094b63fda62c17d3006fe9d2af7df303ae0549f135e680a00af84

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=sha256:4097396a80e93b21d8742a87e165a4045fa864248584b5763beae7103847775c

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:f1ec7a2e08d94a849768d5e551a7690f6a2a42d86278fce72cc47e049a3c3385

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=sha256:95634c3e35d8c8603c6c29e1c695ca049230dd00bbddfbbe6953d0b75b3e7cdb

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=sha256:57fb5080acb3c7bfcc8a7bc77f1a19a41bd80a9d2926f4d16a608a5f6cf106ab

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=sha256:26af6a5d006cee9f329831dfc4ca51ac8b1b56888c566ff4174bec1d6630a214

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=

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source=arxiv_source observed=2026-08-03T16:12:17.344746Z digest=sha256:de3b61b0b0a0e8102013bbe8dc666a24f945b8956ec3676dc91c63a0ef5b4e7b

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=sha256:339a2dad7870d66553747fd8d1537cb9fbef951db9095665c19f68b14923bf88

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=sha256:3ddfb1eecb41084f5190c9bdd66d398f2d33eb76290b1ce4801867d4062d7c59

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:fd68893326ad7d022be7ca0af60125cbc348354ca54a81e8f9aad2685d69f1e2

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=

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source=arxiv_source observed=2026-08-03T16:12:18.124742Z digest=sha256:948cee33e1cebe04974a70130f40c59ac9af6fca5ac3875b2c88443fe9063b1e

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=sha256:122cd946b286fe34b773abf612a8d6e838214573a89d0a262ef5962cd459cfed

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:f9cbfe56135b9609a9bce5657f5d771bc3c591333725d3b98aa1b5ea2ce3adac

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=sha256:64b461b60f23fef882ebb02063c0c87894e703e21c43e4449427dae8fb9ee1e9

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

This paper cites , title =.

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

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source=arxiv_source observed=2026-08-03T16:12:18.504740Z digest=sha256:1d4be745766652c09fd26866174eea382684e0debec9a0153274dc02378283da

Pith citing papers

No inbound Pith citation observations are available.