Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T23:55:25.468583Z
Paper Citation Record · LEDGER
As of 17 August 2026, this Paper Citation Record lists 71 of 71 outbound references and 0 inbound Pith citation observations for arXiv:2505.03862.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T23:55:25.468583Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
71 of 71 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 1e71f1ee-f90c-4801-abf2-92a294581f36 · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Unresolved cited work
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
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Categorical and geometric methods in statistical, manifold, and machine learning Aronszajn, Theory of reproducing kernels
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 08b4f50a-0c63-403d-90b6-f155b1c59b50 · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Arsigny, P
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
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Categorical and geometric methods in statistical, manifold, and machine learning Unresolved cited work
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
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Categorical and geometric methods in statistical, manifold, and machine learning Berner, P
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 5d9b0f8f-f2f9-44f4-a3f8-714dc364872e · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Bhatia, T
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation fd5ca639-c886-4d13-80bd-621373aeb058 · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Belkin, P
Reference 7
Source-reported events for the cited work
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Observation 44aa99d0-2f9f-4eb2-b480-d8a726919f6c · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Belkin and P
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 18a2d1e5-436b-4bc4-9039-2926614a044c · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Belkin and P
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 1e088840-5a58-430e-9252-c1bce2e87c10 · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Unresolved cited work
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 467d3234-34f2-426f-92f3-d431d976f163 · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Berlinet and C
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation f49178ac-219e-4632-b27f-d30654dac622 · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Bregman, The relaxation method of finding the commo n point of convex sets and its application to the solution of problems in conve x programming
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b98bf58a-c44d-4cc8-aced-37459a137d1a · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Burago, S
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 30d6aa69-d9cd-42e3-8fa5-736cbe2143d3 · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Chebbi and M
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 42d018d6-51be-44e2-97b3-a6bf58592cd3 · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Unresolved cited work
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 3322c346-d426-496d-899e-e0bc20a76a20 · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Unresolved cited work
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 0c75233d-f48c-4073-925f-6b54b7a21eaf · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Cucker and S
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b8f63385-4a9b-4590-9b38-7dd33ce25391 · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Dodziuk, Finite-Difference Approach to the Hodge The ory of Harmonic Forms, Amer
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 8e6d7125-1797-4765-ae0a-9b14615cc959 · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Dodziuk, V
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d34f8227-6400-4464-aed7-870b7449c6f2 · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Gordon, D
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b85148ba-3f0d-405d-887a-bf7d214f1b59 · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Unresolved cited work
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 8434797b-4663-44a5-a821-7f966df5a9eb · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Faraut, and A
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 3a81058d-d127-4f4d-9535-e4efe2631675 · outbound
Categorical and geometric methods in statistical, manifold, and machine learning I: The geometric Whitney problem, Foundations of Computational M athematics, 20 (5) (2020), p
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation dbf9482d-282c-4bb9-8807-ebb4f70eb5f3 · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Recon- struction of a Riemannian manifold from noisy intrinsic dis tances
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 7ed55de0-f7ab-4482-8858-6763c39e3b6d · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Feragen, F
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 5e9065f6-6c5d-4c91-86f4-a75ace407f9f · outbound
Categorical and geometric methods in statistical, manifold, and machine learning A synthetic approach to Markov kernels, conditional independence and theorems on sufficient statistics
Reference 26
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 024b0b40-1a0d-4926-8526-890eb905303c · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Giry, A categorical approach to probability theory, In: B
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 7d37897d-46db-4272-958c-6f0dc9bcabb6 · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Grenander and M
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6d3331d5-7360-46b7-9c4d-505cfbeb7807 · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Hastie, R
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 8a4d2656-05b0-4ae4-91da-0ca8631a01de · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Jayasumana, R
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 8ce1befd-628a-44f8-bba3-090c44a0d028 · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Joharinad and J
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 06b1e4b1-12e0-47af-bb56-738cb6bcea59 · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Unresolved cited work
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation a9dbb67b-ec88-4cea-8982-6a440d6af0f3 · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Kadison and J.R
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 0e3f2b71-bd88-4dc7-89b5-3aa79d1841b1 · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Lang, Fundamentals of Differential Geometry
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c42c3d87-0684-4eda-9b69-81ba691c3cbb · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Larotonda
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 625eeffa-6b74-4c33-a830-3f6125554302 · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Unresolved cited work
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 8d9a9d74-4250-45ac-ab87-fec2d5cac311 · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Supervised learning with probabilistic morphisms and kernel mean embeddings
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d35b1098-f2ae-47ac-b47f-68681487cacc · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Lˆ e, Probabilistic morphisms and Bayesian superv ised learning, Math
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d5ff1745-7ece-4e38-9f9e-cf12064a4e8b · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Fragoso and P
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 9257740d-7752-48fc-b23e-99e4ed1613b9 · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Unresolved cited work
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e8090c37-9b59-4b84-b4f1-fdf060fc73b9 · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Unresolved cited work
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 032db5f0-8f2a-4eb9-bf76-1039cbefc033 · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Lopez-Paz, K
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 3f002699-def7-45bf-97fd-e71d48522a50 · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Malag` o, L., L
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 51c23536-236b-46f9-9deb-c99d58270f74 · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Mathai, S.B
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 80f6872d-3e77-49d9-ba1d-d31ef3829d09 · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Unresolved cited work
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation f10470fa-1b02-47ae-b5b2-8acaa0bbca50 · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Minh and V
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 7b0814a8-b434-472c-a15c-dc669de0bb4f · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Mohri, A
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 4d636e61-c307-4cd3-8e2f-cbd73a0e7f5b · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Morse, and R
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 7898b5ab-ecee-4607-b596-dcf9846eaa63 · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Unresolved cited work
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 9f9aa280-6f02-46a9-9a8b-76a3c31b0287 · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Nash, The imbedding problem for Riemannian manifold s, Ann
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d2174142-8ca8-4ab2-96e2-13e06845f3f6 · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Unresolved cited work
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 127a0415-86f9-43b3-998c-bb3174fdf934 · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Petryshyn, Direct and iterative methods for the so lution of linear operator equations in Hilbert spaces
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 2c026cba-6163-4de2-babc-85d169e1fe34 · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Schoenberg
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation a2758018-71a8-4bb7-8fc3-d61ddc58051c · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Unresolved cited work
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 1c5cb066-7b16-409f-be74-444e4b3489a5 · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Unresolved cited work
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e6d6376a-62ac-48ad-9303-4b841298f4fa · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Unresolved cited work
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation a571f808-233c-4a3b-a3d3-d6566d15b539 · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Sriperumbudur, On the optimal estimation of probabi lity measures in weak and strong topologies
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 954c9797-1213-49e9-b614-59416246a81f · outbound
Categorical and geometric methods in statistical, manifold, and machine learning disorder
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 5119f418-85e4-4aee-813a-b6c723fed0e1 · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Steinwart and A
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 76303a73-cce3-4900-b001-906e2836eb8b · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Takatsu, Wasserstein geometry of Gaussian measures
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 9c4561f7-5db2-44c1-8480-0df6ae4bf91a · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Theodoridis, Machine Learning, a Bayesian and Optim ization Perspective
Reference 61
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 8a11abd9-5dd8-4a03-8335-cbcbde7a21a8 · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Unresolved cited work
Reference 62
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 1d039c23-ae2e-4ac1-bad6-18d15d8cfa61 · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Unresolved cited work
Reference 63
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 93cf5e7b-b3ef-48ae-8d35-d4eec05cc85f · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Vapnik, Statistical Learning Theory
Reference 64
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation f4087314-4dbc-4f48-98fc-eafbaf07deff · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Vapnik, The Nature of Statistical Learning Theory, S pringer, 2nd Edition, 2000
Reference 65
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6ddc5d42-42ac-46b9-b60e-2f5bb525153f · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Vapnik and R
Reference 66
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 35eb9454-bad0-44f9-9dab-0ef0dddbdfcb · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Vapnik and R
Reference 67
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 337e50a5-6c6a-436c-ac71-98be37c88fcf · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Vapnik and A
Reference 68
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c928315d-6efe-4133-a363-db8b089fd3d7 · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Wald, Statistical Decision Functions
Reference 69
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation bd10cc5d-9094-4035-aa6f-71f7168b59d3 · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Unresolved cited work
Reference 70
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 688bc4c0-3a40-44d7-b6b4-6108ffcb19f0 · outbound
Categorical and geometric methods in statistical, manifold, and machine learning Unresolved cited work
Reference 71
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
No inbound Pith citation observations are available.