Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-08T11:42:21.421924Z
Paper Citation Record · LEDGER
As of 16 August 2026, this Paper Citation Record lists 67 of 67 outbound references and 0 inbound Pith citation observations for arXiv:2502.07782.
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 2026-08-08T11:42:21.421924Z
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
67 of 67 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 9820bcd3-48d8-49ad-8964-7bb17fc24f5d · outbound
A Flag Decomposition for Hierarchical Datasets Gen- eralized Weiszfeld algorithms for lq optimization.IEEE Transactions on Pattern Analysis and Machine Intelligence, 37(4):728–745, 2014
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.
Observation a6265aa2-d834-43cb-9a53-0bd86412d43b · outbound
A Flag Decomposition for Hierarchical Datasets Bandos, Lorenzo Bruzzone, and Gustavo Camps- Valls
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 4f0b8121-5a6d-4989-ba84-841ad032e5bc · outbound
A Flag Decomposition for Hierarchical Datasets Block modified Gram–Schmidt algorithms and their analysis.SIAM Journal on Matrix Analysis and Applications, 40(4):1257–1290, 2019
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.
Observation 3ee5daa4-71cd-4f08-8b3f-26118c41bd80 · outbound
A Flag Decomposition for Hierarchical Datasets Weiszfeld’s method: Old and new results.Journal of Optimization Theory and Appli- cations, 164:1–40, 2015
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.
Observation 6876ffd7-c7af-48c4-8e58-ff21d1ce78df · outbound
A Flag Decomposition for Hierarchical Datasets Belhumeur, Joao P Hespanha, and David J
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 c15b1a85-09ff-4396-88e8-bc62b26edef3 · outbound
A Flag Decomposition for Hierarchical Datasets Numerical methods for computing angles between linear subspaces.Mathematics of computation, 27(123):579–594, 1973
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 89c4cb3b-34b2-41fa-a1c8-bd9d2dd1b151 · outbound
A Flag Decomposition for Hierarchical Datasets Introduction to hierarchical matrices with applications.En- gineering analysis with boundary elements, 27(5):405–422,
Reference 7
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 3f0d0dfe-ab29-4edd-b5cc-079459b3fcea · outbound
A Flag Decomposition for Hierarchical Datasets Manopt, a Matlab toolbox for optimization on manifolds.JMLR, 15(1):1455–1459, 2014
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 4d97c0a9-1c6d-445a-8b88-d4e5773f28af · outbound
A Flag Decomposition for Hierarchical Datasets Shape spaces of nonlinear flags
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 3a3cb21c-b88a-4ef9-ade2-495cac6ed5a5 · outbound
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 fd8878c7-8e81-4686-92f4-c239d2aae6dd · outbound
A Flag Decomposition for Hierarchical Datasets A flag representation for finite collec- tions of subspaces of mixed dimensions.Linear Algebra and its Applications, 451:15–32, 2014
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 d8238c0a-e0cc-43d2-9d1e-fe2ed96e59dc · outbound
A Flag Decomposition for Hierarchical Datasets The ge- ometry of algorithms with orthogonality constraints.SIAM Journal on Matrix Analysis and Applications, 20(2):303– 353, 1998
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 cd533446-a464-446d-bc03-235e9bbecaf1 · outbound
A Flag Decomposition for Hierarchical Datasets A review on the selection criteria for the truncated SVD in Data Science applications.Journal of Computational Mathematics and Data Science, 5, 2022
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 fe1a5f80-fb90-4a3e-b20f-d34db7257255 · outbound
A Flag Decomposition for Hierarchical Datasets The geometric median on riemannian manifolds with application to robust atlas estimation.NeuroImage, 45(1): S143–S152, 2009
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 e335ab07-cd70-44ee-a012-d7a3d215989e · outbound
A Flag Decomposition for Hierarchical Datasets Subspace averaging and order determina- tion for source enumeration.IEEE Transactions on Signal Processing, 67(11):3028–3041, 2019
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 691059ca-9912-46db-9db3-f9d1e87f0cd6 · outbound
A Flag Decomposition for Hierarchical Datasets 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 4d6959e6-9734-429d-993f-b38882606197 · outbound
A Flag Decomposition for Hierarchical Datasets A block Householder– based algorithm for the QR decomposition of hierarchical matrices.SIAM Journal on Matrix Analysis and Applica- tions, 45(2):847–874, 2024
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 bcdab1fc-7a77-4475-a1ab-d0838ea8d270 · outbound
A Flag Decomposition for Hierarchical Datasets Unresolved cited work
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 9e8b409a-f8ac-4c50-b602-e0c53907a66b · outbound
A Flag Decomposition for Hierarchical Datasets Stability analysis and improvement of the block Gram–Schmidt algorithm.SIAM journal on scientific and statistical computing, 12(5):1058– 1073, 1991
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 565cd1a9-ce36-4417-b78b-80d68c71928e · outbound
A Flag Decomposition for Hierarchical Datasets Learning multiple layers of features from tiny images.Technical report, 2009
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 1f514c48-8042-456b-8a57-3d3d37343e6f · outbound
A Flag Decomposition for Hierarchical Datasets Imagenet classification with deep convolutional neural net- works.Advances in neural information processing systems, 25, 2012
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 a6426fe0-a946-4435-9642-7b04e38a1133 · outbound
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 3fe5a1f0-819c-4d21-8351-f98d1dc0bcd2 · outbound
A Flag Decomposition for Hierarchical Datasets A scalable second order method for ill-conditioned matrix completion from few samples
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 e03840f7-38e9-4119-bb64-8e4ec6826683 · outbound
A Flag Decomposition for Hierarchical Datasets Iteratively reweighted least squares for basis pursuit with global linear convergence rate.Advances in Neural In- formation Processing Systems, 34:2873–2886, 2021
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 0da5c211-283f-4b1d-9c82-2a7a63e342d9 · outbound
A Flag Decomposition for Hierarchical Datasets Hierarchy, complexity, society
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 825636b4-f51d-4a77-80b3-5cc0e600b273 · outbound
A Flag Decomposition for Hierarchical Datasets Hypersdfusion: Bridging hierarchical structures in language and geometry for enhanced 3d text2shape genera- tion
Reference 26
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 0405fe7a-5068-4e9a-b574-0619b8f2e6d6 · outbound
A Flag Decomposition for Hierarchical Datasets Fast, robust and non-convex subspace recovery.Information and Inference: A Journal of the IMA, 7(2):277–336, 2018
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 214c33f3-17da-461a-94cb-f9cebb462bdb · outbound
A Flag Decomposition for Hierarchical Datasets An overview of robust sub- space recovery.Proceedings of the IEEE, 106(8), 2018
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 ca698e2e-0d22-42ae-b327-200bc867dc61 · outbound
A Flag Decomposition for Hierarchical Datasets Robust computation of linear models by convex re- laxation.Foundations of Computational Mathematics, 15: 363–410, 2015
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 47511b9c-1a0b-498d-a08e-97e5e60cc1a3 · outbound
A Flag Decomposition for Hierarchical Datasets Robust recovery of subspace structures by low-rank representation.IEEE transactions on pattern anal- ysis and machine intelligence, 35(1):171–184, 2012
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 c4a0333d-c6a9-47b1-9b14-48e2d4dca4b5 · outbound
A Flag Decomposition for Hierarchical Datasets Mouton, 1966
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 727d0075-f6d8-439b-b976-a12af277cbac · outbound
A Flag Decomposition for Hierarchical Datasets Self- organizing mappings on the flag manifold with applications to hyper-spectral image data analysis.Neural Computing and Applications, 34(1):39–49, 2022
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 be35b7d5-9d8f-4ed9-b593-3b4374da9272 · outbound
A Flag Decomposition for Hierarchical Datasets Chordal averaging on flag manifolds and its applications
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 b09dfbf0-f369-4239-b647-c93f15203e02 · outbound
A Flag Decomposition for Hierarchical Datasets The flag median and FlagIRLS
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 6a6c0194-3888-4bac-abef-9c286e9f017b · outbound
A Flag Decomposition for Hierarchical Datasets Module representatives for refining gene co-expression modules.Physical Biology, 20 (4):045001, 2023
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 04d3f657-3c8e-4f8a-b015-e6837767d3af · outbound
A Flag Decomposition for Hierarchical Datasets Fun with Flags: Robust principal directions via flag mani- folds
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 9fc990c9-064e-481b-9605-8d3a37a2b029 · outbound
A Flag Decomposition for Hierarchical Datasets PhD thesis, Colorado State University, 2023
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 1e5dbbc0-e4e7-4a58-af84-4ff0b137323c · outbound
A Flag Decomposition for Hierarchical Datasets Finding the subspace mean or median to fit your need
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 b578f5f7-b25b-48d0-bc75-5b2bb5aed988 · outbound
A Flag Decomposition for Hierarchical Datasets On a minimum enclosing ball of a collection of linear subspaces.Linear Algebra and its Applications, 625:248–278, 2021
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 fe948f21-21d9-4fac-8073-e5ab2c1bd6f1 · outbound
A Flag Decomposition for Hierarchical Datasets Automated flower classification over a large number of classes
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 f47b0c28-5b9d-4426-9091-813277671eda · outbound
A Flag Decomposition for Hierarchical Datasets Riemannian optimization method on generalized flag mani- folds for complex and subspace ICA
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 e9e239b0-a48a-4584-b72c-a839394237b2 · outbound
A Flag Decomposition for Hierarchical Datasets Riemannian optimization method on generalized flag man- ifolds for complex and subspace ICA
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 6d6fe2d4-c99b-46a1-aa9f-8d4076f290ef · outbound
A Flag Decomposition for Hierarchical Datasets Riemannian optimization method on the flag manifold for independent subspace analysis
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 1e9e57a7-ada8-4e94-b7b6-187ed4bf2dea · outbound
A Flag Decomposition for Hierarchical Datasets Flag manifolds for subspace ICA prob- lems
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 259f9d89-2fec-464b-911a-1a9412523ceb · outbound
A Flag Decomposition for Hierarchical Datasets Natural conjugate gradient on complex flag manifolds for complex independent subspace analysis
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 b9b42840-b930-458e-819e-d5227a131995 · outbound
A Flag Decomposition for Hierarchical Datasets Beyond low rank+ sparse: Multiscale low rank matrix decomposition.IEEE journal of selected topics in signal processing, 10(4), 2016
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 cd3077b8-753e-4197-956e-cc829acfce77 · outbound
A Flag Decomposition for Hierarchical Datasets Barycentric subspace analysis on manifolds
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 ee350675-9e19-45eb-916a-7bdd1a5df7e6 · outbound
A Flag Decomposition for Hierarchical Datasets Flag orbit codes and their expansion to Stiefel codes
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 1e166e07-991d-4af0-b86d-757db5d5e052 · outbound
A Flag Decomposition for Hierarchical Datasets Columbia University Press, 1985
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 e20284c5-de9c-43f4-bfea-954801fa5633 · outbound
A Flag Decomposition for Hierarchical Datasets Adaptive subspaces for few-shot learn- ing
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 054f06fd-7937-499a-892b-f9ecc030b075 · outbound
A Flag Decomposition for Hierarchical Datasets Prototypical networks for few-shot learning.Advances in neural informa- tion processing systems, 30, 2017
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 30342bc8-73d2-4d0f-83ff-7fcbd8265fba · outbound
A Flag Decomposition for Hierarchical Datasets Rethinking the Rieman- nian logarithm on flag manifolds as an orthogonal alignment problem
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 af7fd7de-1e51-4352-8a97-b59da91c4459 · outbound
A Flag Decomposition for Hierarchical Datasets The curse of isotropy: from principal components to principal subspaces, 2024
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 c0637cfb-24de-44c0-94d8-e00bae40723f · outbound
A Flag Decomposition for Hierarchical Datasets Nested subspace learning with flags, 2025
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 324e2524-ac25-450c-a4d7-8c7b3ea7f6a8 · outbound
A Flag Decomposition for Hierarchical Datasets Representing part-whole hierarchies in foundation models by learning localizability composability and decomposability from anatomy via self supervision
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 b76a961c-8abe-4723-b5e9-a85dc41cb592 · outbound
A Flag Decomposition for Hierarchical Datasets Pymanopt: A Python Toolbox for Optimization on Manifolds using Automatic Differentiation
Reference 56
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 396da05c-112e-4587-9486-b4a862b14ca8 · outbound
A Flag Decomposition for Hierarchical Datasets Dual principal component pursuit.Journal of Machine Learning Research, pages 1—- 50, 2018
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 f3564188-1713-4722-8288-1165a0f01865 · outbound
A Flag Decomposition for Hierarchical Datasets Fast, blind, and accurate: Tuning-free sparse re- gression with global linear convergence
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 b6956aac-306e-4a33-858d-f80f3f53c7f0 · outbound
A Flag Decomposition for Hierarchical Datasets Hd- cnn: hierarchical deep convolutional neural networks for large scale visual recognition
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 79ba8b24-b2e0-43c7-add1-0080a40ab274 · outbound
A Flag Decomposition for Hierarchical Datasets Optimiza- tion on flag manifolds.Mathematical Programming, 194(1): 621–660, 2022
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 450706b0-ffd7-47b7-a41b-5129a7ee407f · outbound
A Flag Decomposition for Hierarchical Datasets A novel m-estimator for ro- bust PCA.The Journal of Machine Learning Research, 15 (1):749–808, 2014
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 4fd345eb-b8cb-4dfa-8513-2a85bd07fbcd · outbound
A Flag Decomposition for Hierarchical Datasets By way of contradiction, assumeC j =0
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 53dc41b5-5c8f-4681-9f7a-dacfedc79ae2 · outbound
A Flag Decomposition for Hierarchical Datasets It suffices to show Q⊤ j Q:j−1 = [Q⊤ j Q1|Q⊤ j Q2| · · · |Q⊤ j Qj−1] =0(23) which is equivalent to showing[Q j]is orthogonal to [Q1,Q 2,
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 bb158827-1a3e-4858-b68b-b2fcc808f334 · outbound
A Flag Decomposition for Hierarchical Datasets Unresolved cited work
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 0e4281af-fb86-48c2-89a8-4f786cc8c9fb · outbound
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 08c8266a-4efe-42eb-868e-c388550b99a6 · outbound
A Flag Decomposition for Hierarchical Datasets By the induction hypothesis (5),Q i ∈ St(mi, n)fori= 1,2,
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 08876b78-3ba9-4f55-ab20-dcec33c0efe4 · outbound
A Flag Decomposition for Hierarchical Datasets Unresolved cited work
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.
No inbound Pith citation observations are available.