Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T22:55:04.582406Z
Paper Citation Record · LEDGER
As of 14 August 2026, this Paper Citation Record lists 100 of 101 outbound references and 0 inbound Pith citation observations for arXiv:2501.00535.
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 2026-08-10T22:55:04.582406Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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
100 of 101 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation e72481a6-9e12-4498-841d-e6f5ca26c47c · outbound
Tensor Topic Modeling Via HOSVD Agarwal and B.-C
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b2cdf7ec-4f0f-4773-ba27-a842b035f944 · outbound
Tensor Topic Modeling Via HOSVD Unresolved cited work
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 689e44a4-ee3f-4a42-9352-16455d5b4868 · outbound
Tensor Topic Modeling Via HOSVD Anandkumar, R
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d39e8354-1315-4a3f-af5c-9e15a2e31f0c · outbound
Tensor Topic Modeling Via HOSVD Unresolved cited work
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1dda7730-aa4d-43fd-805a-058cd14d388b · outbound
Tensor Topic Modeling Via HOSVD Arora, R
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e77f591b-5609-4d29-aafa-2d68f2e06b3b · outbound
Tensor Topic Modeling Via HOSVD Bhaskara, M
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3298466e-f43f-4469-830c-45f7e675214f · outbound
Tensor Topic Modeling Via HOSVD Unresolved cited work
Reference 7
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fb6008d0-6936-48be-8d0a-a57ababcbd59 · outbound
Tensor Topic Modeling Via HOSVD Unresolved cited work
Reference 8
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4880cae1-7f36-4168-8703-79d17fdfd0df · outbound
Tensor Topic Modeling Via HOSVD Unresolved cited work
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 49f90656-af7c-4f10-8ca8-ed76ac19bb21 · outbound
Tensor Topic Modeling Via HOSVD Unresolved cited work
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2df3f335-4749-4939-a7f5-82e9b9be5f14 · outbound
Tensor Topic Modeling Via HOSVD Cha and J
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7c605d50-019e-491b-878b-0d4f57848156 · outbound
Tensor Topic Modeling Via HOSVD Unresolved cited work
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 87048b50-1a5e-4cf2-ba0d-a3c8633e6c31 · outbound
Tensor Topic Modeling Via HOSVD Unresolved cited work
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e7dd22d6-e810-44a7-bfa2-5ff59763d4c3 · outbound
Tensor Topic Modeling Via HOSVD Cichocki, R
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 67632cfd-7c0d-4011-a54d-64a00aac2e86 · outbound
Tensor Topic Modeling Via HOSVD Unresolved cited work
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fa520d05-236b-4b7d-a349-c6cf00c53fcc · outbound
Tensor Topic Modeling Via HOSVD Cutler and L
Reference 16
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3d39d630-fa88-4edf-acae-1c25285b1958 · outbound
Tensor Topic Modeling Via HOSVD De Lathauwer, B
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 514486da-3404-4c78-a80c-a68fa62d9436 · outbound
Tensor Topic Modeling Via HOSVD Dethlefsen and D
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6be37cba-d529-47e6-b9f0-eb316a78a011 · outbound
Tensor Topic Modeling Via HOSVD Multiscale Analysis of Count Data through Topic Alignment
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 597af09f-3e8d-4765-bb85-2909273c8a1d · outbound
Tensor Topic Modeling Via HOSVD Unresolved cited work
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 53161fb2-4225-4ed1-bfff-a9b27da42596 · outbound
Tensor Topic Modeling Via HOSVD Unresolved cited work
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4adf9f57-7560-4120-9939-fbadee584130 · outbound
Tensor Topic Modeling Via HOSVD Unresolved cited work
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fb5d8d5d-51a2-4e59-b6ec-d4fdace7d4cf · outbound
Tensor Topic Modeling Via HOSVD The AL$\ell_0$CORE Tensor Decomposition for Sparse Count Data
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 8df8dd16-6944-4628-a76c-0ca500fce6d7 · outbound
Tensor Topic Modeling Via HOSVD Unresolved cited work
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 52c03d4c-4e85-4b6a-b7d3-bb810c1ab2fc · outbound
Tensor Topic Modeling Via HOSVD Javadi and A
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 6a67178f-6afc-4959-bbf1-eb73cd90c050 · outbound
Tensor Topic Modeling Via HOSVD Unresolved cited work
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 0949355c-b2a7-4e0e-9d13-d8dfe5c67f19 · outbound
Tensor Topic Modeling Via HOSVD Mixed Membership Estimation for Social Networks
Reference 27
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d1ee3720-f59f-4526-a394-676ec2388bb6 · outbound
Tensor Topic Modeling Via HOSVD Unresolved cited work
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation e7641f65-a466-4841-962b-66229deca628 · outbound
Tensor Topic Modeling Via HOSVD Unresolved cited work
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation bd4346d6-69ff-4d29-a601-f10d8eb1ad5a · outbound
Tensor Topic Modeling Via HOSVD Kim and S
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 8f5ddcd9-dadc-45bc-a7ba-27579a18708c · outbound
Tensor Topic Modeling Via HOSVD Assigning Topics to Documents by Successive Projections
Reference 31
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0c8a28c0-37dd-4e19-8929-f8cd8baa9c0e · outbound
Tensor Topic Modeling Via HOSVD Unresolved cited work
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 972d8ef2-6163-44cf-90e7-ccf5f0caf846 · outbound
Tensor Topic Modeling Via HOSVD Lei and A
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 7be10850-83bd-4099-bff5-9985a9cd46ac · outbound
Tensor Topic Modeling Via HOSVD Unresolved cited work
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 7a172cba-2d54-492d-8f7c-af95600ec8e1 · outbound
Tensor Topic Modeling Via HOSVD Unresolved cited work
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation cf61eb81-9b99-465e-9686-79c73d9d0fcd · outbound
Tensor Topic Modeling Via HOSVD Unresolved cited work
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 674f95f3-dfc6-4afb-aa4d-44705f537b63 · outbound
Tensor Topic Modeling Via HOSVD Membership Inference Attacks and Privacy in Topic Modeling
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation c229e170-79b7-4526-aaba-f3e3c0cf7cde · outbound
Tensor Topic Modeling Via HOSVD Mørup and L
Reference 38
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 58810b28-5264-4709-9876-c9bf0a53afd2 · outbound
Tensor Topic Modeling Via HOSVD Movassagh, L
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 45b4439d-ed6c-4c86-91b9-ddd69d8abd71 · outbound
Tensor Topic Modeling Via HOSVD Unresolved cited work
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation c9e16c82-4835-4fe1-b447-9605a7a2e6f3 · outbound
Tensor Topic Modeling Via HOSVD Paatero and U
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 9b11004f-507b-400b-9e37-16ba1fa967c6 · outbound
Tensor Topic Modeling Via HOSVD Unresolved cited work
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 98a8ae80-7889-43f7-8788-9948693b6401 · outbound
Tensor Topic Modeling Via HOSVD Richard and A
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 8139b3a4-c62b-4934-8a76-5ea8f1c29538 · outbound
Tensor Topic Modeling Via HOSVD Unresolved cited work
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 0d1bb659-209c-48d3-8a68-261df368043b · outbound
Tensor Topic Modeling Via HOSVD Romeo, S
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 645e487e-618a-44aa-add7-03a01cc2459d · outbound
Tensor Topic Modeling Via HOSVD Romero, S
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 43978585-9374-468e-ac30-6a629f435084 · outbound
Tensor Topic Modeling Via HOSVD Sankaran and S
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 206fb56d-fcb3-4336-acc5-63dc5491d972 · outbound
Tensor Topic Modeling Via HOSVD Unresolved cited work
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 65ba4938-f176-46c7-856b-1d22193b3aff · outbound
Tensor Topic Modeling Via HOSVD Shalon, R
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation cc8d2a06-1c26-4fce-87b3-b6cbaa542647 · outbound
Tensor Topic Modeling Via HOSVD Sharma, A
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation c1d63111-8ef6-4ab2-bdb9-3478dd263aae · outbound
Tensor Topic Modeling Via HOSVD Symul, P
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation ea708f78-f953-45ee-9299-c3c2c06ea94d · outbound
Tensor Topic Modeling Via HOSVD Sparse topic modeling via spectral decomposition and thresholding
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 59b0d2aa-aa4f-45d4-991f-147a06fbcd72 · outbound
Tensor Topic Modeling Via HOSVD Unresolved cited work
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 8621a15a-a8e2-49a5-8a56-5a8bca57288c · outbound
Tensor Topic Modeling Via HOSVD Unresolved cited work
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation d245937d-325b-4fc6-b4b7-8190c6e879a4 · outbound
Tensor Topic Modeling Via HOSVD Vershynin
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 5f899797-160b-4ae7-8502-6899dbd17c97 · outbound
Tensor Topic Modeling Via HOSVD Unresolved cited work
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation a955e3f0-f267-41ff-9eec-8217feb08555 · outbound
Tensor Topic Modeling Via HOSVD Wu and M
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 3c05e69b-fce5-40cb-94e0-351984e93de9 · outbound
Tensor Topic Modeling Via HOSVD Xia and F
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation fedc35d7-b772-40ad-bc28-f60ad979810e · outbound
Tensor Topic Modeling Via HOSVD Integrating Document Clustering and Topic Modeling
Reference 59
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c6fe53c9-9c62-41dd-ab82-3336f6452ba1 · outbound
Tensor Topic Modeling Via HOSVD Unresolved cited work
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation b452746f-b9d2-4152-bdf3-afee4a6c8b7a · outbound
Tensor Topic Modeling Via HOSVD Unresolved cited work
Reference 61
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 340acaa4-af47-4d9a-9db5-00165a87749f · outbound
Tensor Topic Modeling Via HOSVD Zhang and R
Reference 62
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation a77aae7e-ec43-41a1-9c40-126ff937b8ea · outbound
Tensor Topic Modeling Via HOSVD Zhang and D
Reference 63
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation bab60661-f58e-49b9-93b7-e3db72bbebe1 · outbound
Tensor Topic Modeling Via HOSVD Zheng, W
Reference 64
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 29a5a20d-4b79-4b8a-a2e9-b1346872217a · outbound
Tensor Topic Modeling Via HOSVD Unresolved cited work
Reference 65
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 073b09bd-481f-4cd9-89c4-3e25540d2bac · outbound
Tensor Topic Modeling Via HOSVD Unresolved cited work
Reference 66
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 97311471-a339-4e5b-91dc-6e6c6ca25016 · outbound
Tensor Topic Modeling Via HOSVD Unresolved cited work
Reference 68
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 5681c31a-e823-4716-92f8-23155573acb9 · outbound
Tensor Topic Modeling Via HOSVD Unresolved cited work
Reference 69
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 8c847502-a865-4c7d-be7d-fbb656435a56 · outbound
Tensor Topic Modeling Via HOSVD Given the inherent structure of the problem, each one of the Tucker factor matrices A(1), A(2), A(3) belong to one of two matrix types
Reference 70
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 7b6ef847-f017-433a-b9ec-b7b260347195 · outbound
Tensor Topic Modeling Via HOSVD Unresolved cited work
Reference 71
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation c6fbff6f-cd83-469a-b3bc-3e3688f81160 · outbound
Tensor Topic Modeling Via HOSVD It is easy to see that | ˜Qijm| ⩽ 2
Reference 72
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 8ddf3dbe-bfdd-4695-b391-67701b7f4adc · outbound
Tensor Topic Modeling Via HOSVD Unresolved cited work
Reference 73
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation ea5c54f2-d7f6-4d1a-888a-7d1df1482159 · outbound
Tensor Topic Modeling Via HOSVD Unresolved cited work
Reference 74
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation edf3abc3-1062-40bc-bbe9-6b525cee0e12 · outbound
Tensor Topic Modeling Via HOSVD Unresolved cited work
Reference 75
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation de41f5c2-65f1-4219-b982-f563bb398471 · outbound
Tensor Topic Modeling Via HOSVD Then: 1 N (2) N (2),RX j,r=1 Zijr Zi′jr = 1 M 2N (2) N (2) X j MX m,m′=1 Qjmm′ = 1 M 2N (2) N (2) X j MX m Qjmm + 1 M 2N (2) N (2) X j MX m̸=m′ Qjmm′
Reference 76
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation f5256bd6-3082-4622-a8cb-8fad18e52c22 · outbound
Tensor Topic Modeling Via HOSVD Unresolved cited work
Reference 77
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 8482871e-bfad-470f-bef2-1dfd664c5548 · outbound
Tensor Topic Modeling Via HOSVD E[Qjmm′] = 0, Var[Qjmm′] ⩽ c
Reference 78
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 0742e3f1-8f2e-481a-9056-a61be7d39bd7 · outbound
Tensor Topic Modeling Via HOSVD By Lemma C.1, if fr ⩾ q log(NR) M N(1)N (2) , with high probability, 1 M N(1)N (2) X ijm Xijm(r)Xijm(r′) − E[⋆] ⩽ C∗ r fr′fr log(NR) M N(1)N (2)
Reference 79
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation dc0e64a8-9048-4690-933e-f715897fcd5c · outbound
Tensor Topic Modeling Via HOSVD Let ˜M = ⌊M/2⌋
Reference 80
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 8c33b69d-ea24-407f-a06b-3f3b2c0405e9 · outbound
Tensor Topic Modeling Via HOSVD Unresolved cited work
Reference 81
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 43f300af-b0b0-489c-ab24-89c83fb23efe · outbound
Tensor Topic Modeling Via HOSVD Unresolved cited work
Reference 82
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation dad7d2eb-a484-46bb-94aa-306a26bb2477 · outbound
Tensor Topic Modeling Via HOSVD ˜V⋆K are right eigenvectors of WW⊤A⊤A associated with eigenvalues λ2 k(these eigen- vectors are not necessarily orthogonal with each other)
Reference 83
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 8b1a699a-35fb-4673-bc51-2f342cccf2ee · outbound
Tensor Topic Modeling Via HOSVD Unresolved cited work
Reference 84
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation f5feb20b-47e7-4110-a278-a4a6b6d7fd12 · outbound
Tensor Topic Modeling Via HOSVD (31) Since: Ξ⊤Ξ = IK = Ξ⊤A ˜V = (Ξ⊤A) ˜V, we deduce that ˜V is unique and non singular, and that it is the inverse of Ξ⊤A
Reference 85
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 92b6dd8c-fdbf-4b91-b37d-87209be32a17 · outbound
Tensor Topic Modeling Via HOSVD Unresolved cited work
Reference 86
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 8675e1a4-196f-4785-91ce-58cb624c751b · outbound
Tensor Topic Modeling Via HOSVD Then, for any column ξk of the matrix Ξ, by definition: DDT ξk = λ2 kξk where by (31), ξk = A ˜V·k
Reference 87
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Observation 5fe98a1d-590d-49ab-84f7-c53a7b3ac7fb · outbound
Tensor Topic Modeling Via HOSVD Unresolved cited work
Reference 88
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Observation 17d84354-b8cd-4abc-aa03-3a58b8e24fa8 · outbound
Tensor Topic Modeling Via HOSVD Unresolved cited work
Reference 89
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Observation e7855aab-70f5-42fa-b4fa-7bcd2f9da29f · outbound
Tensor Topic Modeling Via HOSVD Unresolved cited work
Reference 90
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Observation 1289fba7-4111-4dca-821a-095e9e1ac9ed · outbound
Tensor Topic Modeling Via HOSVD Unresolved cited work
Reference 91
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Observation 5cfef2b0-e4b2-42dd-ba6f-e6888b541d19 · outbound
Tensor Topic Modeling Via HOSVD We have ∥Ξ(1) i⋆ ∥2 2 ⩽ ∥A(1) i⋆ ∥2 2σK(A(1))−2 ⩽ ∥A(1) i⋆ ∥1σK(A(1))−2 ⩽ 1/N(1)
Reference 92
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Observation 048735c7-e609-49f2-b69c-c9c326f1af69 · outbound
Tensor Topic Modeling Via HOSVD The first group only includes the leading eigenvector Ξ(3) ⋆1 as s = 1, k= 1, while the second group contains the left K − 1 eigenvectors as s = 2 and k = K(3) in lemma E.2
Reference 93
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Observation 58775c40-13cf-45bf-9cbe-b6787458bed9 · outbound
Tensor Topic Modeling Via HOSVD Unresolved cited work
Reference 94
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Tensor Topic Modeling Via HOSVD Unresolved cited work
Reference 95
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Observation 97757ba1-b040-4cae-9415-2e02213b5cbc · outbound
Tensor Topic Modeling Via HOSVD Therefore, we have the non-degeneracy of ˆV∗(a) by lemma G.1
Reference 96
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Tensor Topic Modeling Via HOSVD Unresolved cited work
Reference 97
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Observation 2f4499b9-a15d-4cfe-90c0-79ef984b9396 · outbound
Tensor Topic Modeling Via HOSVD By the assumption fr ⩾ q log NR N (1,2)M , Corollary F.0.1 gives that Π(3) ˆV∗(3)O(3) − V∗(3) F ≲ log NR N (1,2)M 1/4
Reference 98
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Observation cc51a8ea-83de-4983-b953-ce4391d64d6d · outbound
Tensor Topic Modeling Via HOSVD with O(3) = diag(±1, Ω∗)
Reference 99
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Observation cfd71991-12e4-4856-9cdf-98f70f8cd2bf · outbound
Tensor Topic Modeling Via HOSVD Matrix decomposition is inherently limited to two modes (e.g., customers at a given time and products), which fails to preserve the multidimensional relationships in the data
Reference 100
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Observation 4d7cb63e-9d1a-4d63-b310-d9b5bc91f812 · outbound
Tensor Topic Modeling Via HOSVD canned tomatoes 16 oz
Reference 101
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