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Paper Citation Record · LEDGER

Regularized second-order optimization of tensor-network Born machines

As of 13 August 2026, this Paper Citation Record lists 54 of 54 outbound references and 3 inbound Pith citation observations for arXiv:2501.18691.

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

pith.paper-citation-record.v1
2501.18691 v2

Coverage vector

measured 54 of 54 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T22:54:26.864444Z

measured 57 of 57 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-09T22:54:26.672358Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-13T01:57:04.859739Z

Reference resolution

54 of 54 outbound references displayed

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  • verified fuzzy21
  • unresolved33
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 45eb93ab-a155-4c1d-abcd-bf07db0c90e8 · outbound

This paper cites Goodfellow, J.

Regularized second-order optimization of tensor-network Born machines Goodfellow, J

Reference 1

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Observation f88b298a-3d2c-42c3-85e6-cb0a60f54d64 · outbound

This paper cites an unresolved cited work.

Regularized second-order optimization of tensor-network Born machines Unresolved cited work

Reference 2

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Observation e562158a-8198-450a-9c4a-c25fa1620f7d · outbound

This paper cites Regularized second-order optimization of tensor-network Born machines.

Regularized second-order optimization of tensor-network Born machines Regularized second-order optimization of tensor-network Born machines

Reference 3

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Observation 53a7f491-78d7-43a9-b2ec-c8ee4e45c115 · outbound

This paper cites an unresolved cited work.

Regularized second-order optimization of tensor-network Born machines Unresolved cited work

Reference 4

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Observation a0a93d74-75db-4537-b422-f3b7a8d95f31 · outbound

This paper cites an unresolved cited work.

Regularized second-order optimization of tensor-network Born machines Unresolved cited work

Reference 5

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation b33f14ef-38dc-48a5-8549-718550ed81a6 · outbound

This paper cites Vaswani, N.

Regularized second-order optimization of tensor-network Born machines Vaswani, N

Reference 6

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Observation e7654bb6-9cd7-4a5b-849e-8a2b8c56295e · outbound

This paper cites Salakhutdinov and G.

Regularized second-order optimization of tensor-network Born machines Salakhutdinov and G

Reference 7

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Observation 808a9503-21f7-49a1-ab66-cd7acc6330d7 · outbound

This paper cites an unresolved cited work.

Regularized second-order optimization of tensor-network Born machines Unresolved cited work

Reference 8

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Observation a95da86a-5136-44ec-8269-4473055fc0d7 · outbound

This paper cites an unresolved cited work.

Regularized second-order optimization of tensor-network Born machines Unresolved cited work

Reference 9

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Observation 4dc7dbe2-b5fd-483a-bb60-0e41b20f70c9 · outbound

This paper cites an unresolved cited work.

Regularized second-order optimization of tensor-network Born machines Unresolved cited work

Reference 10

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Observation 261df4c4-6bf2-43f8-8a82-bda6966186b3 · outbound

This paper cites an unresolved cited work.

Regularized second-order optimization of tensor-network Born machines Unresolved cited work

Reference 11

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Observation 25cef78b-435e-484e-837b-5646c87841be · outbound

This paper cites an unresolved cited work.

Regularized second-order optimization of tensor-network Born machines Unresolved cited work

Reference 12

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Observation c3d441ee-e356-418c-8ecd-e7299ce76784 · outbound

This paper cites Cheng, L.

Regularized second-order optimization of tensor-network Born machines Cheng, L

Reference 13

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Observation 45aeff87-5e34-4422-ad22-02c91bbb83d2 · outbound

This paper cites Verstraete, V.

Regularized second-order optimization of tensor-network Born machines Verstraete, V

Reference 14

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Observation 61826fef-85a7-4d2b-b56a-3f3c4fa2a7b1 · outbound

This paper cites Cheng, L.

Regularized second-order optimization of tensor-network Born machines Cheng, L

Reference 15

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Observation 53238448-7b5c-42ee-a429-309f3bc827e8 · outbound

This paper cites Montangero, E.

Regularized second-order optimization of tensor-network Born machines Montangero, E

Reference 16

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 68f7bd87-8f8d-4232-9586-b5eeb03a03b8 · outbound

This paper cites Or´ us, A practical introduction to tensor networks: Matrix product states and projected entangled pair states, Annals of physics 349, 117 (2014).

Regularized second-order optimization of tensor-network Born machines Or´ us, A practical introduction to tensor networks: Matrix product states and projected entangled pair states, Annals of physics 349, 117 (2014)

Reference 17

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Observation 4ad63f99-8b9c-4af5-a50e-eba81baf191e · outbound

This paper cites an unresolved cited work.

Regularized second-order optimization of tensor-network Born machines Unresolved cited work

Reference 18

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Observation a11eed21-3223-4e28-b178-8456caa54731 · outbound

This paper cites an unresolved cited work.

Regularized second-order optimization of tensor-network Born machines Unresolved cited work

Reference 19

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Observation 5d82ec9c-f2ce-4823-abc4-a1988f0a60aa · outbound

This paper cites an unresolved cited work.

Regularized second-order optimization of tensor-network Born machines Unresolved cited work

Reference 20

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Observation 54fc4876-390e-4f1c-91dc-55d038c7488d · outbound

This paper cites Generalization and Overfitting in Matrix Product State Machine Learning Architectures.

Regularized second-order optimization of tensor-network Born machines Generalization and Overfitting in Matrix Product State Machine Learning Architectures

Reference 21

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Observation 6c91d4d7-eb99-4fe4-a018-9714bc11ab64 · outbound

This paper cites LeCun, C.

Regularized second-order optimization of tensor-network Born machines LeCun, C

Reference 22

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 822b37a0-cc11-4426-85c2-2b7debb706a8 · outbound

This paper cites Schollw¨ ock, The density-matrix renormalization group in the age of matrix product states, Annals of physics 326, 96 (2011).

Regularized second-order optimization of tensor-network Born machines Schollw¨ ock, The density-matrix renormalization group in the age of matrix product states, Annals of physics 326, 96 (2011)

Reference 23

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Observation 49c1fdc9-4bcd-4343-a0fa-e3a6f879f94a · outbound

This paper cites Penrose, Applications of negative dimensional tensors, Combinatorial mathematics and its applications 1, 221 (1971).

Regularized second-order optimization of tensor-network Born machines Penrose, Applications of negative dimensional tensors, Combinatorial mathematics and its applications 1, 221 (1971)

Reference 24

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Observation 2cecd8d7-cd53-4c8f-a829-0d8cc6e3eef3 · outbound

This paper cites an unresolved cited work.

Regularized second-order optimization of tensor-network Born machines Unresolved cited work

Reference 25

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Observation 188dd58e-9c07-470a-a716-142c24c4a247 · outbound

This paper cites an unresolved cited work.

Regularized second-order optimization of tensor-network Born machines Unresolved cited work

Reference 26

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Observation adf95bcf-037a-4e96-97cd-17aa7da3bfcd · outbound

This paper cites Schuch, D.

Regularized second-order optimization of tensor-network Born machines Schuch, D

Reference 27

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Observation f444b7de-e983-477f-a45c-9f3452aef159 · outbound

This paper cites Catarina and B.

Regularized second-order optimization of tensor-network Born machines Catarina and B

Reference 28

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Observation 1a4f201f-9a2b-480d-84df-83d0c24b6136 · outbound

This paper cites an unresolved cited work.

Regularized second-order optimization of tensor-network Born machines Unresolved cited work

Reference 29

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Observation 208f5bad-eb04-4c12-9e0f-08d15c9bdd42 · outbound

This paper cites Lubasch, J.

Regularized second-order optimization of tensor-network Born machines Lubasch, J

Reference 30

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation ea8b39d2-005e-4f12-99e4-6ec3b04a0d45 · outbound

This paper cites Absil, R.

Regularized second-order optimization of tensor-network Born machines Absil, R

Reference 31

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Observation 498d14e7-865f-45d9-b4ed-bf506cc7d455 · outbound

This paper cites Liao, J.-G.

Regularized second-order optimization of tensor-network Born machines Liao, J.-G

Reference 32

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Observation cd52da41-ce48-4941-a810-9c6f50f46db7 · outbound

This paper cites Lubasch, P.

Regularized second-order optimization of tensor-network Born machines Lubasch, P

Reference 33

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Observation b2fe6117-e798-43b7-b0cc-b7e425bed439 · outbound

This paper cites an unresolved cited work.

Regularized second-order optimization of tensor-network Born machines Unresolved cited work

Reference 34

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 7cc50e4b-6d77-4844-8e6d-62ab8a17da67 · outbound

This paper cites Boumal, An introduction to optimization on smooth manifolds (Cambridge University Press, 2023).

Regularized second-order optimization of tensor-network Born machines Boumal, An introduction to optimization on smooth manifolds (Cambridge University Press, 2023)

Reference 35

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Observation cb88a0ce-b64b-48a7-91e1-b70072804d24 · outbound

This paper cites Yuan, A review of trust region algorithms for opti- mization, in Iciam, Vol.

Regularized second-order optimization of tensor-network Born machines Yuan, A review of trust region algorithms for opti- mization, in Iciam, Vol

Reference 36

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 04546c2f-1e3f-48e2-96cf-1db4439400d9 · outbound

This paper cites an unresolved cited work.

Regularized second-order optimization of tensor-network Born machines Unresolved cited work

Reference 37

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation ac0a774a-3396-42b0-aeb2-5261264ab91a · outbound

This paper cites bars” (columns), or “stripes.

Regularized second-order optimization of tensor-network Born machines bars” (columns), or “stripes

Reference 38

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verified fuzzy
raw_fallback, observed 2026-08-09T22:54:27.445583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T22:54:26.677728Z digest=sha256:b35dedf2d424268e7be57a41d17e7c1fc0229d9bb8b128cf16b90b61e029e660

Observation 6bc8a344-25b0-4122-86d1-6ab005f44033 · outbound

This paper cites Adachi, S.

Regularized second-order optimization of tensor-network Born machines Adachi, S

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T22:54:27.100635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 0b14c728-c6d2-4884-a309-23a5f50a05f6 · outbound

This paper cites an unresolved cited work.

Regularized second-order optimization of tensor-network Born machines Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-08-09T22:54:27.088737Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T22:54:26.815613Z digest=sha256:b70329b8b5f5fe971b7e2b04860c7550de94356bb0c2db95e622745d2fccd232

Observation fd13cf35-29b0-41b6-aaff-1c2215f059cb · outbound

This paper cites an unresolved cited work.

Regularized second-order optimization of tensor-network Born machines Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-08-09T22:54:27.077546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T22:54:26.819710Z digest=sha256:0db592a6e4bdb5cdedc8c6979dfaeb13b8f1e8a196efc0c52afb795b06c2b5b0

Observation 7a9a6675-e5be-4a95-8bb0-4fcae5c7edb4 · outbound

This paper cites an unresolved cited work.

Regularized second-order optimization of tensor-network Born machines Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-09T22:54:27.066479Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T22:54:26.823200Z digest=sha256:27c081fb71f63f5b905be5f5a733d237dec0afdb721b237e9cba177be6e6d059

Observation 7949b6e4-caef-4303-bdb2-b6aa6da6c862 · outbound

This paper cites Meiburg, J.

Regularized second-order optimization of tensor-network Born machines Meiburg, J

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T22:54:27.054308Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T22:54:26.826536Z digest=sha256:69fd6fa603901c384e8e961de41bd32cbab2066dc195526f0ab3547c10eff719

Observation ae401274-3ffb-4ec4-b7ac-22570637c220 · outbound

This paper cites Renormalization algorithms for Quantum-Many Body Systems in two and higher dimensions.

Regularized second-order optimization of tensor-network Born machines Renormalization algorithms for Quantum-Many Body Systems in two and higher dimensions

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-09T22:54:26.830243Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T22:54:26.830243Z digest=sha256:22b0ee95a0a07fe9bd55a3483bd145718113398fa6cbfef00a94db58228010f4

Observation 0b97c886-b564-4515-a583-1d7859d81c02 · outbound

This paper cites Vidal, Entanglement renormalization, Physical review letters 99, 220405 (2007).

Regularized second-order optimization of tensor-network Born machines Vidal, Entanglement renormalization, Physical review letters 99, 220405 (2007)

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T22:54:27.042630Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T22:54:26.834306Z digest=sha256:2f25d902cba6e752ccd3e69f2e9774e31ea8f988f59ded31878134edae85dd87

Observation 8a38a5ba-6ca5-46ac-afdd-3c04771295a8 · outbound

This paper cites Evenbly and G.

Regularized second-order optimization of tensor-network Born machines Evenbly and G

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T22:54:27.030878Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T22:54:26.838661Z digest=sha256:c0d15c2d14ed7c05e28fb761d9f2829e15272c5c0f1a2b95e1314c033219ee95

Observation 874c1845-73e4-487e-85e1-74084eab0b75 · outbound

This paper cites an unresolved cited work.

Regularized second-order optimization of tensor-network Born machines Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-09T22:54:27.019503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T22:54:26.841915Z digest=sha256:65edd8c1ac3d9ad436136e073f81e14e86ec8c34872c9e7248d25b97967734f5

Observation 7eadc216-d7b8-4542-b21a-2b94ab13e218 · outbound

This paper cites an unresolved cited work.

Regularized second-order optimization of tensor-network Born machines Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-08-09T22:54:27.007435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T22:54:26.845203Z digest=sha256:902f95b15ddfe24427017e46a80646ba16fa089f8e6facccb850b3a55a82e354

Observation ceaf9f19-e0c0-41fb-bb89-f30be4a74b2f · outbound

This paper cites an unresolved cited work.

Regularized second-order optimization of tensor-network Born machines Unresolved cited work

Reference 49

Resolution
unresolved
raw_fallback, observed 2026-08-09T22:54:26.993986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T22:54:26.848172Z digest=sha256:c724a30d773788621f357554e65af0dce96fdbe6a9da21875be964b553e63a7b

Observation 27dfd851-731e-46f0-bbe4-be27bb9cc250 · outbound

This paper cites Saad, Iterative methods for sparse linear systems (SIAM, 2003).

Regularized second-order optimization of tensor-network Born machines Saad, Iterative methods for sparse linear systems (SIAM, 2003)

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T22:54:26.982300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T22:54:26.851657Z digest=sha256:b722a38095d0fdd8c33b9d51ca493fdff3c81e539e9bf0de6dff87452e6a7e49

Observation d3440a9b-7d93-418e-aff8-aa8e6a005bbf · outbound

This paper cites an unresolved cited work.

Regularized second-order optimization of tensor-network Born machines Unresolved cited work

Reference 51

Resolution
unresolved
raw_fallback, observed 2026-08-09T22:54:26.967941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T22:54:26.854750Z digest=sha256:e2a198c8de907301fb968babc072580193cc3bffab53bf514f05a74abb546a4f

Observation 93834ebd-d952-40d8-9b4c-2b02e69fb723 · outbound

This paper cites Hackbusch, Iterative solution of large sparse systems of equations, Vol.

Regularized second-order optimization of tensor-network Born machines Hackbusch, Iterative solution of large sparse systems of equations, Vol

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T22:54:26.954938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T22:54:26.858146Z digest=sha256:9e880941672b1e66e67b59f73ebe04c4b36c60a56fed3fe2de5407e84006bbda

Observation df831c58-41a9-46f4-a0ce-568dc0cbfcf4 · outbound

This paper cites Liesen and P.

Regularized second-order optimization of tensor-network Born machines Liesen and P

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T22:54:26.941086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T22:54:26.861157Z digest=sha256:938cded801605d7c71ac910133221822ab5766e8d49a0c805ac80e269c232f7c

Observation 75f129fc-aa96-4ae5-9c8d-3566525d5e4e · outbound

This paper cites Haegeman, KrylovKit (2024).

Regularized second-order optimization of tensor-network Born machines Haegeman, KrylovKit (2024)

Reference 54

Resolution
unresolved
no resolver link, observed 2026-08-09T22:54:26.864444Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T22:54:26.864444Z digest=sha256:f7d32e25410b4cd5fc49c37f87cf2a45226446ed5b215f336ef56fd65222d52d

Pith citing papers

Observation e562158a-8198-450a-9c4a-c25fa1620f7d · inbound

Regularized second-order optimization of tensor-network Born machines cites this paper.

Regularized second-order optimization of tensor-network Born machines Regularized second-order optimization of tensor-network Born machines

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-09T22:54:26.672358Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T22:54:26.672358Z digest=sha256:2d3caabda089ec07405312cdbe82d4a63994cf33346e8fe2a3801b8d06f19064

Observation b517617b-831b-4790-a59c-f3895b041a0f · inbound

Hessian-vector products for tensor networks via recursive tangent-state propagation cites this paper.

Hessian-vector products for tensor networks via recursive tangent-state propagation Regularized second-order optimization of tensor-network Born machines

Reference 22

Resolution
verified exact
arxiv_id, observed 2026-05-10T00:29:47.530990Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-10T00:25:17.264233Z digest=sha256:77d662dda66905926324df5f048a4616e0ed2cfde2a8bb36e1b645d8bc602ba5

Observation 2bae3a88-fc1f-433d-8786-786287060c3b · inbound

On the Approximation Complexity of Matrix Product Operator Born Machines cites this paper.

On the Approximation Complexity of Matrix Product Operator Born Machines Regularized second-order optimization of tensor-network Born machines

Reference 22

Resolution
verified exact
arxiv_id, observed 2026-05-13T01:57:04.863362Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-05-13T01:56:10.153451Z digest=sha256:0287defa6a8926a32016e6278cdfb0f370a830dbaa646c5ed7011010c1528c4c