Paper Citation Record · LEDGER

Linear-Scaling Tensor Train Sketching

As of 14 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 2 inbound Pith citation observations for arXiv:2603.11009.

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

pith.paper-citation-record.v1
2603.11009 v3

Coverage vector

measured 50 of 50 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-14T23:11:18.736508Z

measured 52 of 52 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-15T00:25:20.432328Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

50 of 50 outbound references displayed

verified exact0
verified fuzzy0
unresolved50
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metadata mismatch0

External citation measurements

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arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation ec85eb10-3e62-40dc-9e7b-58befc4da745 · outbound

This paper cites Oblivious Sketching of High-Degree Polynomial Kernels.

Linear-Scaling Tensor Train Sketching Oblivious Sketching of High-Degree Polynomial Kernels

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-14T23:11:18.736508Z

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Observation 5e8faf09-f20c-4204-9bdd-3d3c65177d1e · outbound

This paper cites Ahle, Michael Kapralov, Jakob Bæk Tejs Knudsen, Rasmus Pagh, Ameya Vel- ingker, David P.

Linear-Scaling Tensor Train Sketching Ahle, Michael Kapralov, Jakob Bæk Tejs Knudsen, Rasmus Pagh, Ameya Vel- ingker, David P

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-14T23:11:18.736508Z

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Observation 14fb0948-5188-4731-af9b-41a4791d3c38 · outbound

This paper cites The Fast Johnson–Lindenstrauss Transform and Approx- imate Nearest Neighbors.SIAM Journal on computing, 39(1):302–322, 2009.

Linear-Scaling Tensor Train Sketching The Fast Johnson–Lindenstrauss Transform and Approx- imate Nearest Neighbors.SIAM Journal on computing, 39(1):302–322, 2009

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-14T23:11:18.736508Z

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Observation 250956fa-6785-4737-908d-7186118acd4c · outbound

This paper cites Reid, and Arvind K.

Linear-Scaling Tensor Train Sketching Reid, and Arvind K

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-14T23:11:18.736508Z

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Observation 61fc51eb-7ec3-4897-bcd5-614c92cf9d39 · outbound

This paper cites Particle Number Conservation and Block Structures in Matrix Product States.Calcolo, 59(2):24, 2022.

Linear-Scaling Tensor Train Sketching Particle Number Conservation and Block Structures in Matrix Product States.Calcolo, 59(2):24, 2022

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-14T23:11:18.736508Z

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Observation edbe585c-b2b1-42c0-9ac3-74b1d5b129b5 · outbound

This paper cites Subspace embed- ding with random Khatri–Rao products and its application to eigensolvers.IMA journal of numerical analysis, page draf043, 2025.

Linear-Scaling Tensor Train Sketching Subspace embed- ding with random Khatri–Rao products and its application to eigensolvers.IMA journal of numerical analysis, page draf043, 2025

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-14T23:11:18.736508Z

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Observation 8749efc8-987d-450f-ad43-9ec8e75b07be · outbound

This paper cites Faster Linear Algebra Algorithms with Structured Random Matrices.

Linear-Scaling Tensor Train Sketching Faster Linear Algebra Algorithms with Structured Random Matrices

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-14T23:11:18.736508Z

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Observation 23c6ecd4-5d2e-420b-b695-936d96da76e5 · outbound

This paper cites Successive randomized compres- sion: A randomized algorithm for the compressed MPO-MPS product.arXiv preprint arXiv:2504.06475, 2025.

Linear-Scaling Tensor Train Sketching Successive randomized compres- sion: A randomized algorithm for the compressed MPO-MPS product.arXiv preprint arXiv:2504.06475, 2025

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-14T23:11:18.736508Z

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Observation 0385cbf3-953d-41fd-b742-12c2f5eeb176 · outbound

This paper cites Efficient Randomized Algorithms for Computing an Approximation of the Tensor Train Decomposition.Journal of Scientific Computing, 107(1):2, February 2026.

Linear-Scaling Tensor Train Sketching Efficient Randomized Algorithms for Computing an Approximation of the Tensor Train Decomposition.Journal of Scientific Computing, 107(1):2, February 2026

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-14T23:11:18.736508Z

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Observation 1f3aceeb-ffbc-40ad-9531-a34aa11bba8f · outbound

This paper cites Optimal Oblivious Subspace Embeddings with Near-optimal Sparsity.

Linear-Scaling Tensor Train Sketching Optimal Oblivious Subspace Embeddings with Near-optimal Sparsity

Reference 10

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Observation 18153f43-4d09-46d2-9578-2bd4cbdfb82a · outbound

This paper cites Optimal approximate matrix product in terms of stable rank.

Linear-Scaling Tensor Train Sketching Optimal approximate matrix product in terms of stable rank

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-14T23:11:18.736508Z

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Observation 9cc05553-03d8-40c4-a4b7-aaf92c7c254d · outbound

This paper cites Adaptive Randomized Tensor Train Rounding using Khatri-Rao Products.arXiv preprint arXiv:2511.03598, 2025.

Linear-Scaling Tensor Train Sketching Adaptive Randomized Tensor Train Rounding using Khatri-Rao Products.arXiv preprint arXiv:2511.03598, 2025

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-14T23:11:18.736508Z

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Observation f78d2f69-2827-40b6-9510-b895dceaa90f · outbound

This paper cites Computation of extreme eigenvalues in higher dimensions using block tensor train format.

Linear-Scaling Tensor Train Sketching Computation of extreme eigenvalues in higher dimensions using block tensor train format

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-14T23:11:18.736508Z

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Observation 0139e6bd-6748-4625-9f03-94e7005d9692 · outbound

This paper cites Learning tensor networks with tensor cross interpolation: New algorithms and libraries.SciPost Phys., 18:104, 2025.

Linear-Scaling Tensor Train Sketching Learning tensor networks with tensor cross interpolation: New algorithms and libraries.SciPost Phys., 18:104, 2025

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-14T23:11:18.736508Z

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Observation 994ae2ff-6db1-41aa-b03b-bd53f060b468 · outbound

This paper cites A Quantum Inspired Approach to Exploit Turbulence Structures.Nature Computational Science, 2(1):30–37, January 2022.

Linear-Scaling Tensor Train Sketching A Quantum Inspired Approach to Exploit Turbulence Structures.Nature Computational Science, 2(1):30–37, January 2022

Reference 15

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Observation 3cc5352f-1b78-42b4-bc04-d3f9656da158 · outbound

This paper cites Springer, Heidelberg, 2012.

Linear-Scaling Tensor Train Sketching Springer, Heidelberg, 2012

Reference 16

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Observation 08a012bc-0909-489a-ae22-8c0f3abccb24 · outbound

This paper cites Halko, P.

Linear-Scaling Tensor Train Sketching Halko, P

Reference 17

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Observation 90928a37-6857-471d-b9bb-3fc5023d2e83 · outbound

This paper cites Springer International Publishing, Cham, 2017.

Linear-Scaling Tensor Train Sketching Springer International Publishing, Cham, 2017

Reference 18

Resolution: unresolved; no resolver link, observed 2026-07-14T23:11:18.736508Z

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Observation 353bcf3c-1bf2-4e17-b01e-dee3892203c2 · outbound

This paper cites Almost Optimal Explicit Johnson- Lindenstrauss Families.

Linear-Scaling Tensor Train Sketching Almost Optimal Explicit Johnson- Lindenstrauss Families

Reference 19

Resolution: unresolved; no resolver link, observed 2026-07-14T23:11:18.736508Z

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Observation e39bdeea-fe91-4866-9e31-0a3dc4d20434 · outbound

This paper cites QTT-finite- element approximation for multiscale problems I: model problems in one dimension.Ad- vances in Computational Mathematics, 43(2):411–442, 2017.

Linear-Scaling Tensor Train Sketching QTT-finite- element approximation for multiscale problems I: model problems in one dimension.Ad- vances in Computational Mathematics, 43(2):411–442, 2017

Reference 20

Resolution: unresolved; no resolver link, observed 2026-07-14T23:11:18.736508Z

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Observation 161820ef-b6f1-42cb-9e66-5d5e6bbae51d · outbound

This paper cites Quantized tensor FEM for multiscale problems: diffusion problems in two and three dimensions.Mul- tiscale Modeling & Simulation, 20(3):893–935, 2022.

Linear-Scaling Tensor Train Sketching Quantized tensor FEM for multiscale problems: diffusion problems in two and three dimensions.Mul- tiscale Modeling & Simulation, 20(3):893–935, 2022

Reference 21

Resolution: unresolved; no resolver link, observed 2026-07-14T23:11:18.736508Z

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Observation 2082eadb-6df8-43e2-b1a1-d6b4a01a71ab · outbound

This paper cites Streaming Tensor Train Approxi- mation.SIAM Journal on Scientific Computing, 45(5):A2610–A2631, October 2023.

Linear-Scaling Tensor Train Sketching Streaming Tensor Train Approxi- mation.SIAM Journal on Scientific Computing, 45(5):A2610–A2631, October 2023

Reference 22

Resolution: unresolved; no resolver link, observed 2026-07-14T23:11:18.736508Z

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Observation be81f6c2-0a0d-4208-b1a2-5584cf81c118 · outbound

This paper cites Estimation of moments of sums of independent real random variables.The Annals of Probability, 25(3):1502–1513, 1997.

Linear-Scaling Tensor Train Sketching Estimation of moments of sums of independent real random variables.The Annals of Probability, 25(3):1502–1513, 1997

Reference 23

Resolution: unresolved; no resolver link, observed 2026-07-14T23:11:18.736508Z

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Observation df5caae9-e57a-4555-b522-12f61c51a06c · outbound

This paper cites Adaptive estimation of a quadratic functional by model selection.Annals of statistics, pages 1302–1338, 2000.

Linear-Scaling Tensor Train Sketching Adaptive estimation of a quadratic functional by model selection.Annals of statistics, pages 1302–1338, 2000

Reference 24

Resolution: unresolved; no resolver link, observed 2026-07-14T23:11:18.736508Z

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Observation a9c9a953-f3bb-4dfb-afd0-396d60804433 · outbound

This paper cites Multiscale interpolative construction of quantized tensor trains.

Linear-Scaling Tensor Train Sketching Multiscale interpolative construction of quantized tensor trains

Reference 25

Resolution: unresolved; no resolver link, observed 2026-07-14T23:11:18.736508Z

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Observation e35a8ce4-a599-46db-818f-cb522e4a78f9 · outbound

This paper cites Cost-efficient Gaussian Tensor Network Embeddings for Tensor-structured Inputs.Advances in Neural Information Processing Systems, 35:38980– 38993, 2022.

Linear-Scaling Tensor Train Sketching Cost-efficient Gaussian Tensor Network Embeddings for Tensor-structured Inputs.Advances in Neural Information Processing Systems, 35:38980– 38993, 2022

Reference 26

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Observation 2aca6782-19c9-468c-b6d4-b5d3856994c4 · outbound

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Linear-Scaling Tensor Train Sketching Unresolved cited work

Reference 27

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Observation a852f312-27c9-4a39-a8c8-4e9fd00be269 · outbound

This paper cites Miles Stoudenmire.

Linear-Scaling Tensor Train Sketching Miles Stoudenmire

Reference 28

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Observation d82bd01e-2e8f-44fd-8c38-f0aec0f8822b · outbound

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Linear-Scaling Tensor Train Sketching Unresolved cited work

Reference 29

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Observation 0d498e0c-fd80-4072-a2c4-f7b56aa7aefd · outbound

This paper cites Meyer and Haim Avron.

Linear-Scaling Tensor Train Sketching Meyer and Haim Avron

Reference 30

Resolution: unresolved; no resolver link, observed 2026-07-14T23:11:18.736508Z

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Observation dd4ad4d1-750a-4281-acfb-0c3473a7cc67 · outbound

This paper cites Understanding the Kronecker Matrix-Vector Complexity of Linear Algebra.

Linear-Scaling Tensor Train Sketching Understanding the Kronecker Matrix-Vector Complexity of Linear Algebra

Reference 31

Resolution: unresolved; no resolver link, observed 2026-07-14T23:11:18.736508Z

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Observation a164f3be-0076-4f69-8a52-454a79f8e115 · outbound

This paper cites Randomized Numerical Linear Algebra : A Perspective on the Field With an Eye to Software.

Linear-Scaling Tensor Train Sketching Randomized Numerical Linear Algebra : A Perspective on the Field With an Eye to Software

Reference 32

Resolution: unresolved; no resolver link, observed 2026-07-14T23:11:18.736508Z

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Observation 4bc2feed-3d93-4e35-9a6d-e2fa705a819d · outbound

This paper cites Fast and stable randomized low-rank matrix approximation.

Linear-Scaling Tensor Train Sketching Fast and stable randomized low-rank matrix approximation

Reference 33

Resolution: unresolved; no resolver link, observed 2026-07-14T23:11:18.736508Z

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Observation 893eba4c-6cda-457f-8a2f-0d1affc0252e · outbound

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Linear-Scaling Tensor Train Sketching Unresolved cited work

Reference 34

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Observation 5993c354-97be-4c57-a79c-82f8883668a4 · outbound

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Linear-Scaling Tensor Train Sketching Unresolved cited work

Reference 35

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Observation ba831001-43fc-4946-8f4f-7dd721dbeceb · outbound

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Linear-Scaling Tensor Train Sketching Unresolved cited work

Reference 36

Resolution: unresolved; no resolver link, observed 2026-07-14T23:11:18.736508Z

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Observation cbc1b747-d998-4f15-a694-e2b1296fec33 · outbound

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Linear-Scaling Tensor Train Sketching Unresolved cited work

Reference 37

Resolution: unresolved; no resolver link, observed 2026-07-14T23:11:18.736508Z

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Observation d7e86933-5d27-44f2-9709-bc7b7590c3a5 · outbound

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Linear-Scaling Tensor Train Sketching Unresolved cited work

Reference 38

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Observation 07949da0-981b-41cf-a692-bb874619fd56 · outbound

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Linear-Scaling Tensor Train Sketching Unresolved cited work

Reference 39

Resolution: unresolved; no resolver link, observed 2026-07-14T23:11:18.736508Z

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Observation dac2e2be-8879-497e-b721-dcf55e576aa3 · outbound

This paper cites TT-cross approximation for multidimensional arrays.Linear Algebra and its Applications, 432(1):70–88, 2010.

Linear-Scaling Tensor Train Sketching TT-cross approximation for multidimensional arrays.Linear Algebra and its Applications, 432(1):70–88, 2010

Reference 40

Resolution: unresolved; no resolver link, observed 2026-07-14T23:11:18.736508Z

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Observation 694b95bf-9dbd-4944-a563-af9fc8929fc4 · outbound

This paper cites Tensorized Random Projections.

Linear-Scaling Tensor Train Sketching Tensorized Random Projections

Reference 41

Resolution: unresolved; no resolver link, observed 2026-07-14T23:11:18.736508Z

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Observation 016f89a6-3c2a-405f-835d-1a6944a1597c · outbound

This paper cites Ritter, Yuriel N´ u˜ nez Fern´ andez, Markus Wallerberger, Jan von Delft, Hiroshi Shinaoka, and Xavier Waintal.

Linear-Scaling Tensor Train Sketching Ritter, Yuriel N´ u˜ nez Fern´ andez, Markus Wallerberger, Jan von Delft, Hiroshi Shinaoka, and Xavier Waintal

Reference 42

Resolution: unresolved; no resolver link, observed 2026-07-14T23:11:18.736508Z

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Observation b7cf21a5-f029-4161-9935-09e022ec62f7 · outbound

This paper cites Saibaba, Bhisham Dev Verma, and Grey Ballard.

Linear-Scaling Tensor Train Sketching Saibaba, Bhisham Dev Verma, and Grey Ballard

Reference 43

Resolution: unresolved; no resolver link, observed 2026-07-14T23:11:18.736508Z

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Observation 8acc2ad6-0bd8-4557-bfaa-f53a31f60654 · outbound

This paper cites Improved Approximation Algorithms for Large Matrices via Random Pro- jections.

Linear-Scaling Tensor Train Sketching Improved Approximation Algorithms for Large Matrices via Random Pro- jections

Reference 44

Resolution: unresolved; no resolver link, observed 2026-07-14T23:11:18.736508Z

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Observation 5f38a091-221b-4382-b6a3-e78dd86cd243 · outbound

This paper cites HaTT: Hadamard avoiding TT recompression.arXiv preprint arXiv:2410.04385, 2024.

Linear-Scaling Tensor Train Sketching HaTT: Hadamard avoiding TT recompression.arXiv preprint arXiv:2410.04385, 2024

Reference 45

Resolution: unresolved; no resolver link, observed 2026-07-14T23:11:18.736508Z

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Observation 7079ebb8-c483-446c-b3ff-e4b75dd6fe67 · outbound

This paper cites Tensor product methods and entanglement optimiza- tion for ab initio quantum chemistry.International Journal of Quantum Chemistry, 115(19):1342–1391, October 2015.

Linear-Scaling Tensor Train Sketching Tensor product methods and entanglement optimiza- tion for ab initio quantum chemistry.International Journal of Quantum Chemistry, 115(19):1342–1391, October 2015

Reference 46

Resolution: unresolved; no resolver link, observed 2026-07-14T23:11:18.736508Z

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Observation 2bade171-3669-4885-8176-1acae25c6c31 · outbound

This paper cites Comparison theorems for the minimum eigenvalue of a random positive-semidefinite matrix.

Linear-Scaling Tensor Train Sketching Comparison theorems for the minimum eigenvalue of a random positive-semidefinite matrix

Reference 47

Resolution: unresolved; no resolver link, observed 2026-07-14T23:11:18.736508Z

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Observation 6cd25416-9b88-40bd-a7fe-096512061837 · outbound

This paper cites an unresolved cited work.

Linear-Scaling Tensor Train Sketching Unresolved cited work

Reference 48

Resolution: unresolved; no resolver link, observed 2026-07-14T23:11:18.736508Z

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Observation 7786d871-340c-4c41-a861-369968ec3c12 · outbound

This paper cites Sketching as a Tool for Numerical Linear Algebra.Foundations and Trends in Theoretical Computer Science, 10(1–2):1–157, 2014.

Linear-Scaling Tensor Train Sketching Sketching as a Tool for Numerical Linear Algebra.Foundations and Trends in Theoretical Computer Science, 10(1–2):1–157, 2014

Reference 49

Resolution: unresolved; no resolver link, observed 2026-07-14T23:11:18.736508Z

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Observation 771764d8-ca21-475e-bd42-4f76ad58a3a4 · outbound

This paper cites Quantized tensor networks for solving the Vlasov–Maxwell equations.Journal of Plasma Physics, 90(3):805900301, 2024.

Linear-Scaling Tensor Train Sketching Quantized tensor networks for solving the Vlasov–Maxwell equations.Journal of Plasma Physics, 90(3):805900301, 2024

Reference 50

Resolution: unresolved; no resolver link, observed 2026-07-14T23:11:18.736508Z

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Pith citing papers

Observation 6ba5927a-188b-49e1-9a59-99ffbc6f7233 · inbound

Fast elementwise operations on tensor trains with alternating cross interpolation cites this paper.

Fast elementwise operations on tensor trains with alternating cross interpolation Linear-Scaling Tensor Train Sketching

Reference 37

Resolution: verified exact; arxiv_id, observed 2026-06-30T03:18:06.699864Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 7766135a-2a2e-49c6-bf40-edb5940a894e · inbound

Oblivious Subspace Injection Is Not Enough for Relative Error cites this paper.

Oblivious Subspace Injection Is Not Enough for Relative Error Linear-Scaling Tensor Train Sketching

Reference 5

Resolution: verified exact; arxiv_id, observed 2026-06-30T03:18:06.699864Z

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.