Paper Citation Record · LEDGER

Desingularization of bounded-rank tensor sets

As of 24 August 2026, this Paper Citation Record lists 55 of 55 outbound references and 1 inbound Pith citation observation for arXiv:2411.14093.

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pith.paper-citation-record.v1
2411.14093 v1

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measured 55 of 55 reference resolution

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Pith citing papers itemized under the disclosed page cap.

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

Source: arxiv_reference, observed 2026-05-23T01:15:17.113374Z

Reference resolution

55 of 55 outbound references displayed

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External citation measurements

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Outbound references

Observation 16540bbe-ff5f-4b04-a3ca-c67a716b6981 · outbound

This paper cites Trust-region meth- ods on Riemannian manifolds.

Desingularization of bounded-rank tensor sets Trust-region meth- ods on Riemannian manifolds

Reference 1

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Observation 483e3b4e-a31d-4e52-a4f5-e28d3db86ccf · outbound

This paper cites Optimization algo- rithms on matrix manifolds.

Desingularization of bounded-rank tensor sets Optimization algo- rithms on matrix manifolds

Reference 2

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Observation 64226033-c9ef-46b3-a641-d551cd72ff66 · outbound

This paper cites Low-rank tensor methods for partial differential equa- tions.

Desingularization of bounded-rank tensor sets Low-rank tensor methods for partial differential equa- tions

Reference 3

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Observation 58d8afb2-1a09-4e6e-bffe-10878e31d96f · outbound

This paper cites Dynamical low-rank tensor approximations to high-dimensional parabolic problems: existence and convergence of spatial discretizations.

Desingularization of bounded-rank tensor sets Dynamical low-rank tensor approximations to high-dimensional parabolic problems: existence and convergence of spatial discretizations

Reference 4

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Observation 35b4e1b8-2061-4aff-bf42-08c6bca45d9c · outbound

This paper cites Tensor networks and hierarchical tensors for the solution of high-dimensional par- tial differential equations.

Desingularization of bounded-rank tensor sets Tensor networks and hierarchical tensors for the solution of high-dimensional par- tial differential equations

Reference 5

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Observation 1088f8f0-2aeb-4f21-8753-41a29f34d539 · outbound

This paper cites An introduction to optimization on smooth manifolds.

Desingularization of bounded-rank tensor sets An introduction to optimization on smooth manifolds

Reference 6

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Observation 1c435f70-32dd-4b64-b210-a90bbe18b1ac · outbound

This paper cites Global rates of convergence for nonconvex optimization on manifolds.

Desingularization of bounded-rank tensor sets Global rates of convergence for nonconvex optimization on manifolds

Reference 7

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Observation e3e42dc9-5153-49ea-b4a4-d610dcd21653 · outbound

This paper cites Manopt, a Matlab toolbox for optimization on man- ifolds.

Desingularization of bounded-rank tensor sets Manopt, a Matlab toolbox for optimization on man- ifolds

Reference 8

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Observation 7e0ff8d5-53aa-4e17-8afb-b907f8bee5dc · outbound

This paper cites Determinantal rings.

Desingularization of bounded-rank tensor sets Determinantal rings

Reference 9

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Observation 59b271de-ad72-4f27-b414-f3d6b1d4fe49 · outbound

This paper cites A nonlinear programming algo- rithm for solving semidefinite programs via low-rank factorization.

Desingularization of bounded-rank tensor sets A nonlinear programming algo- rithm for solving semidefinite programs via low-rank factorization

Reference 10

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Observation 04cfe82d-e8d8-41f6-b5c0-8f3b4e91045b · outbound

This paper cites A Riemannian rank-adaptive method for low- rank matrix completion.

Desingularization of bounded-rank tensor sets A Riemannian rank-adaptive method for low- rank matrix completion

Reference 11

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Observation 4d57f3b1-8266-4fd4-9d2d-fea0dfee9563 · outbound

This paper cites Low-rank optimization on Tucker tensor varieties.

Desingularization of bounded-rank tensor sets Low-rank optimization on Tucker tensor varieties

Reference 12

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Observation a0c6efaf-9f5c-49cb-b7e9-08f9b61ea266 · outbound

This paper cites Riemannian preconditioned algorithms for tensor completion via tensor ring decomposition.

Desingularization of bounded-rank tensor sets Riemannian preconditioned algorithms for tensor completion via tensor ring decomposition

Reference 13

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Observation 6d641773-28cc-4974-8838-fea9751a3ac8 · outbound

This paper cites An equivalence be- tween critical points for rank constraints versus low-rank factorizations.

Desingularization of bounded-rank tensor sets An equivalence be- tween critical points for rank constraints versus low-rank factorizations

Reference 14

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Observation 3afb9c6a-9160-48f5-b584-57d2a7ed9952 · outbound

This paper cites Geometry of matrix product states: Metric, parallel transport, and curvature.

Desingularization of bounded-rank tensor sets Geometry of matrix product states: Metric, parallel transport, and curvature

Reference 15

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Observation 00e04d1d-6ec5-4b3e-b9ba-3702f4f319a0 · outbound

This paper cites Critical points of matrix least squares distance functions.

Desingularization of bounded-rank tensor sets Critical points of matrix least squares distance functions

Reference 16

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Observation 63731901-90df-4c37-9333-7fca17dd717d · outbound

This paper cites Methods of conjugate gradients for solving linear systems.

Desingularization of bounded-rank tensor sets Methods of conjugate gradients for solving linear systems

Reference 17

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Observation de190d6a-9f8f-4e37-ba71-097d98064cbe · outbound

This paper cites Multiple invariants and generalized rank of a p-way ma- trix or tensor.

Desingularization of bounded-rank tensor sets Multiple invariants and generalized rank of a p-way ma- trix or tensor

Reference 18

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Desingularization of bounded-rank tensor sets Unresolved cited work

Reference 19

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Observation ad09198d-a64d-4ad8-8029-a2aa74486dd8 · outbound

This paper cites On Iterative Hard Thresholding Methods for High-dimensional M-Estimation.

Desingularization of bounded-rank tensor sets On Iterative Hard Thresholding Methods for High-dimensional M-Estimation

Reference 20

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Observation 2ef61832-5d6b-4532-84a8-72d62878ef29 · outbound

This paper cites Low-rank tensor completion: a Rie- mannian manifold preconditioning approach.

Desingularization of bounded-rank tensor sets Low-rank tensor completion: a Rie- mannian manifold preconditioning approach

Reference 21

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Observation f096aa62-586e-4e52-a0db-71e592ffd9e3 · outbound

This paper cites On mani- folds of tensors of fixed TT-rank.

Desingularization of bounded-rank tensor sets On mani- folds of tensors of fixed TT-rank

Reference 22

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Observation effa6a40-8f8b-45b2-a844-5245826b2ca5 · outbound

This paper cites Desingularization of bounded-rank matrix sets.

Desingularization of bounded-rank tensor sets Desingularization of bounded-rank matrix sets

Reference 23

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Desingularization of bounded-rank tensor sets Dynamical tensor approximation

Reference 24

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Desingularization of bounded-rank tensor sets On the geometry of a theorem of Riemann

Reference 25

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Observation 4bf7f59d-c769-4037-900e-460da0e88e52 · outbound

This paper cites Low-rank tensor completion by Riemannian optimization.

Desingularization of bounded-rank tensor sets Low-rank tensor completion by Riemannian optimization

Reference 26

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This paper cites Tangent cones to tensor train varieties.

Desingularization of bounded-rank tensor sets Tangent cones to tensor train varieties

Reference 27

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Desingularization of bounded-rank tensor sets Tensor decompositions and applica- tions

Reference 28

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This paper cites Smooth manifolds.

Desingularization of bounded-rank tensor sets Smooth manifolds

Reference 29

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This paper cites Finding stationary points on bounded-rank matrices: a geometric hurdle and a smooth remedy.

Desingularization of bounded-rank tensor sets Finding stationary points on bounded-rank matrices: a geometric hurdle and a smooth remedy

Reference 30

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Observation b2f17005-c2e3-493f-b1da-cd44010b60ca · outbound

This paper cites Exact algorithms for determinantal varieties and semidefinite programming.

Desingularization of bounded-rank tensor sets Exact algorithms for determinantal varieties and semidefinite programming

Reference 32

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Observation 9fd37bdf-16a1-4c50-8fa8-e195cecb4a64 · outbound

This paper cites An apocalypse-free first-order low-rank optimization algorithm with at most one rank reduction attempt per iter- ation.

Desingularization of bounded-rank tensor sets An apocalypse-free first-order low-rank optimization algorithm with at most one rank reduction attempt per iter- ation

Reference 33

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This paper cites The effect of smooth parametriza- tions on nonconvex optimization landscapes.

Desingularization of bounded-rank tensor sets The effect of smooth parametriza- tions on nonconvex optimization landscapes

Reference 34

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Observation e3ba4fce-27b4-42b0-a533-af69bc4637d7 · outbound

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Desingularization of bounded-rank tensor sets First-order optimization on stratified sets

Reference 35

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Desingularization of bounded-rank tensor sets Tensor-train decomposition

Reference 36

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Observation 33403381-a847-4e8f-af5a-f06bba0c49a8 · outbound

This paper cites Low-rank optimization methods based on projected projected-gradient descent that accumulate at Bouligand stationary points.

Desingularization of bounded-rank tensor sets Low-rank optimization methods based on projected projected-gradient descent that accumulate at Bouligand stationary points

Reference 37

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Observation 1a23631c-3e02-4caf-ae06-17f65d9eb50d · outbound

This paper cites Optimization over bounded-rank matrices through a desingularization enables joint global and local guarantees.

Desingularization of bounded-rank tensor sets Optimization over bounded-rank matrices through a desingularization enables joint global and local guarantees

Reference 38

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Desingularization of bounded-rank tensor sets Unresolved cited work

Reference 39

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This paper cites Second-order optimization for tensors with fixed tensor-train rank.

Desingularization of bounded-rank tensor sets Second-order optimization for tensors with fixed tensor-train rank

Reference 40

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Observation 66b5cf9a-b266-4ecc-b6d2-256184af8af7 · outbound

This paper cites Convergence results for pro- jected line-search methods on varieties of low-rank matrices via Lojasiewicz inequality.

Desingularization of bounded-rank tensor sets Convergence results for pro- jected line-search methods on varieties of low-rank matrices via Lojasiewicz inequality

Reference 41

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Observation 93184442-9b85-48e8-ab4b-3cf1b9c718ef · outbound

This paper cites Online learning in the embedded manifold of low-rank matrices.

Desingularization of bounded-rank tensor sets Online learning in the embedded manifold of low-rank matrices

Reference 42

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Observation 4240cc44-c09c-49ba-a493-6c0e59cbed1f · outbound

This paper cites Riemannian conjugate gradient methods: General frame- work and specific algorithms with convergence analyses.

Desingularization of bounded-rank tensor sets Riemannian conjugate gradient methods: General frame- work and specific algorithms with convergence analyses

Reference 43

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Observation 9ded8fdc-75f1-4129-bd0a-edd8cb6fa0a2 · outbound

This paper cites Solving graph equipartition SDPs on an algebraic variety.

Desingularization of bounded-rank tensor sets Solving graph equipartition SDPs on an algebraic variety

Reference 44

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Observation 141a9f25-b564-48e3-8406-ac4ba2b19b1f · outbound

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Desingularization of bounded-rank tensor sets The extension of factor analysis to three-dimensional matrices

Reference 45

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Desingularization of bounded-rank tensor sets Riemannian optimization for high-dimensional tensor completion

Reference 46

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This paper cites The geometry of algorithms us- ing hierarchical tensors.

Desingularization of bounded-rank tensor sets The geometry of algorithms us- ing hierarchical tensors

Reference 47

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Observation 5af66c89-e0a2-4224-8bdb-94af2804930e · outbound

This paper cites Low-rank matrix completion by Riemannian optimiza- tion.

Desingularization of bounded-rank tensor sets Low-rank matrix completion by Riemannian optimiza- tion

Reference 48

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Desingularization of bounded-rank tensor sets Geometric methods on low- rank matrix and tensor manifolds

Reference 49

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Observation 27ba1b8e-e434-4e1a-904c-01c1f8a09a93 · outbound

This paper cites Rank estimation for third-order tensor com- pletion in the tensor-train format.

Desingularization of bounded-rank tensor sets Rank estimation for third-order tensor com- pletion in the tensor-train format

Reference 50

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Observation 4b1c7e4f-fd88-4a05-b539-dd6f934f4b71 · outbound

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Desingularization of bounded-rank tensor sets Tensor Ring Decomposition

Reference 51

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Desingularization of bounded-rank tensor sets Multilinear subspace analysis of image ensembles

Reference 52

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Observation ebe8012e-6b8c-45d8-b6bb-09c2d7ba69c0 · outbound

This paper cites A Riemannian rank-adaptive method for low-rank op- timization.

Desingularization of bounded-rank tensor sets A Riemannian rank-adaptive method for low-rank op- timization

Reference 56

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Desingularization of bounded-rank tensor sets Interference as an information-theoretic game

Reference 93

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Desingularization of bounded-rank tensor sets Unresolved cited work

Reference 1459

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Desingularization of bounded-rank tensor sets Unresolved cited work

Reference 2006

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Pith citing papers

Observation 67484975-8629-4f06-888e-1add93df556e · inbound

First-order methods on bounded-rank tensors converging to stationary points cites this paper.

First-order methods on bounded-rank tensors converging to stationary points Desingularization of bounded-rank tensor sets

Reference 8

Resolution: verified exact; arxiv_id, observed 2026-05-23T01:15:17.116553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.