Paper Citation Record · LEDGER

Local Linear Convergence of Infeasible Optimization with Orthogonal Constraints

As of 15 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2412.05689.

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

pith.paper-citation-record.v1
2412.05689 v1

Coverage vector

measured 36 of 36 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-11T20:33:42.896306Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

36 of 36 outbound references displayed

verified exact2
verified fuzzy27
unresolved7
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d2446c8e-e853-482b-9d25-fc2972dc6359 · outbound

This paper cites Fast and accurate optimization on the orthogonal manifold without retraction.

Local Linear Convergence of Infeasible Optimization with Orthogonal Constraints Fast and accurate optimization on the orthogonal manifold without retraction

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:33:43.538599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a1431773-a896-4862-bcae-1e52e526d915 · outbound

This paper cites Infeasible Deterministic, Stochastic, and Variance-Reduction Algorithms for Optimization under Orthogonality Constraints.

Local Linear Convergence of Infeasible Optimization with Orthogonal Constraints Infeasible Deterministic, Stochastic, and Variance-Reduction Algorithms for Optimization under Orthogonality Constraints

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-11T20:33:43.057715Z

Source-reported events for the cited work

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Observation a143f25a-35ab-4fb6-a2c7-ab41aba540ff · outbound

This paper cites Optimization algorithms on matrix manifolds.

Local Linear Convergence of Infeasible Optimization with Orthogonal Constraints Optimization algorithms on matrix manifolds

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:33:43.525147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c7d98ceb-34ba-476b-a999-de78894b9ecf · outbound

This paper cites Projection-like retractions on matrix manifolds.

Local Linear Convergence of Infeasible Optimization with Orthogonal Constraints Projection-like retractions on matrix manifolds

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:33:43.511725Z

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Observation 5eb7f4e3-da60-4cd4-a4cf-fea643ea933e · outbound

This paper cites A First-Order Numerical Algorithm without Matrix Operations.

Local Linear Convergence of Infeasible Optimization with Orthogonal Constraints A First-Order Numerical Algorithm without Matrix Operations

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-11T20:33:43.031810Z

Source-reported events for the cited work

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Observation ef436413-2536-496d-a15a-4991f3c8114f · outbound

This paper cites Unitary evolution recurrent neural networks.

Local Linear Convergence of Infeasible Optimization with Orthogonal Constraints Unitary evolution recurrent neural networks

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:33:43.498072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 071b5a73-57d6-4f98-b933-41f0c50de930 · outbound

This paper cites Beyond linearization: On quadratic and higher-order approximation of wide neural networks.

Local Linear Convergence of Infeasible Optimization with Orthogonal Constraints Beyond linearization: On quadratic and higher-order approximation of wide neural networks

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:33:43.485494Z

Source-reported events for the cited work

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Observation d6299fa0-b292-488b-bbbd-aa395e2d58b6 · outbound

This paper cites Can we gain more from orthogonality regularizations in training deep networks? Advances in Neural Information Processing Systems , 31, 2018.

Local Linear Convergence of Infeasible Optimization with Orthogonal Constraints Can we gain more from orthogonality regularizations in training deep networks? Advances in Neural Information Processing Systems , 31, 2018

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:33:43.469931Z

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Observation cec2cdd4-3fbe-4527-92ed-7bbedddfd27a · outbound

This paper cites Riemannian adaptive optimization methods.

Local Linear Convergence of Infeasible Optimization with Orthogonal Constraints Riemannian adaptive optimization methods

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:33:43.455930Z

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Observation 6db55dce-0348-4ecb-b4eb-2ec61cf1cd60 · outbound

This paper cites Stochastic first-order methods for convex and nonconvex functional constrained optimization.

Local Linear Convergence of Infeasible Optimization with Orthogonal Constraints Stochastic first-order methods for convex and nonconvex functional constrained optimization

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:33:43.440104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3438c1e2-8537-42d0-bf34-a96fe2a0cbf9 · outbound

This paper cites Boumal, P.-A.

Local Linear Convergence of Infeasible Optimization with Orthogonal Constraints Boumal, P.-A

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:33:43.422858Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 9b9dba96-d71d-4de7-8ef8-ffd2250d0516 · outbound

This paper cites Reducing Overfitting in Deep Networks by Decorrelating Representations.

Local Linear Convergence of Infeasible Optimization with Orthogonal Constraints Reducing Overfitting in Deep Networks by Decorrelating Representations

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-11T20:33:42.755325Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 921d4d50-9e00-442c-b45d-e187b064ede0 · outbound

This paper cites The geometry of algorithms with orthogonality constraints.

Local Linear Convergence of Infeasible Optimization with Orthogonal Constraints The geometry of algorithms with orthogonality constraints

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:33:43.407128Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b573502f-20e8-45d8-a295-6b5b5b346dbf · outbound

This paper cites Nonlinear programming without a penalty function.

Local Linear Convergence of Infeasible Optimization with Orthogonal Constraints Nonlinear programming without a penalty function

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:33:43.391726Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 8001c832-b35d-4ee0-a9af-fbd944fd6838 · outbound

This paper cites Parallelizable algorithms for optimization problems with orthogonality constraints.

Local Linear Convergence of Infeasible Optimization with Orthogonal Constraints Parallelizable algorithms for optimization problems with orthogonality constraints

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:33:43.377082Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3fe5dfb9-6a88-4323-855a-246b01ca43db · outbound

This paper cites Riemannian hamiltonian methods for min-max optimization on manifolds.

Local Linear Convergence of Infeasible Optimization with Orthogonal Constraints Riemannian hamiltonian methods for min-max optimization on manifolds

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:33:43.360350Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 1b320e6d-6497-4d45-b701-07a478f38669 · outbound

This paper cites Analysis of a complex of statistical variables into principal components.

Local Linear Convergence of Infeasible Optimization with Orthogonal Constraints Analysis of a complex of statistical variables into principal components

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-11T20:33:42.786651Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6a9de244-4582-4fda-9bae-c40d8c97fc30 · outbound

This paper cites Canonical correlation analysis (cca).

Local Linear Convergence of Infeasible Optimization with Orthogonal Constraints Canonical correlation analysis (cca)

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:33:43.333210Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a54e7cd6-416e-447e-8b9d-81d4cd508d34 · outbound

This paper cites A decentralized algorithm for spectral analysis.

Local Linear Convergence of Infeasible Optimization with Orthogonal Constraints A decentralized algorithm for spectral analysis

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:33:43.319520Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 2d35a804-991f-41ab-b3fc-88c938a31597 · outbound

This paper cites Literature survey on low rank ap- proximation of matrices.

Local Linear Convergence of Infeasible Optimization with Orthogonal Constraints Literature survey on low rank ap- proximation of matrices

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:33:43.305253Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 2d2eb41d-5fe6-4280-a9db-9302f9cf5c9f · outbound

This paper cites Efficient riemannian optimiza- tion on the stiefel manifold via the cayley transform.

Local Linear Convergence of Infeasible Optimization with Orthogonal Constraints Efficient riemannian optimiza- tion on the stiefel manifold via the cayley transform

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:33:43.289590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 1bdcb578-ca4b-40b4-901d-95d91631f2fb · outbound

This paper cites an unresolved cited work.

Local Linear Convergence of Infeasible Optimization with Orthogonal Constraints Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-11T20:33:43.271375Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 20f1ba8d-80de-417b-b6a3-f17f6e79388c · outbound

This paper cites Cloud k-svd: A collaborative dic- tionary learning algorithm for big, distributed data.

Local Linear Convergence of Infeasible Optimization with Orthogonal Constraints Cloud k-svd: A collaborative dic- tionary learning algorithm for big, distributed data

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:33:43.255924Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation aeed49d0-e8a8-41eb-9620-de8ceeb6b21d · outbound

This paper cites Fast convergence to non-isolated minima: four equivalent conditions for c 2 functions.

Local Linear Convergence of Infeasible Optimization with Orthogonal Constraints Fast convergence to non-isolated minima: four equivalent conditions for c 2 functions

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:33:43.238764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e21b7c22-a712-4500-afed-4a9bcba7420c · outbound

This paper cites A dai–yuan-type riemannian conjugate gradient method with the weak wolfe conditions.

Local Linear Convergence of Infeasible Optimization with Orthogonal Constraints A dai–yuan-type riemannian conjugate gradient method with the weak wolfe conditions

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:33:43.220302Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation dcb21283-16a2-4511-b554-102b598925a5 · outbound

This paper cites Orthogonal directions constrained gradient method: from non- linear equality constraints to stiefel manifold.

Local Linear Convergence of Infeasible Optimization with Orthogonal Constraints Orthogonal directions constrained gradient method: from non- linear equality constraints to stiefel manifold

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:33:43.204198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 95770903-c2f9-4cd8-b8c3-1aa2102ba4f0 · outbound

This paper cites Convergence results for projected line-search methods on varieties of low-rank matrices via łojasiewicz inequality.

Local Linear Convergence of Infeasible Optimization with Orthogonal Constraints Convergence results for projected line-search methods on varieties of low-rank matrices via łojasiewicz inequality

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:33:43.181345Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 762cd26d-824f-470d-8534-d9af1c0a88a7 · outbound

This paper cites Retraction-Free Decentralized Non-convex Optimization with Orthogonal Constraints.

Local Linear Convergence of Infeasible Optimization with Orthogonal Constraints Retraction-Free Decentralized Non-convex Optimization with Orthogonal Constraints

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-11T20:33:42.846773Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0c2a3fe7-6a83-4293-a3da-b68ca7ef4bdf · outbound

This paper cites Orthogonalizing convolutional layers with the cayley transform.

Local Linear Convergence of Infeasible Optimization with Orthogonal Constraints Orthogonalizing convolutional layers with the cayley transform

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-11T20:33:42.853543Z

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Unavailable: canonical work link unavailable.

Observation 0851b931-73ef-4a81-95ae-1b44766b2f23 · outbound

This paper cites On orthogonality and learning recurrent networks with long term de- pendencies.

Local Linear Convergence of Infeasible Optimization with Orthogonal Constraints On orthogonality and learning recurrent networks with long term de- pendencies

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:33:43.144152Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 073fbbf1-eaee-4673-a24a-8fe05f615c76 · outbound

This paper cites Solving Optimization Problems over the Stiefel Manifold by Smooth Exact Penalty Function.

Local Linear Convergence of Infeasible Optimization with Orthogonal Constraints Solving Optimization Problems over the Stiefel Manifold by Smooth Exact Penalty Function

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-11T20:33:42.864970Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 22697e52-5813-44a6-9178-8a20b2b22147 · outbound

This paper cites Dissolving constraints for riemannian optimization.

Local Linear Convergence of Infeasible Optimization with Orthogonal Constraints Dissolving constraints for riemannian optimization

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:33:43.124639Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 64a331d0-d60b-460f-8d22-37dc055e0932 · outbound

This paper cites A class of smooth exact penalty function methods for optimization problems with orthogonality constraints.

Local Linear Convergence of Infeasible Optimization with Orthogonal Constraints A class of smooth exact penalty function methods for optimization problems with orthogonality constraints

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:33:43.102691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 24ec9d19-7f6d-45b4-8a04-927ba52a99f8 · outbound

This paper cites First-order methods for geodesically convex optimization.

Local Linear Convergence of Infeasible Optimization with Orthogonal Constraints First-order methods for geodesically convex optimization

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:33:43.087687Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 9ce67163-a0e4-473b-9a2a-299b5df1bdb7 · outbound

This paper cites Towards Riemannian Accelerated Gradient Methods.

Local Linear Convergence of Infeasible Optimization with Orthogonal Constraints Towards Riemannian Accelerated Gradient Methods

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-11T20:33:42.890542Z

Source-reported events for the cited work

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Observation e77e95d9-9770-46ea-a4be-35567bec2ae5 · outbound

This paper cites Adaptive budget allocation for parameter-efficient fine-tuning.

Local Linear Convergence of Infeasible Optimization with Orthogonal Constraints Adaptive budget allocation for parameter-efficient fine-tuning

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:33:43.072315Z

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