Paper Citation Record · LEDGER

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method

As of 18 August 2026, this Paper Citation Record lists 80 of 80 outbound references and 2 inbound Pith citation observations for arXiv:2505.12378.

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

pith.paper-citation-record.v1
2505.12378 v1

Coverage vector

measured 80 of 80 reference resolution

Typed states for the displayed outbound observations.

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measured 82 of 82 standing notices

One-hop event checks from named stored sources.

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measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-13T06:17:23.220516Z

Reference resolution

80 of 80 outbound references displayed

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External citation measurements

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Outbound references

Observation 6ec02f12-22d8-41df-8f32-88e510dc2f1e · outbound

This paper cites write newline.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method write newline

Reference 1

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Observation b694bb06-dc49-46b5-b41a-d96f0ff5bfce · outbound

This paper cites write newline.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method write newline

Reference 2

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Observation 7e109798-33f0-4abd-bcab-283f8e4e4881 · outbound

This paper cites and Peyr \'e , G.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method and Peyr \'e , G

Reference 3

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Observation 52c8de1f-10ed-453e-9746-04987d1cbf0d · outbound

This paper cites and Malick, J.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method and Malick, J

Reference 5

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Observation 29a48728-1cc6-40f7-9f31-48c4ea0ea5b1 · outbound

This paper cites G., and Gallivan, K.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method G., and Gallivan, K

Reference 6

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Observation 4b0fd49d-1623-4760-9799-b9546ffe56b8 · outbound

This paper cites Optimization algorithms on matrix manifolds.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method Optimization algorithms on matrix manifolds

Reference 7

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Observation c14d9e98-364e-4f97-8373-d24bdf7ebbb7 · outbound

This paper cites Adaptive regularization with cubics on manifolds.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method Adaptive regularization with cubics on manifolds

Reference 8

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Observation bca51cfd-65ab-4dd8-ba11-e43b992ec2a2 · outbound

This paper cites and Sra, S.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method and Sra, S

Reference 9

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Observation 19a3efad-fc30-4d64-86f5-fe76e78c7251 · outbound

This paper cites Momentum improves optimization on R iemannian manifolds.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method Momentum improves optimization on R iemannian manifolds

Reference 10

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Observation 6020801c-d44b-4f58-be5c-d55a17a0b6b7 · outbound

This paper cites Stochastic gradient descent on R iemannian manifolds.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method Stochastic gradient descent on R iemannian manifolds

Reference 11

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Observation e1ca6238-e8e2-4c3e-840f-778c78755a03 · outbound

This paper cites An introduction to optimization on smooth manifolds.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method An introduction to optimization on smooth manifolds

Reference 12

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Observation 1da732b6-ea53-4457-8a10-526169d92115 · outbound

This paper cites and Cartis, C.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method and Cartis, C

Reference 13

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Observation 6969dbac-2662-4b48-8894-dc95f89f7473 · outbound

This paper cites E., Karisch, S.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method E., Karisch, S

Reference 14

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Observation 79af1a21-b793-4e86-a573-4fd16170274f · outbound

This paper cites Continual learning in low-rank orthogonal subspaces.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method Continual learning in low-rank orthogonal subspaces

Reference 15

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Observation c2e7a51b-dbb5-4982-a327-dccc70c1a6ee · outbound

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Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method Unresolved cited work

Reference 16

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Observation cf5707ab-701f-4ee2-8e18-d63b6d6ad14b · outbound

This paper cites Proximal gradient method for nonsmooth optimization over the S tiefel manifold.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method Proximal gradient method for nonsmooth optimization over the S tiefel manifold

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:48:41.656205Z

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Observation 69af4d44-db09-4a40-9382-ac0431305b6f · outbound

This paper cites Randomized Submanifold Subgradient Method for Optimization over Stiefel Manifolds.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method Randomized Submanifold Subgradient Method for Optimization over Stiefel Manifolds

Reference 18

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Observation e1dfeec1-6ff7-486b-9685-a351fb104063 · outbound

This paper cites Low-complexity subspace-descent over symmetric positive definite manifold.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method Low-complexity subspace-descent over symmetric positive definite manifold

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-08-15T20:48:40.026290Z

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Observation fd1f1591-b5eb-475d-8e1e-3b463e62b157 · outbound

This paper cites A., and Smith, S.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method A., and Smith, S

Reference 20

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Observation 17a0c326-9070-4e1d-90ff-655278248ec0 · outbound

This paper cites O-ViT: Orthogonal Vision Transformer.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method O-ViT: Orthogonal Vision Transformer

Reference 21

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This paper cites and Oliveira, P.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method and Oliveira, P

Reference 22

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Observation a2133b1b-1914-46ee-be8e-6a7ef3a7b31d · outbound

This paper cites Convexification with bounded gap for randomly projected quadratic optimization.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method Convexification with bounded gap for randomly projected quadratic optimization

Reference 23

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Observation b722b262-79e8-4c96-af4c-1ed9bce3cc65 · outbound

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

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method Parallelizable algorithms for optimization problems with orthogonality constraints

Reference 24

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Observation 28e7bea7-768d-4520-9127-ad6521080a43 · outbound

This paper cites Handbook of Convergence Theorems for (Stochastic) Gradient Methods.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method Handbook of Convergence Theorems for (Stochastic) Gradient Methods

Reference 25

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This paper cites and Lan, G.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method and Lan, G

Reference 26

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Observation 3c8389a5-a81c-40a3-8c74-851db341af62 · outbound

This paper cites and Sambale, H.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method and Sambale, H

Reference 27

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Observation 1bec2bf2-3c6d-48a4-a961-e67406d8116f · outbound

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Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method Unresolved cited work

Reference 28

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Observation 8f45f2b5-189d-4fd8-a4b9-4f142468c291 · outbound

This paper cites Escape saddle points faster on manifolds via perturbed Riemannian stochastic recursive gradient.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method Escape saddle points faster on manifolds via perturbed Riemannian stochastic recursive gradient

Reference 29

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Observation 0743d790-c2a5-46f3-8eb2-9fe015f49f65 · outbound

This paper cites and Gao, J.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method and Gao, J

Reference 30

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Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method and Gao, J

Reference 31

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Observation a4ea1ec6-c9de-467f-8572-a1299ecb15f4 · outbound

This paper cites Nonconvex-nonconcave min-max optimization on R iemannian manifolds.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method Nonconvex-nonconcave min-max optimization on R iemannian manifolds

Reference 32

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Observation b29ee8a0-81e0-47f0-b567-8b2454193fdd · outbound

This paper cites Riemannian accelerated gradient methods via extrapolation.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method Riemannian accelerated gradient methods via extrapolation

Reference 33

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

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method Riemannian Hamiltonian methods for min-max optimization on manifolds

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:48:41.326299Z

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Observation 7a394bf0-01c0-4d87-b74a-99d3d1c63c82 · outbound

This paper cites Riemannian coordinate descent algorithms on matrix manifolds.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method Riemannian coordinate descent algorithms on matrix manifolds

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:48:41.188736Z

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Observation 99560986-2ea6-48ba-8480-0d10b18de83b · outbound

This paper cites Riemannian Optimization.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method Riemannian Optimization

Reference 36

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Observation ce7c6700-9001-4389-8ffb-3bc247e9fd1b · outbound

This paper cites K., and Takeda, A.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method K., and Takeda, A

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:48:41.100884Z

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Observation 89d48134-66df-4606-be12-fe4ef5500e8d · outbound

This paper cites Orthogonal recurrent neural networks with scaled cayley transform.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method Orthogonal recurrent neural networks with scaled cayley transform

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:48:41.088712Z

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Observation 4cceb51c-c158-4bad-b0ec-9026d7d6c6a1 · outbound

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Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method Analysis of a complex of statistical variables into principal components

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:48:41.078062Z

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Observation 9e55d486-ab28-4a48-92b7-58442691f3bd · outbound

This paper cites A R iemannian block coordinate descent method for computing the projection robust W asserstein distance.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method A R iemannian block coordinate descent method for computing the projection robust W asserstein distance

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:48:41.066704Z

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Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method A., and Absil, P.-A

Reference 41

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Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method Unresolved cited work

Reference 42

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Observation f280efd7-b0b1-49d7-8dad-85524bb13494 · outbound

This paper cites Riemannian stochastic recursive gradient algorithm.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method Riemannian stochastic recursive gradient algorithm

Reference 43

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Observation 89ea195d-a323-4b26-9462-9df74ec85c79 · outbound

This paper cites Riemannian adaptive stochastic gradient algorithms on matrix manifolds.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method Riemannian adaptive stochastic gradient algorithms on matrix manifolds

Reference 44

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Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method and Maji, P

Reference 45

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Observation e8300917-17c6-46b6-a88a-a4d8f7c1888c · outbound

This paper cites Momentum stiefel optimizer, with applications to suitably-orthogonal attention, and optimal transport.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method Momentum stiefel optimizer, with applications to suitably-orthogonal attention, and optimal transport

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:48:40.873554Z

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Observation 0a54351b-42bb-41cc-b87c-d892a6f5a082 · outbound

This paper cites A stochastic subspace approach to gradient-free optimization in high dimensions.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method A stochastic subspace approach to gradient-free optimization in high dimensions

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:48:40.862627Z

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Observation 2ac9c2ca-65bd-408e-8c58-f6b6815c84be · outbound

This paper cites Learning multiple layers of features from tiny images.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method Learning multiple layers of features from tiny images

Reference 48

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Observation f0e41df3-a3ca-4eb9-be91-10798cb1448e · outbound

This paper cites Gradient-based learning applied to document recognition.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method Gradient-based learning applied to document recognition

Reference 49

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Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method and Mart nez-Rubio, D

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:48:40.838656Z

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Observation f4250217-ec9d-4401-8280-1a822b134910 · outbound

This paper cites and Ma, S.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method and Ma, S

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:48:40.825478Z

Source-reported events for the cited work

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Observation 4d3e45ac-9f78-41af-8fbe-eff0c2485d0e · outbound

This paper cites Efficient Riemannian Optimization on the Stiefel Manifold via the Cayley Transform.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method Efficient Riemannian Optimization on the Stiefel Manifold via the Cayley Transform

Reference 52

Resolution: unresolved; no resolver link, observed 2026-08-15T20:48:39.390295Z

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Observation 66fe0ae5-c6f2-4ca9-b21c-782b962973ea · outbound

This paper cites A R iemannian alternating direction method of multipliers.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method A R iemannian alternating direction method of multipliers

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:48:40.812071Z

Source-reported events for the cited work

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Observation 107d81d9-be47-4f2f-ba63-15cd72bb0525 · outbound

This paper cites Orthogonal deep neural networks.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method Orthogonal deep neural networks

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:48:40.801523Z

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This paper cites Projection robust W asserstein distance and R iemannian optimization.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method Projection robust W asserstein distance and R iemannian optimization

Reference 55

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This paper cites Parameter-efficient orthogonal finetuning via butterfly factorization.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method Parameter-efficient orthogonal finetuning via butterfly factorization

Reference 56

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This paper cites One pass late fusion multi-view clustering.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method One pass late fusion multi-view clustering

Reference 57

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Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method Unresolved cited work

Reference 58

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This paper cites Fixed-rank matrix factorizations and R iemannian low-rank optimization.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method Fixed-rank matrix factorizations and R iemannian low-rank optimization

Reference 59

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This paper cites Block Coordinate Descent on Smooth Manifolds: Convergence Theory and Twenty-One Examples.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method Block Coordinate Descent on Smooth Manifolds: Convergence Theory and Twenty-One Examples

Reference 60

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This paper cites A., and Absil, P.-A.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method A., and Absil, P.-A

Reference 61

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This paper cites Controlling text-to-image diffusion by orthogonal finetuning.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method Controlling text-to-image diffusion by orthogonal finetuning

Reference 62

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Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method and Boumal, N

Reference 63

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Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method and Chechik, G

Reference 64

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Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method and Avron, H

Reference 65

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This paper cites J., Cason, T.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method J., Cason, T

Reference 66

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:48:40.456596Z

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This paper cites Convex functions and optimization methods on R iemannian manifolds , volume 297.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method Convex functions and optimization methods on R iemannian manifolds , volume 297

Reference 67

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:48:40.347393Z

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This paper cites Improved Differentially Private Riemannian Optimization: Fast Sampling and Variance Reduction.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method Improved Differentially Private Riemannian Optimization: Fast Sampling and Variance Reduction

Reference 68

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This paper cites Low-rank matrix completion by R iemannian optimization.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method Low-rank matrix completion by R iemannian optimization

Reference 69

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This paper cites Optimization without retraction on the random generalized S tiefel manifold.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method Optimization without retraction on the random generalized S tiefel manifold

Reference 70

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This paper cites High-dimensional probability: An introduction with applications in data science, volume 47.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method High-dimensional probability: An introduction with applications in data science, volume 47

Reference 71

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Reference 72

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This paper cites and Yin, W.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method and Yin, W

Reference 73

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:48:40.254096Z

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

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method A class of smooth exact penalty function methods for optimization problems with orthogonality constraints

Reference 74

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:48:40.243149Z

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This paper cites A Block Coordinate Descent Method for Nonsmooth Composite Optimization under Orthogonality Constraints.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method A Block Coordinate Descent Method for Nonsmooth Composite Optimization under Orthogonality Constraints

Reference 75

Resolution: verified exact; local_arxiv, observed 2026-08-15T20:48:39.813717Z

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This paper cites Riemannian SVRG: Fast stochastic optimization on Riemannian manifolds.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method Riemannian SVRG: Fast stochastic optimization on Riemannian manifolds

Reference 76

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:48:40.230511Z

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This paper cites Sion’s minimax theorem in geodesic metric spaces and a R iemannian extragradient algorithm.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method Sion’s minimax theorem in geodesic metric spaces and a R iemannian extragradient algorithm

Reference 77

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This paper cites and Shen, C.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method and Shen, C

Reference 78

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This paper cites @esa (Ref.

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method @esa (Ref

Reference 79

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Reference 80

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

Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method Infeasible Deterministic, Stochastic, and Variance-Reduction Algorithms for Optimization under Orthogonality Constraints

Reference 81

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An Embarrassingly Simple Way to Optimize Orthogonal Matrices at Scale cites this paper.

An Embarrassingly Simple Way to Optimize Orthogonal Matrices at Scale Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method

Reference 29

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LOFT: Low-Rank Orthogonal Fine-Tuning via Task-Aware Support Selection cites this paper.

LOFT: Low-Rank Orthogonal Fine-Tuning via Task-Aware Support Selection Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method

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