Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning | Paper Citation Record

Observation 3cad0dbc-7a2f-4811-9eb7-01a41e04616c · outbound

This paper cites Unitary evolution recurrent neural networks,.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning Unitary evolution recurrent neural networks,

Reference 1

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Observation 3083194b-d1cf-472e-9bde-75905f0b213a · outbound

This paper cites Riemannian approach to batch normalization,.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning Riemannian approach to batch normalization,

Reference 2

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Observation cf8da5df-94a5-4279-9422-c7ef551baa42 · outbound

This paper cites Robust optimization for non-convex objectives,.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning Robust optimization for non-convex objectives,

Reference 3

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Observation 283b87ed-8994-419b-85be-df5bd4c218a0 · outbound

This paper cites Momentum Stiefel Optimizer, with Applications to Suitably-Orthogonal Attention, and Optimal Transport,.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning Momentum Stiefel Optimizer, with Applications to Suitably-Orthogonal Attention, and Optimal Transport,

Reference 4

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This paper cites Absil, R.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning Absil, R

Reference 5

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This paper cites A feasible method for optimization with orthog- onality constraints,.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning A feasible method for optimization with orthog- onality constraints,

Reference 6

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Observation b8fd6c73-fcb1-4cc3-8db0-e60e86dbd1bd · outbound

This paper cites A brief introduction to manifold optimization,.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning A brief introduction to manifold optimization,

Reference 7

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This paper cites Boumal,An introduction to optimization on smooth manifolds.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning Boumal,An introduction to optimization on smooth manifolds

Reference 8

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Observation 69f24489-dd76-4ff4-9b3a-a09e874d67a6 · outbound

This paper cites A new first-order algorithmic framework for optimization problems with orthogonality constraints,.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning A new first-order algorithmic framework for optimization problems with orthogonality constraints,

Reference 9

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Observation 6d1d5d80-5e39-4d18-ab4d-71f7fb51f672 · outbound

This paper cites An orthogonalization-free parallelizable framework for all-electron calculations in density functional theory,.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning An orthogonalization-free parallelizable framework for all-electron calculations in density functional theory,

Reference 10

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Observation 8ef55c5b-fe92-4568-a1d1-cd82c5ecbb77 · outbound

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

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning Fast and accurate optimization on the orthogonal manifold without retraction,

Reference 11

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Observation d14c9662-170b-45d4-be09-2bcb5a508cef · outbound

This paper cites Infeasible deterministic, stochastic, and variance-reduction algorithms for optimization under orthogonality constraints,.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning Infeasible deterministic, stochastic, and variance-reduction algorithms for optimization under orthogonality constraints,

Reference 12

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Observation c7bdaf3e-28ea-4130-b09f-c445ac055953 · outbound

This paper cites Dissolving constraints for Riemannian optimization,.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning Dissolving constraints for Riemannian optimization,

Reference 13

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Observation f4618d1d-5307-4000-8a76-5a41023ab37a · outbound

This paper cites Distributed subgradient methods for multi- agent optimization,.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning Distributed subgradient methods for multi- agent optimization,

Reference 14

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Observation dc18d7ab-e909-46b2-9c49-c5d7c1d7cc30 · outbound

This paper cites EXTRA: An exact first-order algorithm for decentralized consensus optimization,.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning EXTRA: An exact first-order algorithm for decentralized consensus optimization,

Reference 15

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Observation 5fb03d83-d687-483f-9416-0c79a17ff202 · outbound

This paper cites Harnessing smoothness to accelerate distributed optimization,.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning Harnessing smoothness to accelerate distributed optimization,

Reference 16

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Observation 3a78a323-7019-45bc-8f56-b91a873be2ad · outbound

This paper cites Decentralized Riemannian gradient descent on the Stiefel manifold,.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning Decentralized Riemannian gradient descent on the Stiefel manifold,

Reference 17

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Observation 5e25775c-4da3-425a-bf86-35517b9fc72f · outbound

This paper cites Decentralized projected Riemannian gradient method for smooth optimization on compact submanifolds.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning Decentralized projected Riemannian gradient method for smooth optimization on compact submanifolds

Reference 18

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Observation 6ce99c4d-da5a-402e-b1c0-480b773c66a7 · outbound

This paper cites Language models are unsupervised multitask learners,.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning Language models are unsupervised multitask learners,

Reference 19

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Observation e21c496b-4542-4c0e-8136-136ffcd6bfa2 · outbound

This paper cites Is ChatGPT a General-Purpose Natural Language Processing Task Solver?.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning Is ChatGPT a General-Purpose Natural Language Processing Task Solver?

Reference 20

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Observation 8d520d92-5e51-4fd8-8598-d5b5b8a10233 · outbound

This paper cites Parameter-efficient transfer learning for NLP,.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning Parameter-efficient transfer learning for NLP,

Reference 21

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Observation 14004e05-942f-48ac-8e66-aebaefca92a3 · outbound

This paper cites Prefix-Tuning: Optimizing Continuous Prompts for Generation.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning Prefix-Tuning: Optimizing Continuous Prompts for Generation

Reference 22

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Observation e7441c17-07f1-4b99-bb4d-2f1783b54fd6 · outbound

This paper cites Bitfit: Simple parameter- efficient fine-tuning for transformer-based masked language-models,.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning Bitfit: Simple parameter- efficient fine-tuning for transformer-based masked language-models,

Reference 23

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Observation 065ce56e-b194-47c2-a518-e3a0ddee693a · outbound

This paper cites LoRA: Low-Rank Adaptation of Large Language Models.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning LoRA: Low-Rank Adaptation of Large Language Models

Reference 24

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Observation 5d29cb02-547c-4a7d-adb3-16ea883292b3 · outbound

This paper cites Riemannlora: A unified riemannian framework for ambiguity-free lora optimization,.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning Riemannlora: A unified riemannian framework for ambiguity-free lora optimization,

Reference 25

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Observation 1f6ea654-ce02-48de-87a2-7e67c6c31404 · outbound

This paper cites Lora meets riemannion: Muon optimizer for parametrization- independent low-rank adapters,.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning Lora meets riemannion: Muon optimizer for parametrization- independent low-rank adapters,

Reference 26

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Observation a847e352-d168-4de7-9975-cb56df86b44a · outbound

This paper cites Riemannian optimization for LoRA on the stiefel manifold,.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning Riemannian optimization for LoRA on the stiefel manifold,

Reference 27

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Observation 20a5c229-09f6-421f-af1f-862bce82055b · outbound

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

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning Adaptive budget allocation for parameter-efficient fine-tuning,

Reference 28

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Observation 2089cc76-a68d-4c1c-9dd4-ec733556e7d0 · outbound

This paper cites Sparse Low-rank Adaptation of Pre-trained Language Models.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning Sparse Low-rank Adaptation of Pre-trained Language Models

Reference 29

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Observation 54aabe61-c334-444e-abfa-4061d4bdb3e5 · outbound

This paper cites The Lottery Ticket Hypothesis: Finding Sparse, Trainable Neural Networks.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning The Lottery Ticket Hypothesis: Finding Sparse, Trainable Neural Networks

Reference 30

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Observation 58f4f13a-d7d5-4f66-a428-74a33066532f · outbound

This paper cites VeRA: Vector-based Random Matrix Adaptation.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning VeRA: Vector-based Random Matrix Adaptation

Reference 31

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Observation 3191b83b-86b5-4778-a997-c90dcee354da · outbound

This paper cites RTRMC: A Riemannian trust-region method for low-rank matrix completion,.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning RTRMC: A Riemannian trust-region method for low-rank matrix completion,

Reference 32

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Observation cc765ec6-3d59-47cd-a86d-d87d40226c4a · outbound

This paper cites Subspace evolution and transfer (SET) for low-rank matrix completion,.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning Subspace evolution and transfer (SET) for low-rank matrix completion,

Reference 33

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Observation 4ded4985-c053-4369-b3f0-ff33fb1adfdf · outbound

This paper cites A geometric approach to low- rank matrix completion,.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning A geometric approach to low- rank matrix completion,

Reference 34

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Observation 50dd7b0d-d4ef-4acd-a96d-642615d095ba · outbound

This paper cites A framework of constraint preserving update schemes for optimization on Stiefel manifold,.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning A framework of constraint preserving update schemes for optimization on Stiefel manifold,

Reference 35

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Observation db4afd39-caad-485d-8c7a-884d99258dbf · outbound

This paper cites Proximal smoothness and the lower-C2 property,.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning Proximal smoothness and the lower-C2 property,

Reference 36

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Observation fe71ce14-c6d7-4e9c-a42c-f74472a5eda8 · outbound

This paper cites The gradient projection method with armijo’s step size on manifolds,.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning The gradient projection method with armijo’s step size on manifolds,

Reference 37

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Observation 3b1edc20-dc31-4065-adba-15d8a568b280 · outbound

This paper cites Nocedal and S.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning Nocedal and S

Reference 38

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Observation 0b4f89c9-e1c7-4f14-b0b9-d5f7c095f7bf · outbound

This paper cites Optimization methods for large-scale machine learning,.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning Optimization methods for large-scale machine learning,

Reference 39

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Observation e9c28246-2186-4d73-bf2c-74b48e64d9b4 · outbound

This paper cites Decoupled Weight Decay Regularization.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning Decoupled Weight Decay Regularization

Reference 40

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Observation 81ad83d6-4c34-4277-9712-2d14b83b2a1d · outbound

This paper cites Gradient methods for convex minimization: better rates under weaker conditions.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning Gradient methods for convex minimization: better rates under weaker conditions

Reference 41

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Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning Unresolved cited work

Reference 42

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Observation 77c05d7c-a438-4a27-a753-8b11e1d67062 · outbound

This paper cites On the computation of the matrix k-th root,.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning On the computation of the matrix k-th root,

Reference 43

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Observation ba7e62d0-d23d-4420-a730-0893356d7bb7 · outbound

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

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning Global rates of convergence for nonconvex optimization on manifolds,

Reference 44

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Observation e20f6384-f53f-488a-ad08-23aa3c891868 · outbound

This paper cites On gradient descent ascent for nonconvex-concave minimax problems,.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning On gradient descent ascent for nonconvex-concave minimax problems,

Reference 45

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Observation 05d253f7-7c56-4538-a448-d0ae4357ccf2 · outbound

This paper cites Two-timescale gradient descent ascent algorithms for nonconvex minimax optimization,.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning Two-timescale gradient descent ascent algorithms for nonconvex minimax optimization,

Reference 46

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Observation 42ba3843-0124-44d8-aadb-715f635e74fc · outbound

This paper cites On the convergence of adam and beyond,.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning On the convergence of adam and beyond,

Reference 47

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Observation 492a7eac-6ae6-4ba8-b820-73127a208442 · outbound

This paper cites AdaShift: Decorrelation and convergence of adaptive learning rate methods,.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning AdaShift: Decorrelation and convergence of adaptive learning rate methods,

Reference 48

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Observation 16698914-fc50-42e7-a7b8-e6c0499e2cd7 · outbound

This paper cites Pytorch: An imperative style, high-performance deep learning library,.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning Pytorch: An imperative style, high-performance deep learning library,

Reference 49

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Observation 06ab9911-718c-4ea7-9081-8e94f956a967 · outbound

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Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning Transformers: State-of-the-Art Natural Language Processing,

Reference 50

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Observation 79f1bb75-a6c6-40db-b81f-5274843dede1 · outbound

This paper cites OpenDelta: A Plug-and-play Library for Parameter-efficient Adaptation of Pre-trained Models.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning OpenDelta: A Plug-and-play Library for Parameter-efficient Adaptation of Pre-trained Models

Reference 51

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Observation 33cbf8a9-96e0-49bd-a1dd-19f94dfdb97e · outbound

This paper cites DeBERTaV3: Improving DeBERTa using ELECTRA-Style Pre-Training with Gradient-Disentangled Embedding Sharing.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning DeBERTaV3: Improving DeBERTa using ELECTRA-Style Pre-Training with Gradient-Disentangled Embedding Sharing

Reference 52

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Observation c2eaa1ad-36d7-4836-9b26-20f3e9ae0267 · outbound

This paper cites GLUE: A Multi-Task Benchmark and Analysis Platform for Natural Language Understanding.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning GLUE: A Multi-Task Benchmark and Analysis Platform for Natural Language Understanding

Reference 53

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Observation 5a489da0-7515-4e2a-bb77-dced8d465887 · outbound

This paper cites SQuAD: 100,000+ Questions for Machine Comprehension of Text.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning SQuAD: 100,000+ Questions for Machine Comprehension of Text

Reference 54

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Observation 97e42959-9bd4-46dc-9cbb-d8e4f677c646 · outbound

This paper cites Know What You Don't Know: Unanswerable Questions for SQuAD.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning Know What You Don't Know: Unanswerable Questions for SQuAD

Reference 55

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Observation 25c31003-ca6b-47b0-ba3c-37a9068f5f8e · outbound

This paper cites The E2E Dataset: New Challenges For End-to-End Generation.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning The E2E Dataset: New Challenges For End-to-End Generation

Reference 56

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Observation 05de9ac1-8083-44ea-ace7-17d40ecaee67 · outbound

This paper cites The llama 3 herd of models,.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning The llama 3 herd of models,

Reference 57

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Observation 0766bda1-1b31-40da-972e-0375d1af7d72 · outbound

This paper cites Training Verifiers to Solve Math Word Problems.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning Training Verifiers to Solve Math Word Problems

Reference 58

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Observation 7a5c488d-75b2-4ec7-bb34-720b204ac173 · outbound

This paper cites Optimization without retraction on the random generalized stiefel manifold,.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning Optimization without retraction on the random generalized stiefel manifold,

Reference 59

Resolution: unresolved; no resolver link, observed 2026-08-01T03:00:05.768853Z

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Observation c246a93c-476e-4180-a827-475315a28553 · outbound

This paper cites an unresolved cited work.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning Unresolved cited work

Reference 61

Resolution: unresolved; no resolver link, observed 2026-08-01T03:00:05.825008Z

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Observation ead18bc1-8f03-47ba-acd1-450b144edf6c · outbound

This paper cites an unresolved cited work.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning Unresolved cited work

Reference 62

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Observation d4d3af4c-48bd-4841-aa94-130deaa6f058 · outbound

This paper cites an unresolved cited work.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning Unresolved cited work

Reference 63

Resolution: unresolved; no resolver link, observed 2026-08-01T03:00:05.925391Z

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Observation f4fb0769-f6e3-4987-8a59-af44e9005b20 · outbound

This paper cites an unresolved cited work.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning Unresolved cited work

Reference 64

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Observation bc713cee-5aed-4108-b876-59f2419c37d8 · outbound

This paper cites KX k=1 ∥Xk − ¯Xk∥2 # ≤60E.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning KX k=1 ∥Xk − ¯Xk∥2 # ≤60E

Reference 65

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Observation 3ebe7614-9baa-4b6c-aecf-5128d67eabca · outbound

This paper cites 6083–6093.

Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning 6083–6093

Reference 119

Resolution: unresolved; no resolver link, observed 2026-08-01T03:00:03.996363Z

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