Spectral-factorized Positive-definite Curvature Learning for NN Training | Paper Citation Record

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This paper cites write newline.

Spectral-factorized Positive-definite Curvature Learning for NN Training write newline

Reference 1

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This paper cites Optimization algorithms on matrix manifolds.

Spectral-factorized Positive-definite Curvature Learning for NN Training Optimization algorithms on matrix manifolds

Reference 2

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This paper cites Efficient full-matrix adaptive regularization.

Spectral-factorized Positive-definite Curvature Learning for NN Training Efficient full-matrix adaptive regularization

Reference 3

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This paper cites Learning rate grafting: Transferability of optimizer tuning.

Spectral-factorized Positive-definite Curvature Learning for NN Training Learning rate grafting: Transferability of optimizer tuning

Reference 4

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This paper cites Natural gradient works efficiently in learning.

Spectral-factorized Positive-definite Curvature Learning for NN Training Natural gradient works efficiently in learning

Reference 5

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This paper cites Information geometry and its applications, volume 194.

Spectral-factorized Positive-definite Curvature Learning for NN Training Information geometry and its applications, volume 194

Reference 6

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This paper cites Scalable Second Order Optimization for Deep Learning.

Spectral-factorized Positive-definite Curvature Learning for NN Training Scalable Second Order Optimization for Deep Learning

Reference 7

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This paper cites Old Optimizer, New Norm: An Anthology.

Spectral-factorized Positive-definite Curvature Learning for NN Training Old Optimizer, New Norm: An Anthology

Reference 8

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This paper cites Better plain ViT baselines for ImageNet-1k.

Spectral-factorized Positive-definite Curvature Learning for NN Training Better plain ViT baselines for ImageNet-1k

Reference 9

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This paper cites Manopt, a matlab toolbox for optimization on manifolds.

Spectral-factorized Positive-definite Curvature Learning for NN Training Manopt, a matlab toolbox for optimization on manifolds

Reference 10

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This paper cites S., Sra, S., and Tropp, J.

Spectral-factorized Positive-definite Curvature Learning for NN Training S., Sra, S., and Tropp, J

Reference 11

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This paper cites Closing the generalization gap of adaptive gradient methods in training deep neural networks.

Spectral-factorized Positive-definite Curvature Learning for NN Training Closing the generalization gap of adaptive gradient methods in training deep neural networks

Reference 12

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This paper cites Symbolic Discovery of Optimization Algorithms.

Spectral-factorized Positive-definite Curvature Learning for NN Training Symbolic Discovery of Optimization Algorithms

Reference 13

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This paper cites Z., Huang, J., Reich, S., and Stuart, A.

Spectral-factorized Positive-definite Curvature Learning for NN Training Z., Huang, J., Reich, S., and Stuart, A

Reference 14

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Observation 262b1a58-0d27-4111-bb45-9f3713acef7d · outbound

This paper cites On Empirical Comparisons of Optimizers for Deep Learning.

Spectral-factorized Positive-definite Curvature Learning for NN Training On Empirical Comparisons of Optimizers for Deep Learning

Reference 15

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This paper cites and Mehta, H.

Spectral-factorized Positive-definite Curvature Learning for NN Training and Mehta, H

Reference 16

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This paper cites Adaptive subgradient methods for online learning and stochastic optimization.

Spectral-factorized Positive-definite Curvature Learning for NN Training Adaptive subgradient methods for online learning and stochastic optimization

Reference 17

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This paper cites Proposal of distance-weighted exponential natural evolution strategies.

Spectral-factorized Positive-definite Curvature Learning for NN Training Proposal of distance-weighted exponential natural evolution strategies

Reference 18

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This paper cites Exponential natural evolution strategies.

Spectral-factorized Positive-definite Curvature Learning for NN Training Exponential natural evolution strategies

Reference 19

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This paper cites Natural gradient variational bayes without fisher matrix analytic calculation and its inversion.

Spectral-factorized Positive-definite Curvature Learning for NN Training Natural gradient variational bayes without fisher matrix analytic calculation and its inversion

Reference 20

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This paper cites Shampoo: Preconditioned Stochastic Tensor Optimization.

Spectral-factorized Positive-definite Curvature Learning for NN Training Shampoo: Preconditioned Stochastic Tensor Optimization

Reference 21

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Observation 88f86604-c7b3-4cdf-8260-90fe4f59457c · outbound

This paper cites K., and Gao, J.

Spectral-factorized Positive-definite Curvature Learning for NN Training K., and Gao, J

Reference 22

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Spectral-factorized Positive-definite Curvature Learning for NN Training Unresolved cited work

Reference 23

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This paper cites NanoGPT (124M) quality in 8.2 minutes.

Spectral-factorized Positive-definite Curvature Learning for NN Training NanoGPT (124M) quality in 8.2 minutes

Reference 24

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Spectral-factorized Positive-definite Curvature Learning for NN Training Unresolved cited work

Reference 25

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This paper cites E., Nielsen, D., Tangkaratt, V., Lin, W., Gal, Y., and Srivastava, A.

Spectral-factorized Positive-definite Curvature Learning for NN Training E., Nielsen, D., Tangkaratt, V., Lin, W., Gal, Y., and Srivastava, A

Reference 26

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Spectral-factorized Positive-definite Curvature Learning for NN Training Unresolved cited work

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

Spectral-factorized Positive-definite Curvature Learning for NN Training Momentum Stiefel Optimizer, with Applications to Suitably-Orthogonal Attention, and Optimal Transport

Reference 28

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Observation cbfbca9e-dfc5-4ef3-a529-b9b8bbd460f7 · outbound

This paper cites Neumann Optimizer: A Practical Optimization Algorithm for Deep Neural Networks.

Spectral-factorized Positive-definite Curvature Learning for NN Training Neumann Optimizer: A Practical Optimization Algorithm for Deep Neural Networks

Reference 29

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Spectral-factorized Positive-definite Curvature Learning for NN Training Unresolved cited work

Reference 30

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

Spectral-factorized Positive-definite Curvature Learning for NN Training Efficient Riemannian Optimization on the Stiefel Manifold via the Cayley Transform

Reference 31

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This paper cites Preconditioned stochastic gradient descent.

Spectral-factorized Positive-definite Curvature Learning for NN Training Preconditioned stochastic gradient descent

Reference 32

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This paper cites E., and Schmidt, M.

Spectral-factorized Positive-definite Curvature Learning for NN Training E., and Schmidt, M

Reference 33

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Spectral-factorized Positive-definite Curvature Learning for NN Training Unresolved cited work

Reference 34

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Spectral-factorized Positive-definite Curvature Learning for NN Training M., and Schmidt, M

Reference 35

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Spectral-factorized Positive-definite Curvature Learning for NN Training E., and Schmidt, M

Reference 36

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Spectral-factorized Positive-definite Curvature Learning for NN Training E., and Makhzani, A

Reference 37

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This paper cites Sophia: A Scalable Stochastic Second-order Optimizer for Language Model Pre-training.

Spectral-factorized Positive-definite Curvature Learning for NN Training Sophia: A Scalable Stochastic Second-order Optimizer for Language Model Pre-training

Reference 38

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Spectral-factorized Positive-definite Curvature Learning for NN Training M., Paull, L., Xiong, L., Song, L., and Weller, A

Reference 39

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This paper cites Optimizing millions of hyperparameters by implicit differentiation.

Spectral-factorized Positive-definite Curvature Learning for NN Training Optimizing millions of hyperparameters by implicit differentiation

Reference 40

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This paper cites Decoupled Weight Decay Regularization.

Spectral-factorized Positive-definite Curvature Learning for NN Training Decoupled Weight Decay Regularization

Reference 41

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This paper cites Lecture Notes: Mathematical Modelling of DNA.

Spectral-factorized Positive-definite Curvature Learning for NN Training Lecture Notes: Mathematical Modelling of DNA

Reference 42

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Spectral-factorized Positive-definite Curvature Learning for NN Training Unresolved cited work

Reference 43

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Spectral-factorized Positive-definite Curvature Learning for NN Training and Grosse, R

Reference 44

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This paper cites Mixed precision training.

Spectral-factorized Positive-definite Curvature Learning for NN Training Mixed precision training

Reference 45

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Spectral-factorized Positive-definite Curvature Learning for NN Training and Archambeau, C

Reference 46

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Reference 47

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Spectral-factorized Positive-definite Curvature Learning for NN Training B., Pedersen, M

Reference 48

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Observation c1a29769-998a-4b1b-98f4-5188fa456bef · outbound

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

Spectral-factorized Positive-definite Curvature Learning for NN Training Controlling text-to-image diffusion by orthogonal finetuning

Reference 49

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Spectral-factorized Positive-definite Curvature Learning for NN Training and Goldfarb, D

Reference 50

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Observation d4d9bc23-e920-4c46-a91a-4351ef49f056 · outbound

This paper cites Topmoumoute online natural gradient algorithm.

Spectral-factorized Positive-definite Curvature Learning for NN Training Topmoumoute online natural gradient algorithm

Reference 51

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Observation 0bed36cc-740f-4e70-a97f-9e59a8bb8767 · outbound

This paper cites Hiera: A hierarchical vision transformer without the bells-and-whistles.

Spectral-factorized Positive-definite Curvature Learning for NN Training Hiera: A hierarchical vision transformer without the bells-and-whistles

Reference 52

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Observation 25ae04b8-a9d5-4a3b-8dc3-e035189877dd · outbound

This paper cites Natural Gradients in Practice: Non-Conjugate Variational Inference in Gaussian Process Models.

Spectral-factorized Positive-definite Curvature Learning for NN Training Natural Gradients in Practice: Non-Conjugate Variational Inference in Gaussian Process Models

Reference 53

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Observation 94265aaf-654f-43e5-9518-debed1819096 · outbound

This paper cites Variational Learning is Effective for Large Deep Networks.

Spectral-factorized Positive-definite Curvature Learning for NN Training Variational Learning is Effective for Large Deep Networks

Reference 54

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This paper cites A Distributed Data-Parallel PyTorch Implementation of the Distributed Shampoo Optimizer for Training Neural Networks At-Scale.

Spectral-factorized Positive-definite Curvature Learning for NN Training A Distributed Data-Parallel PyTorch Implementation of the Distributed Shampoo Optimizer for Training Neural Networks At-Scale

Reference 55

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Reference 56

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Spectral-factorized Positive-definite Curvature Learning for NN Training Analytic natural gradient updates for Cholesky factor in Gaussian variational approximation

Reference 57

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Spectral-factorized Positive-definite Curvature Learning for NN Training and Hinton, G

Reference 58

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Observation bf389409-905e-4f2b-a8f6-243ac71fec16 · outbound

This paper cites H., and Nguyen, D.

Spectral-factorized Positive-definite Curvature Learning for NN Training H., and Nguyen, D

Reference 59

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T16:15:22.855781Z

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Spectral-factorized Positive-definite Curvature Learning for NN Training Unresolved cited work

Reference 60

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Observation fbacb41b-212c-40d6-99bf-708bc6ee40dc · outbound

This paper cites Invariance properties of the natural gradient in overparametrised systems.

Spectral-factorized Positive-definite Curvature Learning for NN Training Invariance properties of the natural gradient in overparametrised systems

Reference 61

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T16:15:22.827737Z

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Observation 44adf111-4888-4f8c-8bff-40c19ff7da16 · outbound

This paper cites SOAP: Improving and Stabilizing Shampoo using Adam.

Spectral-factorized Positive-definite Curvature Learning for NN Training SOAP: Improving and Stabilizing Shampoo using Adam

Reference 62

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Observation 5d049ff4-1172-42c2-9bef-ab7c8f335e17 · outbound

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Spectral-factorized Positive-definite Curvature Learning for NN Training Natural evolution strategies

Reference 63

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T16:15:22.813559Z

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Observation c2691899-b9fb-41bb-bee3-a8b33a115cd4 · outbound

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Spectral-factorized Positive-definite Curvature Learning for NN Training Unresolved cited work

Reference 64

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Observation bf0e4f03-f66b-4ce9-957c-5496a186889b · outbound

This paper cites J., Chun, S., Choe, J., and Yoo, Y.

Spectral-factorized Positive-definite Curvature Learning for NN Training J., Chun, S., Choe, J., and Yoo, Y

Reference 65

Resolution: unresolved; no resolver link, observed 2026-08-08T16:15:07.379246Z

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Unavailable: canonical work link unavailable.

Observation aaa2e5af-25a1-43c2-acb9-f5c52582ef4d · outbound

This paper cites Noisy natural gradient as variational inference.

Spectral-factorized Positive-definite Curvature Learning for NN Training Noisy natural gradient as variational inference

Reference 66

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T16:15:22.782559Z

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Observation 1a6bc752-0ecb-4ebb-8765-4616954ef9ef · outbound

This paper cites mixup: Beyond Empirical Risk Minimization.

Spectral-factorized Positive-definite Curvature Learning for NN Training mixup: Beyond Empirical Risk Minimization

Reference 67

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Observation 1b8b188b-e946-4551-9ced-bbb0eb046cee · outbound

This paper cites P., Veit, A., Kim, S., Reddi, S., Kumar, S., and Sra, S.

Spectral-factorized Positive-definite Curvature Learning for NN Training P., Veit, A., Kim, S., Reddi, S., Kumar, S., and Sra, S

Reference 68

Resolution: unresolved; no resolver link, observed 2026-08-08T16:15:07.393216Z

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Observation f01a9f2a-5a2d-4ef5-a118-3ce50a59f375 · outbound

This paper cites Why Transformers Need Adam: A Hessian Perspective.

Spectral-factorized Positive-definite Curvature Learning for NN Training Why Transformers Need Adam: A Hessian Perspective

Reference 69

Resolution: unresolved; no resolver link, observed 2026-08-08T16:15:07.397282Z

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Observation d5997082-c6bd-435a-b92c-8f8bae59f180 · outbound

This paper cites @esa (Ref.

Spectral-factorized Positive-definite Curvature Learning for NN Training @esa (Ref

Reference 70

Resolution: unresolved; no resolver link, observed 2026-08-08T16:15:07.402681Z

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Unavailable: canonical work link unavailable.

Observation 6c5288ed-3836-4da0-8208-9d84eabb415d · outbound

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Spectral-factorized Positive-definite Curvature Learning for NN Training Unresolved cited work

Reference 71

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Observation 33f15f5c-6b30-48d6-8348-f68aa9ea2d46 · outbound

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Spectral-factorized Positive-definite Curvature Learning for NN Training Unresolved cited work

Reference 72

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