ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum | Paper Citation Record

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This paper cites Absil, R.

ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum Absil, R

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This paper cites Geometric means in a novel vector space structure on symmetric positive-definite matrices.SIAM Journal on Matrix Analysis and Applications, 29(1):328–347, Jan 2007.

ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum Geometric means in a novel vector space structure on symmetric positive-definite matrices.SIAM Journal on Matrix Analysis and Applications, 29(1):328–347, Jan 2007

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This paper cites Bartlett and Shahar Mendelson.

ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum Bartlett and Shahar Mendelson

Reference 3

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This paper cites Bartlett, Dylan J.

ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum Bartlett, Dylan J

Reference 4

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This paper cites Riemannian adaptive optimization methods.

ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum Riemannian adaptive optimization methods

Reference 5

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This paper cites Springer, 1997.

ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum Springer, 1997

Reference 6

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This paper cites Princeton University Press, 2007.

ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum Princeton University Press, 2007

Reference 7

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This paper cites Blackard and Denis J.

ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum Blackard and Denis J

Reference 8

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This paper cites Stochastic gradient descent on riemannian manifolds.IEEE Transactions on Automatic Control, 58(9):2217–2229, 2013.

ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum Stochastic gradient descent on riemannian manifolds.IEEE Transactions on Automatic Control, 58(9):2217–2229, 2013

Reference 9

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This paper cites Cambridge University Press, Mar 2023.

ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum Cambridge University Press, Mar 2023

Reference 10

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Observation f72ae3a0-8fd2-4cef-a359-dce6ae025e44 · outbound

This paper cites Learning phrase representations using rnn encoder– decoder for statistical machine translation.

ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum Learning phrase representations using rnn encoder– decoder for statistical machine translation

Reference 11

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This paper cites Modeling wine preferences by data mining from physicochemical properties.Decision Support Systems, 47(4):547–553, 2009.

ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum Modeling wine preferences by data mining from physicochemical properties.Decision Support Systems, 47(4):547–553, 2009

Reference 12

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This paper cites Uci machine learning repository, 2017.

ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum Uci machine learning repository, 2017

Reference 13

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Observation e0ce5653-2317-4b8b-9731-0f2e2d7b517e · outbound

This paper cites Adaptive subgradient methods for online learning and stochastic optimization.Journal of Machine Learning Research, 12:2121–2159, 2011.

ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum Adaptive subgradient methods for online learning and stochastic optimization.Journal of Machine Learning Research, 12:2121–2159, 2011

Reference 14

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This paper cites Understanding the difficulty of training deep feedforward neural networks.

ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum Understanding the difficulty of training deep feedforward neural networks

Reference 15

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This paper cites Golub and Charles F.

ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum Golub and Charles F

Reference 16

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This paper cites Shampoo: Preconditioned stochastic tensor optimization.

ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum Shampoo: Preconditioned stochastic tensor optimization

Reference 17

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This paper cites Train faster, generalize better: Stability of stochastic gradient descent.

ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum Train faster, generalize better: Stability of stochastic gradient descent

Reference 18

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Observation 6b3312ac-0b32-48bd-a073-62b0b5d6182d · outbound

This paper cites Delving deep into rectifiers: Surpassing human-level performance on imagenet classification.

ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum Delving deep into rectifiers: Surpassing human-level performance on imagenet classification

Reference 19

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This paper cites Deep residual learning for image recognition.

ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum Deep residual learning for image recognition

Reference 20

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Observation d716e01d-31a2-4ffe-a8dd-b2ce7729b800 · outbound

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

ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum Orthogonal recurrent neural networks with scaled cayley transform

Reference 21

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Observation bb1d9ccc-0b4d-44ca-9150-285253fe0f0c · outbound

This paper cites Higham.Functions of Matrices: Theory and Computation.

ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum Higham.Functions of Matrices: Theory and Computation

Reference 22

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Observation 99698ae2-729f-4f5c-9086-d033e645c236 · outbound

This paper cites Long short-term memory.Neural Computation, 9 (8):1735–1780, 1997.

ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum Long short-term memory.Neural Computation, 9 (8):1735–1780, 1997

Reference 23

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Observation e13fce41-6553-4379-b412-98071f098cee · outbound

This paper cites Orthogonal Weight Normalization: Solution to Optimization over Multiple Dependent Stiefel Manifolds in Deep Neural Networks.

ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum Orthogonal Weight Normalization: Solution to Optimization over Multiple Dependent Stiefel Manifolds in Deep Neural Networks

Reference 24

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This paper cites Batch normalization: Accelerating deep network training by reducing internal covariate shift.

ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum Batch normalization: Accelerating deep network training by reducing internal covariate shift

Reference 25

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Observation 35e1a6dd-54ab-4683-a6fb-c1caae6cd467 · outbound

This paper cites Gated Orthogonal Recurrent Units: On Learning to Forget.

ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum Gated Orthogonal Recurrent Units: On Learning to Forget

Reference 26

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This paper cites Muon: An optimizer for hidden layers in neural networks.

ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum Muon: An optimizer for hidden layers in neural networks

Reference 27

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ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum Unresolved cited work

Reference 28

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Observation da224afa-deca-41bb-8f3b-af4d92fe695d · outbound

This paper cites Adam: A Method for Stochastic Optimization.

ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum Adam: A Method for Stochastic Optimization

Reference 29

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Observation 5cfb018d-295b-461a-a75e-2f4b02d3b561 · outbound

This paper cites Geoopt: Riemannian Optimization in PyTorch.

ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum Geoopt: Riemannian Optimization in PyTorch

Reference 30

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This paper cites Adult data set, 1996.

ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum Adult data set, 1996

Reference 31

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

ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum Learning multiple layers of features from tiny images

Reference 32

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This paper cites Gradient-based learning applied to document recognition.Proceedings of the IEEE, 86(11):2278–2324, 1998.

ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum Gradient-based learning applied to document recognition.Proceedings of the IEEE, 86(11):2278–2324, 1998

Reference 33

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This paper cites Trivializations for Gradient-Based Optimization on Manifolds.

ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum Trivializations for Gradient-Based Optimization on Manifolds

Reference 34

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This paper cites Intrinsic Muon: Spectral Optimization on Riemannian Matrix Manifolds.

ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum Intrinsic Muon: Spectral Optimization on Riemannian Matrix Manifolds

Reference 35

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This paper cites Decoupled weight decay regularization.

ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum Decoupled weight decay regularization

Reference 36

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This paper cites Pointer Sentinel Mixture Models.

ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum Pointer Sentinel Mixture Models

Reference 37

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This paper cites Efficient orthogonal parametrisation of recurrent neural networks using householder reflections.

ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum Efficient orthogonal parametrisation of recurrent neural networks using householder reflections

Reference 38

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This paper cites All you need is a good init.

ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum All you need is a good init

Reference 39

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This paper cites Spectral Normalization for Generative Adversarial Networks.

ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum Spectral Normalization for Generative Adversarial Networks

Reference 40

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This paper cites A differential geometric approach to the geometric mean of symmetric positive- definite matrices.SIAM Journal on Matrix Analysis and Applications, 26(3):735–747, 2005.

ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum A differential geometric approach to the geometric mean of symmetric positive- definite matrices.SIAM Journal on Matrix Analysis and Applications, 26(3):735–747, 2005

Reference 41

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ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum Unresolved cited work

Reference 42

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Observation e51f0964-e95a-4d18-9d33-af929c1e1de5 · outbound

This paper cites A riemannian framework for tensor com- puting.International Journal of Computer Vision, 66(1):41–66, Jan 2006.

ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum A riemannian framework for tensor com- puting.International Journal of Computer Vision, 66(1):41–66, Jan 2006

Reference 43

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This paper cites Schoenholz, and Surya Ganguli.

ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum Schoenholz, and Surya Ganguli

Reference 44

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This paper cites Reddi, Satyen Kale, and Sanjiv Kumar.

ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum Reddi, Satyen Kale, and Sanjiv Kumar

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Observation b14e9e8b-d2b6-4a98-9016-ab4ea6440596 · outbound

This paper cites A stochastic approximation method.The Annals of Mathematical Statistics, 22(3):400–407, 1951.

ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum A stochastic approximation method.The Annals of Mathematical Statistics, 22(3):400–407, 1951

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Observation 5fa49d71-63b7-47f4-89e0-90fac4a4bf30 · outbound

This paper cites The perceptron: A probabilistic model for information storage and organiza- tion in the brain.Psychological Review, 65(6):386–408, 1958.

ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum The perceptron: A probabilistic model for information storage and organiza- tion in the brain.Psychological Review, 65(6):386–408, 1958

Reference 47

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This paper cites Rumelhart, Geoffrey E.

ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum Rumelhart, Geoffrey E

Reference 48

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ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum Unresolved cited work

Reference 49

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This paper cites Saxe, James L.

ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum Saxe, James L

Reference 50

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This paper cites Dropout: A simple way to prevent neural networks from overfitting.Journal of Machine Learning Research, 15(56):1929–1958, 2014.

ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum Dropout: A simple way to prevent neural networks from overfitting.Journal of Machine Learning Research, 15(56):1929–1958, 2014

Reference 51

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This paper cites Attention Is All You Need.

ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum Attention Is All You Need

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This paper cites On orthogonality and learning recurrent networks with long term dependencies.

ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum On orthogonality and learning recurrent networks with long term dependencies

Reference 53

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This paper cites A feasible method for optimization with orthogonality constraints.

ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum A feasible method for optimization with orthogonality constraints

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This paper cites Full-capacity unitary recurrent neural networks.

ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum Full-capacity unitary recurrent neural networks

Reference 55

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This paper cites Fashion-MNIST: a Novel Image Dataset for Benchmarking Machine Learning Algorithms.

ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum Fashion-MNIST: a Novel Image Dataset for Benchmarking Machine Learning Algorithms

Reference 56

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