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Cheap Orthogonal Constraints in Neural Networks: A Simple
  Parametrization of the Orthogonal and Unitary Group

Cheap Orthogonal Constraints in Neural Networks: A Simple Parametrization of the Orthogonal and Unitary Group

24 January 2019
Mario Lezcano Casado
David Martínez-Rubio
ArXivPDFHTML

Papers citing "Cheap Orthogonal Constraints in Neural Networks: A Simple Parametrization of the Orthogonal and Unitary Group"

39 / 39 papers shown
Title
Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method
Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method
Andi Han
Pierre-Louis Poirion
Akiko Takeda
0
0
0
18 May 2025
Compact Recurrent Transformer with Persistent Memory
Compact Recurrent Transformer with Persistent Memory
Edison Mucllari
Z. Daniels
David C. Zhang
Qiang Ye
CLL
VLM
49
0
0
02 May 2025
SpinQuant: LLM quantization with learned rotations
SpinQuant: LLM quantization with learned rotations
Zechun Liu
Changsheng Zhao
Igor Fedorov
Bilge Soran
Dhruv Choudhary
Raghuraman Krishnamoorthi
Vikas Chandra
Yuandong Tian
Tijmen Blankevoort
MQ
137
84
0
21 Feb 2025
HadamRNN: Binary and Sparse Ternary Orthogonal RNNs
HadamRNN: Binary and Sparse Ternary Orthogonal RNNs
Armand Foucault
Franck Mamalet
François Malgouyres
MQ
74
0
0
28 Jan 2025
Graph Unitary Message Passing
Graph Unitary Message Passing
Haiquan Qiu
Yatao Bian
Quanming Yao
37
2
0
17 Mar 2024
Get the Best of Both Worlds: Improving Accuracy and Transferability by
  Grassmann Class Representation
Get the Best of Both Worlds: Improving Accuracy and Transferability by Grassmann Class Representation
Haoqi Wang
Zhizhong Li
Wayne Zhang
20
2
0
03 Aug 2023
Robust low-rank training via approximate orthonormal constraints
Robust low-rank training via approximate orthonormal constraints
Dayana Savostianova
Emanuele Zangrando
Gianluca Ceruti
Francesco Tudisco
24
9
0
02 Jun 2023
Convex optimization over a probability simplex
Convex optimization over a probability simplex
James Chok
G. Vasil
25
2
0
15 May 2023
Adaptive-saturated RNN: Remember more with less instability
Adaptive-saturated RNN: Remember more with less instability
Khoi Minh Nguyen-Duy
Quang-Cuong Pham
B. T. Nguyen
ODL
15
1
0
24 Apr 2023
A Survey of Geometric Optimization for Deep Learning: From Euclidean
  Space to Riemannian Manifold
A Survey of Geometric Optimization for Deep Learning: From Euclidean Space to Riemannian Manifold
Yanhong Fei
Xian Wei
Yingjie Liu
Zhengyu Li
Mingsong Chen
28
6
0
16 Feb 2023
Multi-View Independent Component Analysis with Shared and Individual
  Sources
Multi-View Independent Component Analysis with Shared and Individual Sources
T. Pandeva
Patrick Forré
CML
15
5
0
05 Oct 2022
Homotopy-based training of NeuralODEs for accurate dynamics discovery
Homotopy-based training of NeuralODEs for accurate dynamics discovery
Joon-Hyuk Ko
Hankyul Koh
Nojun Park
W. Jhe
46
8
0
04 Oct 2022
Random orthogonal additive filters: a solution to the
  vanishing/exploding gradient of deep neural networks
Random orthogonal additive filters: a solution to the vanishing/exploding gradient of deep neural networks
Andrea Ceni
ODL
23
3
0
03 Oct 2022
Entangled Residual Mappings
Entangled Residual Mappings
Mathias Lechner
Ramin Hasani
Z. Babaiee
Radu Grosu
Daniela Rus
T. Henzinger
Sepp Hochreiter
11
4
0
02 Jun 2022
Feedback Gradient Descent: Efficient and Stable Optimization with
  Orthogonality for DNNs
Feedback Gradient Descent: Efficient and Stable Optimization with Orthogonality for DNNs
Fanchen Bu
D. Chang
28
6
0
12 May 2022
Path Development Network with Finite-dimensional Lie Group
  Representation
Path Development Network with Finite-dimensional Lie Group Representation
Han Lou
Siran Li
Hao Ni
18
7
0
02 Apr 2022
Subspace-based Representation and Learning for Phonotactic Spoken
  Language Recognition
Subspace-based Representation and Learning for Phonotactic Spoken Language Recognition
Hung-Shin Lee
Yu Tsao
Shyh-Kang Jeng
Hsin-Min Wang
20
9
0
28 Mar 2022
projUNN: efficient method for training deep networks with unitary
  matrices
projUNN: efficient method for training deep networks with unitary matrices
B. Kiani
Randall Balestriero
Yann LeCun
S. Lloyd
43
32
0
10 Mar 2022
Givens Coordinate Descent Methods for Rotation Matrix Learning in
  Trainable Embedding Indexes
Givens Coordinate Descent Methods for Rotation Matrix Learning in Trainable Embedding Indexes
Yunjiang Jiang
Han Zhang
Yiming Qiu
Yun Xiao
Bo Long
Wen-Yun Yang
19
6
0
09 Mar 2022
O-ViT: Orthogonal Vision Transformer
O-ViT: Orthogonal Vision Transformer
Yanhong Fei
Yingjie Liu
Xian Wei
Mingsong Chen
ViT
13
8
0
28 Jan 2022
Generalization Error Bounds for Iterative Recovery Algorithms Unfolded
  as Neural Networks
Generalization Error Bounds for Iterative Recovery Algorithms Unfolded as Neural Networks
Ekkehard Schnoor
Arash Behboodi
Holger Rauhut
18
13
0
08 Dec 2021
Target Propagation via Regularized Inversion
Target Propagation via Regularized Inversion
Vincent Roulet
Zaïd Harchaoui
BDL
AAML
19
4
0
02 Dec 2021
Efficiently Modeling Long Sequences with Structured State Spaces
Efficiently Modeling Long Sequences with Structured State Spaces
Albert Gu
Karan Goel
Christopher Ré
52
1,665
0
31 Oct 2021
Understanding Dimensional Collapse in Contrastive Self-supervised
  Learning
Understanding Dimensional Collapse in Contrastive Self-supervised Learning
Li Jing
Pascal Vincent
Yann LeCun
Yuandong Tian
SSL
25
338
0
18 Oct 2021
Existence, Stability and Scalability of Orthogonal Convolutional Neural
  Networks
Existence, Stability and Scalability of Orthogonal Convolutional Neural Networks
E. M. Achour
Franccois Malgouyres
Franck Mamalet
16
20
0
12 Aug 2021
Coordinate descent on the orthogonal group for recurrent neural network
  training
Coordinate descent on the orthogonal group for recurrent neural network training
E. Massart
V. Abrol
34
10
0
30 Jul 2021
RNNs of RNNs: Recursive Construction of Stable Assemblies of Recurrent
  Neural Networks
RNNs of RNNs: Recursive Construction of Stable Assemblies of Recurrent Neural Networks
L. Kozachkov
Michaela Ennis
Jean-Jacques E. Slotine
22
18
0
16 Jun 2021
RotoGrad: Gradient Homogenization in Multitask Learning
RotoGrad: Gradient Homogenization in Multitask Learning
Adrián Javaloy
Isabel Valera
21
86
0
03 Mar 2021
Coupled Oscillatory Recurrent Neural Network (coRNN): An accurate and
  (gradient) stable architecture for learning long time dependencies
Coupled Oscillatory Recurrent Neural Network (coRNN): An accurate and (gradient) stable architecture for learning long time dependencies
T. Konstantin Rusch
Siddhartha Mishra
19
89
0
02 Oct 2020
Sampling using $SU(N)$ gauge equivariant flows
Sampling using SU(N)SU(N)SU(N) gauge equivariant flows
D. Boyda
G. Kanwar
S. Racanière
Danilo Jimenez Rezende
M. S. Albergo
Kyle Cranmer
D. Hackett
P. Shanahan
25
127
0
12 Aug 2020
Deep Isometric Learning for Visual Recognition
Deep Isometric Learning for Visual Recognition
Haozhi Qi
Chong You
Xinyu Wang
Yi Ma
Jitendra Malik
VLM
30
53
0
30 Jun 2020
Recurrent Quantum Neural Networks
Recurrent Quantum Neural Networks
Johannes Bausch
21
151
0
25 Jun 2020
Lipschitz Recurrent Neural Networks
Lipschitz Recurrent Neural Networks
N. Benjamin Erichson
Omri Azencot
A. Queiruga
Liam Hodgkinson
Michael W. Mahoney
30
107
0
22 Jun 2020
Concept Whitening for Interpretable Image Recognition
Concept Whitening for Interpretable Image Recognition
Zhi Chen
Yijie Bei
Cynthia Rudin
FAtt
31
314
0
05 Feb 2020
Efficient Riemannian Optimization on the Stiefel Manifold via the Cayley
  Transform
Efficient Riemannian Optimization on the Stiefel Manifold via the Cayley Transform
Jun Li
Fuxin Li
S. Todorovic
24
102
0
04 Feb 2020
Fine-grained Optimization of Deep Neural Networks
Fine-grained Optimization of Deep Neural Networks
Mete Ozay
ODL
14
1
0
22 May 2019
NEU: A Meta-Algorithm for Universal UAP-Invariant Feature Representation
NEU: A Meta-Algorithm for Universal UAP-Invariant Feature Representation
Anastasis Kratsios
Cody B. Hyndman
OOD
25
17
0
31 Aug 2018
Optimization on Submanifolds of Convolution Kernels in CNNs
Optimization on Submanifolds of Convolution Kernels in CNNs
Mete Ozay
Takayuki Okatani
48
46
0
22 Oct 2016
Learning Unitary Operators with Help From u(n)
Learning Unitary Operators with Help From u(n)
Stephanie L. Hyland
Gunnar Rätsch
94
41
0
17 Jul 2016
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