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Stable Architectures for Deep Neural Networks

Stable Architectures for Deep Neural Networks

9 May 2017
E. Haber
Lars Ruthotto
ArXivPDFHTML

Papers citing "Stable Architectures for Deep Neural Networks"

50 / 143 papers shown
Title
IM-BERT: Enhancing Robustness of BERT through the Implicit Euler Method
IM-BERT: Enhancing Robustness of BERT through the Implicit Euler Method
Mihyeon Kim
Juhyoung Park
Youngbin Kim
34
0
0
11 May 2025
OT-Transformer: A Continuous-time Transformer Architecture with Optimal Transport Regularization
OT-Transformer: A Continuous-time Transformer Architecture with Optimal Transport Regularization
Kelvin Kan
Xingjian Li
Stanley Osher
99
2
0
30 Jan 2025
When are dynamical systems learned from time series data statistically
  accurate?
When are dynamical systems learned from time series data statistically accurate?
Jeongjin Park
Nicole Yang
Nisha Chandramoorthy
AI4TS
38
4
0
09 Nov 2024
Tight Stability, Convergence, and Robustness Bounds for Predictive
  Coding Networks
Tight Stability, Convergence, and Robustness Bounds for Predictive Coding Networks
A. Mali
Tommaso Salvatori
Alexander Ororbia
37
0
0
07 Oct 2024
Stabilized Neural Prediction of Potential Outcomes in Continuous Time
Stabilized Neural Prediction of Potential Outcomes in Continuous Time
Konstantin Hess
Stefan Feuerriegel
56
0
0
04 Oct 2024
Demystifying the Token Dynamics of Deep Selective State Space Models
Demystifying the Token Dynamics of Deep Selective State Space Models
Thieu N. Vo
Tung D. Pham
Xin T. Tong
Tan Minh Nguyen
Mamba
49
0
0
04 Oct 2024
Unconditional stability of a recurrent neural circuit implementing divisive normalization
Unconditional stability of a recurrent neural circuit implementing divisive normalization
Shivang Rawat
David J. Heeger
Stefano Martiniani
29
0
0
27 Sep 2024
Score-based Neural Ordinary Differential Equations for Computing Mean Field Control Problems
Score-based Neural Ordinary Differential Equations for Computing Mean Field Control Problems
Mo Zhou
Stanley Osher
Wuchen Li
87
3
0
24 Sep 2024
Polynomial-Augmented Neural Networks (PANNs) with Weak Orthogonality Constraints for Enhanced Function and PDE Approximation
Polynomial-Augmented Neural Networks (PANNs) with Weak Orthogonality Constraints for Enhanced Function and PDE Approximation
Madison Cooley
Shandian Zhe
Robert M. Kirby
Varun Shankar
67
1
0
04 Jun 2024
Liquid-Graph Time-Constant Network for Multi-Agent Systems Control
Liquid-Graph Time-Constant Network for Multi-Agent Systems Control
Antonio Marino
C. Pacchierotti
P. Giordano
40
1
0
22 Apr 2024
Convergence analysis of controlled particle systems arising in deep learning: from finite to infinite sample size
Convergence analysis of controlled particle systems arising in deep learning: from finite to infinite sample size
Huafu Liao
Alpár R. Mészáros
Chenchen Mou
Chao Zhou
26
2
0
08 Apr 2024
Double-well Net for Image Segmentation
Double-well Net for Image Segmentation
Haotian Liu
Jun Liu
Raymond H. F. Chan
Xue-Cheng Tai
55
7
0
31 Dec 2023
Graph Neural Ordinary Differential Equations-based method for
  Collaborative Filtering
Graph Neural Ordinary Differential Equations-based method for Collaborative Filtering
Ke Xu
Yuanjie Zhu
Weizhi Zhang
Philip S. Yu
BDL
GNN
29
4
0
21 Nov 2023
On existence, uniqueness and scalability of adversarial robustness
  measures for AI classifiers
On existence, uniqueness and scalability of adversarial robustness measures for AI classifiers
I. Horenko
AAML
16
2
0
19 Oct 2023
Adversarial Robustness in Graph Neural Networks: A Hamiltonian Approach
Adversarial Robustness in Graph Neural Networks: A Hamiltonian Approach
Kai Zhao
Qiyu Kang
Yang Song
Rui She
Sijie Wang
Wee Peng Tay
AAML
40
23
0
10 Oct 2023
PottsMGNet: A Mathematical Explanation of Encoder-Decoder Based Neural
  Networks
PottsMGNet: A Mathematical Explanation of Encoder-Decoder Based Neural Networks
X. Tai
Hao Liu
Raymond H. F. Chan
41
10
0
18 Jul 2023
Learning Latent Dynamics via Invariant Decomposition and
  (Spatio-)Temporal Transformers
Learning Latent Dynamics via Invariant Decomposition and (Spatio-)Temporal Transformers
Kai Lagemann
C. Lagemann
Swarnava Mukherjee
44
2
0
21 Jun 2023
Intelligent gradient amplification for deep neural networks
Intelligent gradient amplification for deep neural networks
S. Basodi
K. Pusuluri
Xueli Xiao
Yi Pan
ODL
21
1
0
29 May 2023
Stability of implicit neural networks for long-term forecasting in
  dynamical systems
Stability of implicit neural networks for long-term forecasting in dynamical systems
Léon Migus
J. Salomon
Patrick Gallinari
AI4TS
AI4CE
28
1
0
26 May 2023
PDE+: Enhancing Generalization via PDE with Adaptive Distributional
  Diffusion
PDE+: Enhancing Generalization via PDE with Adaptive Distributional Diffusion
Yige Yuan
Bingbing Xu
Bo Lin
Liang Hou
Fei Sun
Huawei Shen
Xueqi Cheng
DiffM
26
4
0
25 May 2023
A Fractional Graph Laplacian Approach to Oversmoothing
A Fractional Graph Laplacian Approach to Oversmoothing
Sohir Maskey
Raffaele Paolino
Aras Bacho
Gitta Kutyniok
39
30
0
22 May 2023
How Deep Learning Sees the World: A Survey on Adversarial Attacks &
  Defenses
How Deep Learning Sees the World: A Survey on Adversarial Attacks & Defenses
Joana Cabral Costa
Tiago Roxo
Hugo Manuel Proença
Pedro R. M. Inácio
AAML
52
50
0
18 May 2023
Learning on Manifolds: Universal Approximations Properties using
  Geometric Controllability Conditions for Neural ODEs
Learning on Manifolds: Universal Approximations Properties using Geometric Controllability Conditions for Neural ODEs
Karthik Elamvazhuthi
Xuechen Zhang
Samet Oymak
Fabio Pasqualetti
AI4CE
32
6
0
15 May 2023
The emergence of clusters in self-attention dynamics
The emergence of clusters in self-attention dynamics
Borjan Geshkovski
Cyril Letrouit
Yury Polyanskiy
Philippe Rigollet
30
46
0
09 May 2023
Neural Delay Differential Equations: System Reconstruction and Image
  Classification
Neural Delay Differential Equations: System Reconstruction and Image Classification
Qunxi Zhu
Yao Guo
Wei Lin
25
32
0
11 Apr 2023
Lecture Notes: Neural Network Architectures
Lecture Notes: Neural Network Architectures
Evelyn Herberg
3DH
42
2
0
11 Apr 2023
Unconstrained Parametrization of Dissipative and Contracting Neural
  Ordinary Differential Equations
Unconstrained Parametrization of Dissipative and Contracting Neural Ordinary Differential Equations
D. Martinelli
C. Galimberti
I. Manchester
Luca Furieri
Giancarlo Ferrari-Trecate
25
11
0
06 Apr 2023
Universal Approximation Property of Hamiltonian Deep Neural Networks
Universal Approximation Property of Hamiltonian Deep Neural Networks
M. Zakwan
M. d’Angelo
Giancarlo Ferrari-Trecate
36
5
0
21 Mar 2023
Learning Hamiltonian Systems with Mono-Implicit Runge-Kutta Methods
Learning Hamiltonian Systems with Mono-Implicit Runge-Kutta Methods
Haakon Noren
27
3
0
07 Mar 2023
Node Embedding from Hamiltonian Information Propagation in Graph Neural
  Networks
Node Embedding from Hamiltonian Information Propagation in Graph Neural Networks
Qiyu Kang
Kai Zhao
Yang Song
Sijie Wang
Rui She
Wee Peng Tay
38
0
0
02 Mar 2023
CQnet: convex-geometric interpretation and constraining neural-network
  trajectories
CQnet: convex-geometric interpretation and constraining neural-network trajectories
Bas Peters
35
0
0
09 Feb 2023
Learning PDE Solution Operator for Continuous Modeling of Time-Series
Learning PDE Solution Operator for Continuous Modeling of Time-Series
Yesom Park
Jaemoo Choi
Changyeon Yoon
Changhoon Song
Myung-joo Kang
AI4TS
AI4CE
27
3
0
02 Feb 2023
Exploring the Approximation Capabilities of Multiplicative Neural
  Networks for Smooth Functions
Exploring the Approximation Capabilities of Multiplicative Neural Networks for Smooth Functions
Ido Ben-Shaul
Tomer Galanti
S. Dekel
31
3
0
11 Jan 2023
Differentiable modeling to unify machine learning and physical models
  and advance Geosciences
Differentiable modeling to unify machine learning and physical models and advance Geosciences
Chaopeng Shen
A. Appling
Pierre Gentine
Toshiyuki Bandai
H. Gupta
...
Chris Rackauckas
Tirthankar Roy
Chonggang Xu
Binayak Mohanty
K. Lawson
AI4CE
42
14
0
10 Jan 2023
Continuous Depth Recurrent Neural Differential Equations
Continuous Depth Recurrent Neural Differential Equations
Srinivas Anumasa
Geetakrishnasai Gunapati
P. K. Srijith
AI4TS
26
0
0
28 Dec 2022
The Underlying Correlated Dynamics in Neural Training
The Underlying Correlated Dynamics in Neural Training
Rotem Turjeman
Tom Berkov
I. Cohen
Guy Gilboa
27
3
0
18 Dec 2022
Convergence Analysis for Training Stochastic Neural Networks via
  Stochastic Gradient Descent
Convergence Analysis for Training Stochastic Neural Networks via Stochastic Gradient Descent
Richard Archibald
F. Bao
Yanzhao Cao
Hui‐Jie Sun
52
2
0
17 Dec 2022
Asymptotic Analysis of Deep Residual Networks
Asymptotic Analysis of Deep Residual Networks
R. Cont
Alain Rossier
Renyuan Xu
27
4
0
15 Dec 2022
Numerical Stability of DeepGOPlus Inference
Numerical Stability of DeepGOPlus Inference
Inés Gonzalez Pepe
Yohan Chatelain
Gregory Kiar
Tristan Glatard
BDL
24
2
0
13 Dec 2022
A Neural ODE Interpretation of Transformer Layers
A Neural ODE Interpretation of Transformer Layers
Yaofeng Desmond Zhong
Tongtao Zhang
Amit Chakraborty
Biswadip Dey
41
9
0
12 Dec 2022
Deep Learning Methods for Partial Differential Equations and Related
  Parameter Identification Problems
Deep Learning Methods for Partial Differential Equations and Related Parameter Identification Problems
Derick Nganyu Tanyu
Jianfeng Ning
Tom Freudenberg
Nick Heilenkötter
A. Rademacher
U. Iben
Peter Maass
AI4CE
23
34
0
06 Dec 2022
Nonlinear controllability and function representation by neural
  stochastic differential equations
Nonlinear controllability and function representation by neural stochastic differential equations
Tanya Veeravalli
Maxim Raginsky
DiffM
27
2
0
01 Dec 2022
Neural DAEs: Constrained neural networks
Neural DAEs: Constrained neural networks
Tue Boesen
E. Haber
Uri M. Ascher
39
3
0
25 Nov 2022
Experimental study of Neural ODE training with adaptive solver for
  dynamical systems modeling
Experimental study of Neural ODE training with adaptive solver for dynamical systems modeling
A. Allauzen
Thiago Petrilli Maffei Dardis
Hannah Plath
AI4CE
24
0
0
13 Nov 2022
Differentiable Analog Quantum Computing for Optimization and Control
Differentiable Analog Quantum Computing for Optimization and Control
Jiaqi Leng
Yuxiang Peng
Yi-Ling Qiao
Ming-Chyuan Lin
Xiaodi Wu
22
15
0
28 Oct 2022
Neural ODEs as Feedback Policies for Nonlinear Optimal Control
Neural ODEs as Feedback Policies for Nonlinear Optimal Control
I. O. Sandoval
Panagiotis Petsagkourakis
Ehecatl Antonio del Rio Chanona
25
9
0
20 Oct 2022
On the Forward Invariance of Neural ODEs
On the Forward Invariance of Neural ODEs
Wei Xiao
Tsun-Hsuan Wang
Ramin Hasani
Mathias Lechner
Yutong Ban
Chuang Gan
Daniela Rus
42
11
0
10 Oct 2022
Parameter-varying neural ordinary differential equations with
  partition-of-unity networks
Parameter-varying neural ordinary differential equations with partition-of-unity networks
Kookjin Lee
N. Trask
27
2
0
01 Oct 2022
Estimating a potential without the agony of the partition function
Estimating a potential without the agony of the partition function
E. Haber
Moshe Eliasof
L. Tenorio
33
2
0
19 Aug 2022
Deep Neural Network Approximation of Invariant Functions through
  Dynamical Systems
Deep Neural Network Approximation of Invariant Functions through Dynamical Systems
Qianxiao Li
T. Lin
Zuowei Shen
24
6
0
18 Aug 2022
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