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Fractional Deep Neural Network via Constrained Optimization

Fractional Deep Neural Network via Constrained Optimization

Harbir Antil
R. Khatri
R. Löhner
Deepanshu Verma
ArXiv (abs)PDFHTML

Papers citing "Fractional Deep Neural Network via Constrained Optimization"

13 / 13 papers shown
Title
OCTANE -- Optimal Control for Tensor-based Autoencoder Network Emergence: Explicit Case
OCTANE -- Optimal Control for Tensor-based Autoencoder Network Emergence: Explicit Case
R. Khatri
Anthony Kolshorn
Colin Olson
Harbir Antil
28
0
0
09 Sep 2025
Efficient Training of Neural Fractional-Order Differential Equation via Adjoint Backpropagation
Efficient Training of Neural Fractional-Order Differential Equation via Adjoint BackpropagationAAAI Conference on Artificial Intelligence (AAAI), 2025
Qiyu Kang
Xuhao Li
Kai Zhao
Wenjun Cui
Yanan Zhao
Weihua Deng
Wee Peng Tay
188
2
0
20 Mar 2025
Neural Variable-Order Fractional Differential Equation Networks
Neural Variable-Order Fractional Differential Equation NetworksAAAI Conference on Artificial Intelligence (AAAI), 2025
Wenjun Cui
Qiyu Kang
Xuhao Li
Kai Zhao
Wee Peng Tay
Weihua Deng
Yidong Li
151
4
0
20 Mar 2025
Unleashing the Potential of Fractional Calculus in Graph Neural Networks with FROND
Unleashing the Potential of Fractional Calculus in Graph Neural Networks with FROND
Qiyu Kang
Kai Zhao
Qinxu Ding
Feng Ji
Xuhao Li
Wenfei Liang
Yang Song
Wee Peng Tay
215
12
0
26 Apr 2024
Coupling Graph Neural Networks with Fractional Order Continuous Dynamics: A Robustness Study
Coupling Graph Neural Networks with Fractional Order Continuous Dynamics: A Robustness StudyAAAI Conference on Artificial Intelligence (AAAI), 2024
Qiyu Kang
Kai Zhao
Yang Song
Yihang Xie
Yanan Zhao
Sijie Wang
Rui She
Wee Peng Tay
159
7
0
09 Jan 2024
Differential Equations for Continuous-Time Deep Learning
Differential Equations for Continuous-Time Deep LearningNotices of the American Mathematical Society (Not. Amer. Math. Soc.), 2024
Lars Ruthotto
AI4TSAI4CESyDaBDL
109
9
0
08 Jan 2024
Time Regularization in Optimal Time Variable Learning
Time Regularization in Optimal Time Variable LearningPamm (PAMM), 2023
Evelyn Herberg
Roland A. Herzog
Frederik Köhne
AI4TSAI4CE
59
1
0
28 Jun 2023
Lecture Notes: Neural Network Architectures
Lecture Notes: Neural Network Architectures
Evelyn Herberg
3DH
109
3
0
11 Apr 2023
Neural Network Representation of Time Integrators
Neural Network Representation of Time IntegratorsInternational Journal for Numerical Methods in Engineering (IJNME), 2022
R. Löhner
Harbir Antil
AI4TS
45
1
0
30 Nov 2022
An Optimal Time Variable Learning Framework for Deep Neural Networks
An Optimal Time Variable Learning Framework for Deep Neural NetworksAnnals of Mathematical Sciences and Applications (AMSA), 2022
Harbir Antil
Hugo Díaz
Evelyn Herberg
80
4
0
18 Apr 2022
NINNs: Nudging Induced Neural Networks
NINNs: Nudging Induced Neural Networks
Harbir Antil
R. Löhner
Randy Price
AI4CE
49
2
0
15 Mar 2022
Novel DNNs for Stiff ODEs with Applications to Chemically Reacting Flows
Novel DNNs for Stiff ODEs with Applications to Chemically Reacting Flows
Thomas S. Brown
Harbir Antil
R. Löhner
F. Togashi
Deepanshu Verma
AI4CE
57
17
0
01 Apr 2021
Novel Deep neural networks for solving Bayesian statistical inverse
Novel Deep neural networks for solving Bayesian statistical inverse
Harbir Antil
H. Elman
Akwum Onwunta
Deepanshu Verma
BDL
62
18
0
08 Feb 2021

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