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Interpretation of Deep Neural Networks (DNNs) training as an optimal control problem with nonlinear dynamical systems has received considerable attention recently, yet the algorithmic development remains relatively limited. In this work, we…

Machine Learning · Computer Science 2021-06-14 Guan-Horng Liu , Tianrong Chen , Evangelos A. Theodorou

Graph Neural Networks (GNNs) have achieved significant success in addressing node classification tasks. However, the effectiveness of traditional GNNs degrades on heterophilic graphs, where connected nodes often belong to different labels…

Machine Learning · Computer Science 2025-11-11 Asela Hevapathige , Asiri Wijesinghe , Ahad N. Zehmakan

In this paper, we propose a novel adaptive kernel for the radial basis function (RBF) neural networks. The proposed kernel adaptively fuses the Euclidean and cosine distance measures to exploit the reciprocating properties of the two. The…

Machine Learning · Statistics 2019-05-10 Shujaat Khan , Imran Naseem , Roberto Togneri , Mohammed Bennamoun

We propose a partial differential-integral equation (PDE) framework for deep neural networks (DNNs) and their associated learning problem by taking the continuum limits of both network width and depth. The proposed model captures the…

Optimization and Control · Mathematics 2024-11-12 Peter Markowich , Simone Portaro

In this paper, we deal with distributed estimation problems in diffusion networks with heterogeneous nodes, i.e., nodes that either implement different adaptive rules or differ in some other aspect such as the filter structure or length, or…

Systems and Control · Computer Science 2017-09-05 Jesus Fernandez-Bes , Jerónimo Arenas-García , Magno T. M. Silva , Luis A. Azpicueta-Ruiz

We propose a hierarchical training algorithm for standard feed-forward neural networks that adaptively extends the network architecture as soon as the optimization reaches a stationary point. By solving small (low-dimensional) optimization…

Numerical Analysis · Mathematics 2024-10-31 Michael Feischl , Alexander Rieder , Fabian Zehetgruber

Growing demands in the semiconductor industry result in the need for enhanced performance of lithographic equipment. However, position tracking accuracy of high precision mechatronics is often limited by the presence of disturbance sources,…

Systems and Control · Electrical Eng. & Systems 2021-05-05 Ioannis Proimadis , Yorick Broens , Roland Tóth , Hans Butler

A neural network is essentially a high-dimensional complex mapping model by adjusting network weights for feature fitting. However, the spectral bias in network training leads to unbearable training epochs for fitting the high-frequency…

Signal Processing · Electrical Eng. & Systems 2021-06-22 Zhi Zeng , Pengpeng Shi , Fulei Ma , Peihan Qi

Adaptive cooperative tracking control with prescribed performance function (PPF) is proposed for high-order nonlinear multi-agent systems. The tracking error originally within a known large set is confined to a smaller predefined set using…

Optimization and Control · Mathematics 2019-04-29 Hashim A Hashim

Gain and order scheduling of fractional order (FO) PI{\lambda}D{\mu} controllers are studied in this paper considering four different classes of higher order processes. The mapping between the optimum PID/FOPID controller parameters and the…

Systems and Control · Computer Science 2012-02-28 Saptarshi Das , Sayan Saha , Ayan Mukherjee , Indranil Pan , Amitava Gupta

Deep neural networks (DNNs), trained with gradient-based optimization and backpropagation, are currently the primary tool in modern artificial intelligence, machine learning, and data science. In many applications, DNNs are trained offline,…

Machine Learning · Computer Science 2024-02-02 Jacob G. Elkins , Farbod Fahimi

Feedforward neural networks (FNNs) can be viewed as non-linear regression models, where covariates enter the model through a combination of weighted summations and non-linear functions. Although these models have some similarities to the…

Methodology · Statistics 2024-05-02 Andrew McInerney , Kevin Burke

Federated Learning (FL) has emerged as a new paradigm for training machine learning models distributively without sacrificing data security and privacy. Learning models on edge devices such as mobile phones is one of the most common use…

Machine Learning · Computer Science 2023-02-10 Sixing Yu , Phuong Nguyen , Ali Anwar , Ali Jannesari

Traditional predictive coding networks, inspired by theories of brain function, consistently achieve promising results across various domains, extending their influence into the field of computer vision. However, the performance of the…

Computer Vision and Pattern Recognition · Computer Science 2025-04-22 A S M Sharifuzzaman Sagar , Yu Chen , Jun Hoong Chan

We propose an adaptive scheme for distributed learning of nonlinear functions by a network of nodes. The proposed algorithm consists of a local adaptation stage utilizing multiple kernels with projections onto hyperslabs and a diffusion…

Signal Processing · Electrical Eng. & Systems 2018-09-05 Ban-Sok Shin , Masahiro Yukawa , Renato Luis Garrido Cavalcante , Armin Dekorsy

We propose a simple, practical and intuitive approach to improve the performance of a conventional controller in uncertain environments using deep reinforcement learning while maintaining safe operation. Our approach is motivated by the…

Systems and Control · Electrical Eng. & Systems 2021-10-07 Tom Staessens , Tom Lefebvre , Guillaume Crevecoeur

The brain is a highly reconfigurable machine capable of task-specific adaptations. The brain continually rewires itself for a more optimal configuration to solve problems. We propose a novel strategic synthesis algorithm for feedforward…

Artificial Intelligence · Computer Science 2021-04-22 Alastair Finlinson , Sotiris Moschoyiannis

Deep neural network (DNN)-based adaptive controllers can be used to compensate for unstructured uncertainties in nonlinear dynamic systems. However, DNNs are also very susceptible to overfitting and co-adaptation. Dropout regularization is…

Systems and Control · Electrical Eng. & Systems 2023-11-01 Saiedeh Akbari , Emily J. Griffis , Omkar Sudhir Patil , Warren E. Dixon

The paper discusses an adaptive strategy to effectively control nonlinear manipulation motions of a dual arm robot (DAR) under system uncertainties including parameter variations, actuator nonlinearities and external disturbances. It is…

Federated Learning offers a way to train deep neural networks in a distributed fashion. While this addresses limitations related to distributed data, it incurs a communication overhead as the model parameters or gradients need to be…

Machine Learning · Computer Science 2023-05-26 Morten From Elvebakken , Alexandros Iosifidis , Lukas Esterle