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We analyze the stability of standing pulse solutions of a neural network integro-differential equation. The network consists of a coarse-grained layer of neurons synaptically connected by lateral inhibition with a non-saturating nonlinear…

Neurons and Cognition · Quantitative Biology 2007-05-23 Yixin Guo , Carson C. Chow

The objective of this paper is to enhance the optimization process for neural networks by developing a dynamic learning rate algorithm that effectively integrates exponential decay and advanced anti-overfitting strategies. Our primary…

Machine Learning · Computer Science 2025-08-04 Jatin Chaudhary , Dipak Nidhi , Jukka Heikkonen , Haari Merisaari , Rajiv Kanth

Understanding how the brain learns to compute functions reliably, efficiently and robustly with noisy spiking activity is a fundamental challenge in neuroscience. Most sensory and motor tasks can be described as dynamical systems and could…

Neurons and Cognition · Quantitative Biology 2017-05-24 Sophie Denève , Alireza Alemi , Ralph Bourdoukan

Despite their impressive performance, contemporary neural networks often lack structural safeguards that promote stable learning and interpretable behavior. In this work, we introduce a reformulation of layer-level transformations that…

Machine Learning · Computer Science 2025-08-04 Saleh Nikooroo , Thomas Engel

We consider artificial neurons which will update their weight coefficients with an internal rule based on backpropagation, rather than using it as an external training procedure. To achieve this we include the backpropagation error estimate…

Neural and Evolutionary Computing · Computer Science 2018-08-07 M. N. Nazarov

The big breakthrough on the ImageNet challenge in 2012 was partially due to the `dropout' technique used to avoid overfitting. Here, we introduce a new approach called `Spectral Dropout' to improve the generalization ability of deep neural…

Computer Vision and Pattern Recognition · Computer Science 2017-11-27 Salman Khan , Munawar Hayat , Fatih Porikli

Despite the promise of superior efficiency and scalability, real-world deployment of emerging nanoelectronic platforms for brain-inspired computing have been limited thus far, primarily because of inter-device variations and intrinsic…

Emerging Technologies · Computer Science 2024-03-25 A N M Nafiul Islam , Kezhou Yang , Amit K. Shukla , Pravin Khanal , Bowei Zhou , Wei-Gang Wang , Abhronil Sengupta

A promising approach to optimal control of nonlinear systems involves iteratively linearizing the system and solving an optimization problem at each time instant to determine the optimal control input. Since this approach relies on online…

Optimization and Control · Mathematics 2025-01-30 Anran Li , John P. Swensen , Mehdi Hosseinzadeh

With the development of neural networks based machine learning and their usage in mission critical applications, voices are rising against the \textit{black box} aspect of neural networks as it becomes crucial to understand their limits and…

Machine Learning · Statistics 2017-08-08 El Mahdi El Mhamdi , Rachid Guerraoui , Sebastien Rouault

Algorithmic stability is a classical framework for analyzing the generalization error of learning algorithms. It predicts that an algorithm has small generalization error if it is insensitive to small perturbations in the training set such…

Machine Learning · Computer Science 2026-02-17 Ouns El Harzli , Yoonsoo Nam , Ilja Kuzborskij , Bernardo Cuenca Grau , Ard A. Louis

Neuromorphic computing, commonly understood as a computing approach built upon neurons, synapses, and their dynamics, as opposed to Boolean gates, is gaining large mindshare due to its direct application in solving current and future…

Emerging Technologies · Computer Science 2023-05-09 Md Golam Morshed , Samiran Ganguly , Avik W. Ghosh

With the increment of interest in leveraging machine learning technology in safety-critical systems, the robustness of neural networks under external disturbance receives more and more concerns. Global robustness is a robustness property…

Machine Learning · Computer Science 2022-08-16 Zhilu Wang , Yixuan Wang , Feisi Fu , Ruochen Jiao , Chao Huang , Wenchao Li , Qi Zhu

Using vanilla NeuralODEs to model large and/or complex systems often fails due two reasons: Stability and convergence. NeuralODEs are capable of describing stable as well as instable dynamic systems. Selecting an appropriate numerical…

Machine Learning · Computer Science 2023-02-23 Tobias Thummerer , Lars Mikelsons

Decoding stimuli or behaviour from recorded neural activity is a common approach to interrogate brain function in research, and an essential part of brain-computer and brain-machine interfaces. Reliable decoding even from small neural…

Neurons and Cognition · Quantitative Biology 2023-01-06 Justin Jude , Matthew G. Perich , Lee E. Miller , Matthias H. Hennig

Neural network models have become the leading solution for a large variety of tasks, such as classification, language processing, protein folding, and others. However, their reliability is heavily plagued by adversarial inputs: small input…

Machine Learning · Computer Science 2022-10-04 Natan Levy , Guy Katz

This paper proposes a novel approach to improve the performance of distributed nonlinear control systems while preserving stability by leveraging Deep Neural Networks (DNNs). We build upon the Neural System Level Synthesis (Neur-SLS)…

Optimization and Control · Mathematics 2024-08-01 Danilo Saccani , Leonardo Massai , Luca Furieri , Giancarlo Ferrari-Trecate

In contrast to the human ability to continuously acquire knowledge, agents struggle with the stability-plasticity dilemma in deep reinforcement learning (DRL), which refers to the trade-off between retaining existing skills (stability) and…

Artificial Intelligence · Computer Science 2025-04-14 Jiahua Lan , Sen Zhang , Haixia Pan , Ruijun Liu , Li Shen , Dacheng Tao

We study the optimal control of multiple-input and multiple-output dynamical systems via the design of neural network-based controllers with stability and output tracking guarantees. While neural network-based nonlinear controllers have…

Systems and Control · Electrical Eng. & Systems 2023-05-30 Wenqi Cui , Yan Jiang , Baosen Zhang , Yuanyuan Shi

Deep neural networks have achieved state-of-the-art performance in a variety of fields. Recent works observe that a class of widely used neural networks can be viewed as the Euler method of numerical discretization. From the numerical…

Computer Vision and Pattern Recognition · Computer Science 2020-10-21 Byungjoo Kim , Bryce Chudomelka , Jinyoung Park , Jaewoo Kang , Youngjoon Hong , Hyunwoo J. Kim