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Data-driven equation discovery aims to reconstruct governing equations directly from empirical observations. A fundamental challenge in this domain is the ill-posed nature of the inverse problem, where multiple distinct mathematical models…

Chaotic Dynamics · Physics 2026-01-30 Federico J. Gonzalez

Currently the state of the art network models are based or depend on Discrete Event Simulation (DES). While DES is highly accurate, it is also computationally costly and cumbersome to parallelize, making it unpractical to simulate high…

Networking and Internet Architecture · Computer Science 2023-10-19 Carlos Güemes-Palau , Miquel Ferriol Galmés , Albert Cabellos-Aparicio , Pere Barlet-Ros

In recent years, deep learning has been connected with optimal control as a way to define a notion of a continuous underlying learning problem. In this view, neural networks can be interpreted as a discretization of a parametric Ordinary…

Optimization and Control · Mathematics 2020-07-07 Joubine Aghili , Olga Mula

Origin-Destination Estimation plays an important role in the era of Intelligent Transportation. Nevertheless, as a under-determined problem, OD estimation confronts many challenges from cross-space inference to non-convex, non-linear…

Machine Learning · Computer Science 2022-08-24 Guanzhou Li , Yujing He , Jianping Wu , Duowei Li

We propose CLEVER, an active learning system for robust semantic perception with Deep Neural Networks (DNNs). For data arriving in streams, our system seeks human support when encountering failures and adapts DNNs online based on human…

Robotics · Computer Science 2025-07-22 Jongseok Lee , Timo Birr , Rudolph Triebel , Tamim Asfour

Compared with contact detection techniques, pavement crack identification with visual images via deep learning algorithms has the advantages of not being limited by the material of object to be detected, fast speed and low cost. The…

Computer Vision and Pattern Recognition · Computer Science 2022-11-17 Kai-Liang Lu

A fundamental challenge in car-following modeling lies in accurately representing the multi-scale complexity of driving behaviors, particularly the intra-driver heterogeneity where a single driver's actions fluctuate dynamically under…

Machine Learning · Computer Science 2025-06-09 Shirui Zhou , Jiying Yan , Junfang Tian , Tao Wang , Yongfu Li , Shiquan Zhong

Deep Model Predictive Control (Deep MPC) is an evolving field that integrates model predictive control and deep learning. This manuscript is focused on a particular approach, which employs deep neural network in the loop with MPC. This…

Systems and Control · Electrical Eng. & Systems 2025-11-24 Prabhat K. Mishra , Mateus V. Gasparino , Girish Chowdhary

Our goal is to provide a review of deep learning methods which provide insight into structured high-dimensional data. Rather than using shallow additive architectures common to most statistical models, deep learning uses layers of…

Machine Learning · Statistics 2023-10-11 Nick Polson , Vadim Sokolov

Motivated by the paradigm of reservoir computing, we consider randomly initialized controlled ResNets defined as Euler-discretizations of neural controlled differential equations (Neural CDEs), a unified architecture which enconpasses both…

Dynamical Systems · Mathematics 2023-06-06 Nicola Muca Cirone , Maud Lemercier , Cristopher Salvi

Many recent machine learning models rely on fine-grained dynamic control flow for training and inference. In particular, models based on recurrent neural networks and on reinforcement learning depend on recurrence relations, data-dependent…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-09 Yuan Yu , Martín Abadi , Paul Barham , Eugene Brevdo , Mike Burrows , Andy Davis , Jeff Dean , Sanjay Ghemawat , Tim Harley , Peter Hawkins , Michael Isard , Manjunath Kudlur , Rajat Monga , Derek Murray , Xiaoqiang Zheng

Control theory provides engineers with a multitude of tools to design controllers that manipulate the closed-loop behavior and stability of dynamical systems. These methods rely heavily on insights about the mathematical model governing the…

Robotics · Computer Science 2020-06-18 Simen Theie Havenstrøm , Adil Rasheed , Omer San

Most of the intrusion detection methods in computer networks are based on traffic flow characteristics. However, this approach may not fully exploit the potential of deep learning algorithms to directly extract features and patterns from…

Computer Vision and Pattern Recognition · Computer Science 2025-11-04 Aleksander Ogonowski , Michał Żebrowski , Arkadiusz Ćwiek , Tobiasz Jarosiewicz , Konrad Klimaszewski , Adam Padee , Piotr Wasiuk , Michał Wójcik

Control theory provides engineers with a multitude of tools to design controllers that manipulate the closed-loop behavior and stability of dynamical systems. These methods rely heavily on insights about the mathematical model governing the…

Systems and Control · Electrical Eng. & Systems 2020-09-24 Simen Theie Havenstrøm , Camilla Sterud , Adil Rasheed , Omer San

Deep learning is the backbone of artificial intelligence technologies, and it can be regarded as a kind of multilayer feedforward neural network. An essence of deep learning is information propagation through layers. This suggests that…

Neural and Evolutionary Computing · Computer Science 2021-04-02 Genki Furuhata , Tomoaki Niiyama , Satoshi Sunada

In this paper, we propose deep learning architectures (FNN, CNN and LSTM) to forecast a regression model for time dependent data. These algorithm's are designed to handle Floating Car Data (FCD) historic speeds to predict road traffic data.…

Applications · Statistics 2017-10-24 Thomas Epelbaum , Fabrice Gamboa , Jean-Michel Loubes , Jessica Martin

This paper explores the prediction of the dynamics of piecewise smooth maps using various deep learning models. We have shown various novel ways of predicting the dynamics of piecewise smooth maps using deep learning models. Moreover, we…

Machine Learning · Computer Science 2024-06-26 Vismaya V S , Bharath V Nair , Sishu Shankar Muni

Autonomous systems increasingly rely on machine learning techniques to transform high-dimensional raw inputs into predictions that are then used for decision-making and control. However, it is often easy to maliciously manipulate such…

Machine Learning · Computer Science 2023-02-07 Jinghan Yang , Hunmin Kim , Wenbin Wan , Naira Hovakimyan , Yevgeniy Vorobeychik

Designing and generating new data under targeted properties has been attracting various critical applications such as molecule design, image editing and speech synthesis. Traditional hand-crafted approaches heavily rely on expertise…

Machine Learning · Computer Science 2024-03-19 Shiyu Wang , Yuanqi Du , Xiaojie Guo , Bo Pan , Zhaohui Qin , Liang Zhao

Partial Differential Equations (PDE) are fundamental to model different phenomena in science and engineering mathematically. Solving them is a crucial step towards a precise knowledge of the behaviour of natural and engineered systems. In…