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Recurrent Neural Networks (RNNs) represent the de facto standard machine learning tool for sequence modelling, owing to their expressive power and memory. However, when dealing with large dimensional data, the corresponding exponential…

Machine Learning · Computer Science 2021-05-12 Yao Lei Xu , Giuseppe G. Calvi , Danilo P. Mandic

Collective behaviors that emerge from interactions are fundamental to numerous biological systems. To learn such interacting forces from observations, we introduce a measure-valued neural network that infers measure-dependent interaction…

Numerical Analysis · Mathematics 2026-04-08 Liyao Lyu , Xinyue Yu , Hayden Schaeffer

This paper presents a scalable deep learning approach for short-term traffic prediction based on historical traffic data in a vehicular road network. Capturing the spatio-temporal relationship of the big data often requires a significant…

Machine Learning · Computer Science 2021-03-04 Youngjoo Kim , Peng Wang , Lyudmila Mihaylova

We propose an interpretable AI-assisted reliability diagnostic framework for parameterized root-finding schemes based on kNN-LLE proxy stability profiling and multi-horizon early prediction. The approach augments a numerical solver with a…

Numerical Analysis · Mathematics 2026-03-19 Bruno Carpentieri , Andrei Velichko , Mudassir Shams , Paola Lecca

This study presents a novel physics-informed neural network (PINN) framework for modeling poroelasticity in heterogeneous media with material interfaces. The approach introduces a composite neural network (CoNN) where separate neural…

Systems and Control · Electrical Eng. & Systems 2024-12-31 Sumanta Roy , Chandrasekhar Annavarapu , Pratanu Roy , Dakshina Murthy Valiveti

Machine learning (ML) models for electronic structure typically rely on large datasets generated by computationally expensive Kohn-Sham density functional theory calculations, as it is not known a priori which portions of the data are…

Accurate prediction of permeability tensors from pore-scale microstructure images is essential for subsurface flow modeling, yet direct numerical simulation requires hours per sample, fundamentally limiting large-scale uncertainty…

Machine Learning · Computer Science 2026-03-19 Mohammad Nooraiepour

This paper considers structural optimization under a reliability constraint, where the input distribution is only partially known. Specifically, when we only know that the expected value vector and the variance-covariance matrix of the…

Optimization and Control · Mathematics 2022-12-19 Yoshihiro Kanno

Nondestructive evaluation methods play an important role in ensuring component integrity and safety in many industries. Operator fatigue can play a critical role in the reliability of such methods. This is important for inspecting high…

We present a resilient deep neural network (DNN) framework for decentralized transport and coverage using uncrewed aerial systems (UAS) operating in $\mathbb{R}^n$. The proposed DNN-based mass-transport architecture constructs a layered…

Systems and Control · Electrical Eng. & Systems 2025-12-09 Muhammad Junayed Hasan Zahed , Hossein Rastgoftar

A spatiotemporal deep learning framework is proposed that is capable of 2D full-field prediction of fracture in concrete mesostructures. This framework not only predicts fractures but also captures the entire history of the fracture…

Computational Engineering, Finance, and Science · Computer Science 2024-07-25 Rasoul Najafi Koopas , Shahed Rezaei , Natalie Rauter , Richard Ostwald , Rolf Lammering

Structuring ambiguity sets in Wasserstein-based distributionally robust optimization (DRO) can improve their statistical properties when the uncertainty consists of multiple independent components. The aim of this paper is to solve…

Optimization and Control · Mathematics 2025-04-10 Lotfi M. Chaouach , Tom Oomen , Dimitris Boskos

Tensorial neural networks (TNNs) combine the successes of multilinear algebra with those of deep learning to enable extremely efficient reduced-order models of high-dimensional problems. Here, I describe a deep neural network architecture…

Machine Learning · Computer Science 2023-12-27 Caleb G. Wagner

Recently, Frankle & Carbin (2019) demonstrated that randomly-initialized dense networks contain subnetworks that once found can be trained to reach test accuracy comparable to the trained dense network. However, finding these high…

Machine Learning · Computer Science 2021-03-18 James Diffenderfer , Bhavya Kailkhura

Urban transportation networks are inherently vulnerable to disruptions that affect connectivity and passenger mobility. Traditional graph_theoretic metrics, such as betweenness and degree centrality, offer insights into local network…

Physics and Society · Physics 2025-10-29 Iman Seyedi , Antonio Candelieri , Enza Messina , Francesco Archetti

Neural networks (NNs) are often used as surrogates or emulators of partial differential equations (PDEs) that describe the dynamics of complex systems. A virtually negligible computational cost of such surrogates renders them an attractive…

Numerical Analysis · Mathematics 2021-05-04 Dong H. Song , Daniel M. Tartakovsky

Learning probability distributions on the weights of neural networks (NNs) has recently proven beneficial in many applications. Bayesian methods, such as Stein variational gradient descent (SVGD), offer an elegant framework to reason about…

Machine Learning · Statistics 2018-04-03 Ruiyi Zhang , Chunyuan Li , Changyou Chen , Lawrence Carin

The failures of train wheels account for disruptions of train operations and even a large portion of train derailments. Remaining useful life (RUL) of a wheelset measures the how soon the next failure will arrive, and the failure type…

Machine Learning · Computer Science 2021-01-21 Weixin Wang

Tensegrity robots, composed of rigid rods and flexible cables, are difficult to accurately model and control given the presence of complex dynamics and high number of DoFs. Differentiable physics engines have been recently proposed as a…

Robotics · Computer Science 2022-07-07 Kun Wang , Mridul Aanjaneya , Kostas Bekris

Generation planning approaches face challenges in managing the incompatible mathematical structures between stochastic production simulations for reliability assessment and optimization models for generation planning, which hinders the…

Artificial Intelligence · Computer Science 2025-04-11 Peng Liu , Lian Cheng , Benjamin P. Omell , Anthony P. Burgard
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