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Deep Operator Networks are emerging as fundamental tools among various neural network types to learn mappings between function spaces, and have recently gained attention due to their ability to approximate nonlinear operators. In…

Machine Learning · Computer Science 2026-01-15 Beatrice Ceccanti , Mattia Galanti , Ivo Roghair , Martin van Sint Annaland

The computational resources required to solve the full 3D inversion of time-domain electromagnetic data are immense. To overcome the time-consuming 3D simulations, we construct a surrogate model, more precisely, a data-driven statistical…

Geophysics · Physics 2024-07-10 Wouter Deleersnyder , David Dudal , Thomas Hermans

High-fidelity numerical simulations of chaotic, high dimensional nonlinear dynamical systems are computationally expensive, necessitating the development of efficient surrogate models. Most surrogate models for such systems are…

Machine Learning · Computer Science 2026-03-16 Dibyajyoti Chakraborty , Hojin Kim , Romit Maulik

Time-dependent partial differential equations (PDEs) are ubiquitous in science and engineering. Recently, mostly due to the high computational cost of traditional solution techniques, deep neural network based surrogates have gained…

Machine Learning · Computer Science 2023-10-24 Phillip Lippe , Bastiaan S. Veeling , Paris Perdikaris , Richard E. Turner , Johannes Brandstetter

Molecular Communication (MC) channels are characterized by significant memory and nonlinear dynamics arising from diffusion and receptor kinetics. While often viewed as impairments to reliable data transmission, this work introduces a…

Emerging Technologies · Computer Science 2025-09-23 Mustafa Uzun , Kaan Burak Ikiz , Murat Kuscu

Neural channel decoder, as a data-driven channel decoding strategy, has shown very promising improvement on error-correcting capability over the classical methods. However, the success of those deep learning-based decoder comes at the cost…

Information Theory · Computer Science 2026-05-20 Chengwei Zhang , Yifan Du , Siyu Liao

In this paper, a novel framework is proposed to optimize the downlink multi-user communication of a millimeter wave base station, which is assisted by a reconfigurable intelligent reflector (IR). In particular, a channel estimation approach…

Information Theory · Computer Science 2021-08-03 Qianqian Zhang , Walid Saad , Mehdi Bennis

We propose a novel \textit{capsule} based deep encoder-decoder model for surrogate modeling and uncertainty quantification of systems in mechanics from sparse data. The proposed framework is developed by adapting Capsule Network (CapsNet)…

Machine Learning · Statistics 2022-01-20 Akshay Thakur , Souvik Chakraborty

We present a combined numerical and data-driven workflow for efficient prediction of nonlinear, instationary convection-diffusion-reaction dynamics on a two-dimensional phenotypic domain, motivated by macroscopic modeling of cancer cell…

Computational Engineering, Finance, and Science · Computer Science 2026-02-02 Michael Urs Lars Kastor , Jan Rottmayer , Anna Hundertmark , Nicolas Ralph Gauger

This paper focuses on molecular communication (MC) systems using two types of signaling molecules which may participate in a reversible bimolecular reaction in the channel. The motivation for studying these MC systems is that they can…

Information Theory · Computer Science 2019-07-25 Vahid Jamali , Nariman Farsad , Robert Schober , Andrea Goldsmith

Neural networks (NNs) have proven to be a viable alternative to traditional direct numerical algorithms, with the potential to accelerate computational time by several orders of magnitude. In the present paper we study the use of…

Machine Learning · Computer Science 2023-02-09 J. Quetzalcoatl Toledo-Marin , James A. Glazier , Geoffrey Fox

Analytical modeling of field-assisted molecular communication under dynamic electric fields is fundamentally challenging due to the coupling between stochastic transport and complex boundary geometries, which renders conventional partial…

Information Theory · Computer Science 2026-04-02 Po-Chun Chou , Yen-Chi Lee , Chun-An Yang , Chia-Han Lee , Ping-Cheng Yeh

Data-driven surrogate modeling has emerged as a promising approach for reducing computational expenses of multiscale simulations. Recurrent Neural Network (RNN) is a common choice for modeling of path-dependent behavior. However, previous…

Computational Engineering, Finance, and Science · Computer Science 2023-12-29 Yangzi He , Shabnam J. Semnani

In this paper, we develop a mathematical framework for modeling the time-variant stochastic channels of diffusive mobile MC systems. In particular, we consider a diffusive mobile MC system consisting of a pair of transmitter and receiver…

Information Theory · Computer Science 2018-07-12 Arman Ahmadzadeh , Vahid Jamali , Robert Schober

Video-diffusion models have recently set the standard in video generation, inpainting, and domain translation thanks to their training stability and high perceptual fidelity. Building on these strengths, we repurpose conditional video…

Computational Engineering, Finance, and Science · Computer Science 2025-07-28 Jaewan Park , Farid Ahmed , Kazuma Kobayashi , Seid Koric , Syed Bahauddin Alam , Iwona Jasiuk , Diab Abueidda

We investigate a deep learning approach to efficiently perform Bayesian inference in partial differential equation (PDE) and integral equation models over potentially high-dimensional parameter spaces. The contributions of this paper are…

Numerical Analysis · Mathematics 2021-03-26 Teo Deveney , Eike Mueller , Tony Shardlow

Machine learning models of accelerator systems (`surrogate models') are able to provide fast, accurate predictions of accelerator physics phenomena. However, approaches to date typically do not include measured input diagnostics, such as…

Accelerator Physics · Physics 2021-04-06 Lipi Gupta , Auralee Edelen , Nicole Neveu , Aashwin Mishra , Christopher Mayes , Young-Kee Kim

Mobile channel modeling has always been the core part for design, deployment and optimization of communication system, especially in 5G and beyond era. Deterministic channel modeling could precisely achieve mobile channel description,…

Signal Processing · Electrical Eng. & Systems 2023-01-30 Zhao Zhang , Danping He , Xiping Wang , Ke Guan , Zhangdui Zhong , Jianwu Dou

End-to-end learning has become a popular method for joint transmitter and receiver optimization in optical communication systems. Such approach may require a differentiable channel model, thus hindering the optimization of links based on…

Signal Processing · Electrical Eng. & Systems 2024-05-21 Sergio Hernandez , Ognjen Jovanovic , Christophe Peucheret , Francesco Da Ros , Darko Zibar

Managing divertor plasmas is crucial for operating reactor scale tokamak devices due to heat and particle flux constraints on the divertor target. Simulation is an important tool to understand and control these plasmas, however, for…

Plasma Physics · Physics 2023-10-02 Yoeri Poels , Gijs Derks , Egbert Westerhof , Koen Minartz , Sven Wiesen , Vlado Menkovski