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In this work, we describe a new approach that uses deep neural networks (DNN) to obtain regularization parameters for solving inverse problems. We consider a supervised learning approach, where a network is trained to approximate the…

Numerical Analysis · Mathematics 2021-04-15 Babak Maboudi Afkham , Julianne Chung , Matthias Chung

In high energy density physics (HEDP) and inertial confinement fusion (ICF), predictive modeling is complicated by uncertainty in parameters that characterize various aspects of the modeled system, such as those characterizing material…

Deep Neural Network (DNN) models are often deployed in resource-sharing clouds as Machine Learning as a Service (MLaaS) to provide inference services.To steal model architectures that are of valuable intellectual properties, a class of…

Cryptography and Security · Computer Science 2023-09-22 Yansong Gao , Huming Qiu , Zhi Zhang , Binghui Wang , Hua Ma , Alsharif Abuadbba , Minhui Xue , Anmin Fu , Surya Nepal

Deep neural networks (DNN) have shown remarkable success in the classification of physiological signals. In this study we propose a method for examining to what extent does a DNN's performance rely on rediscovering existing features of the…

Machine Learning · Statistics 2020-08-26 Tom Beer , Bar Eini-Porat , Sebastian Goodfellow , Danny Eytan , Uri Shalit

The inverse problem of electrical resistivity surveys (ERSs) is difficult because of its nonlinear and ill-posed nature. For this task, traditional linear inversion methods still face challenges such as suboptimal approximation and initial…

Computer Vision and Pattern Recognition · Computer Science 2020-06-29 Bin Liu , Qian Guo , Shucai Li , Benchao Liu , Yuxiao Ren , Yonghao Pang , Xu Guo , Lanbo Liu , Peng Jiang

Energy-Dissipative Evolutionary Deep Operator Neural Network is an operator learning neural network. It is designed to seed numerical solutions for a class of partial differential equations instead of a single partial differential equation,…

Machine Learning · Statistics 2023-06-13 Jiahao Zhang , Shiheng Zhang , Jie Shen , Guang Lin

The Error Diffusion Learning Algorithm (EDLA) is a learning scheme that performs synaptically local weight updates driven by a single, globally defined error signal. Although originally proposed as an alternative to backpropagation, its…

Machine Learning · Computer Science 2026-03-31 Kazuhisa Fujita

We introduce a model-based deep learning architecture termed MoDL-MUSSELS for the correction of phase errors in multishot diffusion-weighted echo-planar MRI images. The proposed algorithm is a generalization of existing MUSSELS algorithm…

Computer Vision and Pattern Recognition · Computer Science 2019-10-23 Hemant Kumar Aggarwal , Merry P. Mani , Mathews Jacob

This work demonstrates that neural operator learning provides a powerful and flexible framework for building fast, accurate emulators of moving boundary systems, enabling their integration into digital twin platforms. To this end, a Deep…

Machine Learning · Computer Science 2025-12-24 Marco A. Iglesias , Michael. E. Causon , Mikhail Y. Matveev , Andreas Endruweit , Michael . V. Tretyakov

Recent developments in mechanical, aerospace, and structural engineering have driven a growing need for efficient ways to model and analyse structures at much larger and more complex scales than before. While established numerical methods…

Machine Learning · Computer Science 2025-07-29 Rui Wu , Nikola Kovachki , Burigede Liu

The (inverse) discrete Fourier transform (DFT/IDFT) is often perceived as essential to orthogonal frequency-division multiplexing (OFDM) systems. In this paper, a deep complex-valued convolutional network (DCCN) is developed to recover bits…

Signal Processing · Electrical Eng. & Systems 2021-05-07 Zhongyuan Zhao , Mehmet C. Vuran , Fujuan Guo , Stephen D. Scott

Neural operators are capable of capturing nonlinear mappings between infinite-dimensional functional spaces, offering a data-driven approach to modeling complex functional relationships in classical density functional theory (cDFT). In this…

Numerical approximation methods for the Koopman operator have advanced considerably in the last few years. In particular, data-driven approaches such as dynamic mode decomposition (DMD) and its generalization, the extended-DMD (EDMD), are…

Dynamical Systems · Mathematics 2017-10-25 Qianxiao Li , Felix Dietrich , Erik M. Bollt , Ioannis G. Kevrekidis

Full Waveform Inversion (FWI) is an important geophysical technique considered in subsurface property prediction. It solves the inverse problem of predicting high-resolution Earth interior models from seismic data. Traditional FWI methods…

Deep learning (DL) is increasingly used to solve ill-posed inverse problems in imaging, such as reconstruction from noisy or incomplete data, as DL offers advantages over explicit image feature extractions in defining the needed prior.…

Image and Video Processing · Electrical Eng. & Systems 2019-05-20 Jinwei Zhang , Zhe Liu , Shun Zhang , Hang Zhang , Pascal Spincemaille , Thanh D. Nguyen , Mert R. Sabuncu , Yi Wang

We propose the Diffusion-Inversion-Net (DIN) framework for inverse modeling of groundwater flow and solute transport processes. DIN utilizes an offline-trained Denoising Diffusion Probabilistic Model (DDPM) as a powerful prior leaner, which…

Geophysics · Physics 2025-11-24 Xun Zhang , Weijie Yang , Jiangjiang Zhang , Simin Jiang

In this paper, we demonstrate a computationally efficient new approach based on deep learning (DL) techniques for analysis, design, and optimization of electromagnetic (EM) nanostructures. We use the strong correlation among features of a…

Machine Learning · Computer Science 2020-02-13 Yashar Kiarashinejad , Sajjad Abdollahramezani , Ali Adibi

State-of-the-art deep learning models have been extensively utilized to reconstruct small-scale structures from coarse-grained data in turbulent flows. However, their application has predominantly been restricted to structured uniform…

Fluid Dynamics · Physics 2026-03-03 Priyabrat Dash , Konduri Aditya , Christos E. Frouzakis , Mathis Bode

This paper shows that deep neural network (DNN) can be used for efficient and distributed channel estimation, quantization, feedback, and downlink multiuser precoding for a frequency-division duplex massive multiple-input multiple-output…

Information Theory · Computer Science 2021-01-27 Foad Sohrabi , Kareem M. Attiah , Wei Yu

With the rise of Software-Defined Networking (SDN) for managing traffic and ensuring seamless operations across interconnected devices, challenges arise when SDN controllers share infrastructure with deep learning (DL) workloads. Resource…

Networking and Internet Architecture · Computer Science 2025-07-04 Eyad Gad , Gad Gad , Mostafa M. Fouda , Mohamed I. Ibrahem , Muhammad Ismail , Zubair Md Fadlullah