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Single-mode optical fibers (SMFs) have become the backbone of modern communication systems. However, their throughput is expected to reach its theoretical limit in the nearest future. Utilization of multimode fibers (MMFs) is considered as…

Neural and Evolutionary Computing · Computer Science 2022-09-30 Ivan Chuprov , Dmitry Efremenko , Jiexing Gao , Pavel Anisimov , Viacheslav Zemlyakov

In this paper, we propose a model-based machine-learning approach for dual-polarization systems by parameterizing the split-step Fourier method for the Manakov-PMD equation. The resulting method combines hardware-friendly time-domain…

Signal Processing · Electrical Eng. & Systems 2021-02-24 Rick M. Bütler , Christian Häger , Henry D. Pfister , Gabriele Liga , Alex Alvarado

In recent years, deep learning-based methods have been proposed for solving inverse scattering problems (ISPs), but most of them heavily rely on data and suffer from limited generalization capabilities. In this paper, a new solving scheme…

Image and Video Processing · Electrical Eng. & Systems 2026-02-19 Yutong Du , Zicheng Liu , Bazargul Matkerim , Changyou Li , Yali Zong , Bo Qi , Jingwei Kou

Recent diffusion probabilistic models (DPM) in the field of pansharpening have been gradually gaining attention and have achieved state-of-the-art (SOTA) performance. In this paper, we identify shortcomings in directly applying DPMs to the…

Computer Vision and Pattern Recognition · Computer Science 2024-04-18 Zihan Cao , Xiao Wu , Liang-Jian Deng

In this paper, a novel principle-driven fiber transmission model based on physical induced neural network (PINN) is proposed. Unlike data-driven models which regard fiber transmission problem as data regression tasks, this model views it as…

Signal Processing · Electrical Eng. & Systems 2022-04-20 Yubin Zang , Zhenming Yu , Kun Xu , Xingzeng Lan , Minghua Chen , Sigang Yang , Hongwei Chen

Machine learning for scientific applications faces the challenge of limited data. We propose a framework that leverages a priori known physics to reduce overfitting when training on relatively small datasets. A deep neural network is…

Machine Learning · Computer Science 2019-11-22 Jonathan B. Freund , Jonathan F. MacArt , Justin Sirignano

We utilize the Feature Decoupling Distributed (FDD) method to enhance the capability of deep learning to fit the Nonlinear Schrodinger Equation (NLSE), significantly reducing the NLSE loss compared to non decoupling model.

Signal Processing · Electrical Eng. & Systems 2024-11-08 Yunfan Zhang , Zekun Niu , Minghui Shi , Weisheng Hu , Lilin Yi

The nonlinear Schr\"odinger equation (NLSE) is a fundamental model for wave dynamics in nonlinear media ranging from optical fibers to Bose-Einstein condensates. Accurately estimating its parameters, which are often strongly correlated,…

Quantum Physics · Physics 2025-09-24 Louis Rossignol , Tangui Aladjidi , Myrann Baker-Rasooli , Quentin Glorieux

An iterative method of learning has become a paradigm for training deep convolutional neural networks (DCNN). However, utilizing a non-iterative learning strategy can accelerate the training process of the DCNN and surprisingly such…

Machine Learning · Computer Science 2018-09-18 Yimin Yang , Q. M. Jonathan Wu , Xiexing Feng , Thangarajah Akilan

We introduce \emph{Dynamical Physics-Modeled Neural Networks} (DynPMNNs), a continuous-time deep learning architecture in which each hidden layer is defined as the solution of an ordinary differential equation. Unlike classical feed-forward…

Machine Learning · Computer Science 2026-05-12 Raul Felipe-Sosa , Angel Martin del Rey , Maria Flores Ceballos

Signal propagation in an optical fiber can be described by the nonlinear Schr\"odinger equation (NLSE). The NLSE has no known closed-form solution, mostly due to the interaction of dispersion and nonlinearities. In this paper, we present a…

Signal Processing · Electrical Eng. & Systems 2024-01-25 Vinícius Oliari , Erik Agrell , Gabriele Liga , Alex Alvarado

While filtered back projection (FBP) is still the method of choice for fast tomographic reconstruction, its performance degrades noticeably in the presence of noise, incomplete sampling, or non-standard scan geometries. We propose a…

Numerical Analysis · Mathematics 2026-02-16 Hamid Fathi , Alexander Skorikov , Tristan van Leeuwen

Pulse shaping for coherent optical fiber communication has been an active area of research for the past decade. Most of the early schemes are based on classic Nyquist pulse shaping that was originally intended for linear channels. The best…

Information Theory · Computer Science 2022-07-14 Tim Uhlemann , Alexander Span , Sebastian Dörner , Stephan ten Brink

The propagation of pulses in optical fibers is described by the generalized nonlinear Schrodinger equation (GNLSE), which takes into account the fiber losses, nonlinear effects, and higher-order chromatic dispersion. The GNLSE is a partial…

In this article, we introduce and analyze a deep learning based approximation algorithm for SPDEs. Our approach employs neural networks to approximate the solutions of SPDEs along given realizations of the driving noise process. If applied…

Numerical Analysis · Mathematics 2025-10-21 Christian Beck , Sebastian Becker , Patrick Cheridito , Arnulf Jentzen , Ariel Neufeld

We propose efficient modelling of optical fiber channel via NLSE-constrained physics-informed neural operator without reference solutions. This method can be easily scalable for distance, sequence length, launch power, and signal formats,…

Signal Processing · Electrical Eng. & Systems 2022-08-19 Yuchen Song , Danshi Wang , Qirui Fan , Xiaotian Jiang , Xiao Luo , Min Zhang

Nonlinear and dispersive transmission impairments in coherent fiber-optic communication systems are often compensated by reverting the nonlinear Schr\"odinger equation, which describes the evolution of the signal in the link, numerically.…

Information Theory · Computer Science 2015-09-30 Sander Wahls , Son T. Le , Jaroslaw E. Prilepsky , H. Vincent Poor , Sergei K. Turitsyn

Kerr nonlinearity in the form of self- and cross-phase modulation imposes a fundamental limitation to the capacity of wavelength division multiplexed (WDM) optical communication systems. Digital back-propagation (DBP), that requires solving…

Signal Processing · Electrical Eng. & Systems 2024-02-15 Stavros Deligiannidis , Kyle R. H. Bottrill , Kostas Sozos , Charis Mesaritakis , Periklis Petropoulos , Adonis Bogris

The reconstruction of physical fields from sparse measurements is pivotal in both scientific research and engineering applications. Traditional methods are increasingly supplemented by deep learning models due to their efficacy in…

Fluid Dynamics · Physics 2024-09-27 Zeyu Li , Hongkun Dou , Shen Fang , Wang Han , Yue Deng , Lijun Yang

Fiber nonlinearity represents a critical challenge to the capacity enhancement of modern optical communication systems. In recent years, significant research efforts have focused on mitigating its impact through two complementary…

Information Theory · Computer Science 2025-05-22 Stella Civelli , Dario Cellini , Enrico Forestieri , Marco Secondini