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The modeling of optical wave propagation in optical fiber is a task of fast and accurate solving the nonlinear Schr\"odinger equation (NLSE), and can enable the optical system design, digital signal processing verification and fast waveform…

Signal Processing · Electrical Eng. & Systems 2022-05-17 Hang Yang , Zekun Niu , Haochen Zhao , Shilin Xiao , Weisheng Hu , Lilin Yi

Extensions of the split-step Fourier method (SSFM) for Schr\"odinger-type pulse propagation equations for simulating femto-second pulses in single- and two-mode optical communication fibers are developed and tested for Gaussian pulses. The…

Numerical Analysis · Mathematics 2015-04-07 Ralf Deiterding , Stephen W. Poole

Fast and accurate waveform simulation is critical for understanding fiber channel characteristics, developing digital signal processing (DSP) technologies, optimizing optical network configurations, and advancing the optical fiber…

Signal Processing · Electrical Eng. & Systems 2025-11-04 Minghui Shi , Hang Yang , Zekun Niu , Chuyan Zeng , Junzhe Xiao , Yunfan Zhang , Mingzhe Chen , Weisheng Hu , Lilin Yi

Neural networks find widespread use in scientific and technological applications, yet their implementations in conventional computers have encountered bottlenecks due to ever-expanding computational needs. Photonic neuromorphic hardware,…

As deep learning applications continue to deploy increasingly large artificial neural networks, the associated high energy demands are creating a need for alternative neuromorphic approaches. Optics and photonics are particularly compelling…

Optics · Physics 2025-08-19 Nicola Dal Cin , Florian Marquardt , Clara C. Wanjura

In this paper, we propose a Two-Step Linear Mixing Model (2LMM) that bridges the gap between model complexity and computational tractability. The model achieves this by introducing two distinct scaling steps: an endmember scaling step…

Image and Video Processing · Electrical Eng. & Systems 2025-12-04 Xander Haijen , Bikram Koirala , Xuanwen Tao , Paul Scheunders

The increasing penetration of renewable energy sources introduces significant uncertainty in power system operations, making traditional deterministic unit commitment approaches computationally expensive. This paper presents a machine…

Systems and Control · Electrical Eng. & Systems 2025-09-15 Amir Bahador Javadi , Amin Kargarian , Mort Naraghi-Pour

An efficient numerical algorithm is presented for massively parallel simulations of dispersion-managed wavelength-division-multiplexed optical fiber systems. The algorithm is based on a weak nonlinearity approximation and independent…

Pattern Formation and Solitons · Physics 2009-11-07 P. M. Lushnikov

This paper proposes a bootstrap-assisted procedure to conduct simultaneous inference for high dimensional sparse linear models based on the recent de-sparsifying Lasso estimator (van de Geer et al. 2014). Our procedure allows the dimension…

Statistics Theory · Mathematics 2016-03-07 Xianyang Zhang , Guang Cheng

In the design optimization of metal forming, it is increasingly significant to use surrogate models to analyse the finite element analysis (FEA) simulations. However, traditional surrogate models using scalar based machine learning methods…

Computer Vision and Pattern Recognition · Computer Science 2020-10-08 Haosu Zhou , Qingfeng Xu , Nan Li

LiDAR-based world models offer more structured and geometry-aware representations than their image-based counterparts. However, existing LiDAR world models are narrowly trained; each model excels only in the domain for which it was built.…

Computer Vision and Pattern Recognition · Computer Science 2025-10-23 Tianran Liu , Shengwen Zhao , Nicholas Rhinehart

Second-order nonlinear optical processes are used to convert light from one wavelength to another and to generate quantum entanglement. Creating chip-scale devices to more efficiently realize and control these interactions greatly increases…

Deep learning (DL) is a powerful tool in computational imaging for many applications. A common strategy is to reconstruct a preliminary image as the input of a neural network to achieve an optimized image. Usually, the preliminary image is…

Image and Video Processing · Electrical Eng. & Systems 2021-05-12 Ruibo Shang , Kevin Hoffer-Hawlik , Geoffrey P. Luke

High-quality mesh generation is the foundation of accurate finite element analysis. Due to the vast interior vertices search space and complex initial boundaries, mesh generation for complicated domains requires substantial manual…

Numerical Analysis · Mathematics 2023-05-02 Hua Tong , Kuanren Qian , Eni Halilaj , Yongjie Jessica Zhang

Inverse-designed nanophotonic media are a promising platform for compact optical neural networks, but training them end to end is expensive because each adjoint iteration couples the full-wave solver to the dataset minibatch, so the number…

Optics · Physics 2026-04-24 Azka Maula Iskandar Muda , Uğur Teğin

Extracting actionable information rapidly from data produced by instruments such as the Linac Coherent Light Source (LCLS-II) and Advanced Photon Source Upgrade (APS-U) is becoming ever more challenging due to high (up to TB/s) data rates.…

The conjugation of multiple spatial light modulators (SLMs) enables the construction of optical diffractive neural networks (DNNs). To accelerate training, which is limited by the low refresh rate of SLMs, spatial multiplexing of the input…

Optics · Physics 2026-05-20 Guillaume Noetinger , Tim Tuuva , Romain Fleury

Support vector machine (SVM) training is an active research area since the dawn of the method. In recent years there has been increasing interest in specialized solvers for the important case of linear models. The algorithm presented by…

Machine Learning · Statistics 2013-02-25 Tobias Glasmachers , Ürün Dogan

First-order stochastic methods are the state-of-the-art in large-scale machine learning optimization owing to efficient per-iteration complexity. Second-order methods, while able to provide faster convergence, have been much less explored…

Machine Learning · Statistics 2017-12-01 Naman Agarwal , Brian Bullins , Elad Hazan

Spiking Neural Networks (SNNs) offer a promising energy-efficient alternative to Artificial Neural Networks (ANNs) by utilizing sparse and asynchronous processing through discrete spike-based computation. However, the performance of deep…

Neural and Evolutionary Computing · Computer Science 2025-10-10 Eric Jahns , Davi Moreno , Michel A. Kinsy