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Full waveform inversion (FWI) is a large-scale nonlinear ill-posed problem for which computationally expensive Newton-type methods can become trapped in undesirable local minima, particularly when the initial model lacks a low-wavenumber…

地球物理 · 物理学 2024-02-23 Ali Gholami

Knowing only two high-order statistical moments of modulation symbols, often represented by the fourth moment called "kurtosis", the overestimation of nonlinear interference (NLI) in a Gaussian noise (GN) model due to Gaussian signaling…

信号处理 · 电气工程与系统科学 2022-06-22 Junho Cho , Robert Tkach

We formulated a closed-form EGN model for nonlinear interference in ultra-wideband optical systems with arbitrary Raman amplification. This model enhanced the CISCO-POLITO-CFM5 performance by introducing a novel contribution attributed to…

信号处理 · 电气工程与系统科学 2024-05-15 Yanchao Jiang , Pierluigi Poggiolini

We show how to extend the enhanced Gaussian noise (EGN) model to account for polarization-dependent loss (PDL) of optical devices placed along a fiber-optic link. We provide a comprehensive theory highlighting the relationships between the…

信号处理 · 电气工程与系统科学 2020-07-06 Paolo Serena , Chiara Lasagni , Alberto Bononi

Ultrafast accurate physical layer models are essential for designing, optimizing and managing ultrawideband optical transmission systems. We present a closed-form GN/EGN model based on a recent analytical breakthrough, improving…

信号处理 · 电气工程与系统科学 2025-04-08 Pierluigi Poggiolini , Yanchao Jiang

We develop and present a generalization of the GN-model - the generalized Gaussian noise (GGN) model - to enabling a fair application of GN-model to predict generation of nonlinear interference when loss parameters relevantly vary with…

光学 · 物理学 2018-06-25 Mattia Cantono , Dario Pilori , Alessio Ferrari , Vittorio Curri

The channel capacity of a nonlinear, dispersive fiber-optic link is revisited. To this end, the popular Gaussian noise (GN) model is extended with a parameter to account for the finite memory of realistic fiber channels. This finite-memory…

信息论 · 计算机科学 2015-01-07 Erik Agrell , Alex Alvarado , Giuseppe Durisi , Magnus Karlsson

An analytical model to estimate nonlinear performance in ultra-wideband optical transmission networks is presented. The model accurately accounts for inter-channel stimulated Raman scattering, variably loaded fibre spans and is validated…

信号处理 · 电气工程与系统科学 2019-01-31 Daniel Semrau , Eric Sillekens , Robert I. Killey , Polina Bayvel

Ultrafast and accurate physical layer models are essential for designing, optimizing and managing ultra-wideband optical transmission systems. We present a closed-form GN/EGN model, named Polynomial Closed-Form Model (PCFM), improving…

信号处理 · 电气工程与系统科学 2025-09-01 Pierluigi Poggiolini , Yanchao Jiang , Yifeng Gao , Fabrizio Forghieri

Generalized linear models (GLMs) arguably represent the standard approach for statistical regression beyond the Gaussian likelihood scenario. When Bayesian formulations are employed, the general absence of a tractable posterior distribution…

统计计算 · 统计学 2024-07-03 Niccolò Anceschi , Augusto Fasano , Beatrice Franzolini , Giovanni Rebaudo

A Gaussian noise (GN) model is presented that properly accounts for an arbitrary frequency dependent signal power profile along the link. This enables the evaluation of the impact of inter-channel stimulated Raman scattering (ISRS) on the…

信号处理 · 电气工程与系统科学 2018-07-04 Daniel Semrau , Polina Bayvel

Strong lensing of background galaxies provides important information about the matter distribution around lens galaxies. Traditional modelling of such strong lenses is both time and resource intensive. Fast and automated analysis methods…

宇宙学与河外天体物理 · 物理学 2025-06-09 Priyanka Gawade , Anupreeta More , Surhud More , Akisato Kimura , Alessandro Sonnenfeld , Masamune Oguri , Naoki Yoshida

Graph neural networks (GNNs) have become a core paradigm for learning on relational data. In materials science, equivariant GNNs (EGNNs) have emerged as a compelling backbone for crystalline-structure prediction, owing to their ability to…

机器学习 · 计算机科学 2025-10-08 Yang Cao , Zhao Song , Jiahao Zhang , Jiale Zhao

An ML model based on precomputed per-channel SCI is proposed. Due to its superior accuracy over closed-form GN, an average SNR gain of 1.1 dB in an end-to-end link optimization and a 40% reduction in required lightpaths to meet traffic…

网络与互联网体系结构 · 计算机科学 2021-12-09 Jasper Müller , Sai Kireet Patri , Tobias Fehenberger , Carmen Mas-Machuca , Helmut Griesser , Jörg-Peter Elbers

Equivariant Graph Neural Networks (eGNNs) trained on density-functional theory (DFT) data can potentially perform electronic structure prediction at unprecedented scales, enabling investigation of the electronic properties of materials with…

The generalized Gauss-Newton (GGN) optimization method incorporates curvature estimates into its solution steps, and provides a good approximation to the Newton method for large-scale optimization problems. GGN has been found particularly…

机器学习 · 计算机科学 2024-04-24 Adeyemi D. Adeoye , Philipp Christian Petersen , Alberto Bemporad

We develop approximate estimation methods for exponential random graph models (ERGMs), whose likelihood is proportional to an intractable normalizing constant. The usual approach approximates this constant with Monte Carlo simulations,…

统计方法学 · 统计学 2023-01-11 Angelo Mele , Lingjiong Zhu

We present Exact Gauss-Newton (EGN), a stochastic second-order optimization algorithm that combines the generalized Gauss-Newton (GN) Hessian approximation with low-rank linear algebra to compute the descent direction. Leveraging the…

机器学习 · 计算机科学 2025-10-16 Mikalai Korbit , Adeyemi D. Adeoye , Alberto Bemporad , Mario Zanon

Sequential Bayesian Filtering aims to estimate the current state distribution of a Hidden Markov Model, given the past observations. The problem is well-known to be intractable for most application domains, except in notable cases such as…

机器学习 · 统计学 2024-02-16 Théophile Cantelobre , Carlo Ciliberto , Benjamin Guedj , Alessandro Rudi

To enhance the reliability and credibility of graph neural networks (GNNs) and improve the transparency of their decision logic, a new field of explainability of GNNs (XGNN) has emerged. However, two major limitations severely degrade the…

机器学习 · 计算机科学 2025-05-26 Han Zhang , Yan Wang , Guanfeng Liu , Pengfei Ding , Huaxiong Wang , Kwok-Yan Lam