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Approximation-based spectral graph neural networks, which construct graph filters with function approximation, have shown substantial performance in graph learning tasks. Despite their great success, existing works primarily employ…

机器学习 · 计算机科学 2025-05-21 Guoming Li , Jian Yang , Shangsong Liang

We have carried out extensive and detailed photoionization modeling to successfully constrain the locations of different emission-line galaxies in optical and mid-infrared diagnostic diagrams. Our model grids cover a wide range in parameter…

星系天体物理 · 物理学 2015-06-22 M. Meléndez , T. M. Heckman , M. Martínez-Paredes , S. B. Kraemer , C. Mendoza

The Gaussian Filter (GF) is one of the most widely used filtering algorithms; instances are the Extended Kalman Filter, the Unscented Kalman Filter and the Divided Difference Filter. GFs represent the belief of the current state by a…

机器人学 · 计算机科学 2015-06-09 Manuel Wüthrich , Sebastian Trimpe , Daniel Kappler , Stefan Schaal

The accuracy of a recently-developed closed-form GN nonlinear interference model is evaluated in experimental 1065 km S+C+L band WDM transmission with backward Raman pumping. The model accurately estimates the nonlinear interference and ASE…

Expectation maximization (EM) algorithm is to find maximum likelihood solution for models having latent variables. A typical example is Gaussian Mixture Model (GMM) which requires Gaussian assumption, however, natural images are highly…

机器学习 · 计算机科学 2018-12-04 Wentian Zhao , Shaojie Wang , Zhihuai Xie , Jing Shi , Chenliang Xu

We rederive from first principles and generalize the theoretical framework of the nonlinear Gaussian noise model to the case of coherent optical systems with multiple fiber types per span and ideal Nyquist spectra. We focus on the accurate…

信号处理 · 电气工程与系统科学 2020-09-15 I. Roudas , J. Kwapisz , X. Jiang

Enhanced Gaussian noise models are used to demonstrate that the per-block SNR after fibre transmission varies significantly due to the variable-composition nature of modern probabilistic shaping schemes. We propose a nonlinearity-optimised…

信号处理 · 电气工程与系统科学 2019-07-08 Tobias Fehenberger , Alex Alvarado

A generalized Gaussian process model (GGPM) is a unifying framework that encompasses many existing Gaussian process (GP) models, such as GP regression, classification, and counting. In the GGPM framework, the observation likelihood of the…

机器学习 · 统计学 2013-11-28 Lifeng Shang , Antoni B. Chan

Developing suitable approximate models for analyzing and simulating complex nonlinear systems is practically important. This paper aims at exploring the skill of a rich class of nonlinear stochastic models, known as the conditional Gaussian…

数值分析 · 数学 2022-06-01 Nan Chen , Yingda Li , Honghu Liu

We investigate C+L+S long-haul systems using a closed-form GN/EGN non-linearity model. We perform accurate launch power and Raman pump optimization. We show a potential 4x throughput increase over legacy C-band systems in 1000 km links,…

信号处理 · 电气工程与系统科学 2024-07-15 Y. Jiang , J. Sarkis , A. Nespola , F. Forghieri , S. Piciaccia , A. Tanzi , M. Ranjbar Zefreh , P. Poggiolini

Accurately simulating soft tissue deformation is crucial for surgical training, pre-operative planning, and real-time haptic feedback systems. While physics-based models such as the finite element method (FEM) provide high-fidelity results,…

图像与视频处理 · 电气工程与系统科学 2025-09-23 Madina Kojanazarova , Sidaty El Hadramy , Jack Wilkie , Georg Rauter , Philippe C. Cattin

Brain-Computer Interfaces (BCIs) rely on accurately decoding electroencephalography (EEG) motor imagery (MI) signals for effective device control. Graph Neural Networks (GNNs) outperform Convolutional Neural Networks (CNNs) in this regard,…

信号处理 · 电气工程与系统科学 2024-05-03 Htoo Wai Aung , Jiao Jiao Li , Yang An , Steven W. Su

This paper focuses on inhomogeneous quadratic tests, which involve the sum of a dependent non-central chi-square with a Gaussian random variable. Unfortunately, no closed-form expression is available for the statistical distribution of the…

应用统计 · 统计学 2018-10-12 Daniel Egea-Roca , Gonzalo Seco-Granados , José A. López-Salcedo

Since Shannon proved that Gaussian distribution is the optimum for a linear channel with additive white Gaussian noise and he calculated the corresponding channel capacity, it remains the most applied distribution in optical communications…

信息论 · 计算机科学 2016-10-26 Mariia Sorokina , Stylianos Sygletos , Sergei Turitsyn

Graph neural networks (GNNs) excel in graph representation learning by integrating graph structure and node features. Existing GNNs, unfortunately, fail to account for the uncertainty of class probabilities that vary with the depth of the…

机器学习 · 计算机科学 2025-06-17 Qingfeng Chen , Shiyuan Li , Yixin Liu , Shirui Pan , Geoffrey I. Webb , Shichao Zhang

Electromagnetic information theory (EIT) is one of the emerging topics for 6G communication due to its potential to reveal the performance limit of wireless communication systems. For EIT, the research foundation is reasonable and accurate…

信息论 · 计算机科学 2024-05-28 Zhongzhichao Wan , Jieao Zhu , Linglong Dai

Gaussian mixture filters for nonlinear systems usually rely on severe approximations when calculating mixtures in the prediction and filtering step. Thus, offline approximations of noise densities by Gaussian mixture densities to reduce the…

系统与控制 · 电气工程与系统科学 2025-06-02 Ondŕej Straka , Uwe D. Hanebeck

Graph neural networks (GNNs) are widely used for modelling graph-structured data in numerous applications. However, with their inherently finite aggregation layers, existing GNN models may not be able to effectively capture long-range…

机器学习 · 计算机科学 2022-02-23 Juncheng Liu , Kenji Kawaguchi , Bryan Hooi , Yiwei Wang , Xiaokui Xiao

Graph neural networks (GNNs) are powerful tools for handling graph-structured data. However, their design often limits them to learning only higher-order feature interactions, leaving low-order feature interactions overlooked. To address…

机器学习 · 计算机科学 2024-06-14 Minkyu Kim , Hyun-Soo Choi , Jinho Kim

Unlike the local density approximation (LDA) and the generalized gradient approximation (GGA), calculations with meta-generalized gradient approximations (meta-GGA) are usually done according to the generalized Kohn-Sham (gKS) formalism.…

材料科学 · 物理学 2016-06-01 Zeng-hui Yang , Haowei Peng , Jianwei Sun , John P. Perdew