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The GN model of non-linear fiber propagation has been shown to overestimate the variance of non-linearity due to the signal Gaussianity approximation, leading to maximum reach predictions for realistic optical systems which may be…

Optics · Physics 2015-06-18 P. Poggiolini , G. Bosco , A. Carena , V. Curri , Y. Jiang , F. Forghieri

Group factor analysis (GFA) methods have been widely used to infer the common structure and the group-specific signals from multiple related datasets in various fields including systems biology and neuroimaging. To date, most available GFA…

Machine Learning · Computer Science 2018-09-25 Sikun Yang , Heinz Koeppl

Quantifying the complexity of feed-forward neural networks (FFNNs) remains challenging due to their nonlinear, hierarchical structure and numerous parameters. We apply generalized degrees of freedom (GDF) to measure model complexity in…

Methodology · Statistics 2026-02-17 Jia Zhou , Douglas Landsittel

Unlike their conventional use as estimators of probability density functions in reinforcement learning (RL), this paper introduces a novel function-approximation role for Gaussian mixture models (GMMs) as direct surrogates for Q-function…

Machine Learning · Computer Science 2025-12-23 Minh Vu , Konstantinos Slavakis

Efficient and effective drug-target binding affinity (DTBA) prediction is a challenging task due to the limited computational resources in practical applications and is a crucial basis for drug screening. Inspired by the good representation…

Biomolecules · Quantitative Biology 2022-06-15 Shuke Zhang , Yanzhao Jin , Tianmeng Liu , Qi Wang , Zhaohui Zhang , Shuliang Zhao , Bo Shan

Graph Neural Networks (GNNs), especially message-passing-based models, have become prominent in top-k recommendation tasks, outperforming matrix factorization models due to their ability to efficiently aggregate information from a broader…

Information Retrieval · Computer Science 2024-07-12 Yannis Karmim , Elias Ramzi , Raphaël Fournier-S'niehotta , Nicolas Thome

The generalized negative binomial distribution (GNB) is a new flexible family of discrete distributions that are mixed Poisson laws with the mixing generalized gamma (GG) distributions. This family of discrete distributions is very wide and…

Methodology · Statistics 2018-09-18 Andrey K. Gorshenin , Victor Yu. Korolev

Functional groups (FGs) are molecular substructures that are served as a foundation for analyzing and predicting chemical properties of molecules. Automatic discovery of FGs will impact various fields of research, including medicinal…

Machine Learning · Computer Science 2019-10-11 Phillip Pope , Soheil Kolouri , Mohammad Rostrami , Charles Martin , Heiko Hoffmann

Electron cryo-microscopy (cryo-EM) produces three-dimensional (3D) maps of the electrostatic potential of biological macromolecules, including proteins. Along with knowledge about the imaged molecules, cryo-EM maps allow de novo atomic…

Quantitative Methods · Quantitative Biology 2023-02-09 Kiarash Jamali , Dari Kimanius , Sjors H. W. Scheres

For a restricted class of potentials (harmonic+Gaussian potentials), we express the resolvent integral for the correlation functions of simple traces of powers of complex matrices of size $N$, in term of a determinant; this determinant is…

High Energy Physics - Theory · Physics 2009-11-11 M. C. Bergère

Convolutional neural networks (CNNs) provide flexible function approximations for a wide variety of applications when the input variables are in the form of images or spatial data. Although CNNs often outperform traditional statistical…

Methodology · Statistics 2024-05-24 Yeseul Jeon , Won Chang , Seonghyun Jeong , Sanghoon Han , Jaewoo Park

Machine Learning (ML) applications are proliferating in the enterprise. Relational data which are prevalent in enterprise applications are typically normalized; as a result, data has to be denormalized via primary/foreign-key joins to be…

Machine Learning · Computer Science 2021-03-22 Zhaoyue Chen , Nick Koudas , Zhe Zhang , Xiaohui Yu

Graph Convolutional Networks have made significant strides in Collabora-tive Filtering recommendations. However, existing GCN-based CF methods are mainly based on matrix factorization and incorporate some optimization tech-niques to enhance…

Information Retrieval · Computer Science 2023-05-16 Lingyuan Kong , Hao Ding , Guangwei Hu

The particle-flow (PF) algorithm is used in general-purpose particle detectors to reconstruct a comprehensive particle-level view of the collision by combining information from different subdetectors. A graph neural network (GNN) model,…

Data Analysis, Statistics and Probability · Physics 2021-11-29 Farouk Mokhtar , Raghav Kansal , Daniel Diaz , Javier Duarte , Joosep Pata , Maurizio Pierini , Jean-Roch Vlimant

Physics-based deep learning frameworks have shown to be effective in accurately modeling the dynamics of complex physical systems with generalization capability across problem inputs. Data-driven networks like GNN, Neural Operators have…

Machine Learning · Computer Science 2024-12-23 Rini Jasmine Gladstone , Hadi Meidani

Learning to optimize is a rapidly growing area that aims to solve optimization problems or improve existing optimization algorithms using machine learning (ML). In particular, the graph neural network (GNN) is considered a suitable ML model…

Machine Learning · Computer Science 2023-05-29 Ziang Chen , Jialin Liu , Xinshang Wang , Jianfeng Lu , Wotao Yin

Nowadays the development of new functional materials/chemical compounds using machine learning (ML) techniques is a hot topic and includes several crucial steps, one of which is the choice of chemical structure representation. Classical…

Computational Physics · Physics 2020-06-11 Vadim Korolev , Artem Mitrofanov , Alexandru Korotcov , Valery Tkachenko

Generalized network tomography (GNT) deals with estimation of link performance parameters for networks with arbitrary topologies using only end-to-end path measurements of pure unicast probe packets. In this paper, by taking advantage of…

Statistics Theory · Mathematics 2012-10-31 Gugan Thoppe

We construct flexible likelihoods for multi-output Gaussian process models that leverage neural networks as components. We make use of sparse variational inference methods to enable scalable approximate inference for the resulting class of…

Machine Learning · Statistics 2019-06-03 Martin Jankowiak , Jacob Gardner

Gaussian Mixture Models (GMMs) are a standard tool in data analysis. However, they face problems when applied to high-dimensional data (e.g., images) due to the size of the required full covariance matrices (CMs), whereas the use of…

Machine Learning · Computer Science 2023-08-29 Alexander Gepperth
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