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We propose a communication-efficient distributed estimation method for sparse linear discriminant analysis (LDA) in the high dimensional regime. Our method distributes the data of size $N$ into $m$ machines, and estimates a local sparse LDA…

Machine Learning · Statistics 2016-10-18 Lu Tian , Quanquan Gu

For computational acoustics, schemes need to have low-dispersion and low-dissipation properties in order to capture the amplitude and phase of the wave correctly. To improve the spectral properties of the scheme, the authors have previously…

Computational Physics · Physics 2021-11-15 Y. H. Li , Y. X. Ren , Y. T. Su

Particle smoothing methods are used for inference of stochastic processes based on noisy observations. Typically, the estimation of the marginal posterior distribution given all observations is cumbersome and computational intensive. In…

Machine Learning · Computer Science 2017-05-24 H. -Ch. Ruiz , H. J. Kappen

Bio-inspired optimization algorithms have been gaining more popularity recently. One of the most important of these algorithms is particle swarm optimization (PSO). PSO is based on the collective intelligence of a swam of particles. Each…

Neural and Evolutionary Computing · Computer Science 2013-12-09 Muhammad Marwan Muhammad Fuad

Diffusion-based image super-resolution (SR) methods have shown promise in reconstructing high-resolution images with fine details from low-resolution counterparts. However, these approaches typically require tens or even hundreds of…

Computer Vision and Pattern Recognition · Computer Science 2024-08-15 Xiao He , Huaao Tang , Zhijun Tu , Junchao Zhang , Kun Cheng , Hanting Chen , Yong Guo , Mingrui Zhu , Nannan Wang , Xinbo Gao , Jie Hu

The Radial Point Interpolation Mixed Collocation (RPIMC) method is proposed in this paper for transient analysis of diffusion problems. RPIMC is an efficient purely meshless method where the solution of the field variable is obtained…

Computational Engineering, Finance, and Science · Computer Science 2021-10-14 Konstantinos A. Mountris , Esther Pueyo

This article presents an innovative approach for developing an efficient reduced-order model to study the dispersion of urban air pollutants. The need for real-time air quality monitoring has become increasingly important, given the rise in…

Numerical Analysis · Mathematics 2023-05-29 Moaad Khamlich , Giovanni Stabile , Gianluigi Rozza , László Környei , Zoltán Horváth

Diffusion models play a pivotal role in contemporary generative modeling, claiming state-of-the-art performance across various domains. Despite their superior sample quality, mainstream diffusion-based stochastic samplers like DDPM often…

Machine Learning · Statistics 2024-10-08 Yuchen Wu , Yuxin Chen , Yuting Wei

Consider a population of $N$ individuals, each having $d\geq 1$ different traits, and an additive measure, called dispersion, which rewards large pairwise separations between traits. The goal is to select $M\leq N$ individuals such that…

Statistical Mechanics · Physics 2026-05-01 Fabio Deelan Cunden , Noemi Cuppone , Giovanni Gramegna , Pierpaolo Vivo

The numerical solution of spectral fractional diffusion problems in the form ${\mathcal A}^\alpha u = f$ is studied, where $\mathcal A$ is a selfadjoint elliptic operator in a bounded domain $\Omega\subset {\mathbb R}^d$, and $\alpha \in…

Numerical Analysis · Mathematics 2021-05-20 Stanislav Harizanov , Nikola Kosturski , Ivan Lirkov , Svetozar Margenov , Yavor Vutov

In recent years, several particle-based stochastic simulation algorithms (PSSA) have been developed to study the spatially resolved dynamics of biochemical networks at a molecular scale. A challenge all these approaches have to address is…

Quantitative Methods · Quantitative Biology 2011-07-04 Thorsten Prüstel , Martin Meier-Schellersheim

This letter proposes a sparse diffusion steepest-descent algorithm for one bit compressed sensing in wireless sensor networks. The approach exploits the diffusion strategy from distributed learning in the one bit compressed sensing…

Machine Learning · Statistics 2016-01-05 Hadi Zayyani , Mehdi Korki , Farrokh Marvasti

Optimization is nothing but a mathematical technique which finds maxima or minima of any function of concern in some realistic region. Different optimization techniques are proposed which are competing for the best solution. Particle Swarm…

Neural and Evolutionary Computing · Computer Science 2019-03-29 Vishakha A Metre , Mr Pramod B Deshmukh

In this paper we propose a Monte Carlo maximum likelihood estimation strategy for discretely observed Wright-Fisher diffusions. Our approach provides an unbiased estimator of the likelihood function and is based on exact simulation…

Statistics Theory · Mathematics 2024-06-11 Celia García-Pareja , Fabio Nobile

In this paper we present two efficient implementations of the diffusion approximation to be employed in Monte Carlo computations of radiative transfer in dusty media of massive circumstellar disks. The aim is to improve the accuracy of the…

Instrumentation and Methods for Astrophysics · Physics 2009-11-13 M. Min , C. P. Dullemond , C. Dominik , A. de Koter , J. W. Hovenier

Diffusion policies excel at robotic manipulation by naturally modeling multimodal action distributions in high-dimensional spaces. Nevertheless, diffusion policies suffer from diffusion representation collapse: semantically similar…

Artificial Intelligence · Computer Science 2026-04-23 Guowei Zou , Weibing Li , Hejun Wu , Yukun Qian , Yuhang Wang , Haitao Wang

A particle swarm optimizer (PSO) loosely based on the phenomena of crystallization and a chaos factor which follows the complimentary error function is described. The method features three phases: diffusion, directed motion, and nucleation.…

Neural and Evolutionary Computing · Computer Science 2018-02-13 Casey Kneale , Karl S. Booksh

Data Augmentation (DA), i.e., synthesizing faithful and diverse samples to expand the original training set, is a prevalent and effective strategy to improve the performance of various data-scarce tasks. With the powerful image generation…

Computer Vision and Pattern Recognition · Computer Science 2024-11-22 Yanghao Wang , Long Chen

In this paper we consider a continuous description based on stochastic differential equations of the popular particle swarm optimization (PSO) process for solving global optimization problems and derive in the large particle limit the…

Numerical Analysis · Mathematics 2020-12-11 Sara Grassi , Lorenzo Pareschi

Diffusion-based data augmentation (DiffDA) has emerged as a promising approach to improving classification performance under data scarcity. However, existing works vary significantly in task configurations, model choices, and experimental…

Computer Vision and Pattern Recognition · Computer Science 2026-03-10 Zekun Li , Yinghuan Shi , Yang Gao , Dong Xu
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