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A robust algorithm for non-negative matrix factorization (NMF) is presented in this paper with the purpose of dealing with large-scale data, where the separability assumption is satisfied. In particular, we modify the Linear Programming…

机器学习 · 统计学 2014-01-10 Jason Gejie Liu , Shuchin Aeron

We consider the numerical approximation of the filtering problem in high dimensions, that is, when the hidden state lies in $\mathbb{R}^d$ with $d$ large. For low dimensional problems, one of the most popular numerical procedures for…

统计计算 · 统计学 2014-12-12 Alex Beskos , Dan Crisan , Ajay Jasra , Kengo Kamatani , Yan Zhou

Machine learning models perform well across domains such as diagnostics, weather forecasting, NLP, and autonomous driving, but their limited uncertainty handling restricts use in safety-critical settings. Traditional neural networks often…

机器学习 · 计算机科学 2025-12-01 Bernhard Klein , Falk Selker , Hendrik Borras , Sophie Steger , Franz Pernkopf , Holger Fröning

The particle filter is one of the most successful methods for state inference and identification of general non-linear and non-Gaussian models. However, standard particle filters suffer from degeneracy of the particle weights, in particular…

统计计算 · 统计学 2022-10-27 Anna Wigren , Lawrence Murray , Fredrik Lindsten

Feedback particle filter (FPF) is a Monte-Carlo (MC) algorithm to approximate the solution of a stochastic filtering problem. In contrast to conventional particle filters, the Bayesian update step in FPF is implemented via a mean-field type…

系统与控制 · 电气工程与系统科学 2021-02-23 Amirhossein Taghvaei , Prashant G. Mehta

This paper addresses the challenging problem of parameter estimation in bilinear systems under colored noise. A novel approach, termed B-PF-RLS, is proposed, combining a particle filter (PF) with a recursive least squares (RLS) estimator.…

系统与控制 · 电气工程与系统科学 2025-05-20 Khalid Abd El Mageed Hag Elamin

The demand for deploying deep convolutional neural networks (DCNNs) on resource-constrained devices for real-time applications remains substantial. However, existing state-of-the-art structured pruning methods often involve intricate…

计算机视觉与模式识别 · 计算机科学 2024-11-19 Abdesselam Ferdi , Abdelmalik Taleb-Ahmed , Amir Nakib , Youcef Ferdi

The deep convolutional neural network (DCNN) in computer vision has given promising results. It is widely applied in many areas, from medicine, agriculture, self-driving car, biometric system, and almost all computer vision-based…

计算机视觉与模式识别 · 计算机科学 2024-11-01 Gaurav Hirani , Waleed Abdulla

Convolutional Neural Network (CNN) has an amount of parameter redundancy, filter pruning aims to remove the redundant filters and provides the possibility for the application of CNN on terminal devices. However, previous works pay more…

计算机视觉与模式识别 · 计算机科学 2021-12-15 Pengkun Liu , Yaru Yue , Yanjun Guo , Xingxiang Tao , Xiaoguang Zhou

We propose a new sampling-based approach for approximate inference in filtering problems. Instead of approximating conditional distributions with a finite set of states, as done in particle filters, our approach approximates the…

机器学习 · 计算机科学 2020-03-03 Xuan Su , Wee Sun Lee , Zhen Zhang

In recent years, deep learning-based methods have been proposed for solving inverse scattering problems (ISPs), but most of them heavily rely on data and suffer from limited generalization capabilities. In this paper, a new solving scheme…

图像与视频处理 · 电气工程与系统科学 2026-02-19 Yutong Du , Zicheng Liu , Bazargul Matkerim , Changyou Li , Yali Zong , Bo Qi , Jingwei Kou

Feedback particle filter (FPF) is an algorithm to numerically approximate the solution of the nonlinear filtering problem in continuous time. The algorithm implements a feedback control law for a system of particles such that the empirical…

概率论 · 数学 2015-10-08 Amirhossein Taghvaei , Prashant G. Mehta

Fast and reliable solvers for optimal power flow (OPF) problems are attracting surging research interest. As surrogates of physical-model-based OPF solvers, neural network (NN) solvers can accelerate the solving process. However, they may…

机器学习 · 计算机科学 2023-01-11 Zuntao Hu , Hongcai Zhang

Particle filtering is a standard Monte-Carlo approach for a wide range of sequential inference tasks. The key component of a particle filter is a set of particles with importance weights that serve as a proxy of the true posterior…

机器学习 · 计算机科学 2022-09-02 Ruizhi Deng , Greg Mori , Andreas M. Lehrmann

Diffusion models have gained prominence as powerful generative tools for solving inverse problems due to their ability to model complex data distributions. However, existing methods typically rely on complete knowledge of the forward…

机器学习 · 计算机科学 2026-03-03 Hongkun Dou , Zike Chen , Zeyu Li , Hongjue Li , Lijun Yang , Yue Deng

Based on probability density evolution method (PDEM) and Bayes law, a new filter strategy is proposed, in which the prior probability of system state of interest is predicted by solving the general density evolution equation (GDEE), the…

信号处理 · 电气工程与系统科学 2021-07-21 Yazhou Xu

Message passing Graph Neural Networks (GNNs) are known to be limited in expressive power by the 1-WL color-refinement test for graph isomorphism. Other more expressive models either are computationally expensive or need preprocessing to…

机器学习 · 计算机科学 2024-02-01 Mohammed Haroon Dupty , Yanfei Dong , Wee Sun Lee

For challenging state estimation problems arising in domains like vision and robotics, particle-based representations attractively enable temporal reasoning about multiple posterior modes. Particle smoothers offer the potential for more…

机器学习 · 计算机科学 2025-02-18 Ali Younis , Erik B. Sudderth

Deep neural networks (DNNs) have demonstrated remarkable success in various fields. However, the large number of floating-point operations (FLOPs) in DNNs poses challenges for their deployment in resource-constrained applications, e.g.,…

人工智能 · 计算机科学 2024-02-20 Mengnan Jiang , Jingcun Wang , Amro Eldebiky , Xunzhao Yin , Cheng Zhuo , Ing-Chao Lin , Grace Li Zhang

This paper deals with state estimation of stochastic models with linear state dynamics, continuous or discrete in time. The emphasis is laid on a numerical solution to the state prediction by the time-update step of the grid-point-based…

系统与控制 · 电气工程与系统科学 2024-03-21 J. Matoušek , J. Duník , M. Brandner