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Particle filters contain the promise of fully nonlinear data assimilation. They have been applied in numerous science areas, but their application to the geosciences has been limited due to their inefficiency in high-dimensional systems in…

Particle filters for data assimilation in nonlinear problems use "particles" (replicas of the underlying system) to generate a sequence of probability density functions (pdfs) through a Bayesian process. This can be expensive because a…

数值分析 · 数学 2009-05-15 Alexandre J. Chorin , Xuemin Tu

The probability density function of stochastic differential equations is governed by the Fokker-Planck (FP) equation. A novel machine learning method is developed to solve the general FP equations based on deep neural networks. The proposed…

计算物理 · 物理学 2020-02-19 Yong Xu , Hao Zhang , Yongge Li , Kuang Zhou , Qi Liu , Jürgen Kurths

Particle Flow Filters perform the measurement update by moving particles to a different location rather than modifying the particles' weight based on the likelihood. Their movement (flow) is dictated by a drift term, which continuously…

计算工程、金融与科学 · 计算机科学 2025-07-04 Simone Servadio

While Bayesian neural networks (BNNs) have drawn increasing attention, their posterior inference remains challenging, due to the high-dimensional and over-parameterized nature. To address this issue, several highly flexible and scalable…

机器学习 · 统计学 2019-05-10 Ziyu Wang , Tongzheng Ren , Jun Zhu , Bo Zhang

We present a provable, sampling-based approach for generating compact Convolutional Neural Networks (CNNs) by identifying and removing redundant filters from an over-parameterized network. Our algorithm uses a small batch of input data…

机器学习 · 计算机科学 2020-03-24 Lucas Liebenwein , Cenk Baykal , Harry Lang , Dan Feldman , Daniela Rus

We present a reformulation of stochastic global optimization as a filtering problem. The motivation behind this reformulation comes from the fact that for many optimization problems we cannot evaluate exactly the objective function to be…

数值分析 · 数学 2009-12-22 Panagiotis Stinis

Convolutional neural networks (CNNs) based solutions have achieved state-of-the-art performances for many computer vision tasks, including classification and super-resolution of images. Usually the success of these methods comes with a cost…

计算机视觉与模式识别 · 计算机科学 2019-12-24 Yawei Li , Shuhang Gu , Luc Van Gool , Radu Timofte

Implicit particle filtering is a sequential Monte Carlo method for data assim- ilation, designed to keep the number of particles manageable by focussing attention on regions of large probability. These regions are found by min- imizing, for…

数值分析 · 数学 2015-05-30 Matthias Morzfeld , Alexandre J. Chorin

An exploit of the Sequential Importance Sampling (SIS) algorithm using Differential Algebra (DA) techniques is derived to develop an efficient particle filter. The filter creates an original kind of particles, called scout particles, that…

信息论 · 计算机科学 2024-08-21 Simone Servadio

Real life signals are in general non--stationary and non--linear. The development of methods able to extract their hidden features in a fast and reliable way is of high importance in many research fields. In this work we tackle the problem…

数值分析 · 数学 2018-10-26 Antonio Cicone , Haomin Zhou

It is not easy to design and run Convolutional Neural Networks (CNNs) due to: 1) finding the optimal number of filters (i.e., the width) at each layer is tricky, given an architecture; and 2) the computational intensity of CNNs impedes the…

机器学习 · 计算机科学 2019-05-14 Xiaohan Ding , Guiguang Ding , Yuchen Guo , Jungong Han , Chenggang Yan

We present PFNN, a penalty-free neural network method, to efficiently solve a class of second-order boundary-value problems on complex geometries. To reduce the smoothness requirement, the original problem is reformulated to a weak form so…

数值分析 · 数学 2021-02-03 Hailong Sheng , Chao Yang

This paper presents the construction of a particle filter, which incorporates elements inspired by genetic algorithms, in order to achieve accelerated adaptation of the estimated posterior distribution to changes in model parameters.…

机器学习 · 统计学 2018-06-15 Karol Gellert , Erik Schlögl

Convolutional neural networks (CNNs) have shown state-of-the-art performance in various applications. However, CNNs are resource-hungry due to their requirement of high computational complexity and memory storage. Recent efforts toward…

机器学习 · 计算机科学 2025-08-27 Arshdeep Singh , Mark D. Plumbley

This paper is concerned with the problem of tracking single or multiple targets with multiple non-target specific observations (measurements). For such filtering problems with data association uncertainty, a novel feedback control-based…

概率论 · 数学 2014-04-18 Tao Yang , Prashant G. Mehta

Reinforcement learning is a growing field in AI with a lot of potential. Intelligent behavior is learned automatically through trial and error in interaction with the environment. However, this learning process is often costly. Using…

Deep learning methods are powerful tools but often suffer from expensive computation and limited flexibility. An alternative is to combine light-weight models with deep representations. As successful cases exist in several visual problems,…

计算机视觉与模式识别 · 计算机科学 2015-09-25 Bin Yang , Junjie Yan , Zhen Lei , Stan Z. Li

Particle filtering is a numerical Bayesian technique that has great potential for solving sequential estimation problems involving non-linear and non-Gaussian models. Since the estimation accuracy achieved by particle filters improves as…

统计计算 · 统计学 2017-11-22 Jeyarajan Thiyagalingam , Lykourgos Kekempanos , Simon Maskell

Bayesian filtering is a well-known problem that aims to estimate plausible states of a dynamical system from observations. Among existing approaches to solve this problem, particle filters are theoretically exact for non-linear dynamics and…

机器学习 · 计算机科学 2026-05-20 Thomas Savary , François Rozet , Gilles Louppe