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By approximating posterior distributions with weighted samples, particle filters (PFs) provide an efficient mechanism for solving non-linear sequential state estimation problems. While the effectiveness of particle filters has been…

Machine Learning · Computer Science 2023-12-15 Xiongjie Chen , Yunpeng Li

Particle filtering is a powerful approach to sequential state estimation and finds application in many domains, including robot localization, object tracking, etc. To apply particle filtering in practice, a critical challenge is to…

Robotics · Computer Science 2019-05-29 Peter Karkus , David Hsu , Wee Sun Lee

Particle Filtering (PF) methods are an established class of procedures for performing inference in non-linear state-space models. Resampling is a key ingredient of PF, necessary to obtain low variance likelihood and states estimates.…

Machine Learning · Statistics 2021-07-01 Adrien Corenflos , James Thornton , George Deligiannidis , Arnaud Doucet

The robust estimation of dynamically changing features, such as the position of prey, is one of the hallmarks of perception. On an abstract, algorithmic level, nonlinear Bayesian filtering, i.e. the estimation of temporally changing signals…

Neurons and Cognition · Quantitative Biology 2022-01-05 Anna Kutschireiter , Simone Carlo Surace , Henning Sprekeler , Jean-Pascal Pfister

Calculating true volatility is an essential task for option pricing and risk management. However, it is made difficult by market microstructure noise. Particle filtering has been proposed to solve this problem as it favorable statistical…

Statistical Finance · Quantitative Finance 2023-11-14 Robert Stok , Paul Bilokon

Recurrent neural networks (RNNs) have been extraordinarily successful for prediction with sequential data. To tackle highly variable and noisy real-world data, we introduce Particle Filter Recurrent Neural Networks (PF-RNNs), a new RNN…

Machine Learning · Computer Science 2019-12-03 Xiao Ma , Peter Karkus , David Hsu , Wee Sun Lee

We present differentiable particle filters (DPFs): a differentiable implementation of the particle filter algorithm with learnable motion and measurement models. Since DPFs are end-to-end differentiable, we can efficiently train their…

Machine Learning · Computer Science 2018-05-31 Rico Jonschkowski , Divyam Rastogi , Oliver Brock

Particle filters are a frequent choice for inference tasks in nonlinear and non-Gaussian state-space models. They can either be used for state inference by approximating the filtering distribution or for parameter inference by approximating…

Machine Learning · Computer Science 2026-02-27 Domonkos Csuzdi , Olivér Törő , Tamás Bécsi

A key challenge when designing particle filters in high-dimensional state spaces is the construction of a proposal distribution that is close to the posterior distribution. Recent advances in particle flow filters provide a promising avenue…

Methodology · Statistics 2017-06-30 Yunpeng Li , Mark Coates

State filtering is a key problem in many signal processing applications. From a series of noisy measurement, one would like to estimate the state of some dynamic system. Existing techniques usually adopt a Gaussian noise assumption which…

Methodology · Statistics 2016-12-16 Bin Liu

Although deep neural networks (NNs) have achievedstate-of-the-art accuracy in many visual recognition tasks,the growing computational complexity and energy con-sumption of networks remains an issue, especially for ap-plications on platforms…

Machine Learning · Computer Science 2020-02-26 Le Thanh Nguyen-Meidine , Eric Granger , Madhu Kiran , Louis-Antoine Blais-Morin , Marco Pedersoli

Differentiable particle filters are an emerging class of models that combine sequential Monte Carlo techniques with the flexibility of neural networks to perform state space inference. This paper concerns the case where the system may…

Machine Learning · Computer Science 2024-12-19 John-Joseph Brady , Yuhui Luo , Wenwu Wang , Victor Elvira , Yunpeng Li

The crucial step in designing a particle filter for a particular application is the choice of importance density. The optimal scheme is to use the conditional posterior density of the state, but this cannot be sampled or calculated…

Computation · Statistics 2014-08-15 Pete Bunch , Simon Godsill

The particle filter (PF) and the ensemble Kalman filter (EnKF) are widely used for approximate inference in state-space models. From a Bayesian perspective, these algorithms represent the prior by an ensemble of particles and update it to…

Methodology · Statistics 2025-02-11 Chengxin Gong , Wei Lin , Cheng Zhang

Filtering for stochastic reaction networks (SRNs) is an important problem in systems/synthetic biology aiming to estimate the state of unobserved chemical species. A good solution to it can provide scientists valuable information about the…

Quantitative Methods · Quantitative Biology 2021-10-18 Zhou Fang , Ankit Gupta , Mustafa Khammash

Neural networks (NN) have achieved state-of-the-art performance in various applications. Unfortunately in applications where training data is insufficient, they are often prone to overfitting. One effective way to alleviate this problem is…

Machine Learning · Computer Science 2016-11-03 Hao Wang , Xingjian Shi , Dit-Yan Yeung

State estimation in non-linear models is performed by tracking the posterior distribution recursively. A plethora of algorithms have been proposed for this task. Among them, the Gaussian particle filter uses a weighted set of particles to…

Signal Processing · Electrical Eng. & Systems 2022-07-05 Karthik Comandur , Yunpeng Li , Santosh Nannuru

This paper proposes a novel global optimization algorithm, Particle Filter-Based Optimization (PFO), designed for a class of stochastic optimization problems in which the objective function lacks an analytical form and is subject to noisy…

Optimization and Control · Mathematics 2025-06-23 Mostafa Eslami , Maryam Babazadeh

We introduce an auxiliary technique, called residual nudging, to the particle filter to enhance its performance in cases that it performs poorly. The main idea of residual nudging is to monitor, and if necessary, adjust the residual norm of…

Atmospheric and Oceanic Physics · Physics 2013-06-03 Xiaodong Luo , Ibrahim Hoteit

Resampling is a key component of sample-based recursive state estimation in particle filters. Recent work explores differentiable particle filters for end-to-end learning. However, resampling remains a challenge in these works, as it is…

Machine Learning · Computer Science 2020-04-28 Michael Zhu , Kevin Murphy , Rico Jonschkowski
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