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The principle of stationary phase (PSP) is re-examined in the context of linear time-frequency (TF) decomposition using Gaussian, gammatone and gammachirp filters at uniform, logarithmic and cochlear spacings in frequency. This necessitates…

信息论 · 计算机科学 2016-11-17 Bernard Mulgrew

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

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

In this paper, we present a framework for assessing the effect of non-stationary Gaussian noise and radio frequency interference (RFI) on the signal to noise ratio, the number of false positives detected per true positive and the…

天体物理仪器与方法 · 物理学 2017-04-19 E. van Heerden , A. Karastergiou , S. J. Roberts

Many recent advances in sequential assimilation of data into nonlinear high-dimensional models are modifications to particle filters which employ efficient searches of a high-dimensional state space. In this work, we present a complementary…

动力系统 · 数学 2020-12-10 John Maclean , Elaine T Spiller

Current strategies for solving image-based inverse problems apply latent diffusion models to perform posterior sampling.However, almost all approaches make no explicit attempt to explore the solution space, instead drawing only a single…

计算机视觉与模式识别 · 计算机科学 2024-08-27 Amir Nazemi , Mohammad Hadi Sepanj , Nicholas Pellegrino , Chris Czarnecki , Paul Fieguth

Weak lensing measurements are starting to provide statistical maps of the distribution of matter in the universe that are increasingly precise and complementary to cosmic microwave background maps. The probability distribution (PDF)…

天体物理学 · 物理学 2009-11-10 Tong-Jie Zhang , Ue-Li Pen

Neural Radiance Fields (NeRF) has become a popular framework for learning implicit 3D representations and addressing different tasks such as novel-view synthesis or depth-map estimation. However, in downstream applications where decisions…

计算机视觉与模式识别 · 计算机科学 2021-09-29 Jianxiong Shen , Adria Ruiz , Antonio Agudo , Francesc Moreno-Noguer

We construct a Gaussian random field (GRF) that combines fractional smoothness with spatially varying anisotropy. The GRF is defined through a stochastic partial differential equation (SPDE), where the range, marginal variance, and…

统计方法学 · 统计学 2025-12-23 Elling Svee , Geir-Arne Fuglstad

We present a Bayesian Neural Radiance Field (NeRF), which explicitly quantifies uncertainty in the volume density by modeling uncertainty in the occupancy, without the need for additional networks, making it particularly suited for…

计算机视觉与模式识别 · 计算机科学 2025-01-03 Sibeak Lee , Kyeongsu Kang , Seongbo Ha , Hyeonwoo Yu

A series of novel filters for probabilistic inference that propose an alternative way of performing Bayesian updates, called particle flow filters, have been attracting recent interest. These filters provide approximate solutions to…

统计方法学 · 统计学 2017-03-24 Flávio Eler De Melo , Simon Maskell , Matteo Fasiolo , Fred Daum

Recently, there has been a surge of interest in incorporating neural networks into particle filters, e.g. differentiable particle filters, to perform joint sequential state estimation and model learning for non-linear non-Gaussian…

机器学习 · 计算机科学 2025-01-07 Xiongjie Chen , Yunpeng Li

Particle Filter(PF) is used extensively for estimation of target Non-linear and Non-gaussian state. However, its performance suffers due to inherent problem of sample degeneracy and impoverishment. In order to address this, we propose a…

计算机视觉与模式识别 · 计算机科学 2018-06-12 Kapil Sharma , Gurjit Singh Walia , Ashish Kumar , Astitwa Saxena , Kuldeep Singh

The decentralized particle filter (DPF) was proposed recently to increase the level of parallelism of particle filtering. Given a decomposition of the state space into two nested sets of variables, the DPF uses a particle filter to sample…

机器学习 · 统计学 2012-03-13 Mohamed Osama Ahmed , Pouyan T. Bibalan , Nando de Freitas , Simon Fauvel

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…

统计方法学 · 统计学 2025-02-11 Chengxin Gong , Wei Lin , Cheng Zhang

Due to the limitations of the robotic sensors, during a robotic manipulation task, the acquisition of the object's state can be unreliable and noisy. Combining an accurate model of multi-body dynamic system with Bayesian filtering methods…

机器人学 · 计算机科学 2023-10-10 Shuai Li , Siwei Lyu , Jeff Trinkle

Particle-optimization-based sampling (POS) is a recently developed effective sampling technique that interactively updates a set of particles. A representative algorithm is the Stein variational gradient descent (SVGD). We prove, under…

机器学习 · 统计学 2020-03-31 Jianyi Zhang , Ruiyi Zhang , Lawrence Carin , Changyou Chen

3D Gaussian Splatting (3DGS) enables fast, high-quality novel view synthesis but typically relies on densification followed by pruning to optimize the number of Gaussians. Existing mask-based pruning, such as MaskGS, regularizes the global…

计算机视觉与模式识别 · 计算机科学 2025-09-16 Ashkan Taghipour , Vahid Naghshin , Benjamin Southwell , Farid Boussaid , Hamid Laga , Mohammed Bennamoun

Particle filtering (PF) is an often used method to estimate the states of dynamical systems. A major limitation of the standard PF method is that the dimensionality of the state space increases as the time proceeds and eventually may cause…

统计计算 · 统计学 2019-08-30 Linjie Wen , Jiangqi Wu , Linjun Lu , Jinglai Li

Primordial non-Gaussianity (PNG) in Large Scale Structures is obfuscated by the many additional sources of non-linearity. Within the Effective Field Theory approach to Standard Perturbation Theory, we show that matter non-linearities in the…

宇宙学与河外天体物理 · 物理学 2016-08-31 Yvette Welling , Drian van der Woude , Enrico Pajer