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This work focuses on the critical aspect of accurate weight computation during the measurement incorporation phase of Gaussian mixture filters. The proposed novel approach computes weights by linearizing the measurement model about each…

统计方法学 · 统计学 2024-05-21 Dalton Durant , Andrey A. Popov , Renato Zanetti

The validity of estimation and smoothing parameter selection for the wide class of generalized additive models for location, scale and shape (GAMLSS) relies on the correct specification of a likelihood function. Deviations from such…

统计方法学 · 统计学 2019-11-14 William H. Aeberhard , Eva Cantoni , Giampiero Marra , Rosalba Radice

We introduce a methodology for robust Bayesian estimation with robust divergence (e.g., density power divergence or {\gamma}-divergence), indexed by a single tuning parameter. It is well known that the posterior density induced by robust…

统计方法学 · 统计学 2022-07-04 Shouto Yonekura , Shonosuke Sugasawa

Current tools for multivariate density estimation struggle when the density is concentrated near a nonlinear subspace or manifold. Most approaches require choice of a kernel, with the multivariate Gaussian by far the most commonly used.…

统计方法学 · 统计学 2021-10-07 Minerva Mukhopadhyay , Didong Li , David B Dunson

Reliable GNSS positioning in complex environments remains a critical challenge due to non-line-of-sight (NLOS) propagation, multipath effects, and frequent signal blockages. These effects can easily introduce large outliers into the raw…

机器人学 · 计算机科学 2025-10-02 Baoshan Song , Penggao Yan , Xiao Xia , Yihan Zhong , Weisong Wen , Li-Ta Hsu

Many systems for which compressive sensing is used today are dynamical. The common approach is to neglect the dynamics and see the problem as a sequence of independent problems. This approach has two disadvantages. Firstly, the temporal…

系统与控制 · 计算机科学 2013-09-30 Henrik Ohlsson , Michel Verhaegen , S. Shankar Sastry

The Kalman filter (KF) provides optimal recursive state estimates for linear-Gaussian systems and underpins applications in control, signal processing, and others. However, it is vulnerable to outliers in the measurements and process noise.…

系统与控制 · 电气工程与系统科学 2025-07-02 Alan Yang , Stephen Boyd

Existing state estimation algorithms for legged robots that rely on proprioceptive sensors often overlook foot slippage and leg deformation in the physical world, leading to large estimation errors. To address this limitation, we propose a…

机器人学 · 计算机科学 2024-11-19 Tianyi Zhang , Wenhan Cao , Chang Liu , Tao Zhang , Jiangtao Li , Shengbo Eben Li

The process of using one image to guide the filtering process of another one is called Guided Image Filtering (GIF). The main challenge of GIF is the structure inconsistency between the guidance image and the target image. Besides, noise in…

计算机视觉与模式识别 · 计算机科学 2017-03-29 Wei Liu , Xiaogang Chen , Chunhua Shen , Jingyi Yu , Qiang Wu , Jie Yang

We propose a new recursive estimator for linear dynamical systems under Gaussian process noise and non-Gaussian measurement noise. Specifically, we develop an approximate maximum a posteriori (MAP) estimator using dynamic programming and…

系统与控制 · 电气工程与系统科学 2025-09-09 Mohammad Hussein Yoosefian Nooshabadi , Laurent Lessard

In this paper we address the problem of building a class of robust factorization algorithms that solve for the shape and motion parameters with both affine (weak perspective) and perspective camera models. We introduce a Gaussian/uniform…

计算机视觉与模式识别 · 计算机科学 2020-12-16 Andrei Zaharescu , Radu Horaud

We present optimality results for robust Kalman filtering where robustness is understood in a distributional sense, i.e.; we enlarge the distribution assumptions made in the ideal model by suitable neighborhoods. This allows for outliers…

统计理论 · 数学 2010-04-21 Peter Ruckdeschel

Spatial perception is the backbone of many robotics applications, and spans a broad range of research problems, including localization and mapping, point cloud alignment, and relative pose estimation from camera images. Robust spatial…

机器学习 · 统计学 2019-07-31 Vasileios Tzoumas , Pasquale Antonante , Luca Carlone

Linear regression is ubiquitous in statistical analysis. It is well understood that conflicting sources of information may contaminate the inference when the classical normality of errors is assumed. The contamination caused by the light…

统计方法学 · 统计学 2019-06-13 Philippe Gagnon , Alain Desgagné , Mylène Bédard

Radar sensors are emerging as solutions for perceiving surroundings and estimating ego-motion in extreme weather conditions. Unfortunately, radar measurements are noisy and suffer from mutual interference, which degrades the performance of…

机器人学 · 计算机科学 2023-03-06 Hyungtae Lim , Kawon Han , Gunhee Shin , Giseop Kim , Songcheol Hong , Hyun Myung

Inertial measurement units are widely used in different fields to estimate the attitude. Many algorithms have been proposed to improve estimation performance. However, most of them still suffer from 1) inaccurate initial estimation, 2)…

机器人学 · 计算机科学 2021-07-28 Yujie Tang , Liang Hu , Qingrui Zhang , Wei Pan

In this paper, we propose a progressive Bayesian procedure, where the measurement information is continuously included into the given prior estimate (although we perform observations at discrete time steps). The key idea is to derive a…

系统与控制 · 计算机科学 2012-04-03 Uwe D. Hanebeck , Jannik Steinbring

This paper concerns Kalman filtering when the measurements of the process are censored. The censored measurements are addressed by the Tobit model of Type I and are one-dimensional with two censoring limits, while the (hidden) state vectors…

信号处理 · 电气工程与系统科学 2020-02-21 Kostas Loumponias , George Tsaklidis

Recursive estimation of nonlinear dynamical systems is an important problem that arises in several engineering applications. Consistent and accurate propagation of uncertainties is important to ensuring good estimation performance. It is…

系统与控制 · 计算机科学 2016-03-16 Dilshad Raihan Akkam Veettil , Suman Chakravorty

This paper is the second of a two-part series that discusses the implementation issues and test results of a robust Unscented Kalman Filter (UKF) for power system dynamic state estimation with non-Gaussian synchrophasor measurement noise.…

系统与控制 · 计算机科学 2020-06-02 Junbo Zhao , Lamine Mili