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Uncertainty estimation is an important task for critical problems, such as robotics and autonomous driving, because it allows creating statistically better perception models and signaling the model's certainty in its predictions to the…

计算机视觉与模式识别 · 计算机科学 2023-02-14 Illia Oleksiienko , Paraskevi Nousi , Nikolaos Passalis , Anastasios Tefas , Alexandros Iosifidis

We describe an apparatus for subgradient-following of the optimum of convex problems with variational penalties. In this setting, we receive a sequence $y_i,\ldots,y_n$ and seek a smooth sequence $x_1,\ldots,x_n$. The smooth sequence needs…

机器学习 · 计算机科学 2025-04-11 Kai-Chia Mo , Shai Shalev-Shwartz , Nisæl Shártov

This paper considers the problem of estimating linear dynamic system models when the observations are corrupted by random disturbances with nonstandard distributions. The paper is particularly motivated by applications where sensor…

统计方法学 · 统计学 2018-07-09 Johan Dahlin , Adrian Wills , Brett Ninness

A fundamental problem for waveform-agile radar systems is that the true environment is unknown, and transmission policies which perform well for a particular tracking instance may be sub-optimal for another. Additionally, there is a limited…

信息论 · 计算机科学 2021-10-25 Charles E. Thornton , R. Michael Buehrer , Anthony F. Martone

In this paper, we propose a direct multiobject tracking (MOT) approach for MIMO-radar signals that operates on raw sensor data via variational message passing (VMP). Unlike classical track-before-detect (TBD) methods, which often rely on…

信号处理 · 电气工程与系统科学 2025-03-20 Anders Malthe Westerkam , Jakob Möderl , Erik Leitinger , Troels Pedersen

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

Gaussian processes (GPs) are non-parametric probabilistic regression models that are popular due to their flexibility, data efficiency, and well-calibrated uncertainty estimates. However, standard GP models assume homoskedastic Gaussian…

机器学习 · 计算机科学 2025-01-08 Sebastian Ament , Elizabeth Santorella , David Eriksson , Ben Letham , Maximilian Balandat , Eytan Bakshy

Gaussian graphical model is one of the powerful tools to analyze conditional independence between two variables for multivariate Gaussian-distributed observations. When the dimension of data is moderate or high, penalized likelihood methods…

统计方法学 · 统计学 2025-01-24 Takahiro Onizuka , Shintaro Hashimoto

In this work, we present a new perspective on the origin and interpretation of adaptive filters. By applying Bayesian principles of recursive inference from the state-space model and using a series of simplifications regarding the structure…

信息检索 · 计算机科学 2025-07-02 Leszek Szczecinski , Jacob Benesty , Eduardo Vinicius Kuhn

In this paper, we propose a novel structural correlation filter combined with a multi-task Gaussian particle filter (KCF-GPF) model for robust visual tracking. We first present an assemble structure where several KCF trackers as weak…

计算机视觉与模式识别 · 计算机科学 2018-03-18 Manna Dai , Shuying Cheng , Xiangjian He , Dadong Wang

Using Bayesian transfer learning, we develop a particle filter approach for tracking a nonlinear dynamical model in a dual-tracking system where intensities of measurement noise for both sensors are asymmetric. The densities for Bayesian…

信号处理 · 电气工程与系统科学 2025-11-24 Omar A. Alotaibi , Brian L. Mark , Mohammad Reza Fasihi

Anomalies in economic and financial data -- often linked to rare yet impactful events -- are of theoretical interest, but can also severely distort inference. Although outlier-robust methodologies can be used, many researchers prefer…

统计方法学 · 统计学 2025-09-01 Monica Billio , Roberto Casarin , Fausto Corradin , Antonio Peruzzi

Variational Bayes (VB) has become a widely-used tool for Bayesian inference in statistics and machine learning. Nonetheless, the development of the existing VB algorithms is so far generally restricted to the case where the variational…

机器学习 · 计算机科学 2021-08-04 Minh-Ngoc Tran , Dang H. Nguyen , Duy Nguyen

Filtering and smoothing algorithms for linear discrete-time state-space models with skewed and heavy-tailed measurement noise are presented. The algorithms use a variational Bayes approximation of the posterior distribution of models that…

系统与控制 · 计算机科学 2015-06-30 Henri Nurminen , Tohid Ardeshiri , Robert Piché , Fredrik Gustafsson

The problem of estimating the dynamic direction of arrival of far field signals impinging on a uniform linear array, with mutual coupling effects, is addressed. This work proposes two novel approaches able to provide accurate solutions,…

信息论 · 计算机科学 2017-02-15 Matthew Hawes , Lyudmila Mihaylova , François Septier , Simon Godsill

In object tracking, outlier is one of primary factors which degrade performance of image-based tracking algorithms. In this respect, therefore, most of the existing methods simply discard detected outliers and pay little or no attention to…

计算机视觉与模式识别 · 计算机科学 2014-09-16 Jae-Yeong Lee , Wonpil Yu

4D millimeter-wave radar is a promising sensing modality for autonomous driving, yet effective 3D object detection from 4D radar and monocular images remains challenging. Existing fusion approaches either rely on instance proposals lacking…

计算机视觉与模式识别 · 计算机科学 2025-11-11 Xiaokai Bai , Chenxu Zhou , Lianqing Zheng , Si-Yuan Cao , Jianan Liu , Xiaohan Zhang , Yiming Li , Zhengzhuang Zhang , Hui-liang Shen

The awareness about moving objects in the surroundings of a self-driving vehicle is essential for safe and reliable autonomous navigation. The interpretation of LiDAR and camera data achieves exceptional results but typically requires to…

计算机视觉与模式识别 · 计算机科学 2025-07-08 Matthias Zeller , Vardeep S. Sandhu , Benedikt Mersch , Jens Behley , Michael Heidingsfeld , Cyrill Stachniss

We propose a novel numerical method for solving inverse problems subject to impulsive noises which possibly contain a large number of outliers. The approach is of Bayesian type, and it exploits a heavy-tailed t distribution for data noise…

数值分析 · 数学 2015-05-30 Bangti Jin

Principal component regression uses principal components as regressors. It is particularly useful in prediction settings with high-dimensional covariates. The existing literature treating of Bayesian approaches is relatively sparse. We…

统计方法学 · 统计学 2020-01-28 Philippe Gagnon , Mylène Bédard , Alain Desgagné