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This paper presents a fast computational method, the Expectation Maximization algorithm, for Maximum Likelihood (ML) estimation in diffusion tensor imaging under the Rice noise model. We further extend the ML framework to the maximum a…

Computation · Statistics 2015-01-09 Jia Liu , Dario Gasbarra , Juha Railavo

This paper presents a robust probabilistic point registration method for estimating the rigid transformation (i.e. rotation matrix and translation vector) between two pointcloud dataset. The method improves the robustness of point…

Computer Vision and Pattern Recognition · Computer Science 2019-12-12 Saman Fahandezh-Saadi , Di Wang , Masayoshi Tomizuka

Pel-recursive motion estimation isa well-established approach. However, in the presence of noise, it becomes an ill-posed problem that requires regularization. In this paper, motion vectors are estimated in an iterative fashion by means of…

Computer Vision and Pattern Recognition · Computer Science 2014-03-31 Vania Vieira Estrela , Marcos Henrique da Silva Bassani

In this paper, we propose a dynamical systems perspective of the Expectation-Maximization (EM) algorithm. More precisely, we can analyze the EM algorithm as a nonlinear state-space dynamical system. The EM algorithm is widely adopted for…

Optimization and Control · Mathematics 2018-10-05 Orlando Romero , Sarthak Chatterjee , Sérgio Pequito

The Expectation Maximization (EM) algorithm is a key reference for inference in latent variable models; unfortunately, its computational cost is prohibitive in the large scale learning setting. In this paper, we propose an extension of the…

Machine Learning · Statistics 2020-11-26 Gersende Fort , Eric Moulines , Hoi-To Wai

Localization has been a challenging task for autonomous navigation. A loop detection algorithm must overcome environmental changes for the place recognition and re-localization of robots. Therefore, deep learning has been extensively…

Robotics · Computer Science 2023-04-19 Alex Junho Lee , Seungwon Song , Hyungtae Lim , Woojoo Lee , Hyun Myung

Extreme learning machine (ELM) is a network model that arbitrarily initializes the first hidden layer and can be computed speedily. In order to improve the classification performance of ELM, a $\ell_2$ and $\ell_{0.5}$ regularization ELM…

Optimization and Control · Mathematics 2023-01-05 Liangjuan Zhou , Wei Miao

Most of existing correlation filter-based tracking approaches only estimate simple axis-aligned bounding boxes, and very few of them is capable of recovering the underlying similarity transformation. To tackle this challenging problem, in…

Computer Vision and Pattern Recognition · Computer Science 2018-11-08 Yang Li , Jianke Zhu , Steven C. H. Hoi , Wenjie Song , Zhefeng Wang , Hantang Liu

In this paper, a B-spline chained multiple random matrices representation is proposed to model geometric characteristics of an elongated deformable object. The hyper degrees of freedom structure of the elongated deformable object make its…

Robotics · Computer Science 2020-04-14 Gang Yao , Ryan Saltus , Ashwin Dani

Finite mixture models have been widely used for the modelling and analysis of data from heterogeneous populations. Maximum likelihood estimation of the parameters is typically carried out via the Expectation-Maximization (EM) algorithm. The…

Computation · Statistics 2016-06-08 Sharon X Lee , Kaleb L Lee , Geoffrey J McLachlan

Expectation-Maximization (EM) algorithm is a widely used iterative algorithm for computing maximum likelihood estimate when dealing with Gaussian Mixture Model (GMM). When the sample size is smaller than the data dimension, this could lead…

Machine Learning · Statistics 2023-07-06 Pierre Houdouin , Matthieu Jonkcheere , Frederic Pascal

This paper describes a novel and fast, simple and robust algorithm with O(N) expected complexity which enables to decrease run time needed to find the maximum distance of two points in E2. It can be easily modified for the E3 case in…

Computational Geometry · Computer Science 2022-09-14 Vaclav Skala

The expectation--maximization (EM) algorithm combines global monotonicity, local linear convergence, and strong practical robustness, but these features are usually analyzed separately. Global descent is nonlinear, whereas local convergence…

Machine Learning · Statistics 2026-05-11 Qiao Wang

Previous methods decompose the blind super-resolution (SR) problem into two sequential steps: \textit{i}) estimating the blur kernel from given low-resolution (LR) image and \textit{ii}) restoring the SR image based on the estimated kernel.…

Computer Vision and Pattern Recognition · Computer Science 2021-05-17 Zhengxiong Luo , Yan Huang , Shang Li , Liang Wang , Tieniu Tan

Expectation-Maximization (EM) algorithm is a widely used iterative algorithm for computing (local) maximum likelihood estimate (MLE). It can be used in an extensive range of problems, including the clustering of data based on the Gaussian…

Machine Learning · Statistics 2023-03-28 Pierre Houdouin , Esa Ollila , Frederic Pascal

Long-term scene changes present challenges to localization systems using a pre-built map. This paper presents a LiDAR-based system that can provide robust localization against those challenges. Our method starts with activation of a mapping…

Robotics · Computer Science 2022-03-09 Bin Peng , Hongle Xie , Weidong Chen

Recently, Expectation-maximization (EM) algorithm has been introduced as an effective means to solve multi-view registration problem. Most of the previous methods assume that each data point is drawn from the Gaussian Mixture Model (GMM),…

Computer Vision and Pattern Recognition · Computer Science 2020-12-15 Yanlin Ma , Jihua Zhu , Zhongyu Li , Zhiqiang Tian , Yaochen Li

Autonomous vehicles have gained significant attention due to technological advancements and their potential to transform transportation. A critical challenge in this domain is precise localization, particularly in LiDAR-based map matching,…

Robotics · Computer Science 2025-01-07 Minoo Dolatabadi , Fardin Ayar , Ehsan Javanmardi , Manabu Tsukada , Mahdi Javanmardi

Statistical tracking filters depend on accurate target measurements and uncertainty estimates for good tracking performance. In this work, we propose novel machine learning models for target detection and uncertainty estimation in…

Computer Vision and Pattern Recognition · Computer Science 2024-07-04 Elizabeth Hou , Ross Greenwood , Piyush Kumar