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We consider the problem of localizing a manned, semi-autonomous, or autonomous vehicle in the environment using information coming from the vehicle's sensors, a problem known as navigation or simultaneous localization and mapping (SLAM)…

Systems and Control · Electrical Eng. & Systems 2020-09-24 Paul Chauchat , Axel Barrau , Silvère Bonnabel

Variational inference with normalizing flows (NFs) is an increasingly popular alternative to MCMC methods. In particular, NFs based on coupling layers (Real NVPs) are frequently used due to their good empirical performance. In theory,…

Machine Learning · Statistics 2024-02-27 Daniel Andrade

Discrete state spaces represent a major computational challenge to statistical inference, since the computation of normalisation constants requires summation over large or possibly infinite sets, which can be impractical. This paper…

Methodology · Statistics 2023-09-04 Takuo Matsubara , Jeremias Knoblauch , François-Xavier Briol , Chris. J. Oates

One major drawback of state-of-the-art artificial intelligence is its lack of explainability. One approach to solve the problem is taking causality into account. Causal mechanisms can be described by structural causal models. In this work,…

Machine Learning · Statistics 2021-09-07 Nico Reick , Felix Wiewel , Alexander Bartler , Bin Yang

3D Gaussian Splatting (3DGS) has gained significant attention for its application in dense Simultaneous Localization and Mapping (SLAM), enabling real-time rendering and high-fidelity mapping. However, existing 3DGS-based SLAM methods often…

Robotics · Computer Science 2024-09-18 Ziheng Xu , Qingfeng Li , Chen Chen , Xuefeng Liu , Jianwei Niu

Visual-inertial SLAM is crucial in various fields, such as aerial vehicles, industrial robots, and autonomous driving. The fusion of camera and inertial measurement unit (IMU) makes up for the shortcomings of a signal sensor, which…

Robotics · Computer Science 2024-01-08 Jiaming He , Mingrui Li , Yangyang Wang , Hongyu Wang

Flow matching has emerged as a powerful generative modeling approach with flexible choices of source distribution. While Gaussian distributions are commonly used, the potential for better alternatives in high-dimensional data generation…

Computer Vision and Pattern Recognition · Computer Science 2025-12-23 Junho Lee , Kwanseok Kim , Joonseok Lee

Recently developed generative methods, including invertible rescaling network (IRN) based and generative adversarial network (GAN) based methods, have demonstrated exceptional performance in image rescaling. However, IRN-based methods tend…

Computer Vision and Pattern Recognition · Computer Science 2024-05-14 Jinmin Li , Tao Dai , Jingyun Zhang , Kang Liu , Jun Wang , Shaoming Wang , Shu-Tao Xia , Rizen Guo

We propose GauS-SLAM, a dense RGB-D SLAM system that leverages 2D Gaussian surfels to achieve robust tracking and high-fidelity mapping. Our investigations reveal that Gaussian-based scene representations exhibit geometry distortion under…

Computer Vision and Pattern Recognition · Computer Science 2025-05-06 Yongxin Su , Lin Chen , Kaiting Zhang , Zhongliang Zhao , Chenfeng Hou , Ziping Yu

We propose an accurate and robust initialization approach for stereo visual-inertial SLAM systems. Unlike the current state-of-the-art method, which heavily relies on the accuracy of a pure visual SLAM system to estimate inertial variables…

This paper presents a 3D lidar SLAM system based on improved regionalized Gaussian process (GP) map reconstruction to provide both low-drift state estimation and mapping in real-time for robotics applications. We utilize spatial GP…

Robotics · Computer Science 2023-03-10 Jianyuan Ruan , Bo Li , Yinqiang Wang , Zhou Fang

Beyond estimating parameters of interest from data, one of the key goals of statistical inference is to properly quantify uncertainty in these estimates. In Bayesian inference, this uncertainty is provided by the posterior distribution, the…

Machine Learning · Computer Science 2025-01-03 Daniela de Albuquerque , John Pearson

Normal priors with unknown variance (NUV) have long been known to promote sparsity and to blend well with parameter learning by expectation maximization (EM). In this paper, we advocate this approach for linear state space models for…

Information Theory · Computer Science 2016-02-10 Hans-Andrea Loeliger , Lukas Bruderer , Hampus Malmberg , Federico Wadehn , Nour Zalmai

Modeling real-world distributions can often be challenging due to sample data that are subjected to perturbations, e.g., instrumentation errors, or added random noise. Since flow models are typically nonlinear algorithms, they amplify these…

Machine Learning · Computer Science 2022-10-11 Sameera Ramasinghe , Kasun Fernando , Salman Khan , Nick Barnes

Multi-robot simultaneous localization and mapping (SLAM) enables a robot team to achieve coordinated tasks by relying on a common map of the environment. Constructing a map by centralized processing of the robot observations is undesirable…

Robotics · Computer Science 2024-08-22 Hanwen Cao , Sriram Shreedharan , Nikolay Atanasov

The recently developed Neural Radiance Fields (NeRF) and 3D Gaussian Splatting (3DGS) have shown encouraging and impressive results for visual SLAM. However, most representative methods require RGBD sensors and are only available for indoor…

Computer Vision and Pattern Recognition · Computer Science 2025-05-16 Zhe Xin , Chenyang Wu , Penghui Huang , Yanyong Zhang , Yinian Mao , Guoquan Huang

Deep learning models are being used for the analysis of parametric statistical models based on simulation-only frameworks. Bayesian models using normalizing flows simulate data from a prior distribution and are composed of two deep neural…

Statistics Theory · Mathematics 2026-03-12 Stefan Böhringer

By building upon the recent theory that established the connection between implicit generative modeling (IGM) and optimal transport, in this study, we propose a novel parameter-free algorithm for learning the underlying distributions of…

Machine Learning · Statistics 2019-06-12 Antoine Liutkus , Umut Şimşekli , Szymon Majewski , Alain Durmus , Fabian-Robert Stöter

Many modern applications of Bayesian inference, such as in cosmology, are based on complicated forward models with high-dimensional parameter spaces. This considerably limits the sampling of posterior distributions conditioned on observed…

Instrumentation and Methods for Astrophysics · Physics 2024-09-17 Marco Raveri , Cyrille Doux , Shivam Pandey

Flow models have rapidly become the go-to method for training and deploying large-scale generators, owing their success to inference-time flexibility via adjustable integration steps. A crucial ingredient in flow training is the choice of…