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This paper presents a method for robust optimization for online incremental Simultaneous Localization and Mapping (SLAM). Due to the NP-Hardness of data association in the presence of perceptual aliasing, tractable (approximate) approaches…

Robotics · Computer Science 2023-04-28 Daniel McGann , John G. Rogers , Michael Kaess

We present a new method to obtain spatio-temporal information from aggregated data of stationary traffic detectors, the ``adaptive smoothing method''. In essential, a nonlinear spatio-temporal lowpass filter is applied to the input detector…

Statistical Mechanics · Physics 2007-05-23 Martin Treiber , Dirk Helbing

Graph-based methods have proven to be effective in capturing relationships among points for 3D point cloud analysis. However, these methods often suffer from suboptimal graph structures, particularly due to sparse connections at boundary…

Computer Vision and Pattern Recognition · Computer Science 2026-01-19 Shangbo Yuan , Jie Xu , Ping Hu , Xiaofeng Zhu , Na Zhao

Estimating the parameters of general state-space models is a topic of importance for many scientific and engineering disciplines. In this paper we present an online parameter estimation algorithm obtained by casting our recently proposed…

Computation · Statistics 2016-02-25 Jimmy Olsson , Johan Westerborn

This paper presents an algorithm for Monte Carlo fixed-lag smoothing in state-space models defined by a diffusion process observed through noisy discrete-time measurements. Based on a particles approximation of the filtering and smoothing…

Applications · Statistics 2015-06-17 Anne Cuzol , Etienne Mémin

We propose a novel gradient-based online optimization framework for solving stochastic programming problems that frequently arise in the context of cyber-physical and robotic systems. Our problem formulation accommodates constraints that…

Machine Learning · Computer Science 2026-01-06 Hao Ma , Melanie Zeilinger , Michael Muehlebach

Online data assimilation in time series models over a large spatial extent is an important problem in both geosciences and robotics. Such models are intrinsically high-dimensional, rendering traditional particle filter algorithms…

Computation · Statistics 2019-01-31 Jameson Quinn

We introduce a novel gradient descent algorithm extending the well-known Gradient Sampling methodology to the class of stratifiably smooth objective functions, which are defined as locally Lipschitz functions that are smooth on some regular…

Computational Geometry · Computer Science 2021-09-06 Jacob Leygonie , Mathieu Carrière , Théo Lacombe , Steve Oudot

Sequential Monte Carlo methods have been a major breakthrough in the field of numerical signal processing for stochastic dynamical state-space systems with partial and noisy observations. However, these methods still present certain…

Applications · Statistics 2023-12-14 Samuel Nyobe , Fabien Campillo , Serge Moto , Vivien Rossi

Online optimization has gained increasing interest due to its capability of tracking real-world streaming data. Although online optimization methods have been widely studied in the setting of frequentist statistics, few works have…

Machine Learning · Computer Science 2023-03-01 Yifan Yang , Chang Liu , Zheng Zhang

Simultaneous localization and mapping (SLAM) is the task of building a map representation of an unknown environment while at the same time using it for positioning. A probabilistic interpretation of the SLAM task allows for incorporating…

Robotics · Computer Science 2024-09-04 Manon Kok , Arno Solin , Thomas B. Schön

Smoothing is a specialized form of Bayesian inference for state-space models that characterizes the posterior distribution of a collection of states given an associated sequence of observations. Ramgraber et al. (2023) proposes a general…

Methodology · Statistics 2023-11-23 Maximilian Ramgraber , Ricardo Baptista , Dennis McLaughlin , Youssef Marzouk

We propose an online learning algorithm for a class of machine learning models under a separable stochastic approximation framework. The essence of our idea lies in the observation that certain parameters in the models are easier to…

Machine Learning · Computer Science 2023-05-23 Min Gan , Xiang-xiang Su , Guang-yong Chen , Jing Chen

Offline map matching involves aligning historical trajectories of mobile objects, which may have positional errors, with digital maps. This is essential for applications in intelligent transportation systems (ITS), such as route analysis…

Social and Information Networks · Computer Science 2025-05-30 Ruilin Xu , Yuchen Song , Kaijie Li , Xitong Gao , Kejiang Ye , Fan Zhang , Juanjuan Zhao

We present methods for offline generation of sparse roadmap spanners that result in graphs 79% smaller than existing approaches while returning solutions of equivalent path quality. Our method uses a hybrid approach to sampling that…

Robotics · Computer Science 2016-10-26 David Coleman , Nikolaus Correll

Dynamic SLAM methods jointly estimate for the static and dynamic scene components, however existing approaches, while accurate, are computationally expensive and unsuitable for online applications. In this work, we present the first…

Robotics · Computer Science 2025-09-11 Jesse Morris , Yiduo Wang , Viorela Ila

Smoothing in state-space models amounts to computing the conditional distribution of the latent state trajectory, given observations, or expectations of functionals of the state trajectory with respect to this distributions. For models that…

Computation · Statistics 2010-11-10 Jimmy Olsson , Tobias Rydén

The paper investigates the problem of estimating the state of a time-varying system with a linear measurement model; in particular, the paper considers the case where the number of measurements available can be smaller than the number of…

Systems and Control · Electrical Eng. & Systems 2021-04-07 Guido Cavraro , Emiliano Dall'Anese , Joshua Comden , Andrey Bernstein

Lidar became an important component of the perception systems in autonomous driving. But challenges of training data acquisition and annotation made emphasized the role of the sensor to sensor domain adaptation. In this work, we address the…

Computer Vision and Pattern Recognition · Computer Science 2023-02-01 Artem Savkin , Yida Wang , Sebastian Wirkert , Nassir Navab , Federico Tombar

We introduce a new method for online parameter estimation in stochastic interacting particle systems, based on continuous observation of a small number of particles from the system. Our method recursively updates the model parameters using…

Statistics Theory · Mathematics 2026-02-25 Louis Sharrock , Nikolas Kantas , Grigorios A. Pavliotis