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A computational approach by an implementation of the Principle Component Analysis (PCA) with K-means and Gaussian Mixture (GM) clustering methods from Machine Learning (ML) algorithms to identify structural and dynamical heterogeneities of…

Statistical Mechanics · Physics 2023-09-01 Viet Nguyen , Xueyu Song

This paper derives identification, estimation, and inference results using spatial differencing in sample selection models with unobserved heterogeneity. We show that under the assumption of smooth changes across space of the unobserved…

Econometrics · Economics 2020-09-15 Alexander Klein , Guy Tchuente

The Iterative Closest Point (ICP) algorithm is a crucial component of LiDAR-based SLAM algorithms. However, its performance can be negatively affected in unstructured environments that lack features and geometric structures, leading to low…

Robotics · Computer Science 2025-06-03 Haosong Yue , Qingyuan Xu , Fei Chen , Jia Pan , Weihai Chen

Place recognition gives a SLAM system the ability to correct cumulative errors. Unlike images that contain rich texture features, point clouds are almost pure geometric information which makes place recognition based on point clouds…

Computer Vision and Pattern Recognition · Computer Science 2021-07-13 Lin Li , Xin Kong , Xiangrui Zhao , Tianxin Huang , Yong Liu

Local feature matching is essential for many applications, such as localization and 3D reconstruction. However, it is challenging to match feature points accurately in various camera viewpoints and illumination conditions. In this paper, we…

Computer Vision and Pattern Recognition · Computer Science 2023-01-26 Yerim Jung , Nur Suriza Syazwany Binti Ahmad Nizam , Sang-Chul Lee

Navigation solutions suitable for cases when both autonomous robot's pose (\textit{i.e}., attitude and position) and its environment are unknown are in great demand. Simultaneous Localization and Mapping (SLAM) fulfills this need by…

Systems and Control · Electrical Eng. & Systems 2022-04-04 Hashim A. Hashim , Abdelrahman E. E. Eltoukhy

The immense progress in data collection and storage capacities have yielded rather complex, challenging spatial event-type data, where each event location is augmented by a non-simple mark. Despite the growing interest in analysing such…

Methodology · Statistics 2024-10-23 Matthias Eckardt , Farnaz Ghorbanpour , Aila Särkkä

This paper treats functional marked point processes (FMPPs), which are defined as marked point processes where the marks are random elements in some (Polish) function space. Such marks may represent e.g. spatial paths or functions of time.…

Statistics Theory · Mathematics 2019-12-02 Ottmar Cronie , Mohammad Ghorbani , Jorge Mateu , Jun Yu

Linear latent variable models such as principal component analysis (PCA), independent component analysis (ICA), canonical correlation analysis (CCA), and factor analysis (FA) identify latent directions (or loadings) either ordered or…

Machine Learning · Statistics 2023-07-13 Jesse Stevens , Daniel N. Wilke , Itumeleng Setshedi

Many modern simultaneous localization and mapping (SLAM) techniques rely on sparse landmark-based maps due to their real-time performance. However, these techniques frequently assert that these landmarks are fixed in position over time,…

Robotics · Computer Science 2020-08-04 Samuel Bateman , Kyle Harlow , Christoffer Heckman

Robust state estimation in coupled dynamical systems depends critically not only on sensor quality but on the structural alignment between observation channels and the system's intrinsic dynamics. This paper develops a rigorous framework…

Systems and Control · Electrical Eng. & Systems 2026-05-08 Somasundhar Venkatasubramanian , Anirudh Venkat , Advaidh Venkat

Domain generalized semantic segmentation is an essential computer vision task, for which models only leverage source data to learn the capability of generalized semantic segmentation towards the unseen target domains. Previous works…

Computer Vision and Pattern Recognition · Computer Science 2025-08-05 Guanlong Jiao , Chenyangguang Zhang , Haonan Yin , Yu Mo , Biqing Huang , Hui Pan , Yi Luo , Jingxian Liu

This paper proposes an interior-point framework for constrained optimization problems whose decision variables evolve on matrix Lie groups. The proposed method, termed the Matrix Lie Group Interior-Point Method (MLG-IPM), operates directly…

Optimization and Control · Mathematics 2026-03-31 Aclécio J. Santos , Jean C. Pereira , Guilherme V. Raffo

As autonomous systems increasingly rely on onboard sensing for localization and perception, the parallel tasks of motion planning and state estimation become more strongly coupled. This coupling is well-captured by augmenting the planning…

Robotics · Computer Science 2020-09-14 Kristoffer M. Frey , Ted J. Steiner , Jonathan P. How

A sliding-window inference strategy is commonly adopted in recent training-free open-vocabulary semantic segmentation methods to overcome limitation of the CLIP in processing high-resolution images. However, this approach introduces a new…

Computer Vision and Pattern Recognition · Computer Science 2026-03-25 ByeongCheol Lee , Hyun Seok Seong , Sangeek Hyun , Gilhan Park , WonJun Moon , Jae-Pil Heo

We explore a combinatorial framework which efficiently quantifies the asymmetries between minima and maxima in local fluctuations of time series. We firstly showcase its performance by applying it to a battery of synthetic cases. We find…

Data Analysis, Statistics and Probability · Physics 2017-10-16 Uri Hasson , Jacopo Iacovacci , Ben Davis , Ryan Flanagan , Enzo Tagliazucchi , Helmut Laufs , Lucas Lacasa

Identifying spatial heterogeneous patterns has attracted a surge of research interest in recent years, due to its important applications in various scientific and engineering fields. In practice the spatially heterogeneous components are…

Methodology · Statistics 2024-05-07 Xin Zhang , Shan Yu , Zhengyuan Zhu , Xin Wang

Keypoint detection and description is fundamental yet important in many vision applications. Most existing methods use detect-then-describe or detect-and-describe strategy to learn local features without considering their context…

Computer Vision and Pattern Recognition · Computer Science 2020-06-02 Siyu Hong , Kunhong Li , Yongcong Zhang , Zhiheng Fu , Mengyi Liu , Yulan Guo

This paper develops a unified and computationally efficient method for change-point estimation along the time dimension in a non-stationary spatio-temporal process. By modeling a non-stationary spatio-temporal process as a piecewise…

Methodology · Statistics 2023-10-09 Zifeng Zhao , Ting Fung Ma , Wai Leong Ng , Chun Yip Yau

Classifiers label data as belonging to one of a set of groups based on input features. It is challenging to obtain accurate classification performance when the feature distributions in the different classes are complex, with nonlinear,…

Machine Learning · Statistics 2021-10-06 Didong Li , David B Dunson