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In this paper, we introduce a new optimization algorithm that is well suited for solving parameter estimation problems. We call our new method cubic regularized Newton with affine scaling (CRNAS). In contrast to so-called first-order…

Optimization and Control · Mathematics 2024-07-08 Chenyu Wu , Nuozhou Wang , Casey Garner , Kevin Leder , Shuzhong Zhang

3D object detection aims to predict object centers, dimensions, and rotations from LiDAR point clouds. Despite its simplicity, LiDAR captures only the near side of objects, making center-based detectors prone to poor localization accuracy…

Computer Vision and Pattern Recognition · Computer Science 2025-04-04 Ruixiao Zhang , Runwei Guan , Xiangyu Chen , Adam Prugel-Bennett , Xiaohao Cai

We present a fast bottom-up method that jointly detects over 100 keypoints on humans or objects, also referred to as human/object pose estimation. We model all keypoints belonging to a human or an object -- the pose -- as a graph and…

Computer Vision and Pattern Recognition · Computer Science 2021-10-05 Duncan Zauss , Sven Kreiss , Alexandre Alahi

6 DoF poses estimation problem aims to estimate the rotation and translation parameters between two coordinates, such as object world coordinate and camera world coordinate. Although some advances are made with the help of deep learning,…

Computer Vision and Pattern Recognition · Computer Science 2021-10-26 Haowen Sun , Taiyong Wang

Given 2D point correspondences between an image pair, inferring the camera motion is a fundamental issue in the computer vision community. The existing works generally set out from the epipolar constraint and estimate the essential matrix,…

Computer Vision and Pattern Recognition · Computer Science 2025-08-21 Guangyang Zeng , Qingcheng Zeng , Xinghan Li , Biqiang Mu , Jiming Chen , Ling Shi , Junfeng Wu

We revisit the problem of training attention-based sparse image matching models for various local features. We first identify one critical design choice that has been previously overlooked, which significantly impacts the performance of the…

Computer Vision and Pattern Recognition · Computer Science 2026-03-13 Qiang Wang

Boundary point detection aims to outline the external contour structure of clusters and enhance the inter-cluster discrimination, thus bolstering the performance of the downstream classification and clustering tasks. However, existing…

Machine Learning · Computer Science 2025-02-26 Dehua Peng , Zhipeng Gui , Jie Gui , Huayi Wu

We propose a new approach for identifying the support points of a locally optimal design when the model is a nonlinear model. In contrast to the commonly used geometric approach, we use an approach based on algebraic tools. Considerations…

Methodology · Statistics 2009-03-05 Min Yang , John Stufken

Our study aims to build a machine learning model for crime prediction using geospatial features for different categories of crime. The reverse geocoding technique is applied to retrieve open street map (OSM) spatial data. This study also…

Artificial Intelligence · Computer Science 2020-06-16 Fateha Khanam Bappee , Amilcar Soares Junior , Stan Matwin

We introduce a consistent estimator for the homology (an algebraic structure representing connected components and cycles) of level sets of both density and regression functions. Our method is based on kernel estimation. We apply this…

Statistics Theory · Mathematics 2016-09-30 Omer Bobrowski , Sayan Mukherjee , Jonathan E. Taylor

We propose an original and general NOn-SEgmental (NOSE) approach for the detection of multiple change-points. NOSE identifies change-points by the non-negligibility of posterior estimates of the jump heights. Alternatively, under the…

Methodology · Statistics 2023-06-19 Chong Zhong , Zhihua Ma , Xu Zhang , Catherine C. Liu

An algorithm based on the interior-point methodology for solving continuous nonlinearly constrained optimization problems is proposed, analyzed, and tested. The distinguishing feature of the algorithm is that it presumes that only noisy…

Optimization and Control · Mathematics 2025-02-18 Frank E. Curtis , Shima Dezfulian , Andreas Waechter

We propose a novel scoring concept for visual place recognition based on nearest neighbor descriptor voting and demonstrate how the algorithm naturally emerges from the problem formulation. Based on the observation that the number of votes…

Robotics · Computer Science 2018-06-08 Mathias Gehrig , Elena Stumm , Timo Hinzmann , Roland Siegwart

There has been recent growth in small area estimation due to the need for more precise estimation of small geographic areas, which has led to groups such as the U.S. Census Bureau, Google, and the RAND corporation utilizing small area…

Methodology · Statistics 2013-07-17 Malay Ghosh , Rebecca C. Steorts

In the context of few-shot classification, the goal is to train a classifier using a limited number of samples while maintaining satisfactory performance. However, traditional metric-based methods exhibit certain limitations in achieving…

Computer Vision and Pattern Recognition · Computer Science 2025-03-13 Fatemeh Askari , Amirreza Fateh , Mohammad Reza Mohammadi

This paper addresses the problem of homography estimation using a nonlinear observer designed on the Lie group $\mathbf{SL}(3)$ that exploits the full image information through direct image registration. Unlike traditional feature-based…

Systems and Control · Electrical Eng. & Systems 2026-05-12 Tarek Bouazza , Pieter van Goor , Robert Mahony , Tarek Hamel

Motivated by an example from remote sensing of gas emission sources, we derive two novel change point procedures for multivariate time series where, in contrast to classical change point literature, the changes are not required to be…

Methodology · Statistics 2020-04-07 Idris Eckley , Claudia Kirch , Silke Weber

This paper addresses the problem of detecting boundary points and estimating the sampling density of a dataset derived from a compact manifold with boundary, potentially in the presence of noise. We extend recent advances in doubly…

Statistics Theory · Mathematics 2026-04-03 Dhruv Kohli , Jesse He , Chester Holtz , Alexander Cloninger , Gal Mishne

We present an improved approach for 3D object detection in point cloud data based on the Frustum PointNet (F-PointNet). Compared to the original F-PointNet, our newly proposed method considers the point neighborhood when computing point…

Computer Vision and Pattern Recognition · Computer Science 2023-01-12 Chengzhi Wu , Julius Pfrommer , Jürgen Beyerer , Kangning Li , Boris Neubert

Two optimization algorithms are proposed for solving a stochastic programming problem for which the objective function is given in the form of the expectation of convex functions and the constraint set is defined by the intersection of…

Optimization and Control · Mathematics 2017-10-09 Hideaki Iiduka