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The problem of robust mean estimation in high dimensions is studied, in which a certain fraction (less than half) of the datapoints can be arbitrarily corrupted. Motivated by compressive sensing, the robust mean estimation problem is…

Applications · Statistics 2022-12-08 Aditya Deshmukh , Jing Liu , Venugopal V. Veeravalli

Indoor localization is critical for IoT applications, yet challenges such as non-Gaussian noise, environmental interference, and measurement outliers hinder the robustness of traditional methods. Existing approaches, including Kalman…

Systems and Control · Electrical Eng. & Systems 2025-05-14 Zhiyi Zhou , Dongzhuo Liu , Songtao Guo , Yuanyuan Yang

We present a new loss function that addresses the out-of-distribution (OOD) calibration problem. While many objective functions have been proposed to effectively calibrate models in-distribution, our findings show that they do not always…

Machine Learning · Computer Science 2024-03-12 Dexter Neo , Stefan Winkler , Tsuhan Chen

In SLAM (Simultaneous localization and mapping) problems, Pose Graph Optimization (PGO) is a technique to refine an initial estimate of a set of poses (positions and orientations) from a set of pairwise relative measurements. The…

Robotics · Computer Science 2024-08-19 Emilio Olivastri , Alberto Pretto

We generalized a modified exponentialized estimator by pushing the robust-optimal (RO) index $\lambda$ to $-\infty$ for achieving robustness to outliers by optimizing a quasi-Minimin function. The robustness is realized and controlled…

Machine Learning · Computer Science 2023-10-19 Zhiguang Wang , Tim Oates , James Lo

The fusion of sensor data from heterogeneous sensors is crucial for robust perception in various robotics applications that involve moving platforms, for instance, autonomous vehicle navigation. In particular, combining camera and lidar…

Robotics · Computer Science 2020-03-10 Mao Shan , Julie Stephany Berrio , Stewart Worrall , Eduardo Nebot

Multi-agent systems seeking consensus may also have other objective functions to optimize, requiring the research of multi-objective optimization in consensus. Several recent publications have explored this domain using various methods such…

Multiagent Systems · Computer Science 2025-04-15 Michael P. Wozniak

Precise sensor calibration is critical for autonomous vehicles as a prerequisite for perception algorithms to function properly. Rotation error of one degree can translate to position error of meters in target object detection at large…

Robotics · Computer Science 2025-06-24 Zhongyuan Li , Honggang Gou , Ping Li , Jiaotong Guo , Mao Ye

Localization, or position fixing, is an important problem in robotics research. In this paper, we propose a novel approach for long-term localization in a changing environment using 3D LiDAR. We first create the map of a real environment…

Robotics · Computer Science 2019-10-29 Yilong Zhu , Bohuan Xue , Linwei Zheng , Huaiyang Huang , Ming Liu , Rui Fan

Real-world network applications must cope with failing nodes, malicious attacks, or, somehow, nodes facing corrupted data --- classified as outliers. One enabling application is the geographic localization of the network nodes. However,…

Optimization and Control · Mathematics 2016-10-31 Cláudia Soares , João Gomes

The Huber loss is a robust loss function used for a wide range of regression tasks. To utilize the Huber loss, a parameter that controls the transitions from a quadratic function to an absolute value function needs to be selected. We…

Machine Learning · Statistics 2020-11-20 Gregory P. Meyer

Perception is a key element for enabling intelligent autonomous navigation. Understanding the semantics of the surrounding environment and accurate vehicle pose estimation are essential capabilities for autonomous vehicles, including…

Computer Vision and Pattern Recognition · Computer Science 2024-03-06 Mohamed Afifi , Mohamed ElHelw

This short communication addresses the problem of elliptic localization with outlier measurements. Outliers are prevalent in various location-enabled applications, and can significantly compromise the positioning performance if not…

Signal Processing · Electrical Eng. & Systems 2024-09-04 Wenxin Xiong , Yuming Chen , Jiajun He , Zhang-Lei Shi , Keyuan Hu , Hing Cheung So , Chi-Sing Leung

Model averaging is an alternative to model selection for dealing with model uncertainty, which is widely used and very valuable. However, most of the existing model averaging methods are proposed based on the least squares loss function,…

Methodology · Statistics 2019-10-29 Miaomiao Wang , Guohua Zou

Estimating location is a central problem in functional data analysis, yet most current estimation procedures either unrealistically assume completely observed trajectories or lack robustness with respect to the many kinds of anomalies one…

Methodology · Statistics 2022-03-24 Ioannis Kalogridis , Stefan Van Aelst

Location-Based Services (LBSs) provide invaluable aid in the everyday activities of many individuals, however they also pose serious threats to the user' privacy. There is, therefore, a growing interest in the development of mechanisms to…

Cryptography and Security · Computer Science 2017-10-17 Konstantinos Chatzikokolakis , Serge Haddad , Ali Kassem , Catuscia Palamidessi

Loss functions is a crucial factor that affecting the detection precision in object detection task. In this paper, we optimize both two loss functions for classification and localization simultaneously. Firstly, by multiplying an IoU-based…

Computer Vision and Pattern Recognition · Computer Science 2021-08-02 Shang Jiang , Haoran Qin , Bingli Zhang , Jieyu Zheng

Stochastic convex optimization over an $\ell_1$-bounded domain is ubiquitous in machine learning applications such as LASSO but remains poorly understood when learning with differential privacy. We show that, up to logarithmic factors the…

Machine Learning · Computer Science 2021-03-03 Hilal Asi , Vitaly Feldman , Tomer Koren , Kunal Talwar

Distributed estimation in the context of sensor networks is considered, where distributed agents are given a set of sensor measurements, and are tasked with estimating a target variable. A subset of sensors are assumed to be faulty. The…

Signal Processing · Electrical Eng. & Systems 2022-12-26 Marian Temprana Alonso , Farhad Shirani , S. Sitharama Iyengar

When measurements from dynamical systems are noisy, it is useful to have estimation algorithms that have low sensitivity to measurement noises and outliers. In the first set of results described in this paper we obtain optimal estimators…

Systems and Control · Electrical Eng. & Systems 2022-09-20 Krishan Mohan Nagpal