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This article considers the problem of optimally recovering stable linear time-invariant systems observed via linear measurements made on their transfer functions. A common modeling assumption is replaced here by the related assumption that…

Optimization and Control · Mathematics 2019-08-19 Mahmood Ettehad , Simon Foucart

We consider the problem of learning support vector machines robust to uncertainty. It has been established in the literature that typical loss functions, including the hinge loss, are sensible to data perturbations and outliers, thus…

Machine Learning · Computer Science 2024-02-06 Valentina Cepeda , Andrés Gómez , Shaoning Han

Due to the well-known computational showstopper of the exact Maximum Likelihood Estimation (MLE) for large geospatial observations, a variety of approximation methods have been proposed in the literature, which usually require tuning…

Methodology · Statistics 2021-06-10 Yiping Hong , Sameh Abdulah , Marc G. Genton , Ying Sun

In this paper, consensus-based Kalman filtering is extended to deal with the problem of joint target tracking and sensor self-localization in a distributed wireless sensor network. The average weighted Kullback-Leibler divergence, which is…

Systems and Control · Computer Science 2017-07-28 Lin Gao , Giorgio Battistelli , Luigi Chisci , Ping Wei

A new algorithm for 3D localization in multiplatform radar networks, comprising one transmitter and multiple receivers, is proposed. To take advantage of the monostatic sensor radiation pattern features, ad-hoc constraints are imposed in…

Signal Processing · Electrical Eng. & Systems 2022-04-06 Augusto Aubry , Paolo Braca , Antonio De Maio , Angela Marino

We introduce a new class of objectives for optimal transport computations of datasets in high-dimensional Euclidean spaces. The new objectives are parametrized by $\rho \geq 1$, and provide a metric space $\mathcal{R}_{\rho}(\cdot, \cdot)$…

Data Structures and Algorithms · Computer Science 2023-07-20 Moses Charikar , Beidi Chen , Christopher Re , Erik Waingarten

The problem of localizing a set of nodes from relative pairwise measurements is at the core of many applications such as Structure from Motion (SfM), sensor networks, and Simultaneous Localization And Mapping (SLAM). In practical…

Computation · Statistics 2019-10-15 Mahroo Bahreinian , Roberto Tron

Constrained submodular set function maximization problems often appear in multi-agent decision-making problems with a discrete feasible set. A prominent example is the problem of multi-agent mobile sensor placement over a discrete domain.…

Optimization and Control · Mathematics 2020-12-01 Navid Rezazadeh , Solmaz S. Kia

Localization has been a challenging task for autonomous navigation. A loop detection algorithm must overcome environmental changes for the place recognition and re-localization of robots. Therefore, deep learning has been extensively…

Robotics · Computer Science 2023-04-19 Alex Junho Lee , Seungwon Song , Hyungtae Lim , Woojoo Lee , Hyun Myung

In this paper we describe a probabilistic method for estimating the position of an object along with its covariance matrix using neural networks. Our method is designed to be robust to outliers, have bounded gradients with respect to the…

Computer Vision and Pattern Recognition · Computer Science 2021-11-22 David Mohlin , Gerald Bianchi , Josephine Sullivan

This article describes a multi-modal method using simulated Lidar data via ray tracing and image pixel loss with differentiable rendering to optimize an object's position with respect to an observer or some referential objects in a computer…

Systems and Control · Electrical Eng. & Systems 2023-09-07 Sean Zanyk-McLean , Krishna Kumar , Paul Navratil

Consensus clustering aggregates partitions in order to find a better fit by reconciling clustering results from different sources/executions. In practice, there exist noise and outliers in clustering task, which, however, may significantly…

Machine Learning · Computer Science 2023-01-03 Deguang Kong , Miao Lu , Konstantin Shmakov , Jian Yang

We consider the problem of sequentially maximizing an unknown function $f$ over a set of actions of the form $(s,\mathbf{x})$, where the selected actions must satisfy a safety constraint with respect to an unknown safety function $g$. We…

Machine Learning · Statistics 2024-06-06 Arpan Losalka , Jonathan Scarlett

This paper describes recursive algorithms for state estimation of linear dynamical systems when measurements are noisy with unknown bias and/or outliers. For situations with noisy and biased measurements, algorithms are proposed that…

Systems and Control · Electrical Eng. & Systems 2025-03-11 Krishan Mohan Nagpal

We develop a new robust geographically weighted regression method in the presence of outliers. We embed the standard geographically weighted regression in robust objective function based on $\gamma$-divergence. A novel feature of the…

Methodology · Statistics 2021-10-15 Shonosuke Sugasawa , Daisuke Murakami

With the recent advances in autonomous driving and the decreasing cost of LiDARs, the use of multimodal sensor systems is on the rise. However, in order to make use of the information provided by a variety of complimentary sensors, it is…

Computer Vision and Pattern Recognition · Computer Science 2023-12-20 Quentin Herau , Nathan Piasco , Moussab Bennehar , Luis Roldão , Dzmitry Tsishkou , Cyrille Migniot , Pascal Vasseur , Cédric Demonceaux

Realizing relative localization by leveraging inter-robot local measurements is a challenging problem, especially in the presence of measurement noise. Motivated by this challenge, in this paper we propose a novel and systematic 3-D…

Robotics · Computer Science 2026-04-03 Chenyang Liang , Liangming Chen , Baoyi Cui , Jie Mei

Important applications in robotic and sensor networks require distributed algorithms to solve the so-called relative localization problem: a node-indexed vector has to be reconstructed from measurements of differences between neighbor…

Systems and Control · Computer Science 2013-03-26 Wilbert Samuel Rossi , Paolo Frasca , Fabio Fagnani

This article introduces a framework for evaluating statistical decisions under both prior ambiguity and likelihood misspecification. We begin with an ambiguity set - a frequentist model that pairs a possibly misspecified likelihood with…

Econometrics · Economics 2026-05-14 Karun Adusumilli

This paper introduces a novel and distributed method for detecting inter-map loop closure outliers in simultaneous localization and mapping (SLAM). The proposed algorithm does not rely on a good initialization and can handle more than two…

Computer Vision and Pattern Recognition · Computer Science 2020-02-10 Arman Karimian , Ziqi Yang , Roberto Tron