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Particle filtering is a recursive Bayesian estimation technique that has gained popularity recently for tracking and localization applications. It uses Monte Carlo simulation and has proven to be a very reliable technique to model…

Robotics · Computer Science 2020-10-23 Adithya Krishna , André van Schaik , Chetan Singh Thakur

Many optimization algorithms converge to stationary points. When the underlying problem is nonconvex, they may get trapped at local minimizers and occasionally stagnate near saddle points. We propose the Run-and-Inspect Method, which adds…

Optimization and Control · Mathematics 2018-07-02 Yifan Chen , Yuejiao Sun , Wotao Yin

Multiple rotation averaging plays a crucial role in computer vision and robotics domains. The conventional optimization-based methods optimize a nonlinear cost function based on certain noise assumptions, while most previous learning-based…

Computer Vision and Pattern Recognition · Computer Science 2024-09-17 Shiqi Li , Jihua Zhu , Yifan Xie , Naiwen Hu , Mingchen Zhu , Zhongyu Li , Di Wang

We present novel solutions to the problem of direct localization of multiple narrow-band and arbitrarily correlated sources by partly calibrated arrays, i.e., arrays composed of fully calibrated sub-arrays yet lacking inter-array…

Signal Processing · Electrical Eng. & Systems 2018-07-27 Amir Adler , Mati Wax

In the context of the optimization of rotating electric machines, many different objective functions are of interest and considering this during the optimization is of crucial importance. While evolutionary algorithms can provide a Pareto…

Optimization and Control · Mathematics 2024-04-19 Alessio Cesarano , Peter Gangl

This paper presents a sound source localization strategy that relies on a microphone array embedded in an unmanned ground vehicle and an asynchronous close-talking microphone near the operator. A signal coarse alignment strategy is combined…

Robotics · Computer Science 2025-07-30 Victor Liu , Timothy Du , Jordy Sehn , Jack Collier , François Grondin

Eigenvector localization refers to the situation when most of the components of an eigenvector are zero or near-zero. This phenomenon has been observed on eigenvectors associated with extremal eigenvalues, and in many of those cases it can…

Discrete Mathematics · Computer Science 2011-09-08 Mihai Cucuringu , Michael W. Mahoney

Consider a time-harmonic elastic point source incident on a bounded obstacle which is embedded in an open space filled with a homogeneous and isotropic elastic medium. This paper is concerned with the inverse problem of recovering the…

Analysis of PDEs · Mathematics 2025-06-02 Chun Liu , Guanghui Hu , Tao Yin , Bo Zhang

Five new algorithms were proposed in order to optimize well conditioning of structural matrices. Along with decreasing the size and duration of analyses, minimizing analytical errors is a critical factor in the optimal computer analysis of…

Numerical Analysis · Mathematics 2021-09-21 Farzad S. Dizaji , Mehrdad S. Dizaji

Consider a continuous signal that cannot be observed directly. Instead, one has access to multiple corrupted versions of the signal. The available corrupted signals are correlated because they carry information about the common remote…

Information Theory · Computer Science 2016-12-06 Elaheh Mohammadi , Alireza Fallah , Farokh Marvasti

A typical assumption in supervised machine learning is that the train (source) and test (target) datasets follow completely the same distribution. This assumption is, however, often violated in uncertain real-world applications, which…

Machine Learning · Computer Science 2021-08-17 Masahiro Nomura , Yuta Saito

Visual servoing technology has been well developed and applied in many automated manufacturing tasks, especially in tools' pose alignment. To access a full global view of tools, most applications adopt eye-to-hand configuration or…

Systems and Control · Electrical Eng. & Systems 2025-06-13 Rongfei Li , Francis Assadian

Dimensional reduction of high dimensional data can be achieved by keeping only the relevant eigenmodes after principal component analysis. However, differentiating relevant eigenmodes from the random noise eigenmodes is problematic. A new…

Data Analysis, Statistics and Probability · Physics 2008-12-31 Yu Ding , Yiu-Cho Chung , Kun Huang , Orlando P. Simonetti

We consider the problem of self-localization by a resource-constrained mobile node given perturbed anchor position information and distance estimates from the anchor nodes. We consider normally-distributed noise in anchor position…

Information Theory · Computer Science 2017-11-07 Vikram Kumar , Reza Arablouei , Raja Jurdak , Branislav Kusy , Neil W. Bergmann

This paper introduces a unified framework for the detection of a source with a sensor array in the context where the noise variance and the channel between the source and the sensors are unknown at the receiver. The Generalized Maximum…

Probability · Mathematics 2010-06-16 Pascal Bianchi , Merouane Debbah , Mylène Maïda , Jamal Najim

We consider the problem of reconstructing rank-one matrices from random linear measurements, a task that appears in a variety of problems in signal processing, statistics, and machine learning. In this paper, we focus on the Alternating…

Machine Learning · Computer Science 2022-04-26 Kiryung Lee , Dominik Stöger

In this paper we introduce a common problem in electronic measurements and electrical engineering: finding the first root from the left of an equation in the presence of some initial conditions. We present examples of electrotechnical…

Numerical Analysis · Mathematics 2011-03-22 Yaroslav D. Sergeyev , Pasquale Daponte , Domenico Grimaldi , Anna Molinaro

A common approach to localize a mobile robot is by measuring distances to points of known positions, called anchors. Locating a device from distance measurements is typically posed as a non-convex optimization problem, stemming from the…

Robotics · Computer Science 2024-09-04 Frederike Dümbgen , Connor Holmes , Timothy D. Barfoot

In this paper we validate, including experimentally, the effectiveness of a recent theoretical developments made by our group on control-affine Extremum Seeking Control (ESC) systems. In particular, our validation is concerned with the…

Robotics · Computer Science 2024-03-12 Shivam Bajpai , Ahmed A. Elgohary , Sameh A. Eisa

We introduce an approach for exploring eigenvector localization phenomena for a class of (unbounded) selfadjoint operators. More specifically, given a target region and a tolerance, the algorithm identifies candidate eigenpairs for which…

Numerical Analysis · Mathematics 2021-06-01 Jeffrey Ovall , Robyn Reid