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We consider simultaneously identifying the membership and locations of point sources that are convolved with different low-pass point spread functions, from the observation of their superpositions. This problem arises in three-dimensional…

Information Theory · Computer Science 2015-04-24 Yuanxin Li , Yuejie Chi

The network localization problem with convex and non-convex distance constraints may be modeled as a nonlinear optimization problem. The existing localization techniques are mainly based on convex optimization. In those techniques, the…

Optimization and Control · Mathematics 2017-11-21 Ananya Saha , Buddhadeb Sau

We consider a registration-based approach for localizing sensor networks from range measurements. This is based on the assumption that one can find overlapping cliques spanning the network. That is, for each sensor, one can identify…

Optimization and Control · Mathematics 2017-11-10 Rajat Sanyal , Monika Jaiswal , Kunal Narayan Chaudhury

In this paper, sensor selection problems for target tracking in large sensor networks with linear equality or inequality constraints are considered. First, we derive an equivalent Kalman filter for sensor selection, i.e., generalized…

Optimization and Control · Mathematics 2023-07-19 Xiaojing Shen , Pramod K. Varshney

SMOTE (Synthetic Minority Oversampling Technique) is the established geometric approach to random oversampling to balance classes in the imbalanced learning problem, followed by many extensions. Its idea is to introduce synthetic data…

Machine Learning · Computer Science 2025-03-06 Oleg Kachan , Andrey Savchenko , Gleb Gusev

Study of a simple single-trace transmission example shows how an extended source formulation of full-waveform inversion can produce an optimization problem without spurious local minima ("cycle skipping"), hence efficiently solvable via…

Optimization and Control · Mathematics 2022-09-28 William W. Symes , Huiyi Chen , Susan E. Minkoff

Majorization-minimization algorithms consist of successively minimizing a sequence of upper bounds of the objective function so that along the iterations the objective function decreases. Such a simple principle allows to solve a large…

Optimization and Control · Mathematics 2025-03-04 Ion Necoara , Daniela Lupu

We develop and analyze a set of new sequential simulation-optimization algorithms for large-scale multi-dimensional discrete optimization via simulation problems with a convexity structure. The "large-scale" notion refers to that the…

Optimization and Control · Mathematics 2022-01-20 Haixiang Zhang , Zeyu Zheng , Javad Lavaei

This work presents a method for information fusion in source localization applications. The method utilizes the concept of optimal mass transport in order to construct estimates of the spatial spectrum using a convex barycenter formulation.…

Signal Processing · Electrical Eng. & Systems 2018-11-20 Filip Elvander , Isabel Haasler , Andreas Jakobsson , Johan Karlsson

Source localization in ocean acoustics is posed as a machine learning problem in which data-driven methods learn source ranges directly from observed acoustic data. The pressure received by a vertical linear array is preprocessed by…

Atmospheric and Oceanic Physics · Physics 2017-09-08 Haiqiang Niu , Emma Reeves , Peter Gerstoft

We consider signal source localization from range-difference measurements. First, we give some readily-checked conditions on measurement noises and sensor deployment to guarantee the asymptotic identifiability of the model and show the…

Signal Processing · Electrical Eng. & Systems 2023-09-26 Guangyang Zeng , Biqiang Mu , Ling Shi , Jiming Chen , Junfeng Wu

A long standing problem in visual object categorization is the ability of algorithms to generalize across different testing conditions. The problem has been formalized as a covariate shift among the probability distributions generating the…

Computer Vision and Pattern Recognition · Computer Science 2018-06-18 Massimiliano Mancini , Samuel Rota Bulò , Barbara Caputo , Elisa Ricci

The problem of mixed signals occurs in many different contexts; one of the most familiar being acoustics. The forward problem in acoustics consists of finding the sound pressure levels at various detectors resulting from sound signals…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Kevin H. Knuth

In this paper we extend a recent idea of formulating and regularizing inverse problems as minimization problems, so without using a forward operator, thus avoiding explicit evaluation of a parameter-to-state map. We do so by rephrasing…

Numerical Analysis · Mathematics 2020-04-28 Kha Van Huynh , Barbara Kaltenbacher

Most existing approaches for visual localization either need a detailed 3D model of the environment or, in the case of learning-based methods, must be retrained for each new scene. This can either be very expensive or simply impossible for…

Robotics · Computer Science 2021-06-22 Dominik Winkelbauer , Maximilian Denninger , Rudolph Triebel

Inverse problems are characterized by their inherent non-uniqueness and sensitivity with respect to data perturbations. Their stable solution requires the application of regularization methods including variational and iterative…

Numerical Analysis · Mathematics 2023-10-17 Aviv Gibali , Markus Haltmeier

Navigation tasks often cannot be defined in terms of a target, either because global position information is unavailable or unreliable or because target location is not explicitly known a priori. This task is then often defined indirectly…

Optimization and Control · Mathematics 2019-09-18 Bruno A. Angélico , Luiz F. O. Chamon , Santiago Paternain , Alejandro Ribeiro , George J. Pappas

In this paper, we introduce and study a new extragradient iterative process for finding a common element of the set of fixed points of an infinite family of nonexpansive mappings and the set of solutions of a variational inequality for an…

Functional Analysis · Mathematics 2014-05-22 Ibrahim Karahan , Murat Ozdemir

This paper presents a two-step approach for narrowband source localization within reverberant rooms. The first step involves dereverberation by modeling the homogeneous component of the sound field by an equivalent decomposition of…

Audio and Speech Processing · Electrical Eng. & Systems 2023-09-26 Wei-Ting Lai , Lachlan Birnie , Thushara Abhayapala , Amy Bastine , Shaoheng Xu , Prasanga Samarasinghe

In this article we analyze the state-of-the-art in multilateration - the family of localization methods enabled by the range difference observations. These methods are computationally efficient, signal-independent, and flexible with regards…

Sound · Computer Science 2020-07-29 Srđan Kitić , Clément Gaultier , Grégory Pallone
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