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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…

信息论 · 计算机科学 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…

最优化与控制 · 数学 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…

最优化与控制 · 数学 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…

最优化与控制 · 数学 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…

机器学习 · 计算机科学 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…

最优化与控制 · 数学 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…

最优化与控制 · 数学 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…

最优化与控制 · 数学 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.…

信号处理 · 电气工程与系统科学 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…

大气与海洋物理 · 物理学 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…

信号处理 · 电气工程与系统科学 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…

计算机视觉与模式识别 · 计算机科学 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…

数据分析、统计与概率 · 物理学 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…

数值分析 · 数学 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…

机器人学 · 计算机科学 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…

数值分析 · 数学 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…

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…

泛函分析 · 数学 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…

音频与语音处理 · 电气工程与系统科学 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…

声音 · 计算机科学 2020-07-29 Srđan Kitić , Clément Gaultier , Grégory Pallone