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A double-correlation method is introduced to locate tremor sources based on stacks of complex, doubly-correlated tremor records of multiple triplets of seismographs back projected to hypothetical source locations in a geographic grid. Peaks…

Systems in nature are stochastic as well as nonlinear. In traditional applications, engineered filters aim to minimize the stochastic effects caused by process and measurement noise. Conversely, a previous study showed that the process…

系统与控制 · 电气工程与系统科学 2024-07-11 Burak Boyacıoğlu , Mahnoush Babaei , Amanuel H. Mamo , Sarah Bergbreiter , Thomas L. Daniel , Kristi A. Morgansen

This paper extends robust principal component analysis (RPCA) to nonlinear manifolds. Suppose that the observed data matrix is the sum of a sparse component and a component drawn from some low dimensional manifold. Is it possible to…

机器学习 · 计算机科学 2019-11-12 He Lyu , Ningyu Sha , Shuyang Qin , Ming Yan , Yuying Xie , Rongrong Wang

This work presents a data-driven magnetostatic finite-element solver that is specifically well-suited to cope with strongly nonlinear material responses. The data-driven computing framework is essentially a multiobjective optimization…

计算物理 · 物理学 2020-12-24 Armin Galetzka , Dimitrios Loukrezis , Herbert De Gersem

This work discusses a novel method for estimating the location of a gas source based on spatially distributed concentration measurements taken, e.g., by a mobile robot or flying platform that follows a predefined trajectory to collect…

This paper addresses source localization problem in a random shallow water channel. We present an extension of the generalized MUSIC method to the case, %in which when the signal correlation matrix is imprecisely known. The algorithm is…

大气与海洋物理 · 物理学 2014-10-29 Alexander Sazontov , Ivan Smirnov , Alexander Matveyev

We propose an algorithm for optimizations in which the gradients contain stochastic noise. This arises, for example, in structural optimizations when computations of forces and stresses rely on methods involving Monte Carlo sampling, such…

材料科学 · 物理学 2022-11-30 Siyuan Chen , Shiwei Zhang

A popular method to estimate the positions or directions-of-arrival (DOAs) of multiple sound sources using an array of microphones is based on steered-response power (SRP) beamforming. For a three-dimensional scenario, SRP-based methods…

音频与语音处理 · 电气工程与系统科学 2026-04-21 Klaus Brümann , Simon Doclo

Sparse subspace clustering (SSC) is one of the current state-of-the-art methods for partitioning data points into the union of subspaces, with strong theoretical guarantees. However, it is not practical for large data sets as it requires…

计算机视觉与模式识别 · 计算机科学 2019-08-06 Maryam Abdolali , Nicolas Gillis , Mohammad Rahmati

Principal component analysis (PCA) is arguably the most widely used approach for large-dimensional factor analysis. While it is effective when the factors are sufficiently strong, it can be inconsistent when the factors are weak and/or the…

统计方法学 · 统计学 2025-08-22 Zhongyuan Lyu , Ming Yuan

Principal Component Analysis (PCA) is widely used for dimensionality reduction and data analysis. However, PCA results are adversely affected by outliers often observed in real-world data. Existing robust PCA methods are often…

计算工程、金融与科学 · 计算机科学 2025-06-23 Timbwaoga Aime Judicael Ouermi , Jixian Li , Chris R. Johnson

Functional principal component analysis (FPCA) is a fundamental tool and has attracted increasing attention in recent decades, while existing methods are restricted to data with a single or finite number of random functions (much smaller…

统计方法学 · 统计学 2021-01-22 Xiaoyu Hu , Fang Yao

Installation of capacitors in distribution networks is one of the most used procedure to compensate reactive power generated by loads and, consequently, to reduce technical losses. So, the problem consists in identifying the optimal…

最优化与控制 · 数学 2017-02-01 André R. Goncalves , Celso Cavelucci , Christiano Lyra Filho , Fernando J. Von Zuben

Motivation: Modelling methods that find structure in data are necessary with the current large volumes of genomic data, and there have been various efforts to find subsets of genes exhibiting consistent patterns over subsets of treatments.…

机器学习 · 计算机科学 2016-09-15 Kerstin Bunte , Eemeli Leppäaho , Inka Saarinen , Samuel Kaski

In this paper we use the MAP criterion to locate a region containing a source. Sensors placed in a field of interest divide the latter into smaller regions and take measurements that are transmitted over noisy wireless channels. We propose…

最优化与控制 · 数学 2009-03-19 S. H. Dandach , F. Bullo

Discrete stochastic optimization considers the problem of minimizing (or maximizing) loss functions defined on discrete sets, where only noisy measurements of the loss functions are available. The discrete stochastic optimization problem is…

最优化与控制 · 数学 2013-11-04 Qi Wang

We study resonances of multidimensional chaotic map dynamics. We use the calculus of variations to determine the additive forcing function that induces the largest response, that is, the greatest deviation from the unperturbed dynamics. We…

经典物理 · 物理学 2008-07-31 Vadas Gintautas , Glenn Foster , Alfred W. Hubler

In this paper we address the challenging problem of multiple source localization in Wireless Sensor Networks (WSN). We develop an efficient statistical algorithm, based on the novel application of Sequential Monte Carlo (SMC) sampler…

信息论 · 计算机科学 2015-04-23 Thi Le Thu Nguyen , Francois Septier , Harizo Rajaona , Gareth W. Peters , Ido Nevat , Yves Delignon

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…

机器人学 · 计算机科学 2024-03-12 Shivam Bajpai , Ahmed A. Elgohary , Sameh A. Eisa

Sparse principal component analysis (PCA) is an important technique for dimensionality reduction of high-dimensional data. However, most existing sparse PCA algorithms are based on non-convex optimization, which provide little guarantee on…

统计方法学 · 统计学 2019-11-20 Yixuan Qiu , Jing Lei , Kathryn Roeder