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This paper considers a sequential estimation and sensor scheduling problem with one sensor and one estimator. The sensor makes sequential observations about the state of an underlying memoryless stochastic process, and makes a decision as…

Systems and Control · Computer Science 2016-11-17 Xiaobin Gao , Emrah Akyol , Tamer Basar

In this paper we propose a new framework for distributed source coding of structured sources, such as sparse signals. Our framework capitalizes on recent advances in the theory of linear inverse problems and signal representations using…

Information Theory · Computer Science 2020-12-02 Maxim Goukhshtein , Petros T. Boufounos , Toshiaki Koike-Akino , Stark C. Draper

Many signal processing algorithms for distributed sensors are capable of improving their performance if the positions of sensors are known. In this paper, we focus on estimators for inferring the relative geometry of distributed arrays and…

Signal Processing · Electrical Eng. & Systems 2020-04-14 Szymon Woźniak , Konrad Kowalczyk

We address the ambiguities in the super-resolution problem under translation. We demonstrate that combinations of low-resolution images at different scales can be used to make the super-resolution problem well posed. Such differences in…

Computer Vision and Pattern Recognition · Computer Science 2026-04-24 Daniel Fu , Gabby Litterio , Pedro Felzenszwalb , Rashid Zia

Given a time series of multicomponent measurements x(t), the usual objective of nonlinear blind source separation (BSS) is to find a "source" time series s(t), comprised of statistically independent combinations of the measured components.…

Artificial Intelligence · Computer Science 2015-05-13 David N. Levin

Analysis of spatial multivariate data, i.e., measurements at irregularly-spaced locations, is a challenging topic in visualization and statistics alike. Such data are integral to many domains, e.g., indicators of valuable minerals are…

Human-Computer Interaction · Computer Science 2023-08-15 Nikolaus Piccolotto , Markus Bögl , Christoph Muehlmann , Klaus Nordhausen , Peter Filzmoser , Silvia Miksch

This paper considers the problem of estimating the channel response (or Green's function) between multiple source-receiver pairs. Typically, the channel responses are estimated one-at-a-time: a single source sends out a known probe signal,…

Numerical Analysis · Mathematics 2015-05-18 Justin Romberg , Ramesh Neelamani

This article addresses the modeling of reverberant recording environments in the context of under-determined convolutive blind source separation. We model the contribution of each source to all mixture channels in the time-frequency domain…

Machine Learning · Statistics 2009-12-14 Ngoc Duong , Emmanuel Vincent , Remi Gribonval

We propose a new approach to linear ill-posed inverse problems. Our algorithm alternates between enforcing two constraints: the measurements and the statistical correlation structure in some transformed space. We use a non-linear multiscale…

Computational Engineering, Finance, and Science · Computer Science 2018-12-04 Ivan Dokmanić , Joan Bruna , Stéphane Mallat , Maarten de Hoop

One of the goals in scaling sequential machine learning methods pertains to dealing with high-dimensional data spaces. A key related challenge is that many methods heavily depend on obtaining the inverse covariance matrix of the data. It is…

Computation · Statistics 2017-07-28 Tomer Lancewicki

It has previously been shown that ordinary least squares can be used to estimate the coefficients of the single-index model under only mild conditions. However, the estimator is non-robust leading to poor estimates for some models. In this…

Methodology · Statistics 2022-09-13 Marina Masioti , Joshua Davies , Amanda Shaker , Luke A. Prendergast

For distributed estimations in a sensor network, the consistency and accuracy of an estimator are greatly affected by the unknown correlations between individual estimates. An inconsistent or too conservative estimate may degrade the…

Systems and Control · Electrical Eng. & Systems 2024-05-10 Yizhi Zhou , Xufan Liu , Xuan Wang

We propose a new technique for estimating spatially varying parametric materials from a single image of an object with unknown shape in unknown illumination. Our method uses a low-order parametric reflectance model, and incorporates strong…

Graphics · Computer Science 2019-12-30 Kevin Karsch , David Forsyth

We analyze the fundamental resolution of incoherent optical point sources from the perspective of a quantum detection problem: deciding whether the optical field on the image plane is generated by one source or two weaker sources with…

Quantum Physics · Physics 2019-11-07 Xiao-Ming Lu , Ranjith Nair , Mankei Tsang

Unsupervised evaluation of segmentation quality is a crucial step in image segmentation applications. Previous unsupervised evaluation methods usually lacked the adaptability to multi-scale segmentation. A scale-constrained evaluation…

Computer Vision and Pattern Recognition · Computer Science 2016-11-16 Yuhang Lu , Youchuan Wan , Gang Li

Signal separation and extraction are important tasks for devices recording audio signals in real environments which, aside from the desired sources, often contain several interfering sources such as background noise or concurrent speakers.…

Signal Processing · Electrical Eng. & Systems 2020-07-15 Andreas Brendel , Thomas Haubner , Walter Kellermann

In this paper we revisit the classical problem of estimating a signal as it impinges on a multi-sensor array. We focus on the case where the impinging signal's bandwidth is appreciable and is operating in a broadband regime. Estimating…

Signal Processing · Electrical Eng. & Systems 2023-12-08 Coleman DeLude , Mark A. Davenport , Justin Romberg

We consider the problem of adaptive blind separation of two sources from their instantaneous mixtures. We focus on the case where the two sources are not necessarily independent. By analyzing a general form of adaptive algorithms we show…

Signal Processing · Electrical Eng. & Systems 2019-08-08 George V. Moustakides , Feeby Salib , Kalliopi Basioti

Shuffled linear regression (SLR) seeks to estimate latent features through a linear transformation, complicated by unknown permutations in the measurement dimensions. This problem extends traditional least-squares (LS) and Least Absolute…

Statistics Theory · Mathematics 2025-04-17 Hang Liu , Anna Scaglione

Illumination estimation is often used in mixed reality to re-render a scene from another point of view, to change the color/texture of an object, or to insert a virtual object consistently lit into a real video or photograph. Specifically,…

Computer Vision and Pattern Recognition · Computer Science 2018-12-13 Grégoire Nieto , Salma Jiddi , Philippe Robert
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