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We introduce a method for analyzing radio interferometry data which produces maps which are optimal in the Bayesian sense of maximum posterior probability density, given certain prior assumptions. It is similar to maximum entropy…

Astrophysics · Physics 2009-11-11 Edmund C. Sutton , Benjamin D. Wandelt

The blind phase search (BPS) algorithm for carrier phase estimation is known to have sub-optimal performance for probabilistically shaped constellations. We present a belief propagation based approximate maximum a posteriori carrier phase…

Information Theory · Computer Science 2023-10-19 Shrinivas Chimmalgi , Andrej Rode , Luca Schmid , Laurent Schmalen

Experience of live video streaming can be improved if the video uploader has more accurate knowledge about the future available bandwidth. Because with such knowledge, one is able to know what sizes should he encode the frames to be in an…

Multimedia · Computer Science 2022-10-05 Weijia Zheng

In this paper we analyze a posteriori error estimates for a mixed formulation of the linear elasticity eigenvalue problem. A posteriori estimators for the nearly and perfectly compressible elasticity spectral problems are proposed. With a…

Numerical Analysis · Mathematics 2022-01-12 Felipe Lepe , Gonzalo Rivera , Jesús Vellojín

The spectral gradient method is known to be a powerful low-cost tool for solving large-scale optimization problems. In this paper, our goal is to exploit its advantages in the stochastic optimization framework, especially in the case of…

Optimization and Control · Mathematics 2024-10-10 Stefania Bellavia , Nataša Krejić , Nataša Krklec Jerinkić , Marcos Raydan

In this paper we solve the problem: how to determine maximal allowable errors, possible for signals and parameters of each element of a network proceeding from the condition that the vector of output signals of the network should be…

Disordered Systems and Neural Networks · Physics 2022-05-18 M. Yu. Senashova , A. N. Gorban , D. C. Wunsch

The power spectrum, as a statistic in Fourier space, is commonly numerically calculated using the fast Fourier transform method to efficiently reduce the computational costs. To alleviate the systematic bias known as aliasing due to the…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-24 Yipeng Wang , Yu Yu

As an alternative to the traditional sampling theory, compressed sensing allows acquiring much smaller amount of data, still estimating the spectra of frequency-sparse signals accurately. However, compressed sensing usually requires random…

Information Theory · Computer Science 2016-07-22 Shan Huang , Hong Sun , Haijian Zhang , Lei Yu

This paper considers the problem of remote state estimation for Markov jump linear systems in the presence of uncertainty in the posterior mode probabilities. Such uncertainty may arise when the estimator receives noisy or incomplete…

Systems and Control · Electrical Eng. & Systems 2025-09-05 Ioannis Tzortzis , Themistoklis Charalambous , Charalambos D. Charalambous

Computing the marginal likelihood (also called the Bayesian model evidence) is an important task in Bayesian model selection, providing a principled quantitative way to compare models. The learned harmonic mean estimator solves the…

Methodology · Statistics 2024-01-22 Alicja Polanska , Matthew A. Price , Alessio Spurio Mancini , Jason D. McEwen

Sensor selection is a useful method to help reduce data throughput, as well as computational, power, and hardware requirements, while still maintaining acceptable performance. Although minimizing the Cram\'er-Rao bound has been adopted…

Signal Processing · Electrical Eng. & Systems 2023-08-01 Costas A. Kokke , Mario Coutiño , Laura Anitori , Richard Heusdens , Geert Leus

In this work, we propose a novel prior learning method for advancing generalization and uncertainty estimation in deep neural networks. The key idea is to exploit scalable and structured posteriors of neural networks as informative priors…

Machine Learning · Computer Science 2026-03-31 Dominik Schnaus , Jongseok Lee , Daniel Cremers , Rudolph Triebel

Linear (spectro) polarimetry is usually performed using separate photon flux measurements after spatial or temporal polarization modulation. Such classical polarimeters are limited in sensitivity and accuracy by systematic effects and…

Optics · Physics 2010-05-28 Frans Snik , Theodora Karalidi , Christoph U. Keller

An estimation method is presented for polynomial phase signals, i.e., those adopting the form of a complex exponential whose phase is polynomial in its indices. Transcending the scope of existing techniques, the proposed estimator can…

Signal Processing · Electrical Eng. & Systems 2024-11-12 Heedong Do , Namyoon Lee , Angel Lozano

We consider the problem of fusing an arbitrary number of multiband, i.e., panchromatic, multispectral, or hyperspectral, images belonging to the same scene. We use the well-known forward observation and linear mixture models with Gaussian…

Computer Vision and Pattern Recognition · Computer Science 2018-07-19 Reza Arablouei

In this paper, we discuss computational aspects to obtain accurate inferences for the parameters of the generalized gamma (GG) distribution. Usually, the solution of the maximum likelihood estimators (MLE) for the GG distribution have no…

Computation · Statistics 2017-07-26 Jorge Alberto Achcar , Pedro Luiz Ramos , Edson Zangiacomi Martinez

We address the problem of prediction for extreme observations by proposing an extremal linear prediction method. We construct an inner product space of nonnegative random variables derived from transformed-linear combinations of independent…

Methodology · Statistics 2026-01-21 Jeongjin Lee , Daniel Cooley

The problem of variation of spectral subspaces for linear self-adjoint operators under an additive bounded perturbation is considered. The aim is to find the best possible upper bound on the norm of the difference of two spectral…

Spectral Theory · Mathematics 2018-07-17 Albrecht Seelmann

The Rician distribution, a well-known statistical distribution frequently encountered in fields like magnetic resonance imaging and wireless communications, is particularly useful for describing many real phenomena such as signal process…

Methodology · Statistics 2024-10-30 Jesus Enrique Achire Quispe , Eduardo Ramos , Pedro Luiz Ramos

This paper is concerned with Bayesian inferential methods for data from controlled branching processes that account for model robustness through the use of disparities. Under regularity conditions, we establish that estimators built on…

Methodology · Statistics 2018-02-19 M. González , C. Minuesa , I. del Puerto , A. N. Vidyashankar
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