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Optimal transport and variational Bayesian inference
International Journal of Approximate Reasoning, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alireza Bahraini, Saeed Sadeghi
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Bayesian Group-Sparse Modeling and Variational Inference [PDF]
IEEE Transactions on Signal Processing, 2014 In this paper, we present a general class of multivariate priors for group-sparse modeling within the Bayesian framework. We show that special cases of this class correspond to multivariate versions of several classical priors used for sparse modeling.
S Derin Babacan +2 more
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Variational Bayesian inference for beamforming
The Journal of the Acoustical Society of America, 2021A variational Bayesian method for beamforming is presented. The proposed method aims at estimating the time-varying directions of arrivals (DOAs) of source signals. Sequential estimation is performed based on a random process representation of the unknown DOAs.
Yongsung Park +2 more
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The variational approximation for Bayesian inference
IEEE Signal Processing Magazine, 2008The influence of this Thomas Bayes' work was immense. It was from here that "Bayesian" ideas first spread through the mathematical world, as Bayes's own article was ignored until 1780 and played no important role in scientific debate until the 20th century.
Dimitris G. Tzikas +2 more
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Variational Bayesian Inference for a Nonlinear Forward Model
IEEE Transactions on Signal Processing, 2009 Variational Bayes (VB) has been proposed as a method to facilitate calculations of the posterior distributions for linear models, by providing a fast method for Bayesian inference by estimating the parameters of a factorized approximation to the posterior distribution.
Michael A Chappell +2 more
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Bayesian Estimation of Beta Mixture Models with Variational Inference
IEEE Transactions on Pattern Analysis and Machine Intelligence, 2011Bayesian estimation of the parameters in beta mixture models (BMM) is analytically intractable. The numerical solutions to simulate the posterior distribution are available, but incur high computational cost. In this paper, we introduce an approximation to the prior/posterior distribution of the parameters in the beta distribution and propose an ...
Zhanyu Ma, Arne Leijon
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Sparse audio inpainting with variational Bayesian inference
2018 IEEE International Conference on Consumer Electronics (ICCE), 2018Audio inpainting is defined as the process of restoring the damaged segments of an audio signal, based on the known signal values and prior information about the signal. In this paper, we formulate the problem in a Bayesian framework and adopt an efficient sparsity inducing Students-t prior distribution, assumed for the discrete cosine transform ...
Giannis K. Chantas +2 more
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Variational and stochastic inference for Bayesian source separation
Digital Signal Processing, 2007We tackle the general linear instantaneous model (possibly underdetermined and noisy) where we model the source prior with a Student t distribution. The conjugate-exponential characterisation of the t distribution as an infinite mixture of scaled Gaussians enables us to do efficient inference.
Ali Taylan Cemgil +2 more
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Variational Inference for Nonparametric Bayesian Quantile Regression
Proceedings of the AAAI Conference on Artificial Intelligence, 2015Quantile regression deals with the problem of computing robust estimators when the conditional mean and standard deviation of the predicted function are inadequate to capture its variability. The technique has an extensive list of applications, including health sciences, ecology and finance.
Sachinthaka Abeywardana +1 more
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Variational Bayesian inference for stereo object tracking
2013 IEEE International Conference on Acoustics, Speech and Signal Processing, 2013In this paper, we deal with object tracking in stereo video sequences. We introduce a Bayesian framework for utilizing the results of any conventional single channel object tracker, in order to accomplish the refinement of the tracking accuracy in the left/right video channel.
Giannis K. Chantas +2 more
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