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Michael Zibulevsky

Publications and source records attributed to Michael Zibulevsky.

3 recordsLinked to original sources

Learning subject-specific spatial and temporal filters for single-trial EEG classification.

There are a wide variety of electroencephalography (EEG) analysis methods. Most of them are based on averaging over multiple trials in order to increase signal-to-noise ratio. The method introduced in this article is a single trial method. Our approach is based on the assumption that the "response of interest" to each task is smooth, and is contained in several sensor channels. We propose a two-stage preprocessing method. In the first stage, we apply spatial filtering by taking weighted linear combinations of the sensor measurements. In the second stage, we perform time-domain filtering. In both steps, we derive filters that maximize a class dissimilarity measure subject to regularizing constraints on the total variation of the average estimated signal (or, alternatively, on the signal's strength in time intervals where it is known to be absent). No other spatial or spectral assumptions with regard to the anatomy or sources were made.

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Blind deconvolution of images using optimal sparse representations.

The relative Newton algorithm, previously proposed for quasi-maximum likelihood blind source separation and blind deconvolution of one-dimensional signals is generalized for blind deconvolution of images. Smooth approximation of the absolute value is used as the nonlinear term for sparse sources. In addition, we propose a method of sparsification, which allows blind deconvolution of arbitrary sources, and show how to find optimal sparsifying transformations by supervised learning.

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Reconstruction in diffraction ultrasound tomography using nonuniform FFT.

We show an iterative reconstruction framework for diffraction ultrasound tomography. The use of broad-band illumination allows significant reduction of the number of projections compared to straight ray tomography. The proposed algorithm makes use of forward nonuniform fast Fourier transform (NUFFT) for iterative Fourier inversion. Incorporation of total variation regularization allows the reduction of noise and Gibbs phenomena while preserving the edges. The complexity of the NUFFT-based reconstruction is comparable to the frequency-domain interpolation (gridding) algorithm, whereas the reconstruction accuracy (in sense of the L2 and the L(infinity) norm) is better.

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