Sparsity-based correction of exponential artifacts

Ding, Yin; Selesnick, Ivan

doi:10.1016/j.sigpro.2015.09.017

Cited by 21 publications

(11 citation statements)

References 68 publications

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“…There is a possibility to subtract the signal including the artefacts originating from the electrooculography activity. It may reduce artefacts in a significant way [9,14,15].…”

Section: Methods Of Artefact Correctionmentioning

confidence: 99%

Identification, characterisation, and correction of artefacts in electroencephalographic data in study of stationary and mobile electroencephalograph

Kaczorowska

2017

ITM Web Conf.

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Abstract. The present paper covers the review of artefacts of EEG recording, as well as methods to eliminate them, i.e. PCA and ICA. The reviewed artefacts were of various origins: biological (muscle, eye blinking, eyeball moving), as well as technological artefacts caused mainly by the power network with the frequency of 50 Hz. The research has been conducted on a group consisting of 8 students. The research was carried out with the use of two defined models of electroencephalographs: stationary and mobile, then results have been compared. The comparison of two amplifiers combined with various artefact elimination methods has been presented. Presented research has shown that the record performed by the mobile amplifier contains the artefacts of significantly lower amplitude.

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“…There is a possibility to subtract the signal including the artefacts originating from the electrooculography activity. It may reduce artefacts in a significant way [9,14,15].…”

Section: Methods Of Artefact Correctionmentioning

confidence: 99%

Identification, characterisation, and correction of artefacts in electroencephalographic data in study of stationary and mobile electroencephalograph

Kaczorowska

2017

ITM Web Conf.

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“…Also, by

, where

is a vector, we mean the diagonal matrix whose diagonal elements are the reciprocals of the elements of the vector

. To avoid numerical problems when elements of

are equal to zero, we actually use

with

( Ding & Selesnick, 2016 ).…”

Section: Proposed Algorithm For Saccade Detectionmentioning

confidence: 99%

Detection of normal and slow saccades using implicit piecewise polynomial approximation

et al. 2021

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The quantitative analysis of saccades in eye movement data unveils information associated with intention, cognition, and health status. Abnormally slow saccades are indicative of neurological disorders and often imply a specific pathological disturbance. However, conventional saccade detection algorithms are not designed to detect slow saccades, and are correspondingly unreliable when saccades are unusually slow. In this article, we propose an algorithm that is effective for the detection of both normal and slow saccades. The proposed algorithm is partly based on modeling saccadic waveforms as piecewise-quadratic signals. The algorithm first decreases noise in acquired eye-tracking data using optimization to minimize a prescribed objective function, then uses velocity thresholding to detect saccades. Using both simulated saccades and real saccades generated by healthy subjects and patients, we evaluate the performance of the proposed algorithm and 10 other detection algorithms. We show the proposed algorithm is more accurate in detecting both normal and slow saccades than other algorithms.

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“…[ [3,4,5] ], [ [6,7,8,9] ] Figure 7. A three dimensional array, irregularly grouping rows of a triangular matrix.…”

Section: Position Dependent Array Typementioning

confidence: 99%

“…For instance, triangular matrices are extremely important in many fields, as they are commonly used to perform efficient inversion of symmetric matrices [3]. Moreover, many physical phenomena can be modelled using matrices that have unusual characteristics, such as banded matrices, or even more exotic type of matrices [7].…”

Section: Introductionmentioning

confidence: 99%

Position-dependent arrays and their application for high performance code generation

Pizzuti

Steuwer

Dubach

2019

Proceedings of the 8th ACM SIGPLAN International Workshop on Functional High-Performance and Numerical Computing

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Modern parallel hardware promises unprecedented performance, for the gifted few experts who can program it correctly. Code generators from high-level languages provide an attractive alternative, promising to deliver high performance automatically. Existing projects such as Accelerate, Futhark, Halide, or Lift show that this approach is feasible. Unfortunately, existing efforts focus on computations over tensors: regularly shaped higher dimensional arrays. This limits the expressiveness of these approaches and excludes many interesting data structures that are commonly encoded manually in memory, such as trees or triangular matrices.This paper presents an extended array type that lifts this restriction. For multidimensional arrays, the size of a nested array might depend on its position in the surrounding arrays, which enables the expression of computations over less regularly shaped data structures. However, these positiondependent arrays bring new challenges for high-performance code generation, as determining the position of the elements in memory becomes more challenging.This paper shows how these challenges are addressed by extending the existing Lift type system and compiler. The experimental results show that this approach enables the efficient code generation of triangular matrix-vector multiplication, with performance improvements over cuBLAS on an Nvidia GPU by up to 2×. Furthermore, we show a use case for a low-level optimization for avoiding unnecessary out-ofbound checks in stencils, leading to up to 3× improvements over already optimized generated stencil codes.

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Sparsity-based correction of exponential artifacts

Cited by 21 publications

References 68 publications

Identification, characterisation, and correction of artefacts in electroencephalographic data in study of stationary and mobile electroencephalograph

Identification, characterisation, and correction of artefacts in electroencephalographic data in study of stationary and mobile electroencephalograph

Detection of normal and slow saccades using implicit piecewise polynomial approximation

Position-dependent arrays and their application for high performance code generation

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