Publications related to Groebner Basis Methods for Multichannel Sampling with Unknown Offsets

Fourier movement primitives: an approach for learning rhythmic robot skills from demonstrations

Whether in factory or household scenarios, rhythmic movements play a crucial role in many daily-life tasks. In this paper we propose a Fourier movement primitive (FMP) representation to learn such type of skills from human demonstrations. Our approach take ...

2020

Super Resolution Phase Retrieval for Sparse Signals

Martin Vetterli, Juri Ranieri, Gilles Baechler, Amina Chebira, Miranda Krekovic

In a variety of fields, in particular those involving imaging and optics, we often measure signals whose phase is missing or has been irremediably distorted. Phase retrieval attempts to recover the phase information of a signal from the magnitude of its Fo ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2018

An FFT-based Numerical Method for Elasto-Plastic Contact

Jean-François Molinari, Guillaume Anciaux, Lucas Henri Galilée Frérot

Contact of rough surfaces is of prime importance in the study of friction and wear. Numerical simulations are well suited for this non-linear problem, but natural surfaces being fractal [1], they have high discretization requirements. There is therefore a ...

2018

A semi-algebraic version of Zarankiewicz's problem

János Pach

A bipartite graph G is semi-algebraic in R-d if its vertices are represented by point sets P,Q subset of R-d and its edges are defined as pairs of points (p,q) epsilon P x Q that satisfy a Boolean combination of a fixed number of polynomial equations and i ...

European Mathematical Soc2017

Formal Verification of Integer Multipliers by Combining Gröbner Basis with Logic Reduction

Mathias Soeken

Formal verification utilizing symbolic computer algebra has demonstrated the ability to formally verify large Galois field arithmetic circuits and basic architectures of integer arithmetic circuits. The technique models the circuit as Gröbner basis polynom ...

IEEE2016

Spatial fringe analysis techniques for multiple phase and phase derivative estimation

Rishikesh Dilip Kulkarni

Analysis of fringe patterns for the accurate estimation of phase and phase derivatives is of crucial importance in optical interferometry as these quantities provide important information on the physical parameters under study. A wide range of applications ...

EPFL2016

Learning-Based Compressive Subsampling

Volkan Cevher, Jonathan Mark Scarlett, Ilija Bogunovic, Yen-Huan Li, Luca Baldassarre, Baran Gözcü

The problem of recovering a structured signal

\mathbf{x} \in \mathbb{C}^p

from a set of dimensionality-reduced linear measurements

\mathbf{b} = \mathbf {A}\mathbf {x}

arises in a variety of applications, such as medical imaging, spectroscopy, Fourier o ...

Ieee-Inst Electrical Electronics Engineers Inc2016

Method and apparatus for low complexity spectral analysis of bio-signals

David Atienza Alonso, Andreas Peter Burg, Srinivasan Murali, Georgios Karakonstantis, Aviinaash Sankaranarayanan

A method and device for reducing the computational complexity of a processing algorithm, of a discrete signal, in particular of the spectral estimation and analysis of bio-signals, with minimum or no quality loss, which comprises steps of (a) choosing a do ...

2015

Quadtree Structured Image Approximation for Denoising and Interpolation

Adam James Scholefield, Pier Luigi Dragotti

The success of many image restoration algorithms is often due to their ability to sparsely describe the original signal. Shukla et al. proposed a compression algorithm, based on a sparse quadtree decomposition model, which could optimally represent piecewi ...

Institute of Electrical and Electronics Engineers2014

Ramsey-type results for semi-algebraic relations

János Pach

A k-ary semi-algebraic relation E on R^d is a subset of R^{kd}, the set of k-tuples of points in R^d, which is determined by a finite number of polynomial equations and inequalities in kd real variables. The description complexity of such a relation is at ...

2013

Groebner Basis Methods for Multichannel Sampling with Unknown Offsets

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Fourier movement primitives: an approach for learning rhythmic robot skills from demonstrations

Super Resolution Phase Retrieval for Sparse Signals

An FFT-based Numerical Method for Elasto-Plastic Contact

A semi-algebraic version of Zarankiewicz's problem

Formal Verification of Integer Multipliers by Combining Gröbner Basis with Logic Reduction

Spatial fringe analysis techniques for multiple phase and phase derivative estimation

Learning-Based Compressive Subsampling

Method and apparatus for low complexity spectral analysis of bio-signals

Quadtree Structured Image Approximation for Denoising and Interpolation

Ramsey-type results for semi-algebraic relations

Fourier movement primitives: an approach for learning rhythmic robot skills from demonstrations

Formal Verification of Integer Multipliers by Combining Gröbner Basis with Logic Reduction

Super Resolution Phase Retrieval for Sparse Signals

A semi-algebraic version of Zarankiewicz's problem

An FFT-based Numerical Method for Elasto-Plastic Contact

Spatial fringe analysis techniques for multiple phase and phase derivative estimation

Method and apparatus for low complexity spectral analysis of bio-signals

Learning-Based Compressive Subsampling

Quadtree Structured Image Approximation for Denoising and Interpolation

Ramsey-type results for semi-algebraic relations