Publications related to Differential operator

Statistics of Wavelet Coefficients for Sparse Self-Similar Images

Michaël Unser, Julien René Pierre Fageot, Emrah Bostan

We study the statistics of wavelet coefficients of non-Gaussian images, focusing mainly on the behaviour at coarse scales. We assume that an image can be whitened by a fractional Laplacian operator, which is consistent with an

∥ω∥ ^{ -\gamma }

spectral ...

IEEE2014

Differential behavioral and physiological effects of anodal transcranial direct current stimulation in healthy adults of younger and older age

Friedhelm Christoph Hummel

Changes in γ-aminobutyric acid (GABA) mediated synaptic transmission have been associated with age-related motor and cognitive functional decline. Since anodal transcranial direct current stimulation (atDCS) has been suggested to target cortical GABAergic ...

2014

Meta-analysis of Incomplete Microarray Studies

Meta-analysis of microarray studies to produce an overall gene list is relatively straightforward when complete data are available. When some studies lack information, providing only a ranked list of genes, for example, it is common to reduce all studies t ...

EPFL2014

A General Framework for Architecture Composability

Joseph Sifakis, Simon Bliudze, Eduard Baranov

Architectures depict design principles: paradigms that can be understood by all, allow thinking on a higher plane and avoiding low-level mistakes. They provide means for ensuring correctness by construction by enforcing global properties characterizing the ...

Springer International Publishing2014

An Alien Divalent Ion Reveals a Major Role for Ca2+ Buffering in Controlling Slow Transmitter Release

Ralf Schneggenburger, Daniel Keller, Olexiy Kochubey, Zsolt Norbert Babai

Ca2+-dependent transmitter release occurs in a fast and in a slow phase, but the differential roles of Ca2+ buffers and Ca2+ sensors in shaping release kinetics are still controversial. Replacing extracellular Ca2+ by Sr2+ causes decreased fast release but ...

2014

A General Framework for Architecture Composability

Joseph Sifakis, Simon Bliudze, Eduard Baranov

Architectures depict design principles, paradigms that can be understood by all, allow thinking on a higher plane and avoiding low-level mistakes. They provide means for ensuring correctness by construction by enforcing global properties characterizing the ...

2014

Discrete Holomorphicity and Ising Model Operator Formalism

Clément Hongler, Ali Zahabi

We explore the connection between the transfer matrix formalism and discrete complex analysis approach to the two dimensional Ising model. We construct a discrete analytic continuation matrix, analyze its spectrum and establish a direct connection with the ...

2014

Operator-Like Wavelet Bases of L-2(R-d)

Michaël Unser, John Paul Ward, Ildar Khalidov

The connection between derivative operators and wavelets is well known. Here we generalize the concept by constructing multiresolution approximations and wavelet basis functions that act like Fourier multiplier operators. This construction follows from a s ...

Springer Birkhauser2013

Operator-Like Wavelet Bases of $ L _{ 2 } $ $ (\mathbb{R} ^{ d } $ )

Michaël Unser, John Paul Ward, Ildar Khalidov

The connection between derivative operators and wavelets is well known. Here we generalize the concept by constructing multiresolution approximations and wavelet basis functions that act like Fourier multiplier operators. This construction follows from a s ...

Springer US2013

Theta lifts and local Maass forms

Maryna Viazovska

The first two authors and Kohnen have recently introduced a new class of modular objects called locally harmonic Maass forms, which are annihilated almost everywhere by the hyperbolic Laplacian operator. In this paper, we realize these locally harmonic Maa ...

2013

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Statistics of Wavelet Coefficients for Sparse Self-Similar Images

Differential behavioral and physiological effects of anodal transcranial direct current stimulation in healthy adults of younger and older age

Meta-analysis of Incomplete Microarray Studies

A General Framework for Architecture Composability

An Alien Divalent Ion Reveals a Major Role for Ca2+ Buffering in Controlling Slow Transmitter Release

A General Framework for Architecture Composability

Discrete Holomorphicity and Ising Model Operator Formalism

Operator-Like Wavelet Bases of L-2(R-d)

Operator-Like Wavelet Bases of $ L _{ 2 } $ $ (\mathbb{R} ^{ d } $ )

Theta lifts and local Maass forms

Statistics of Wavelet Coefficients for Sparse Self-Similar Images

Differential behavioral and physiological effects of anodal transcranial direct current stimulation in healthy adults of younger and older age

A General Framework for Architecture Composability

Operator-Like Wavelet Bases of L-2(R-d)

Meta-analysis of Incomplete Microarray Studies

An Alien Divalent Ion Reveals a Major Role for Ca2+ Buffering in Controlling Slow Transmitter Release

Discrete Holomorphicity and Ising Model Operator Formalism

A General Framework for Architecture Composability

Theta lifts and local Maass forms

Operator-Like Wavelet Bases of $ L _{ 2 } $ $ (\mathbb{R} ^{ d } $ )