Publications related to Two subtle convex nonlocal approximations of the BV-norm

The $ L ^{ 1 } $ -Potts Functional for Robust Jump-Sparse Reconstruction

We investigate the nonsmooth and nonconvex

L ^{ 1 }

-Potts functional in discrete and continuous time. We show Γ-convergence of discrete

L ^{ 1 }

-Potts functionals toward their continuous counterpart and obtain a convergence statement for the corr ...

SIAM2015

Stable blow up dynamics for energy supercritical wave equations

Roland Donninger

We study the semilinear wave equation

\displaystyle \partial _t^2 \psi -\Delta \psi =\vert\psi \vert^{p-1}\psi

for

p > 3

with radial data in three spatial dimensions. There exists an explicit solution which blows up at

t=T>0

given by $\displaystyl ...

American Mathematical Society2014

Diffusion LMS for multitask problems with overlapping hypothesis subspaces

Ali H. Sayed, Jie Chen

There are many important applications that are multitask-oriented in the sense that there are multiple optimum parameter vectors to be inferred simultaneously by networked agents. In this paper, we formulate an online multitask learning problem where node ...

IEEE2014

Convergence of Ising Interfaces to Schramm's SLE Curves

Clément Hongler, Stanislav Smirnov

We show how to combine our earlier results to deduce strong convergence of the interfaces in the planar critical Ising model and its random-cluster representation to Schramm’s SLE curves with parameter κ = 3 and κ = 16 / 3 respectively. ...

2014

On the Convergence Speed of Spatially Coupled LDPC Ensembles

Vahid Aref

Spatially coupled low-density parity-check codes show an outstanding performance under the low-complexity belief propagation (BP) decoding algorithm. They exhibit a peculiar convergence phenomenon above the BP threshold of the underlying non-coupled ensemb ...

2013

Using the interface Peclet number to select the maximum simulation interface width in phase-field solidification modelling

Jonathan Dantzig

This study investigates the use of interface Peclet number P = w/(D-l/V-tip), to determine the interface width (w) used in phase-field simulations, where D-l is the liquid diffusivity and V-tip is the tip velocity. The maximum simulation interface width (w ...

Elsevier2013

Passing to the limit in maximal slope curves: from a regularized Perona–Malik equation to the total variation flow

Maria Colombo

We prove that solutions of a mildly regularized Perona–Malik equation converge, in a slow time scale, to solutions of the total variation flow. The convergence result is global-in-time, and holds true in any space dimension. The proof is based on the gener ...

2012

MATHICSE Technical Report : Analysis and computation of the elastic wave equation with random coefficients

Fabio Nobile

We analyze the stochastic initial-boundary value problem for the elastic wave equation with random coefficients and deterministic data. We propose a stochastic collocation method for computing statistical moments of the solution or statistics of some given ...

MATHICSE2012

Gaze Evidence for Different Activities in Program Understanding

Pierre Dillenbourg, Patrick Jermann, Kshitij Sharma, Marc-Antoine Nüssli

We present an empirical study that illustrates the potential of dual eye-tracking to detect successful understanding and social processes during pair programming. The gaze of forty pairs of programmers was recorded during a program understanding task. An a ...

2012

On the Convergence of EM-Like Algorithms for Image Segmentation using Markov Random Fields

Meritxell Bach Cuadra, Delphine Ribes Lemay, Gunnar Krüger, Alexis Roche

Inference of Markov random field images segmentation models is usually performed using iterative methods which adapt the well-known expectation-maximization (EM) algorithm for independent mixture models. However, some of these adaptations are ad-hoc and ma ...

2011

Two subtle convex nonlocal approximations of the BV-norm

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The $ L ^{ 1 } $ -Potts Functional for Robust Jump-Sparse Reconstruction

Stable blow up dynamics for energy supercritical wave equations

Diffusion LMS for multitask problems with overlapping hypothesis subspaces

Convergence of Ising Interfaces to Schramm's SLE Curves

On the Convergence Speed of Spatially Coupled LDPC Ensembles

Using the interface Peclet number to select the maximum simulation interface width in phase-field solidification modelling

Passing to the limit in maximal slope curves: from a regularized Perona–Malik equation to the total variation flow

MATHICSE Technical Report : Analysis and computation of the elastic wave equation with random coefficients

Gaze Evidence for Different Activities in Program Understanding

On the Convergence of EM-Like Algorithms for Image Segmentation using Markov Random Fields

Diffusion LMS for multitask problems with overlapping hypothesis subspaces

Using the interface Peclet number to select the maximum simulation interface width in phase-field solidification modelling

The $ L ^{ 1 } $ -Potts Functional for Robust Jump-Sparse Reconstruction

Passing to the limit in maximal slope curves: from a regularized Perona–Malik equation to the total variation flow

MATHICSE Technical Report : Analysis and computation of the elastic wave equation with random coefficients

Gaze Evidence for Different Activities in Program Understanding

On the Convergence of EM-Like Algorithms for Image Segmentation using Markov Random Fields

Stable blow up dynamics for energy supercritical wave equations

On the Convergence Speed of Spatially Coupled LDPC Ensembles

Convergence of Ising Interfaces to Schramm's SLE Curves