Publications related to Perturbation theory

Kernel Regression for Graph Signal Prediction in Presence of Sparse Noise

In presence of sparse noise we propose kernel regression for predicting output vectors which are smooth over a given graph. Sparse noise models the training outputs being corrupted either with missing samples or large perturbations. The presence of sparse ...

IEEE2019

The time-dependent expected reward and deviation matrix of a finite QBD process

Sophie Myriam Hautphenne

Deriving the time-dependent expected reward function associated with a continuous-time Markov chain involves the computation of its transient deviation matrix. In this paper we focus on the special case of a finite quasi-birth-and-death (QBD) process, moti ...

ELSEVIER SCIENCE INC2019

Noise-induced desynchronization and stochastic escape from equilibrium in complex networks

Robin Delabays

Complex physical systems are unavoidably subjected to external environments not accounted for in the set of differential equations that models them. The resulting perturbations are standardly represented by noise terms. If these terms are large enough, the ...

2019

SparseFool: a few pixels make a big difference

Pascal Frossard, Seyed Mohsen Moosavi Dezfooli, Apostolos Modas

Deep Neural Networks have achieved extraordinary results on image classification tasks, but have been shown to be vulnerable to attacks with carefully crafted perturbations of the input data. Although most attacks usually change values of many image's pixe ...

IEEE2019

Analysis of output modifier adaptation for real-time optimization

Dominique Bonvin, Alejandro Gabriel Marchetti

In the context of real-time optimization, modifier-adaptation schemes update the model-based optimization problem by adding first-order correction terms to the cost and constraint functions of the optimization problem. This guarantees meeting the plant fir ...

PERGAMON-ELSEVIER SCIENCE LTD2019

Vibrational modes of Q-balls

Andrey Shkerin

We study linear perturbations of classically stable Q-balls in theories admitting analytic solutions. Although the corresponding boundary value problem is non-Hermitian, the analysis of perturbations can also be performed analytically in certain regimes. W ...

AMER PHYSICAL SOC2018

Weyl sums and the Lyapunov exponent for the skew-shift Schrödinger cocycle

Marius Christopher Lemm, Rui Han

We study the one-dimensional discrete Schrödinger operator with the skew-shift potential

2\lambda\cos\left(2\pi \left(\binom{j}{2} \omega+jy+x\right)\right)

. This potential is long conjectured to behave like a random one, i.e., it is expected to produce ...

2018

Robustness of Classifiers to Universal Perturbations: A Geometric Perspective

Pascal Frossard, Seyed Mohsen Moosavi Dezfooli, Alhussein Fawzi

Deep networks have recently been shown to be vulnerable to universal perturbations: there exist very small image-agnostic perturbations that cause most natural images to be misclassified by such classifiers. In this paper, we provide a quantitative analysi ...

2018

Evolution and decay of gravity wavefields in weak-rotating environments: a laboratory study

Hugo Nicolás Ulloa Sánchez

Gravity waves are prominent physical features that play a fundamental role in transport processes of stratified aquatic ecosystems. In a two-layer stratified basin, the equations of motion for the first vertical mode are equivalent to the linearised shallo ...

2018

Characteristic modes of vibration of Q-balls

Andrey Shkerin

In this report, based on [1], we study analytically small perturbations of classically stable Q-balls in 3+1 dimensions. Models with flat and polynomial potentials are considered. We find that large Q-balls in the model with the flat potential possess soft ...

EDP SCIENCES2018

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Kernel Regression for Graph Signal Prediction in Presence of Sparse Noise

The time-dependent expected reward and deviation matrix of a finite QBD process

Noise-induced desynchronization and stochastic escape from equilibrium in complex networks

SparseFool: a few pixels make a big difference

Analysis of output modifier adaptation for real-time optimization

Vibrational modes of Q-balls

Weyl sums and the Lyapunov exponent for the skew-shift Schrödinger cocycle

Robustness of Classifiers to Universal Perturbations: A Geometric Perspective

Evolution and decay of gravity wavefields in weak-rotating environments: a laboratory study

Characteristic modes of vibration of Q-balls

SparseFool: a few pixels make a big difference

Kernel Regression for Graph Signal Prediction in Presence of Sparse Noise

Vibrational modes of Q-balls

Weyl sums and the Lyapunov exponent for the skew-shift Schrödinger cocycle

Evolution and decay of gravity wavefields in weak-rotating environments: a laboratory study

The time-dependent expected reward and deviation matrix of a finite QBD process

Noise-induced desynchronization and stochastic escape from equilibrium in complex networks

Robustness of Classifiers to Universal Perturbations: A Geometric Perspective

Analysis of output modifier adaptation for real-time optimization

Characteristic modes of vibration of Q-balls