Publications related to On Gaussian Process based Koopman Operator

A stability theory beyond the co-rotational setting for critical wave maps blow up

We exhibit non-equivariant perturbations of the blowup solutions constructed in [18] for energy critical wave maps into

\mathbb{S}^2

. Our admissible class of perturbations is an open set in some sufficiently smooth topology and vanishes near the light co ...

2020

Model order reduction for large-scale structures with local nonlinearities

Jan Sickmann Hesthaven, Mengwu Guo, Zhenying Zhang

In solid mechanics, linear structures often exhibit (local) nonlinear behavior when close to failure. For instance, the elastic deformation of a structure becomes plastic after being deformed beyond recovery. To properly assess such problems in a real-life ...

ELSEVIER SCIENCE SA2019

Multi-channel Time Encoding for Improved Reconstruction of Bandlimited Signals

Martin Vetterli, Adam James Scholefield, Karen Adam

Traditional sampling involves encoding a signal through (time, value)-pairs. In contrast, time encoding machines (TEMs) characterize a signal by recording time points which depend on the integral of the signal over time. We study multi-channel TEMs where c ...

2019

Kernel methods and Model predictive approaches for Learning and Control

Sanket Sanjay Diwale

Data-driven modeling and feedback control play a vital role in several application areas ranging from robotics, control theory, manufacturing to management of assets, financial portfolios and supply chains. Many such problems in one way or another are rela ...

EPFL2019

Robust Controller Design For Linear Systems With Nonlinear Distortions: A Data-Driven Approach

Alireza Karimi, Achille Nicoletti

The extensive use of frequency-domain tools for analyzing and controlling linear systems have become indispensable for the control systems engineer. However, due to the increased performance demands on today's industrial systems, the effects of certain non ...

IEEE2018

Robust Controller Design For Linear Systems With Nonlinear Distortions: A Data-Driven Approach

Alireza Karimi, Achille Nicoletti

The extensive use of frequency-domain tools for analyzing and controlling linear systems have become indispensable for the control systems engineer. However, due to the increased performance demands on today's industrial systems, the effects of certain non ...

Elsevier2018

Robust Controller Design For Linear Systems With Nonlinear Distortions. A Data-Driven Approach

Alireza Karimi, Achille Nicoletti

The extensive use of frequency-domain tools for analyzing and controlling linear systems have become indispensable for the control systems engineer. However, due to the increased performance demands on today's industrial systems, the effects of certain non ...

2018

A Data-Driven Frequency-Domain Approach for Robust Controller Design via Convex Optimization

Achille Nicoletti

The objective of this dissertation is to develop data-driven frequency-domain methods for designing robust controllers through the use of convex optimization algorithms. Many of today's industrial processes are becoming more complex, and modeling accurate ...

EPFL2018

The stochastic heat equation: hitting probabilities and the probability density function of the supremum via Malliavin calculus

Fei Pu

In this thesis, we study systems of linear and/or non-linear stochastic heat equations and fractional heat equations in spatial dimension

1

driven by space-time white noise. The main topic is the study of hitting probabilities for the solutions to these ...

EPFL2018

Mapping Monotone Boolean Functions into Majority

Giovanni De Micheli, Mathias Soeken, Luca Gaetano Amarù, Eleonora Testa, Winston Jason Haaswijk

We consider the problem of decomposing monotone Boolean functions into majority-of-three operations, with a particular focus on decomposing the majority-n function. When targeting monotone Boolean functions, Shannon's expansion can be expressed by a single ...

2018

On Gaussian Process based Koopman Operator

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A stability theory beyond the co-rotational setting for critical wave maps blow up

Model order reduction for large-scale structures with local nonlinearities

Multi-channel Time Encoding for Improved Reconstruction of Bandlimited Signals

Kernel methods and Model predictive approaches for Learning and Control

Robust Controller Design For Linear Systems With Nonlinear Distortions: A Data-Driven Approach

Robust Controller Design For Linear Systems With Nonlinear Distortions: A Data-Driven Approach

Robust Controller Design For Linear Systems With Nonlinear Distortions. A Data-Driven Approach

A Data-Driven Frequency-Domain Approach for Robust Controller Design via Convex Optimization

The stochastic heat equation: hitting probabilities and the probability density function of the supremum via Malliavin calculus

Mapping Monotone Boolean Functions into Majority

Model order reduction for large-scale structures with local nonlinearities

Robust Controller Design For Linear Systems With Nonlinear Distortions: A Data-Driven Approach

A stability theory beyond the co-rotational setting for critical wave maps blow up

Robust Controller Design For Linear Systems With Nonlinear Distortions: A Data-Driven Approach

The stochastic heat equation: hitting probabilities and the probability density function of the supremum via Malliavin calculus

Robust Controller Design For Linear Systems With Nonlinear Distortions. A Data-Driven Approach

Multi-channel Time Encoding for Improved Reconstruction of Bandlimited Signals

Kernel methods and Model predictive approaches for Learning and Control

Mapping Monotone Boolean Functions into Majority

A Data-Driven Frequency-Domain Approach for Robust Controller Design via Convex Optimization