Publications related to Log Barriers for Safe Non-convex Black-box Optimization

Distributional Regression and Autoregression via Optimal Transport

We present a framework for performing regression when both covariate and response are probability distributions on a compact and convex subset of

\R^d

. Our regression model is based on the theory of optimal transport and links the conditional Fr'echet m ...

EPFL2023

Localization errors of the stochastic heat equation

David Jean-Michel Candil

In this thesis, we study the stochastic heat equation (SHE) on bounded domains and on the whole Euclidean space

\R^d.

We confirm the intuition that as the bounded domain increases to the whole space, both solutions become arbitrarily close to one another ...

EPFL2022

Compact, Spatial-mode-interaction-free, Ultralow-loss, Nonlinear photonic integrated circuits

Tobias Kippenberg, Rui Ning Wang, Xinru Ji, Zheru Qiu, Junqiu Liu, Jijun He

We implement Euler bends to build compact high-Q Si3N4 racetrack microresonators, featuring a small footprint of only 0.21 mm(2) for 19.8 GHz FSR. We demonstrate that these multi-mode microresonators can be operated in the single-mode regime and generate a ...

IEEE2022

An Efficient Sampling Algorithm for Non-smooth Composite Potentials

Nicolas Henri Bernard Flammarion

We consider the problem of sampling from a density of the form p(x) ? exp(-f (x) - g(x)), where f : Rd-+ R is a smooth function and g : R-d-+ R is a convex and Lipschitz function. We propose a new algorithm based on the Metropolis-Hastings framework. Under ...

MICROTOME PUBL2022

Estimate on the Dimension of the Singular Set of the Supercritical Surface Quasigeostrophic Equation

Maria Carola Colombo, Silja Noëmi Aline Haffter

We consider the SQG equation with dissipation given by a fractional Laplacian of order α

2021

A combinatorial proof of a sumset conjecture of Furstenberg

Florian Karl Richter

We give a new proof of a sumset conjecture of Furstenberg that was first proved by Hochman and Shmerkin in 2012: if

\log r / \log s

is irrational and

X

and

Y

are

\times r

- and

\times s

-invariant subsets of

[0,1]

, respectively, then $\dim_\text{ ...

2021

Quantitative estimate on singularities in isoperimetric clusters

Maria Colombo

We prove a quantitative estimate on the number of certain singularities in almost minimizing clusters. In particular, we consider the singular points belonging to the lowest stratum of the Federer-Almgren stratification (namely, where each tangent cone doe ...

2019

Geometric ergodicity for some space-time max-stable Markov chains

Erwan Fabrice Koch

Max-stable processes are central models for spatial extremes. In this paper, we focus on some space-time max-stable models introduced in Embrechts et al. (2016). The processes considered induce discrete-time Markov chains taking values in the space of cont ...

ELSEVIER SCIENCE BV2019

Convergence analysis of Padé approximations for Helmholtz frequency response problems

Fabio Nobile, Francesca Bonizzoni

The present work concerns the approximation of the solution map

S

associated to the parametric Helmholtz boundary value problem, i.e., the map which associates to each (real) wavenumber belonging to a given interval of interest the corresponding solution ...

2018

Capsule recycling system for domestic coffee machines

Guglielmo Milan, Fernando Castañeda, Luca Massera

The system and method for used capsules (11), such as coffee capsules, with a lid and a capsule body, comprises at least cutting means (17) to cut the lid from the body, capturing means to extract the cut lid from the body, compacting means (12, 14) to com ...

2018

Log Barriers for Safe Non-convex Black-box Optimization

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Distributional Regression and Autoregression via Optimal Transport

Localization errors of the stochastic heat equation

Compact, Spatial-mode-interaction-free, Ultralow-loss, Nonlinear photonic integrated circuits

An Efficient Sampling Algorithm for Non-smooth Composite Potentials

Estimate on the Dimension of the Singular Set of the Supercritical Surface Quasigeostrophic Equation

A combinatorial proof of a sumset conjecture of Furstenberg

Quantitative estimate on singularities in isoperimetric clusters

Geometric ergodicity for some space-time max-stable Markov chains

Convergence analysis of Padé approximations for Helmholtz frequency response problems

Capsule recycling system for domestic coffee machines

Distributional Regression and Autoregression via Optimal Transport

A combinatorial proof of a sumset conjecture of Furstenberg

Localization errors of the stochastic heat equation

Compact, Spatial-mode-interaction-free, Ultralow-loss, Nonlinear photonic integrated circuits

Estimate on the Dimension of the Singular Set of the Supercritical Surface Quasigeostrophic Equation

Geometric ergodicity for some space-time max-stable Markov chains

An Efficient Sampling Algorithm for Non-smooth Composite Potentials

Convergence analysis of Padé approximations for Helmholtz frequency response problems

Capsule recycling system for domestic coffee machines

Quantitative estimate on singularities in isoperimetric clusters