Publications associées à Semianalytical approach to the design of photonic crystal cavities

Testing Theories of the Glass Transition with the Same Liquid but Many Kinetic Rules

Matthieu Wyart, Carolina Brito Carvalho dos Santos

We study the glass transition by exploring a broad class of kinetic rules that can significantly modify the normal dynamics of supercooled liquids while maintaining thermal equilibrium. Beyond the usual dynamics of liquids, this class includes dynamics in ...

Amer Physical Soc2024

Dynamically Orthogonal Approximation for Stochastic Differential Equations

Fabio Nobile, Yoshihito Kazashi, Fabio Zoccolan

In this paper, we set the mathematical foundations of the Dynamical Low Rank Approximation (DLRA) method for high-dimensional stochastic differential equations. DLRA aims at approximating the solution as a linear combination of a small number of basis vect ...

2023

MATHICSE Technical Report : Density estimation in RKHS with application to Korobov spaces in high dimensions

Fabio Nobile, Yoshihito Kazashi

A kernel method for estimating a probability density function (pdf) from an i.i.d. sample drawn from such density is presented. Our estimator is a linear combination of kernel functions, the coefficients of which are determined by a linear equation. An err ...

MATHICSE2021

MATHICSE Technical Report: Existence of dynamical low rank approximations for random semi-linear evolutionary equations on the maximal interval

Fabio Nobile, Yoshihito Kazashi

An existence result is presented for the dynamical low rank (DLR) approximation for random semi-linear evolutionary equations. The DLR solution approximates the true solution at each time instant by a linear combination of products of deterministic and sto ...

MATHICSE2020

3D Steerable CNNs: Learning Rotationally Equivariant Features in Volumetric Data

Mario Geiger

We present a convolutional network that is equivariant to rigid body motions. The model uses scalar-, vector-, and tensor fields over 3D Euclidean space to represent data, and equivariant convolutions to map between such representations. These SE(3)-equiva ...

NEURAL INFORMATION PROCESSING SYSTEMS (NIPS)2018

Quantification of scattering loss of III-nitride photonic crystal cavities in the blue spectral range

Nicolas Grandjean, Jean-François Carlin, Raphaël Butté, Ian Michael Rousseau, Irene Sánchez Arribas, Kanako Shojiki

The mechanisms contributing to experimental quality factors of shortwavelength (lambda = 440-480 nm) III-nitride on silicon one-dimensional photonic crystal cavities were quantified. Fluctuations in fundamental and first-order cavity mode wavelength and qu ...

Amer Physical Soc2017

Autonomous Learning of Internal Dynamic Models for Reaching Tasks

Auke Ijspeert, Tadej Petric

The paper addresses the problem of learning internal task-specific dynamic models for a reaching task. Using task-specific dynamic models is crucial for achieving both high tracking accuracy and compliant behaviour, which improves safety concerns while wor ...

Springer-Verlag Berlin2016

Progress on femtosecond laser-based system-materials: three-dimensional monolithic electrostatic micro-actuator for optomechanics

Yves Bellouard, Tao Yang

Femtosecond laser-dielectric interaction in a three-dimensional (3D) manner defines a capable platform for integrated 3D micro-devices fabricated out of a single piece of system-material. Here, we add a new function to femtosecond laser-based single monoli ...

Spie-Int Soc Optical Engineering2016

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Semianalytical approach to the design of photonic crystal cavities

Testing Theories of the Glass Transition with the Same Liquid but Many Kinetic Rules

Dynamically Orthogonal Approximation for Stochastic Differential Equations

MATHICSE Technical Report : Density estimation in RKHS with application to Korobov spaces in high dimensions

MATHICSE Technical Report: Existence of dynamical low rank approximations for random semi-linear evolutionary equations on the maximal interval

Existence of dynamical low rank approximations for random semi-linear evolutionary equations on the maximal interval

3D Steerable CNNs: Learning Rotationally Equivariant Features in Volumetric Data

Cooperative data exchange based on MDS codes

Quantification of scattering loss of III-nitride photonic crystal cavities in the blue spectral range

Autonomous Learning of Internal Dynamic Models for Reaching Tasks

Progress on femtosecond laser-based system-materials: three-dimensional monolithic electrostatic micro-actuator for optomechanics

Graph Chatbot

Chattez avec Graph Search

Dynamically Orthogonal Approximation for Stochastic Differential Equations

Testing Theories of the Glass Transition with the Same Liquid but Many Kinetic Rules

Progress on femtosecond laser-based system-materials: three-dimensional monolithic electrostatic micro-actuator for optomechanics

Quantification of scattering loss of III-nitride photonic crystal cavities in the blue spectral range

Existence of dynamical low rank approximations for random semi-linear evolutionary equations on the maximal interval

Cooperative data exchange based on MDS codes

Autonomous Learning of Internal Dynamic Models for Reaching Tasks

MATHICSE Technical Report: Existence of dynamical low rank approximations for random semi-linear evolutionary equations on the maximal interval

MATHICSE Technical Report : Density estimation in RKHS with application to Korobov spaces in high dimensions

3D Steerable CNNs: Learning Rotationally Equivariant Features in Volumetric Data