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

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

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 from an independent and identically distributed sample drawn from such density is presented. Our estimator is a linear combination of kernel functions, the coefficients of which are determined b ...

SIAM PUBLICATIONS2023

Non-intrusive data-driven reduced-order modeling for time-dependent parametrized problems

Jan Sickmann Hesthaven, Junming Duan

Reduced-order models are indispensable for multi-query or real-time problems. However, there are still many challenges to constructing efficient ROMs for time-dependent parametrized problems. Using a linear reduced space is inefficient for time-dependent n ...

San Diego2023

Get the Best of Both Worlds: Improving Accuracy and Transferability by Grassmann Class Representation

Haoqi Wang, Zhigang Li

We generalize the class vectors found in neural networks to linear subspaces (i.e., points in the Grassmann manifold) and show that the Grassmann Class Representation (GCR) enables simultaneous improvement in accuracy and feature transferability. In GCR, e ...

Ieee Computer Soc2023

Quadratic serendipity element shape functions on general planar polygons

Xiaodong Wei, Juan Cao

This paper proposes a method for the construction of quadratic serendipity element (QSE) shape functions on planar convex and concave polygons. Existing approaches for constructing QSE shape functions are linear combinations of the pair-wise products of ge ...

ELSEVIER SCIENCE SA2022

Identifiability and Generalizability from Multiple Experts in Inverse Reinforcement Learning

Volkan Cevher, Paul Thierry Yves Rolland, Luca Viano, Boris Nikolov

While Reinforcement Learning (RL) aims to train an agent from a reward function in a given environment, Inverse Reinforcement Learning (IRL) seeks to recover the reward function from observing an expert’s behavior. It is well known that, in general, variou ...

2022

Discrete Voss surfaces: Designing geodesic gridshells with planar cladding panels

Corentin Jean Dominique Fivet, Nicolas Robin Montagne, Olivier Baverel

The design and construction of doubly-curved structures often reveals to be challenging and can result in complex manufacturing and assembly. A recent strategy to tackle this difficulty consists in exploiting the connection between discrete differential ge ...

2022

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

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

Dynamically Orthogonal Approximation for Stochastic Differential Equations

Density Estimation In Rkhs With Application To Korobov Spaces In High Dimensions

Short homology bases for hyperelliptic hyperbolic surfaces

Non-intrusive data-driven reduced-order modeling for time-dependent parametrized problems

Get the Best of Both Worlds: Improving Accuracy and Transferability by Grassmann Class Representation

Quadratic serendipity element shape functions on general planar polygons

Identifiability and Generalizability from Multiple Experts in Inverse Reinforcement Learning

An element-based formulation for ES-FEM and FS-FEM models for implementation in standard solid mechanics finite element codes for 2D and 3D static analysis

Discrete Voss surfaces: Designing geodesic gridshells with planar cladding panels

Graph Chatbot

Chattez avec Graph Search

Density Estimation In Rkhs With Application To Korobov Spaces In High Dimensions

Get the Best of Both Worlds: Improving Accuracy and Transferability by Grassmann Class Representation

Quadratic serendipity element shape functions on general planar polygons

Short homology bases for hyperelliptic hyperbolic surfaces

Dynamically Orthogonal Approximation for Stochastic Differential Equations

Non-intrusive data-driven reduced-order modeling for time-dependent parametrized problems

An element-based formulation for ES-FEM and FS-FEM models for implementation in standard solid mechanics finite element codes for 2D and 3D static analysis

Discrete Voss surfaces: Designing geodesic gridshells with planar cladding panels

Identifiability and Generalizability from Multiple Experts in Inverse Reinforcement Learning

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