Publications associées à Curvature of Riemannian manifolds

Anomalous and Chern topological waves in hyperbolic networks

Romain Christophe Rémy Fleury, Haoye Qin, Aleksi Antoine Bossart, Zhechen Zhang

Hyperbolic lattices are a new type of synthetic materials based on regular tessellations in non-Euclidean spaces with constant negative curvature. While so far, there has been several theoretical investigations of hyperbolic topological media, experimental ...

2024

A structured prediction approach for robot imitation learning

Aude Billard, Iason Batzianoulis, Anqing Duan

We propose a structured prediction approach for robot imitation learning from demonstrations. Among various tools for robot imitation learning, supervised learning has been observed to have a prominent role. Structured prediction is a form of supervised le ...

London2023

Indentation and stability of woven domes

Pedro Miguel Nunes Pereira de Almeida Reis, Célestin Vallat, Tian Chen, Tomohiko Sano, Samuel Jean Bernard Poincloux

Discrete domes are doubly curved structures comprising a network of beam-like elements. We study the mechanics of discrete domes made of ribbons woven in a pentagonal triaxial pattern. Experiments and finite element simulations are performed to characteriz ...

ELSEVIER2023

In-situ atomic level observation of the strain response of graphene lattice

Klaus Kern, Jz -Yuan Juo

Strain is inevitable in two-dimensional (2D) materials, regardless of whether the film is suspended or supported. However, the direct measurement of strain response at the atomic scale is challenging due to the difficulties of maintaining both flexibility ...

NATURE PORTFOLIO2023

A geometric optimal control approach for imitation and generalization of manipulation skills

Sylvain Calinon, Amirreza Razmjoo Fard, Jie Zhao

Daily manipulation tasks are characterized by regular features associated with the task structure, which can be described by multiple geometric primitives related to actions and object shapes. Only using Cartesian coordinate systems cannot fully represent ...

ELSEVIER2023

Piecewise Affine Curvature model: a reduced-order model for soft robot-environment interaction beyond PCC

Josephine Anna Eleanor Hughes, Francesco Stella, Qinghua Guan

Soft robot are celebrated for their propensity to enable compliant and complex robot-environment interactions. Soft robotic manipulators, or slender continuum structure robots have the potential to exploit these interactions to enable new exploration and m ...

IEEE2023

An Accelerated First-Order Method for Non-convex Optimization on Manifolds

Nicolas Boumal, Christopher Arnold Criscitiello

We describe the first gradient methods on Riemannian manifolds to achieve accelerated rates in the non-convex case. Under Lipschitz assumptions on the Riemannian gradient and Hessian of the cost function, these methods find approximate first-order critical ...

SPRINGER2022

Continuation Methods For Riemannian Optimization

Daniel Kressner, Axel Elie Joseph Séguin

Numerical continuation in the context of optimization can be used to mitigate convergence issues due to a poor initial guess. In this work, we extend this idea to Riemannian optimization problems, that is, the minimization of a target function on a Riemann ...

SIAM PUBLICATIONS2022

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Curvature of Riemannian manifolds

Anomalous and Chern topological waves in hyperbolic networks

A structured prediction approach for robot imitation learning

Indentation and stability of woven domes

In-situ atomic level observation of the strain response of graphene lattice

A geometric optimal control approach for imitation and generalization of manipulation skills

RMAML: Riemannian meta-learning with orthogonality constraints

Piecewise Affine Curvature model: a reduced-order model for soft robot-environment interaction beyond PCC

An Accelerated First-Order Method for Non-convex Optimization on Manifolds

Continuation Methods For Riemannian Optimization

Finding stationary points on bounded-rank matrices: a geometric hurdle and a smooth remedy

Graph Chatbot

Chattez avec Graph Search

Continuation Methods For Riemannian Optimization

Anomalous and Chern topological waves in hyperbolic networks

In-situ atomic level observation of the strain response of graphene lattice

Indentation and stability of woven domes

An Accelerated First-Order Method for Non-convex Optimization on Manifolds

A structured prediction approach for robot imitation learning

A geometric optimal control approach for imitation and generalization of manipulation skills

RMAML: Riemannian meta-learning with orthogonality constraints

Piecewise Affine Curvature model: a reduced-order model for soft robot-environment interaction beyond PCC

Finding stationary points on bounded-rank matrices: a geometric hurdle and a smooth remedy