Publications related to The cost of omnidirectionality: extracting and labelling the echoes

Geometric Learning: Leveraging differential geometry for learning and control

In this thesis, we concentrate on advancing high-level behavioral control policies for robotic systems within the framework of Dynamical Systems (DS). Throughout the course of this research, a unifying thread weaving through diverse fields emerges, and tha ...

EPFL2024

Complex Representation Learning with Graph Convolutional Networks for Knowledge Graph Alignment

Thanh Trung Huynh, Quoc Viet Hung Nguyen, Thành Tâm Nguyên

The task of discovering equivalent entities in knowledge graphs (KGs), so-called KG entity alignment, has drawn much attention to overcome the incompleteness problem of KGs. The majority of existing techniques learns the pointwise representations of entiti ...

London2023

Material removing tool and method for designing the same

Jean-François Molinari, Son-Jonathan Pham-Ba

The invention relates to a material removing tool, such as an ice cream scoop, and method for designing the same. The material removing tool has a shape optimized to minimize the amount of work the user has to provide in order to form and remove a piece of ...

2022

Relative, local and global dimension in complex networks

Alexis Arnaudon

Dimension is a fundamental property of objects and the space in which they are embedded. Yet ideal notions of dimension, as in Euclidean spaces, do not always translate to physical spaces, which can be constrained by boundaries and distorted by inhomogenei ...

NATURE PORTFOLIO2022

A dependence of the cost of fast controls for the heat equation on the support of initial datum

Hoài-Minh Nguyên

The controllability cost for the heat equation as the control time

T

goes to 0 is well-known of the order

e^{C/T}

for some positive constant

C

, depending on the controlled domain and for all initial datum. In this paper, we prove that the constant $C ...

2021

Plunge pool rehabilitation with prismatic concrete elements - case study and physical model of Ilarion dam in Greece

Romain Nathan Hippolyte Merlin Van Mol

The 130 m high Ilarion Dam is built on the Aliakmon River in northern Greece. The dam has two spillways with ski jumps at their ends and a plunge pool to cushion the impact of the jets. This pool has suered signicant scouring during several oods in recent ...

2021

The compass in the eye: The "geometric mechanics" of Viviani at the bedside of the Brunelleschi dome

Simon François Dumas Primbault

During the 17th century, being an engineer at the Medici Court was a discipline at the intersection of mathematics, and the pictorial and mechanical arts. Born out of the heritage of Alberti, Vinci, and Vasari, the Accademia del disegno - founded on the th ...

ARMAND COLIN2020

UCLID-Net: Single View Reconstruction in Object Space

Pascal Fua, Benoît Alain René Guillard, Edoardo Remelli

Most state-of-the-art deep geometric learning single-view reconstruction approaches rely on encoder-decoder architectures that output either shape parametrizations or implicit representations. However, these representations rarely preserve the Euclidean st ...

2020

Better Guarantees for k-Means and Euclidean k-Median by Primal-Dual Algorithms

Ola Nils Anders Svensson, Ashkan Norouzi Fard, Justin Dean Ward

Clustering is a classic topic in optimization with k-means being one of the most fundamental such problems. In the absence of any restrictions on the input, the best-known algorithm for k-means in Euclidean space with a provable guarantee is a simple local ...

SIAM PUBLICATIONS2020

Coordinate Difference Matrices

Martin Vetterli, Gilles Baechler, Miranda Krekovic, Golnooshsadat Elhami

In many problems such as phase retrieval, molecular biology, source localization, and sensor array calibration, one can measure vector differences between pairs of points and attempt to recover the position of these points; this class of problems is called ...

SIAM PUBLICATIONS2020

The cost of omnidirectionality: extracting and labelling the echoes

Graph Chatbot

Chat with Graph Search

Geometric Learning: Leveraging differential geometry for learning and control

Complex Representation Learning with Graph Convolutional Networks for Knowledge Graph Alignment

Material removing tool and method for designing the same

Relative, local and global dimension in complex networks

A dependence of the cost of fast controls for the heat equation on the support of initial datum

Plunge pool rehabilitation with prismatic concrete elements - case study and physical model of Ilarion dam in Greece

The compass in the eye: The "geometric mechanics" of Viviani at the bedside of the Brunelleschi dome

UCLID-Net: Single View Reconstruction in Object Space

Better Guarantees for k-Means and Euclidean k-Median by Primal-Dual Algorithms

Coordinate Difference Matrices

Geometric Learning: Leveraging differential geometry for learning and control

Complex Representation Learning with Graph Convolutional Networks for Knowledge Graph Alignment

A dependence of the cost of fast controls for the heat equation on the support of initial datum

Material removing tool and method for designing the same

UCLID-Net: Single View Reconstruction in Object Space

Relative, local and global dimension in complex networks

Better Guarantees for k-Means and Euclidean k-Median by Primal-Dual Algorithms

Plunge pool rehabilitation with prismatic concrete elements - case study and physical model of Ilarion dam in Greece

Coordinate Difference Matrices

The compass in the eye: The "geometric mechanics" of Viviani at the bedside of the Brunelleschi dome