Concept
Euclidean distance
Related publications (209)
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 ...
EPFL2024Anomalous 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 ...
2024Reach For the Arcs: Reconstructing Surfaces from SDFs via Tangent Points
We introduce an algorithm to reconstruct a mesh from discrete samples of a shape's Signed Distance Function (SDF). A simple geometric reinterpretation of the SDF lets us formulate the problem through a point cloud, from which a surface can be extracted wit ...
2024Some Mordell-Weil lattices and applications to sphere packings
We provide new explicit examples of lattice sphere packings in dimensions 54, 55, 162, 163, 486 and 487 that are the densest known so far, using Kummer families of elliptic curves over global function fields.In some cases, these families of elliptic curves ...
EPFL2024Migration distance from birthplace and its association with relative income and employment share among heterosexual couples in Switzerland
Vincent Kaufmann, Guillaume Simon Joseph Drevon, Alexis Gumy, Gil Viry, Florian Lucien Jacques Masse
Among heterosexual couples, employment of the female partner may suffer from household migration often driven by the job of the male partner. Most research has traditionally focused on the distance moved after couple formation and has neglected how far par ...
2024Complex 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 ...
London2023A 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 ...
London2023Near-Minimax Optimal Estimation With Shallow ReLU Neural Networks
We study the problem of estimating an unknown function from noisy data using shallow ReLU neural networks. The estimators we study minimize the sum of squared data-fitting errors plus a regularization term proportional to the squared Euclidean norm of the ...
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2023Towards Stable and Efficient Adversarial Training against $l_1$ Bounded Adversarial Attacks
Sabine Süsstrunk, Mathieu Salzmann, Yulun Jiang, Chen Liu, Zhuoyi Huang
We address the problem of stably and efficiently training a deep neural network robust to adversarial perturbations bounded by an norm. We demonstrate that achieving robustness against -bounded perturbations is more challenging than in the ...
2023Localizing Unsynchronized Sensors With Unknown Sources
Ivan Dokmanic, Dalia Salem Hassan Fahmy El Badawy
We propose a method for sensor array self-localization using a set of sources at unknown locations. The sources produce signals whose times of arrival are registered at the sensors. We look at the general case where neither the emission times of the source ...
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2023