Publications related to Improved stability of optimal traffic paths

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

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

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

Johann Sebastian Bach – The Chorales

Martin Alois Rohrmeier, Johannes Hentschel

This is a README file for a data repository originating from the DCML corpus initiative and serves as welcome page for both the GitHub repo

Zenodo2023

Localization errors of the stochastic heat equation

David Jean-Michel Candil

In this thesis, we study the stochastic heat equation (SHE) on bounded domains and on the whole Euclidean space

\R^d.

We confirm the intuition that as the bounded domain increases to the whole space, both solutions become arbitrarily close to one another ...

EPFL2022

Semi-discrete optimal transport: a solution procedure for the unsquared Euclidean distance case

Valentin Hartmann

We consider the problem of finding an optimal transport plan between an absolutely continuous measure and a finitely supported measure of the same total mass when the transport cost is the unsquared Euclidean distance. We may think of this problem as close ...

SPRINGER HEIDELBERG2020

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

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

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

Gaussian Multiplicative Chaos Through the Lens of the 2D Gaussian Free Field

Juhan Aru

The aim of this review-style paper is to provide a concise, self-contained and unified presentation of the construction and main properties of Gaussian multiplicative chaos (GMC) measures for log-correlated fields in 2D in the subcritical regime. By consid ...

POLYMAT2020

Improved stability of optimal traffic paths

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Geometric Learning: Leveraging differential geometry for learning and control

Anomalous and Chern topological waves in hyperbolic networks

Complex Representation Learning with Graph Convolutional Networks for Knowledge Graph Alignment

Johann Sebastian Bach – The Chorales

Localization errors of the stochastic heat equation

Semi-discrete optimal transport: a solution procedure for the unsquared Euclidean distance case

UCLID-Net: Single View Reconstruction in Object Space

Coordinate Difference Matrices

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

Gaussian Multiplicative Chaos Through the Lens of the 2D Gaussian Free Field

Complex Representation Learning with Graph Convolutional Networks for Knowledge Graph Alignment

UCLID-Net: Single View Reconstruction in Object Space

Johann Sebastian Bach – The Chorales

Anomalous and Chern topological waves in hyperbolic networks

Localization errors of the stochastic heat equation

Gaussian Multiplicative Chaos Through the Lens of the 2D Gaussian Free Field

Geometric Learning: Leveraging differential geometry for learning and control

Semi-discrete optimal transport: a solution procedure for the unsquared Euclidean distance case

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

Coordinate Difference Matrices