Publications related to Geometrical Behaviours: An Architectural Mise-en-scène for a Reenactment of Lewis Carroll's Alice's Adventures in Wonderland

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

Towards 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

l_1

norm. We demonstrate that achieving robustness against

l_1

-bounded perturbations is more challenging than in the

l_2

...

2023

Entrepreneurial Opportunities and Threats in the Era of Grand Societal Challenges

Enrico Bergamini

We live in an era defined by attempts to grapple with an ever-expanding array of grand societal challenges (GCs). These challenges comprise transformational social and environmental issues, such as environmental degradation and global pandemics, and the cr ...

EPFL2023

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

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 Canvas for the Ethical Design of Learning Experiences with Digital Tools

Denis Gillet, Patrick Jermann, Roland John Tormey, Cécile Hardebolle, Adrian Christian Holzer, Pascal Felber

The use of digital tools has drastically increased in engineering education, accelerated by the COVID-19 pandemic. These tools generate important ethical issues, in particular in terms of privacy and fairness. However, very few teacher training programmes ...

2022

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

MATHICSE Technical Report: Volumetric Untrimming: Precise decomposition of trimmed trivariates into tensor products

Pablo Antolin Sanchez

3D objects, modeled using Computer Aided Geometric Design (CAGD) tools, are traditionally represented using a boundary representation (B-rep), and typically use spline functions to parameterize these boundary surfaces. However, recent development in physic ...

MATHICSE2019

Geometrical Behaviours: An Architectural Mise-en-scène for a Reenactment of Lewis Carroll's Alice's Adventures in Wonderland

Graph Chatbot

Chat with Graph Search

Geometric Learning: Leveraging differential geometry for learning and control

Towards Stable and Efficient Adversarial Training against $l_1$ Bounded Adversarial Attacks

Entrepreneurial Opportunities and Threats in the Era of Grand Societal Challenges

Complex Representation Learning with Graph Convolutional Networks for Knowledge Graph Alignment

Relative, local and global dimension in complex networks

A Canvas for the Ethical Design of Learning Experiences with Digital Tools

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

MATHICSE Technical Report: Volumetric Untrimming: Precise decomposition of trimmed trivariates into tensor products

MATHICSE Technical Report: Volumetric Untrimming: Precise decomposition of trimmed trivariates into tensor products

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

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

Relative, local and global dimension in complex networks

Complex Representation Learning with Graph Convolutional Networks for Knowledge Graph Alignment

Entrepreneurial Opportunities and Threats in the Era of Grand Societal Challenges

Towards Stable and Efficient Adversarial Training against $l_1$ Bounded Adversarial Attacks

Geometric Learning: Leveraging differential geometry for learning and control

A Canvas for the Ethical Design of Learning Experiences with Digital Tools

UCLID-Net: Single View Reconstruction in Object Space