Concept
Quasi-empiricism in mathematics
Related publications (6)
Privacy-Preserving Machine Learning on Graphs
Graph Neural Networks (GNNs) have emerged as a powerful tool for learning on graphs, demonstrating exceptional performance in various domains. However, as GNNs become increasingly popular, new challenges arise. One of the most pressing is the need to ensur ...
EPFL2023Wigner Formulation of Thermal Transport in Solids
Nicola Marzari, Michele Simoncelli
Two different heat-transport mechanisms are discussed in solids. In crystals, heat carriers propagate and scatter particlelike as described by Peierls's formulation of the Boltzmann transport equation for phonon wave packets. In glasses, instead, carriers ...
AMER PHYSICAL SOC2022Patch-based methods for variational image processing problems
Image Processing problems are notoriously difficult. To name a few of these difficulties, they are usually ill-posed, involve a huge number of unknowns (from one to several per pixel!), and images cannot be considered as the linear superposition of a few p ...
EPFL2013Vision-Based Scene Understanding with Sparsity Promoting Priors
Human beings are interested in understanding their environments and the dynamic content that fills their surroundings. For applications ranging from security to marketing, people have installed networks of cameras to capture the dynamic elements of scenes. ...
EPFL2011Engineering limit cycle systems
In this thesis, we present a dynamical systems approach to adaptive controllers for locomotion control. The approach is based on a rigorous mathematical framework using nonlinear dynamical systems and is inspired by theories of self-organization. Nonlinear ...
EPFL2007Object-oriented finite element programming
New technologies in computer science applied to numerical computations open the door to alternative approaches to mechanical problems using the finite element method. In classical approaches, theoretical developments often become cumbersome and the compute ...
EPFL1997