Concept
Dualité (géométrie projective)
Publications associées (33)
HYPERBOLA METHOD ON TORIC VARIETIES
We develop a very general version of the hyperbola method which extends the known method by Blomer and Brudern for products of projective spaces to complete smooth split toric varieties. We use it to count Campana points of bounded log-anticanonical height ...
Palaiseau2024Incorporating Projective Geometry into Deep Learning
In this thesis we explore the applications of projective geometry, a mathematical theory of the relation between 3D scenes and their 2D images, in modern learning-based computer vision systems. This is an interesting research question which contradicts the ...
EPFL2024A smooth compactification of the space of genus two curves in projective space: via logarithmic geometry and Gorenstein curves
We construct a modular desingularisation of (M) over bar (2,n)(P-r, d)(main). The geometry of Gorenstein singularities of genus two leads us to consider maps from prestable admissible covers; with this enhanced logarithmic structure, it is possible to desi ...
GEOMETRY & TOPOLOGY PUBLICATIONS2023The cohomology of semi-simple Lie groups, viewed from infinity
We prove that the real cohomology of semi-simple Lie groups admits boundary values, which are measurable cocycles on the Furstenberg boundary. This generalises known invariants such as the Maslov index on Shilov boundaries, the Euler class on projective sp ...
2022A geographical study of (M)over-bar(2)(P-2, 4)(main)
We discuss criteria for a stable map of genus two and degree 4 to the projective plane to be smoothable, as an application of our modular desingularisation of (M) over bar (2,n)(P-r, d)(main) via logarithmic geometry and Gorenstein singularities. ...
WALTER DE GRUYTER GMBH2022Dual Approach for Two-Stage Robust Nonlinear Optimization
Adjustable robust minimization problems where the objective or constraints depend in a convex way on the adjustable variables are generally difficult to solve. In this paper, we reformulate the original adjustable robust nonlinear problem with a polyhedral ...
INFORMS2022Preserving Self-Duality During Logic Synthesis for Emerging Reconfigurable Nanotechnologies
Giovanni De Micheli, Heinz Riener, Shubham Rai, Akash Kumar
Emerging reconfigurable nanotechnologies allow the implementation of self-dual functions with a fewer number of transistors as compared to traditional CMOS technologies. To achieve better area results for Reconfigurable Field-Effect Transistors (RFET)-base ...
2021Graph-based image representation learning
Though deep learning (DL) algorithms are very powerful for image processing tasks, they generally require a lot of data to reach their full potential. Furthermore, there is no straightforward way to impose various properties, given by the prior knowledge a ...
EPFL2019Material Parameter Extraction for Complex AlScN Thin Film Using Dual Mode Resonators in Combination with Advanced Microstructural Analysis and Finite Element Modeling
Paul Muralt, Silviu Cosmin Sandu, Mohammad Fazel Parsapour Kolour, Vladimir Pashchenko, Kaoru Yamashita
Accurate property determination of the piezoelectric thin film material Al(1-x)Sc(x)N is necessary for designing the next generation of radio frequency resonators in mobile communication, and for testing results of ab initio calculations. Sound velocity an ...
WILEY2019For Their Own Good and For the Good of Others: Identity Duality in New Venture Evaluation and Investor Decision-Making
Organizing is a managerial process which demands a sense of purpose. When stories about "who we are" and "what we do" are salient and coherent (Voss, Cable & Voss, 2006), organizations can better plan, explain and justify collective action (Whetten & Macke ...
EPFL2018