1 citations · 1 across the 6 of their papers we have counts for
8 papers
The Role of Input Dimensionality in the Emergence and Targeted Control of Adversarial Examples
Nasrin Malekzadeh Goradel, Niccolo Pancino, Yaser Gholizade Atani +3
Several theoretical works have tried to explain the adversarial vulnerability of deep neural networks through properties of high-dimensional geometry. However, the assumptions unde…
Concentration effects and -limit for the elastica functional for open and closed curves
Giovanni Bellettini, Virginia Lorenzini, Matteo Novaga +1
We study the -convergence of a class of elastica-type energies defined on immersed planar curves and depending on a small positive parameter . As , sequences with e…
-convergence of free discontinuity problems for circle-valued maps in the linear regime
Giovanni Bellettini, Roberta Marziani, Riccardo Scala
We investigate the -convergence of Ambrosio-Tortorelli type-functionals for circle valued functions, in the case of volume terms with linear growth. We show the emergence of a n…
A fourth-order regularization of the curvature flow of immersed plane curves with Dirichlet boundary conditions
Giovanni Bellettini, Virginia Lorenzini, Matteo Novaga +1
We consider a fourth-order regularization of the curvature flow for an immersed plane curve with fixed boundary, using an elastica-type functional depending on a small positive par…
Crystalline elastic flow of polygonal curves: long time behaviour and convergence to stationary solutions
Giovanni Bellettini, Shokhrukh Yu. Kholmatov, Matteo Novaga
Given a planar crystalline anisotropy, we study the crystalline elastic flow of immersed polygonal curves, possibly also unbounded. Assuming that the segments evolve by parallel tr…
A De Giorgi conjecture on the regularity of minimizers of Cartesian area in 1D
Giovanni Bellettini, Shokhrukh Yu. Kholmatov
We prove a -regularity of minimizers of the functional provided is a bounded open inte…
Minimizing movements for mean curvature flow of droplets with prescribed contact angle
Giovanni Bellettini, Shokhrukh Yusufovich Kholmatov
We study the mean curvature motion of a droplet flowing by mean curvature on a horizontal hyperplane with a possibly nonconstant prescribed contact angle. Using the minimizing move…
Compactness and convexity results for closed relativistic strings
G. Bellettini, J. Hoppe, M. Novaga +1
We study various properties of closed relativistic strings. In particular, we characterize their closure under uniform convergence, extending a previous result by Y. Brenier on gra…