We consider the problem of provably finding a stationary point of a smooth function to be minimized on the variety of bounded-rank matrices. This turns out to be unexpectedly delicate. We trace the difficulty back to a geometric obstacle: On a nonsmooth se ...
This article explains how the Replica project is a particular case of different professionals coming together to achieve the digitization of a historical photographic archive, intersecting complementary knowledge specific to normally unconnected communitie ...
In this thesis, we investigate the inverse problem of trees and barcodes from a combinatorial, geometric, probabilistic and statistical point of view.Computing the persistent homology of a merge tree yields a barcode B. Reconstructing a tree from B invol ...
The application of digital technologies to historical newspapers has changed the research landscape historians were used to. An Eldorado? Despite undeniable advantages, the new digital affordance of historical newspapers also transforms research practices ...
The present invention relates to Use of a compound of the general formula (I), (II), (III), (IV), (V) or (VI) wherein R1 and R1', R21 and R21', R31 and R31' are the same and are hydrogen, a linear or branched C1 to C18 alkyl, a linear or branched C2 to C18 ...
DNA-based nanomaterials are gaining popularity as uniform and programmable bioengineering tools as a result of recent solutions to their weak stability under biological conditions. The DNA nanotechnology platform uniquely allows decoupling of engineering p ...
The Cremona group is the group of birational transformations of the complex projective plane. In this paper we classify its subgroups that consist only of elliptic elements using elementary model theory. This yields in particular a description of the struc ...
