3 citations · 7 across the 9 of their papers we have counts for
11 papers
Infinitesimal Dilogarithm Satisfies Cluster Identities
Sinan Unver
In this paper, we show that the infinitesimal dilogarithm and Kontsevich's one-and-a-half logarithm function satisfies the identities which result from periods in cluster patterns.…
PI-Att: Topology Attention for Segmentation Networks through Adaptive Persistence Image Representation
Mehmet Bahadir Erden, Sinan Unver, Ilke Ali Gurses +2
Segmenting multiple objects (e.g., organs) in medical images often requires an understanding of their topology, which simultaneously quantifies the shape of the objects and their p…
Topology-Aware Loss for Aorta and Great Vessel Segmentation in Computed Tomography Images
Seher Ozcelik, Sinan Unver, Ilke Ali Gurses +2
Segmentation networks are not explicitly imposed to learn global invariants of an image, such as the shape of an object and the geometry between multiple objects, when they are tra…
The Chow-Kontsevich dilogarithm
Sinan Ünver
Based on a variant of the Kontsevich -logarithm function, we construct a regulator in characteristic This also leads to an infinitesimal invariant of certain cyc…
A survey of the additive dilogarithm
Sinan Unver
Borel's construction of the regulator gives an injective map from the algebraic -groups of a number field to its Deligne-Beilinson cohomology groups. This has many interesting a…
Infinitesimal Chow Dilogarithm
Sinan Unver
Let be a smooth and projective curve over the ring of dual numbers of a field Given non-zero rational functions and on we define an invariant $ρ(f\…