14 citations · 15 across the 6 of their papers we have counts for
8 papers
Long Document Summarization in a Low Resource Setting using Pretrained Language Models
Ahsaas Bajaj, Pavitra Dangati, Kalpesh Krishna +7
Abstractive summarization is the task of compressing a long document into a coherent short document while retaining salient information. Modern abstractive summarization methods ar…
Quantitative null-cobordism
Gregory R. Chambers, Dominic Dotterrer, Fedor Manin +1
For a given null-cobordant Riemannian -manifold, how does the minimal geometric complexity of a null-cobordism depend on the geometric complexity of the manifold? In [Gro99], Gr…
2-complexes with large 2-girth
Dominic Dotterrer, Larry Guth, Matthew Kahle
The 2-girth of a 2-dimensional simplicial complex is the minimum size of a non-zero 2-cycle in . We consider the maximum possible girth of a complex with…
On Expansion and Topological Overlap
Dominic Dotterrer, Tali Kaufman, Uli Wagner
We give a detailed and easily accessible proof of Gromov's Topological Overlap Theorem. Let be a finite simplicial complex or, more generally, a finite polyhedral cell complex…
Higher dimensional distortion of random complexes
Dominic Dotterrer
Using the random complexes of Linial and Meshulam, we exhibit a large family of simplicial complexes for which, whenever affinely embedded into Euclidean space, the filling areas o…
The filling problem in the cube
Dominic Dotterrer
We prove an isoperimetric inequality for filling cellular cycles in a high dimensional cube with cellular chains. In addition, we provide a family of cubical cellular cycles for wh…