Benjamin Weitz

Learn More
Matrix Completion is the problem of recovering an unknown real-valued low-rank matrix from a subsample of its entries. Important recent results show that the problem can be solved efficiently under the assumption that the unknown matrix is incoherent and the subsample is drawn uniformly at random. Are these assumptions necessary? It is well known that(More)
Yannakakis [1991, 1988] showed that the matching problem does not have a small symmetric linear program. Rothvoß [2014] recently proved that any, not necessarily symmetric, linear program also has exponential size. In light of this, it is natural to ask whether the matching problem can be expressed compactly in a framework such as semidefinite programming(More)
We describe how paperXML, a logical document structure markup for scholarly articles, is generated on the basis of OCR tool outputs. PaperXML has been initially developed for the ACL Anthology Searchbench. The main purpose was to robustly provide uniform access to sentences in ACL Anthology papers from the past 46 years, ranging from scanned,(More)
We give constructions of n k × n k × n tensors of rank at least 2n k − O(n k−1). As a corollary we obtain an [n] r shaped tensor with rank at least 2n ⌊r/2⌋ − O(n ⌊r/2⌋−1) when r is odd. The tensors are constructed from a simple recursive pattern, and the lower bounds are proven using a partitioning theorem developed by Brockett and Dobkin. These two bounds(More)
We introduce an offline dynamic Steiner network problem in which a directed graph, as well as changes to its vertices and edges over a set of discrete times, are given as input; the goal is to find a minimal sub-graph satisfying a set of k time-sensitive connectivity demands. This problem is motivated by our work in computational biology, and naturally(More)