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Electronic Colloquium on Computational Complexity

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All reports by Author Robert Krauthgamer :

TR15-128 | 10th August 2015
Roee David, Elazar Goldenberg, Robert Krauthgamer

Local Reconstruction of Low-Rank Matrices and Subspaces

Revisions: 2

We study the problem of \emph{reconstructing a low-rank matrix}, where the input is an $n\times m$ matrix $M$ over a field $\mathbb{F}$ and the goal is to reconstruct a (near-optimal) matrix $M'$ that is low-rank and close to $M$ under some distance function $\Delta$.
Furthermore, the reconstruction must be local, ... more >>>

TR07-048 | 3rd April 2007
Alexandr Andoni, Piotr Indyk, Robert Krauthgamer

Earth Mover Distance over High-Dimensional Spaces

The Earth Mover Distance (EMD) between two equal-size sets
of points in R^d is defined to be the minimum cost of a
bipartite matching between the two pointsets. It is a natural metric
for comparing sets of features, and as such, it has received
significant interest in computer vision. Motivated ... more >>>

TR03-035 | 21st May 2003
Eran Halperin, Guy Kortsarz, Robert Krauthgamer

Tight lower bounds for the asymmetric k-center problem

In the {\sc $k$-center} problem, the input is a bound $k$
and $n$ points with the distance between every two of them,
such that the distances obey the triangle inequality.
The goal is to choose a set of $k$ points to serve as centers,
so that the maximum distance ... more >>>

ISSN 1433-8092 | Imprint