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Electronic Colloquium on Computational Complexity

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All reports by Author Roee David:

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 >>>

TR14-002 | 8th January 2014
Roee David, Irit Dinur, Elazar Goldenberg, Guy Kindler, Igor Shinkar

Direct Sum Testing

Revisions: 1

For a string $a \in \{0,1\}^n$ its $k$-fold direct sum encoding is a function $f_a$ that takes as input sets $S \subseteq [n]$ of
size $k$ and outputs $f_a(S) = \sum_{i \in S} a_i$.
In this paper we are interested in the Direct Sum Testing Problem,
where we are given ... more >>>

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