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Electronic Colloquium on Computational Complexity

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TR22-146 | 9th November 2022
Klim Efremenko, Bernhard Haeupler, Gillat Kol, Nicolas Resch, Raghuvansh Saxena, Yael Tauman Kalai

Interactive Coding with Small Memory

In this work, we design an interactive coding scheme that converts any two party interactive protocol $\Pi$ into another interactive protocol $\Pi'$, such that even if errors are introduced during the execution of $\Pi'$, the parties are able to determine what the outcome of running $\Pi$ would be in an ... more >>>


TR22-145 | 4th November 2022
Alexander Golovnev, Siyao Guo, Spencer Peters, Noah Stephens-Davidowitz

Revisiting Time-Space Tradeoffs for Function Inversion

Revisions: 1

We study the black-box function inversion problem, which is the problem of finding $x \in [N]$ such that $f(x) = y$, given as input some challenge point $y$ in the image of a function $f : [N] \to [N]$, using $T$ oracle queries to $f$ and preprocessed advice $\sigma \in ... more >>>


TR22-144 | 7th November 2022
Raghuvansh Saxena, Noah Singer, Madhu Sudan, Santhoshini Velusamy

Streaming beyond sketching for Maximum Directed Cut

We give an $\widetilde{O}(\sqrt{n})$-space single-pass $0.483$-approximation streaming algorithm for estimating the maximum directed cut size (Max-DICUT) in a directed graph on $n$ vertices. This improves over an $O(\log n)$-space $4/9 < 0.45$ approximation algorithm due to Chou, Golovnev, Velusamy (FOCS 2020), which was known to be optimal for $o(\sqrt{n})$-space algorithms.

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