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Electronic Colloquium on Computational Complexity

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Reports tagged with compressibility:
TR03-065 | 19th June 2003
Wee, Hoeteck

Compressibility Lower Bounds in Oracle Settings

A source is compressible if we can efficiently compute short
descriptions of strings in the support and efficiently
recover the strings from the descriptions. In this paper, we
present a technique for proving lower bounds on
compressibility in an oracle setting, which yields the
following results:

- We ... more >>>

TR23-171 | 15th November 2023
Shuichi Hirahara, Rahul Ilango, Ryan Williams

Beating Brute Force for Compression Problems

A compression problem is defined with respect to an efficient encoding function $f$; given a string $x$, our task is to find the shortest $y$ such that $f(y) = x$. The obvious brute-force algorithm for solving this compression task on $n$-bit strings runs in time $O(2^{\ell} \cdot t(n))$, where $\ell$ ... more >>>

ISSN 1433-8092 | Imprint