All reports by Author Manuel Sabin:

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TR18-092
| 4th May 2018
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Marco Carmosino, Russell Impagliazzo, Manuel Sabin#### Fine-Grained Derandomization: From Problem-Centric to Resource-Centric Complexity

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TR18-085
| 26th April 2018
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Andrej Bogdanov, Manuel Sabin, Prashant Nalini Vasudevan#### XOR Codes and Sparse Random Linear Equations with Noise

Marco Carmosino, Russell Impagliazzo, Manuel Sabin

We show that popular hardness conjectures about problems from the field of fine-grained complexity theory imply structural results for resource-based complexity classes. Namely, we show that if either k-Orthogonal Vectors or k-CLIQUE requires $n^{\epsilon k}$ time, for some constant $\epsilon > 1/2$, to count (note that these conjectures are significantly ... more >>>

Andrej Bogdanov, Manuel Sabin, Prashant Nalini Vasudevan

A $k$-LIN instance is a system of $m$ equations over $n$ variables of the form $s_{i[1]} + \dots + s_{i[k]} =$ 0 or 1 modulo 2 (each involving $k$ variables). We consider two distributions on instances in which the variables are chosen independently and uniformly but the right-hand sides are ... more >>>