Online Matrix Vector Multiplication Hypothesis (OMV Hypothesis)

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Target Problem

OMV

Description

Every (randomized) algorithm that can process a given $n \times n$ Boolean matrix $A$, and then in an online way can compute the products $Av_i$ for any $n$ vectors $v_1,\ldots,v_n$, must take total time $n^{3-o(1)}$.

Implies the following Hypothesis

Implied by the following Hypothesis

Computation Model

Word-Ram on $\log(n)$ bit words

Proven?

No

Year

References/Citation

http://people.csail.mit.edu/virgi/eccentri.pdf Hypothesis 9