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Electronic Colloquium on Computational Complexity

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REPORTS > KEYWORD > APPROXIMATE BROUWER FIXED-POINTS:
Reports tagged with Approximate Brouwer fixed-points:
TR16-055 | 11th April 2016
Tim Roughgarden, Omri Weinstein

On the Communication Complexity of Approximate Fixed Points

We study the two-party communication complexity of finding an approximate Brouwer fixed point of a composition
of two Lipschitz functions $g\circ f : [0,1]^n \to [0,1]^n$, where Alice holds $f$ and Bob holds $g$. We prove an
exponential (in $n$) lower bound on the deterministic ... more >>>




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