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Concise $(\varepsilon,r)$-representations of a path

math.NA · 2026-07-28 · conditional · novelty 7.0

The optimal lossy signature representation of a path uses degree N* ~ sqrt(log(re^r/ε)/log d) and m* ~ r sqrt(log d/λ) exp(sqrt(λ log d)) intervals, with λ=log(re^r/ε).

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  • Concise $(\varepsilon,r)$-representations of a path math.NA · 2026-07-28 · conditional · none · ref 18

    The optimal lossy signature representation of a path uses degree N* ~ sqrt(log(re^r/ε)/log d) and m* ~ r sqrt(log d/λ) exp(sqrt(λ log d)) intervals, with λ=log(re^r/ε).