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11/07/2022
Approximate Trace Reconstruction from a Single Trace
The well-known trace reconstruction problem is the problem of inferring ...
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07/24/2021
Near-Optimal Average-Case Approximate Trace Reconstruction from Few Traces
In the standard trace reconstruction problem, the goal is to exactly rec...
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07/22/2021
Fourier growth of structured 𝔽_2-polynomials and applications
We analyze the Fourier growth, i.e. the L_1 Fourier weight at level k (d...
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12/04/2020
Polynomial-time trace reconstruction in the low deletion rate regime
In the trace reconstruction problem, an unknown source string x ∈{0,1}^n...
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08/27/2020
Polynomial-time trace reconstruction in the smoothed complexity model
In the trace reconstruction problem, an unknown source string x ∈{0,1}^n...
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08/04/2020
Fractional Pseudorandom Generators from Any Fourier Level
We prove new results on the polarizing random walk framework introduced ...
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02/06/2019