Search Results for author: Mahdi Cheraghchi

Found 5 papers, 0 papers with code

Semi-Quantitative Group Testing for Efficient and Accurate qPCR Screening of Pathogens with a Wide Range of Loads

no code implementations31 Jul 2023 Ananthan Nambiar, Chao Pan, Vishal Rana, Mahdi Cheraghchi, João Ribeiro, Sergei Maslov, Olgica Milenkovic

Pathogenic infections pose a significant threat to global health, affecting millions of people every year and presenting substantial challenges to healthcare systems worldwide.

Mean-Based Trace Reconstruction over Oblivious Synchronization Channels

no code implementations18 Feb 2021 Mahdi Cheraghchi, Joseph Downs, João Ribeiro, Alexandra Veliche

It is known that $\exp(O(n^{1/3}))$ traces are necessary and sufficient for mean-based worst-case trace reconstruction over the deletion channel, and this result was also extended to certain channels combining deletions and geometric insertions of uniformly random bits.

Information Theory Information Theory Probability

AC-DC: Amplification Curve Diagnostics for Covid-19 Group Testing

no code implementations10 Nov 2020 Ryan Gabrys, Srilakshmi Pattabiraman, Vishal Rana, João Ribeiro, Mahdi Cheraghchi, Venkatesan Guruswami, Olgica Milenkovic

The first part of the paper presents a review of the gold-standard testing protocol for Covid-19, real-time, reverse transcriptase PCR, and its properties and associated measurement data such as amplification curves that can guide the development of appropriate and accurate adaptive group testing protocols.

Nearly Optimal Deterministic Algorithm for Sparse Walsh-Hadamard Transform

no code implementations28 Apr 2015 Mahdi Cheraghchi, Piotr Indyk

Moreover, we design a deterministic and non-adaptive $\ell_1/\ell_1$ compressed sensing scheme based on general lossless condensers that is equipped with a fast reconstruction algorithm running in time $k^{1+\alpha} (\log N)^{O(1)}$ (for the GUV-based condenser) and is of independent interest.

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