Search Results for author: Venkatesan Guruswami

Found 5 papers, 0 papers with code

Hardness of Learning Boolean Functions from Label Proportions

no code implementations28 Mar 2024 Venkatesan Guruswami, Rishi Saket

This is in contrast with the work of (Saket, NeurIPS'21) which gave a $(2/5)$-approximation for learning ORs using a halfspace.

PAC learning

Outlier Robust Multivariate Polynomial Regression

no code implementations14 Mar 2024 Vipul Arora, Arnab Bhattacharyya, Mathews Boban, Venkatesan Guruswami, Esty Kelman

Furthermore, we show that it is possible to have the run-time be independent of $1/\sigma$, at the cost of a higher sample complexity.

regression

Conditional Dichotomy of Boolean Ordered Promise CSPs

no code implementations23 Feb 2021 Joshua Brakensiek, Venkatesan Guruswami, Sai Sandeep

Assuming the Rich 2-to-1 Conjecture, we prove that a Boolean Ordered PCSP can be solved in polynomial time if for every $\epsilon>0$, it has polymorphisms where each coordinate has Shapley value at most $\epsilon$, else it is NP-hard.

Computational Complexity Logic in Computer Science

Improved Maximally Recoverable LRCs using Skew Polynomials

no code implementations14 Dec 2020 Sivakanth Gopi, Venkatesan Guruswami

Such an LRC is Maximally Recoverable (MR), if it offers the best blend of locality and global erasure resilience -- namely it can correct all erasure patterns whose recovery is information-theoretically feasible given the locality structure (these are precisely patterns with up to `$a$' erasures in each local group and an additional $h$ erasures anywhere in the codeword).

Information Theory Computational Complexity Information Theory Rings and Algebras

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.

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