Search Results for author: Madhu Sudan

Found 5 papers, 1 papers with code

Errors are Robustly Tamed in Cumulative Knowledge Processes

no code implementations11 Sep 2023 Anna Brandenberger, Cassandra Marcussen, Elchanan Mossel, Madhu Sudan

We study processes of societal knowledge accumulation, where the validity of a new unit of knowledge depends both on the correctness of its derivation and on the validity of the units it depends on.

Approximability of all Boolean CSPs with linear sketches

no code implementations24 Feb 2021 Chi-Ning Chou, Alexander Golovnev, Madhu Sudan, Santhoshini Velusamy

In this work we consider the approximability of $\textsf{Max-CSP}(f)$ in the context of sketching algorithms and completely characterize the approximability of all Boolean CSPs.

Computational Complexity Data Structures and Algorithms

Point-hyperplane incidence geometry and the log-rank conjecture

no code implementations23 Jan 2021 Noah Singer, Madhu Sudan

Finally, we discuss various constructions (due to others) which yield configurations with incidence density $\Omega(1)$ and bipartite subgraph density $2^{-\Omega(\sqrt d)}$.

Combinatorics Computational Complexity

The Optimality of Correlated Sampling

1 code implementation4 Dec 2016 Mohammad Bavarian, Badih Ghazi, Elad Haramaty, Pritish Kamath, Ronald L. Rivest, Madhu Sudan

In this note, we give a surprisingly simple proof that this protocol is in fact tight.

Computational Complexity Information Theory Information Theory

Performance of the Survey Propagation-guided decimation algorithm for the random NAE-K-SAT problem

no code implementations1 Feb 2014 David Gamarnik, Madhu Sudan

We show that the Survey Propagation-guided decimation algorithm fails to find satisfying assignments on random instances of the "Not-All-Equal-$K$-SAT" problem if the number of message passing iterations is bounded by a constant independent of the size of the instance and the clause-to-variable ratio is above $(1+o_K(1)){2^{K-1}\over K}\log^2 K$ for sufficiently large $K$.

Clustering

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