A conjecture of Bandelt and Dress states that the maximum quartet distance between any two phylogenetic trees on n leaves is at most (2 3 + o(1)) n 4 . Using the machinery of fla...
We explore clustering problems in the streaming sliding window model in both general metric spaces and Euclidean space. We present the first polylogarithmic space O(1)-approximat...
Vladimir Braverman, Harry Lang, Keith Levin, Morte...
A matrix A ∈ Cq×N satisfies the restricted isometry property of order k with constant ε if it preserves the 2 norm of all k-sparse vectors up to a factor of 1 ± ε. We prove...
We consider the problem of implementing distributed protocols, despite adversarial channel errors, on synchronous-messaging networks with arbitrary topology. In our first result ...
We study efficient, deterministic interactive coding schemes that simulate any interactive protocol both under random and adversarial errors, and can achieve a constant communicat...
Ran Gelles, Bernhard Haeupler, Gillat Kol, Noga Ro...
Set cover, over a universe of size n, may be modelled as a data-streaming problem, where the m sets that comprise the instance are to be read one by one. A semi-streaming algorith...
We report on a novel technique called spatial coupling and its application in the analysis of random constraint satisfaction problems (CSP). Spatial coupling was invented as an en...
Dimitris Achlioptas, Seyed Hamed Hassani, Nicolas ...