Robust estimation is much more challenging in high dimensions than it is in one dimension: Most techniques either lead to intractable optimization problems or estimators that can tolerate only a tiny fraction of errors. Recent work in theoretical computer science has shown that, in appropriate distributional models, it is possible to robustly estimate the mean and covariance with polynomial tim...

We provide a new definition for the concept of skew in parallel asynchronous communications introduced in [2]. The new definition extends and strengthens previously known results on skew. We give necessary and sufficient conditions for codes that can tolerate a certain amount of skew under the new definition. We also extend the results to codes that can tolerate a certain amount of skew and det...

In the past, patients with uniocular cataracts who underwent cataract extraction were not able to tolerate aphakic spectacles due to 30% magnification of visual images thus giving rise to diplopia. The other alternative was to use contact lens which needed motivation. Some could not tolerate contact lens and its magnification of 5% to 7%. These failures eventually led to the idea of intraocular...

Addition of metal salts to a diiridium macrocyclic complex leads the spontaneous formation supramolecular particles that react preferentially with small substrates and can tolerate glutathione additives.

In this paper we study the ability of array-based networks to tolerate worst-case faults. We show that an N × N two-dimensional array can sustain N1− worst-case faults, for any fixed > 0, and still emulate T steps of a fully functioning N × N array in O(T + N) steps, i.e., with only constant slowdown. Previously, it was known only that an array could tolerate a constant number of faults with co...