This paper identifies and examines the key principles underlying building a state-of-theart grammatical error correction system. We do this by analyzing the Illinois system that placed first among seventeen teams in the recent CoNLL-2013 shared task on grammatical error correction. The system focuses on five different types of errors common among non-native English writers. We describe four des...

Two known results in multiple testing, one relating to the directional error control of augmented step-down procedure proved by Shaffer (1980) and the other on the monotonicity of the critical values of step-up procedure proved by Dalal and Mallows (1992), are revisited and improved in this article. Shaffer’s result on the directional error control property of augmented step-down procedure with...

Analysis and Error Correction in Structures of Macromolecular Interiors and Interfaces

We show that there are good long binary generalized quasi-cyclic self-dual (either Type I or Type II) codes.

If the calculation of the critical length is based on the expurgated exponent, the length becomes nonzero for low error probabilities. This result applies to typical long codes, but it may also be useful for modeling error events in specific codes.

The decoding error probability of a code C measures the quality of performance when C is used for error correction in data transmission. In this note we compare different types of codes with regard to the decoding error probability.