11. Question modules

IBM’s Statistical Question Answering System – TREC-11

In this paper, we document our efforts to extend our statistical question answering system for TREC-11. We incorporated a web search feature, and novel extensions of statistical machine translation as well as extracting lexical patterns for exact answers from a supervised corpus. Without modification to our base set of thirty-one categories, we were able to achieve a confidence weighted score o...

A question of evil: September 11, 2001.

On a Question of Arveson about Ranks of Hilbert modules

It’s well known that the functional Hilbert space H2 over the unit ball Bd ⊂ C , with kernel function K(z, ω) = 1 1−z1ω1−···−zdωd , admits a natural A(Bd)-module structure. We show the rank of a nonzero submodule M ⊂ H2 is infinity if and only if M is of infinite codimension. Together with Arveson’s dilation theory, our result shows that Hilbert modules stand in stark contrast with Hilbert basi...

Functional Modules of a Semi-automatic Question Generating System

In the last decade different applications of computer science (data mining, text mining) have been recognised. Presently an automatic question generation is a current research area. The elaborated system generates multi-choice questions from textbooks without using an external semantic database. Main demands made for the implemented automatic question generation system: supporting the Hungarian...

Mazur ’ s question on mod 11 representations of elliptic curves ∗

The main idea of the proof of this Theorem is to study the geometry (and arithmetic) of the modular diagonal quotient surfaces ZN,1 (as introduced in [9]) in the special case N = 11. Now the algebraic surface Z = ZN,1 has a natural model as a variety over Q (cf. §3), and an open subvariety of this turns out to be the coarse moduli space of the moduli functor ZN,1 which classifies isomorphism cl...