Generating numerical approximations
Abstract
We describe a computational model for planning phrases like 'more than a quarter' and '25.9 per cent' which describeproportions at different levels of precision. The model lays out the key choices in planning a numerical description, using formal definitions of mathematical form (e.g., the distinction between fractions and percentages) and roundness adapted from earlier studies. The task is modelled as a constraint satisfaction problem, with solutions subsequently ranked by preferences (e.g., for roundness). Detailed constraints are based on a corpus of
numerical expressions collected in the NumGen project, and evaluated through empirical studies in which subjects were asked to produce (or complete) numerical expressions in specified contexts.