We consider hypergraphs as a tool to compactly represent the result of the n-best parse trees, obtained by Bi-Dimensional Probabilistic Context-Free Grammars, for an input image that represents a mathematical expression. More specifically, in this paper we propose: an algorithm to compute the N-best parse trees from a 2D-PCFGs; an algorithm to represent the n-best parse trees using a compact representation in the form of hypergraphs; and a formal framework for the development of inference algorithms (inside and outside) and normalization strategies of hypergraphs.

Knowing the weather and atmospheric conditions from the past can help weather researchers to generate models like the ones used to predict how weather conditions are likely to change as global temperatures continue to rise. Many historical weather records are available from the past registered on a systemic basis. Historical weather logs were registered in ships, when they were on the high seas, recording daily weather conditions such as: wind speed, temperature, coordinates, etc. These historical documents represent an important source of knowledge with valuable information to extract climatic information of several centuries ago. Such information is usually collected by experts that devote a lot of time. This paper presents a new database, compiled from a ship log mainly composed by handwritten tables that contain mainly numerical information, to support research in automatic handwriting recognition and information extraction. In addition, a study is presented about the capability of state-of-the-art handwritten text recognition systems and information extraction techniques, when applied to the presented database. Baseline results are reported for reference in future studies.