1. Lie groups, homomorphisms and linear representations. Irreducible representations. 2. Maximal tori in compact Lie groups. 3. Characters of representations. Ring of virtual characters. The Weyl theorem. 4. Actions of Lie groups. Homogeneous spaces (orbits) and equivariant maps. 5. Classifying spaces of topological groups and maps induced by homomorphisms. 6. Homotopy classification of maps be...

This paper presents a recognition-based character segmentation method for handwritten Chinese characters. Possible non-linear segmentation paths are initially located using a probabilistic Viterbi algorithm. Candidate segmentation paths are determined by verifying overlapping paths, between-character gaps, and adjacent-path distances. A segmentation graph is then constructed using candidate pat...

This short report describes the participation of the Università della Svizzera italiana (USI) at the SMERP Workshop Data Challenge Track for the task text summarization of Level 1. Our participation is based on a linear interpolation for combining relevance and novelty scores of the retrieved tweets. Our method is fully automatic. For the relevance score we used the results from our runs at the...

The detection and correction of erroneous Chinese characters is an important problem in many applications. This paper proposed an automatic method for correcting erroneous Chinese characters. The method is divided into two parts, which separately handle two types of erroneous character: the occurrence of an erroneous character in a word length of one, and the occurrence in a word length of two ...