TY - JOUR
T1 - Representation of functions on big data associated with directed graphs
AU - CHUI, Charles Kam-Tai
AU - Mhaskar, H. N.
AU - Zhuang, Xiaosheng
N1 - Funding Information:
The research of this author is supported in part by the Research Grants Council of Hong Kong (Project No. CityU 11304414) and City University of Hong Kong (Project No.: 7200462 and 7004445).
PY - 2018/1
Y1 - 2018/1
N2 - This paper is an extension of the previous work of Chui et al. (2015) [4], not only from numeric data to include non-numeric data as in that paper, but also from undirected graphs to directed graphs (called digraphs, for simplicity). Besides theoretical development, this paper introduces effective mathematical tools in terms of certain data-dependent orthogonal systems for function representation and analysis directly on the digraphs. In addition, this paper also includes algorithmic development and discussion of various experimental results on such data-sets as CORA, Proposition, and Wiki-votes.
AB - This paper is an extension of the previous work of Chui et al. (2015) [4], not only from numeric data to include non-numeric data as in that paper, but also from undirected graphs to directed graphs (called digraphs, for simplicity). Besides theoretical development, this paper introduces effective mathematical tools in terms of certain data-dependent orthogonal systems for function representation and analysis directly on the digraphs. In addition, this paper also includes algorithmic development and discussion of various experimental results on such data-sets as CORA, Proposition, and Wiki-votes.
UR - http://www.scopus.com/inward/record.url?scp=85012914184&partnerID=8YFLogxK
U2 - 10.1016/j.acha.2016.12.005
DO - 10.1016/j.acha.2016.12.005
M3 - Letter
AN - SCOPUS:85012914184
SN - 1063-5203
VL - 44
SP - 165
EP - 188
JO - Applied and Computational Harmonic Analysis
JF - Applied and Computational Harmonic Analysis
IS - 1
ER -