Title
Analysis of nutrition data by means of a matrix factorization method.
Abstract
We present a factorization framework to analyze the data of a regression learning task with two peculiarities. First, inputs can be split into two parts that represent semantically significant entities. Second, the performance of regressors is very low. The basic idea of the approach presented here is to try to learn the ordering relations of the target variable instead of its exact value. Each part of the input is mapped into a common Euclidean space in such a way that the distance in the common space is the representation of the interaction of both parts of the input. The factorization approach obtains reliable models from which it is possible to compute a ranking of the features according to their responsibility in the variation of the target variable. Additionally, the Euclidean representation of data provides a visualization where metric properties have a clear semantics. We illustrate the approach with a case study: the analysis of a dataset about the variations of Body Mass Index for Age of children after a Food Aid Program deployed in poor rural communities in Southern México. In this case, the two parts of inputs are the vectorial representation of children and their diets. In addition to discovering latent information, the mapping of inputs allows us to visualize children and diets in a common metric space.
Year
DOI
Venue
2015
10.1007/s13748-015-0062-0
Progress in AI
Keywords
Field
DocType
Matrix factorization, Learning to rank, Feature selection, Data analysis, Nutrition data, Body mass index (BMI)
Data mining,Learning to rank,Feature selection,Computer science,Theoretical computer science,Artificial intelligence,Ranking,Visualization,Matrix decomposition,Euclidean space,Factorization,Metric space,Machine learning
Journal
Volume
Issue
ISSN
3
3-4
2192-6360
Citations 
PageRank 
References 
0
0.34
17
Authors
6
Name
Order
Citations
PageRank
Jorge Díez125020.46
Edna Gamboa200.34
Teresita González de Cossío300.34
Oscar Luaces428124.59
Thorsten Joachims5173871254.06
Antonio Bahamonde633531.96