@Article{VeroneseRosaVijaBolz:2009:GeNuLa,
               author = "Veronese, Thalita B. and Rosa, Reinaldo Roberto and Vijaykumar, 
                         Nandamudi Lankalapali and Bolzan, Maur{\'{\i}}cio J. A.",
          affiliation = "{Instituto Nacional de Pesquisas Espaciais (INPE)} and {Instituto 
                         Nacional de Pesquisas Espaciais (INPE)} and {Instituto Nacional de 
                         Pesquisas Espaciais (INPE)} and {Universidade do Vale do 
                         Para{\'{\i}}ba}",
                title = "Generalized numerical lattices for time series representation in 
                         complex data systems",
              journal = "Journal of Computational Interdisciplinary Sciences",
                 year = "2009",
               volume = "1",
               number = "2",
                pages = "175--184",
                month = "June",
             keywords = "multivariate time series, complex data systems, data 
                         representation, data integration, data modeling, data mining, 
                         systemic analysis.",
             abstract = "Analysis of information from multiple data sources obtained 
                         through high resolution instrumental measurements has become a 
                         fundamental task in all scientific areas. The development of 
                         expert methods able to treat such multi-source data systems, with 
                         both large variability and measurement extension, is a key for 
                         studying complex scientific phenomena, especially those related to 
                         systemic analysis in space and environmental sciences. In this 
                         paper, we propose a time series generalization introducing the 
                         concept of generalized numerical lattice, which represents a 
                         discrete sequence of temporal measures for a given variable. In 
                         this novel representation approach each generalized numerical 
                         lattice brings post-analytical data information. We define a 
                         generalized numerical lattice as a set of three coefficients, 
                         representing the following data properties: dimensionality, size 
                         and post-analytical parameters, respectively. From this 
                         generalization, any multi-source database can be reduced to a 
                         closed set a classified time series in spatio-temporal generalized 
                         dimensions. As a case study, we show a preliminary application in 
                         space science data, highlighting the possibility of a real time 
                         analysis expert system to be developed in a future work.",
                 issn = "1983-8409 and 2177-8833",
             language = "en",
           targetfile = "generalized numerical lattices.pdf",
        urlaccessdate = "2024, Apr. 29"
}