caa a22 4500 463187229 CHVBK 20180406164857.0 cr unu---uuuuu 170326e20070401xx s 000 0 eng 10.1007/s10472-007-9065-2 doi (NATIONALLICENCE)springer-10.1007/s10472-007-9065-2 Logical analysis of data - the vision of Peter L. Hammer [Elektronische Daten] [Gabriela Alexe, Sorin Alexe, Tibérius Bonates, Alexander Kogan] Logical analysis of data (LAD) is a special data analysis methodology which combines ideas and concepts from optimization, combinatorics, and Boolean functions. The central concept in LAD is that of patterns, or rules, which were found to play a critical role in classification, ranked regression, clustering, detection of subclasses, feature selection and other problems. The research area of LAD was defined and initiated by Peter L. Hammer, who was the catalyst of the LAD oriented research for decades, and whose consistent vision and efforts helped the methodology to move from theory to data analysis applications, to achieve maturity and to be successful in many medical, industrial and economics case studies. This overview presents some of the basic aspects of LAD, from the definition of the main concepts to the efficient algorithms for pattern generation, and from the complexity analysis of the difficult problems embedded in LAD to its biomedical applications. We focus in this paper only on some recent developments in LAD which were of particular interest to Peter L. Hammer, who played a key role in obtaining all the results described here. The presentation in this overview is based on the original publications of Peter L. Hammer and his co-authors. We dedicate this paper to the memory of Peter L. Hammer. Springer Science+Business Media B.V., 2007 Logical analysis data nationallicence Peter L. Hammer nationallicence Data analysis nationallicence Alexe Gabriela Computational Biology and Bioinformatics Program, The Broad Institute of MIT and Harvard, 7 Cambridge Center, 02142, Cambridge, MA, USA aut Alexe Sorin WorldQuant, LLC, 411 W. Putnam Avenue, Suite 320, 06830, Greenwich, CT, USA aut Bonates Tibérius RUTCOR - Rutgers Center of Operations Research, Rutgers University, 640 Bartholomew Road, 08854, Piscataway, NJ, USA aut Kogan Alexander RUTCOR - Rutgers Center of Operations Research, Rutgers University, 640 Bartholomew Road, 08854, Piscataway, NJ, USA aut Annals of Mathematics and Artificial Intelligence Springer Netherlands 49/1-4(2007-04-01), 265-312 1012-2443 49:1-4<265 2007 49 10472 https://doi.org/10.1007/s10472-007-9065-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10472-007-9065-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Alexe Gabriela Computational Biology and Bioinformatics Program, The Broad Institute of MIT and Harvard, 7 Cambridge Center, 02142, Cambridge, MA, USA aut NATIONALLICENCE 700 1- Alexe Sorin WorldQuant, LLC, 411 W. Putnam Avenue, Suite 320, 06830, Greenwich, CT, USA aut NATIONALLICENCE 700 1- Bonates Tibérius RUTCOR - Rutgers Center of Operations Research, Rutgers University, 640 Bartholomew Road, 08854, Piscataway, NJ, USA aut NATIONALLICENCE 700 1- Kogan Alexander RUTCOR - Rutgers Center of Operations Research, Rutgers University, 640 Bartholomew Road, 08854, Piscataway, NJ, USA aut NATIONALLICENCE 773 0- Annals of Mathematics and Artificial Intelligence Springer Netherlands 49/1-4(2007-04-01), 265-312 1012-2443 49:1-4<265 2007 49 10472 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer