Cause-effect relationships and partially defined Boolean functions
Annals of Operations Research
A Gray code for the ideals of a forest poset
Journal of Algorithms
Logical analysis of numerical data
Mathematical Programming: Series A and B - Special issue: papers from ismp97, the 16th international symposium on mathematical programming, Lausanne EPFL
Journal of the ACM (JACM)
Communications of the ACM
Remark on algorithm 246: Graycode [Z]
ACM Transactions on Mathematical Software (TOMS)
An Implementation of Logical Analysis of Data
IEEE Transactions on Knowledge and Data Engineering
Logical analysis of data --- the vision of Peter L. Hammer
Annals of Mathematics and Artificial Intelligence
Discrete Applied Mathematics
Comprehensive vs. comprehensible classifiers in logical analysis of data
Discrete Applied Mathematics
Logical analysis of diffuse large B-cell lymphomas
Artificial Intelligence in Medicine
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Sets of "positive" and "negative" points (observations) in n-dimensional discrete space given along with their non-negative integer multiplicities are analyzed from the perspective of the Logical Analysis of Data (LAD). A set of observations satisfying upper and/or lower bounds imposed on certain components is called a positive pattern if it contains some positive observations and no negative one. The number of variables on which such restrictions are imposed is called the degree of the pattern. A total polynomial algorithm is proposed for the enumeration of all patterns of limited degree, and special efficient variants of it for the enumeration of all patterns with certain "sign" and "coverage" requirements are presented and evaluated on a publicly available collection of benchmark datasets.