Coupling logical analysis of data and shadow clustering for partially defined positive Boolean function reconstruction

M Muselli, E Ferrari - IEEE Transactions on Knowledge and …, 2009 - ieeexplore.ieee.org
The problem of reconstructing the and-or expression of a partially defined positive Boolean
function (pdpBf) is solved by adopting a novel algorithm, denoted by LSC, which combines …

Reconstructing positive Boolean functions with shadow clustering

M Muselli, A Quarati - … of the 2005 European Conference on …, 2005 - ieeexplore.ieee.org
The problem of reconstructing the AND-OR expression of a positive Boolean function
starting from a portion of its truth table is solved by adopting a proper algorithm, called …

Identifying 2-monotonic positive Boolean functions in polynomial time

E Boros, PL Hammer, T Ibaraki, K Kawakami - ISA'91 Algorithms: 2nd …, 1991 - Springer
We consider to identify an unknown Boolean function f by asking an oracle the functional
values f (a) for a selected set of test vectors a ε {0, 1} n. If f is known to be a positive function …

Logical analysis of binary data with missing bits

E Boros, T Ibaraki, K Makino - Artificial Intelligence, 1999 - Elsevier
We model a given pair of sets of positive and negative examples, each of which may contain
missing components, as a partially defined Boolean function with missing bits (pBmb)(T …

Worst-case groundness analysis using positive Boolean functions

M Codish - The journal of logic programming, 1999 - Elsevier
This note illustrates a theoretical worst-case scenario for groundness analyses obtained
through abstract interpretation over the abstract domain of positive Boolean functions. A …

[图书][B] Extensions of partially defined Boolean functions with missing data

E Boros, T Ibaraki, K Makino - 1996 - Citeseer
As a form of knowledge acquisition from data, we consider the problem which, given a
partially de ned Boolean function with missing data (pBmd)(~ T;~ F), where~ T f0; 1; gn and …

A fast and simple algorithm for identifying 2-monotonic positive Boolean functions

K Makino, T Ibaraki - Journal of Algorithms, 1998 - Elsevier
Consider the problem of identifying minT (f) and maxF (f) of a positive (ie, monotone)
Boolean functionf, by using membership queries only, where minT (f)(maxF (f)) denotes the …

[HTML][HTML] Spanned patterns for the logical analysis of data

G Alexe, PL Hammer - Discrete Applied Mathematics, 2006 - Elsevier
In a finite dataset consisting of positive and negative observations represented as real
valued n-vectors, a positive (negative) pattern is an interval in Rn with the property that it …

Fast and efficient boolean matrix factorization by geometric segmentation

C Wan, W Chang, T Zhao, M Li, S Cao… - Proceedings of the AAAI …, 2020 - ojs.aaai.org
Boolean matrix has been used to represent digital information in many fields, including bank
transaction, crime records, natural language processing, protein-protein interaction, etc …

Boolean analysis of incomplete examples

E Boros, T Ibaraki, K Makino - Scandinavian Workshop on Algorithm …, 1996 - Springer
As a form of knowledge acquisition from data, we consider the problem of deciding whether
there exists an extension of a partially defined Boolean function with missing data (̃ T, ̃ F) …