Research output: Contribution to journal › Conference article › peer-review
Recovering noisy contexts with probabilistic formal concepts? / Martynovich, Vitaliy V.; Vityaev, Euvgeniy E.
In: CEUR Workshop Proceedings, Vol. 1687, 2016, p. 24-35.Research output: Contribution to journal › Conference article › peer-review
}
TY - JOUR
T1 - Recovering noisy contexts with probabilistic formal concepts?
AU - Martynovich, Vitaliy V.
AU - Vityaev, Euvgeniy E.
PY - 2016
Y1 - 2016
N2 - The uncertainty in the environment typically generates noisy concept alternatives and leads to an overpopulated concept lattice. From a computational point of view, a straightforward filtering of the noisy concept lattice will suffer from an exponential-size computational overkill, and from a semantical one [ will face numerous ambiguities due to an overfitting. We managed to bypass the filtering problem by applying a sort of probabilistic approach. We developed a probabilistic generaliza-tion of formal concepts which seems to avoid a monstrous combinatorial complexity of a complete context lattice construction. The theoretical base for this method is described, as well as a ready-to-work noise resis-tant algorithm. The algorithm has been tested and showed a moderate precision and recall rate on various datasets, including a toy one pre-sented with the presence of a 2, 3 or 5% random noise.
AB - The uncertainty in the environment typically generates noisy concept alternatives and leads to an overpopulated concept lattice. From a computational point of view, a straightforward filtering of the noisy concept lattice will suffer from an exponential-size computational overkill, and from a semantical one [ will face numerous ambiguities due to an overfitting. We managed to bypass the filtering problem by applying a sort of probabilistic approach. We developed a probabilistic generaliza-tion of formal concepts which seems to avoid a monstrous combinatorial complexity of a complete context lattice construction. The theoretical base for this method is described, as well as a ready-to-work noise resis-tant algorithm. The algorithm has been tested and showed a moderate precision and recall rate on various datasets, including a toy one pre-sented with the presence of a 2, 3 or 5% random noise.
KW - Association rules
KW - Classification task
KW - Concept lattice
KW - Data mining
KW - Formal concept analysis
KW - Inductive learning
UR - http://www.scopus.com/inward/record.url?scp=84990833594&partnerID=8YFLogxK
M3 - Conference article
AN - SCOPUS:84990833594
VL - 1687
SP - 24
EP - 35
JO - CEUR Workshop Proceedings
JF - CEUR Workshop Proceedings
SN - 1613-0073
T2 - 2nd International Workshop on Soft Computing Applications and Knowledge Discovery, SCAKD 2016
Y2 - 18 July 2016
ER -
ID: 25327581