Logical analysis of data—An overview: From combinatorial optimization to medical applications

PL Hammer, TO Bonates - Annals of Operations Research, 2006 - Springer
The paper presents a review of the basic concepts of the Logical Analysis of Data (LAD),
along with a series of discrete optimization models associated to the implementation of …

Recent advances in the theory and practice of logical analysis of data

M Lejeune, V Lozin, I Lozina, A Ragab… - European Journal of …, 2019 - Elsevier
Abstract Logical Analysis of Data (LAD) is a data analysis methodology introduced by Peter
L. Hammer in 1986. LAD distinguishes itself from other classification and machine learning …

Logical analysis of data–the vision of Peter L. Hammer

G Alexe, S Alexe, TO Bonates, A Kogan - Annals of Mathematics and …, 2007 - Springer
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 …

Breast cancer prognosis by combinatorial analysis of gene expression data

G Alexe, S Alexe, DE Axelrod, TO Bonates… - Breast Cancer …, 2006 - Springer
Introduction The potential of applying data analysis tools to microarray data for diagnosis
and prognosis is illustrated on the recent breast cancer dataset of van't Veer and coworkers …

Application of logical analysis of data to machinery-related accident prevention based on scarce data

S Jocelyn, Y Chinniah, MS Ouali, S Yacout - Reliability Engineering & …, 2017 - Elsevier
This paper deals with the application of Logical Analysis of Data (LAD) to machinery-related
occupational accidents, using belt-conveyor-related accidents as an example. LAD is a …

Logical analysis of data: theory, methodology and applications

I Chikalov, V Lozin, I Lozina, M Moshkov… - Three Approaches to …, 2013 - Springer
Logical analysis of data (LAD) is a data analysis methodology which combines ideas and
concepts from optimization, combinatorics and Boolean functions. The idea of LAD was first …

On Pareto-optimal Boolean logical patterns for numerical data

C Guo, HS Ryoo - Applied Mathematics and Computation, 2021 - Elsevier
This paper clarifies the difference between intrinsically 0–1 data and binarized numerical
data for Boolean logical patterns and strengthens mathematical results and methods from …

Construction of a Compact and High-Precision Classifier in the Inductive Learning Method for Prediction and Diagnostic Problems

R Kuzmich, A Stupina, A Yasinskiy, M Pokushko… - Information, 2022 - mdpi.com
The study is dictated by the need to make reasonable decisions in the classification of
observations, for example, in the problems of medical prediction and diagnostics. Today, as …

Graph, clique and facet of boolean logical polytope

K Yan, HS Ryoo - Journal of Global Optimization, 2022 - Springer
Logical analysis of data (LAD) discovers useful knowledge from a set of data in the form of a
Boolean pattern for classifying future data. Generating a pattern has been shown to be …

The modified method of logical analysis used for solving classification problems

R Kuzmich, A Stupina, L Korpacheva… - …, 2019 - journals.sagepub.com
The study is dictated by the need to interpret and justify the solutions of classification
problems. In this context, a method of logical analysis of data is considered along with its …