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Giacomo Paesani

4 accepted papers

2024

A General Theoretical Framework for Learning Smallest Interpretable Models

AAAI 2024technical

We develop a general algorithmic framework that allows us to obtain fixed-parameter tractability for computing smallest symbolic models that represent given data. Our framework applies to all ML model types that admit a certain extension property. By showing this extension property for decision tree…

Cited by 4SourcePDFScholar
2024

Learning Small Decision Trees for Data of Low Rank-Width

AAAI 2024technical

We consider the NP-hard problem of finding a smallest decision tree representing a classification instance in terms of a partially defined Boolean function. Small decision trees are desirable to provide an interpretable model for the given data. We show that the problem is fixed-parameter tractable…

Cited by 2SourcePDFScholar
2023

Learning Small Decision Trees with Large Domain

IJCAI 2023poster

One favors decision trees (DTs) of the smallest size or depth to facilitate explainability and interpretability. However, learning such an optimal DT from data is well-known to be NP-hard. To overcome this complexity barrier, Ordyniak and Szeider (AAAI 21) initiated the study of optimal DT learning…

Cited by 12SourcePDFScholar
2023

The Parameterized Complexity of Finding Concise Local Explanations

IJCAI 2023poster

We consider the computational problem of finding a smallest local explanation (anchor) for classifying a given feature vector (example) by a black-box model. After showing that the problem is NP-hard in general, we study various natural restrictions of the problem in terms of problem parameters to…

Cited by 6SourcePDFScholar