Search Results for author: Pierre Marquis

Found 11 papers, 0 papers with code

On the Complexity of Enumerating Prime Implicants from Decision-DNNF Circuits

no code implementations30 Jan 2023 Alexis de Colnet, Pierre Marquis

We consider the problem EnumIP of enumerating prime implicants of Boolean functions represented by decision decomposable negation normal form (dec-DNNF) circuits.

Negation

Computing Abductive Explanations for Boosted Trees

no code implementations16 Sep 2022 Gilles Audemard, Jean-Marie Lagniez, Pierre Marquis, Nicolas Szczepanski

However, the generation of such well-founded explanations is intractable in the general case.

Rectifying Mono-Label Boolean Classifiers

no code implementations17 Jun 2022 Sylvie Coste-Marquis, Pierre Marquis

We elaborate on the notion of rectification of a Boolean classifier $\Sigma$.

Pseudo Polynomial-Time Top-k Algorithms for d-DNNF Circuits

no code implementations11 Feb 2022 Pierre Bourhis, Laurence Duchien, Jérémie Dusart, Emmanuel Lonca, Pierre Marquis, Clément Quinton

Under the same assumption, we present a pseudo polynomial-time algorithm that transforms $C$ into a d-DNNF circuit $C'$ satisfied exactly by the models of $C$ having a value among the top-$k$ ones.

On Quantifying Literals in Boolean Logic and Its Applications to Explainable AI

no code implementations23 Aug 2021 Adnan Darwiche, Pierre Marquis

This leads to a refinement of quantified Boolean logic with literal quantification as its primitive.

Trading Complexity for Sparsity in Random Forest Explanations

no code implementations NeurIPS 2021 Gilles Audemard, Steve Bellart, Louenas Bounia, Frédéric Koriche, Jean-Marie Lagniez, Pierre Marquis

Notably, as an alternative to sufficient reasons taking the form of prime implicants of the random forest, we introduce majoritary reasons which are prime implicants of a strict majority of decision trees.

On the Explanatory Power of Decision Trees

no code implementations NeurIPS 2021 Gilles Audemard, Steve Bellart, Louenas Bounia, Frédéric Koriche, Jean-Marie Lagniez, Pierre Marquis

We finally show that, unlike sufficient reasons, the set of all contrastive explanations for an instance given a decision tree can be derived, minimized and counted in polynomial time.

On the Computational Intelligibility of Boolean Classifiers

no code implementations13 Apr 2021 Gilles Audemard, Steve Bellart, Louenas Bounia, Frédéric Koriche, Jean-Marie Lagniez, Pierre Marquis

In this paper, we investigate the computational intelligibility of Boolean classifiers, characterized by their ability to answer XAI queries in polynomial time.

Explainable Artificial Intelligence (XAI)

On Irrelevant Literals in Pseudo-Boolean Constraint Learning

no code implementations8 Dec 2020 Danel Le Berre, Pierre Marquis, Stefan Mengel, Romain Wallon

Learning pseudo-Boolean (PB) constraints in PB solvers exploiting cutting planes based inference is not as well understood as clause learning in conflict-driven clause learning solvers.

On Weakening Strategies for PB Solvers

no code implementations9 May 2020 Daniel Le Berre, Pierre Marquis, Romain Wallon

While none of them performs better than the others on all benchmarks, applying weakening on the conflict side has surprising good performance, whereas applying partial weakening and division on both the conflict and the reason sides provides the best results overall.

On the Complexity of Optimization Problems based on Compiled NNF Representations

no code implementations24 Oct 2014 Daniel Le Berre, Emmanuel Lonca, Pierre Marquis

When the set of feasible solutions under consideration is of combinatorial nature and described in an implicit way as a set of constraints, optimization is typically NP-hard.

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