Notice: The reproducibility variables underlying each score are classified using an automated LLM-based pipeline, validated against a manually labeled dataset. LLM-based classification introduces uncertainty and potential bias; scores should be interpreted as estimates. Full accuracy metrics and methodology are described in [1].

Polynomial-Time Algorithms for Counting and Sampling Markov Equivalent DAGs

Authors: Marcel Wienรถbst, Max Bannach, Maciej Liskiewicz12198-12206

AAAI 2021 | Venue PDF | LLM Run Details

Reproducibility Variable Result LLM Response
Research Type Experimental Experimental results show that the algorithms significantly outperform state-of-the-art methods.
Researcher Affiliation Academia Marcel Wien obst, Max Bannach, Maciej Li skiewicz Institute of Theoretical Computer Science, University of L ubeck, Germany EMAIL
Pseudocode Yes Algorithm 1: A modified version of the lexicographic BFS... Algorithm 2: The Clique-Picking algorithm computes the number of acyclic moral orientations of a UCCG G.
Open Source Code Yes The source code and the supplementary material are available at https://github.com/mwien/Clique Picking.
Open Datasets Yes Figure 2 shows the run time of the four algorithms on random chordal graphs details of the random graph generation and further experiments can be found in the supplementary material. We chose the random subtree intersection method (left plot in Fig. 2) as it generates a broad range of chordal graphs (Seker et al. 2017); and we complemented these with random interval graphs (right plot) as Anon MAO runs provably in polynomial time on this subclass of chordal graphs (Ganian, Hamm, and Talvitie 2020).
Dataset Splits No The paper does not mention training, validation, or test splits, as the experiments involve running algorithms on generated graphs rather than training a machine learning model with data partitions.
Hardware Specification No The paper does not provide specific details about the hardware used for the experiments.
Software Dependencies No The paper does not specify any software dependencies with version numbers (e.g., Python, PyTorch, specific solvers).
Experiment Setup Yes Figure 2 shows the run time of the four algorithms on random chordal graphs details of the random graph generation and further experiments can be found in the supplementary material4. We chose the random subtree intersection method (left plot in Fig. 2) as it generates a broad range of chordal graphs (Seker et al. 2017); and we complemented these with random interval graphs (right plot) as Anon MAO runs provably in polynomial time on this subclass of chordal graphs (Ganian, Hamm, and Talvitie 2020).