The Algebraic Path Problem for Graph Metrics
Authors: Enrique Fita Sanmartı́n, Sebastian Damrich, Fred Hamprecht
ICML 2022 | Conference PDF | Archive PDF | Plain Text | LLM Run Details
| Reproducibility Variable | Result | LLM Response |
|---|---|---|
| Research Type | Theoretical | The paper focuses on defining new algebraic structures (semirings, bimonoids) and clarifying their relationships to graph metrics, deriving sufficient conditions for these structures to define a metric. It presents theoretical concepts and proofs (e.g., Appendix A, F, G) rather than empirical evaluation on datasets. Although Table 1 and Figure 1 show 'toy examples' and 'schematic' visualizations, these serve to illustrate theoretical properties, not to present empirical performance results or comparisons on real-world data. |
| Researcher Affiliation | Academia | 1IWR at Heidelberg University, 69120 Heidelberg, Germany. |
| Pseudocode | No | The paper states in Appendix I: 'Nonetheless, in appendix I we sketch an algorithm to compute the Exp-max and Log-max distances (last row Table 1).' However, the appendix provides a descriptive explanation of an approach rather than a structured pseudocode block or algorithm formally presented as such. |
| Open Source Code | No | The paper does not contain any explicit statement about releasing source code for the methodology described, nor does it provide any links to a code repository. |
| Open Datasets | No | This is a theoretical paper that does not involve empirical training on datasets. It uses 'toy examples' and 'schematic' visualizations for illustrative purposes, not for data-driven training or evaluation. |
| Dataset Splits | No | This is a theoretical paper and does not describe experiments that would involve validation splits of a dataset. |
| Hardware Specification | No | This paper is theoretical and does not describe any computational experiments that would require specific hardware specifications. Therefore, no hardware details are provided. |
| Software Dependencies | No | This paper is theoretical and does not describe any computational experiments that would require specific software dependencies with version numbers. Therefore, no software dependency details are provided. |
| Experiment Setup | No | This paper is theoretical and does not describe any empirical experimental setup with hyperparameters, training configurations, or system-level settings. |