An Algebraic Notion of Conditional Independence, and Its Application to Knowledge Representation
Authors: Jesse Heyninck
AAAI 2025 | Venue PDF | Archive PDF | Plain Text | LLM Run Details
| Reproducibility Variable | Result | LLM Response |
|---|---|---|
| Research Type | Theoretical | In this paper, we give an algebraic, operator-based account of conditional independence. In more detail, the paper makes the following contributions: (1) Definition of conditional independence in an operator-based, algebraic framework, providing a notion appliccable to any formalism that admits an operator-based characterization, such as the ones mentioned above. (2) Proof of crucial properties about conditional independence, including that search for fixpoints of an (approximation) operator over conditionally indepedent modules. (3) Fixed-parameter tractability results based on conditional independence. (4) A proof-of-concept application to normal logic programs under various semantics. |
| Researcher Affiliation | Academia | Jesse Heyninck Open Universiteit, the Netherlands University of Cape Town, South-Africa EMAIL |
| Pseudocode | No | The paper describes methods through definitions, propositions, and theorems, without presenting any structured pseudocode or algorithm blocks. |
| Open Source Code | No | The paper does not provide any explicit statements about releasing source code, nor does it include links to code repositories. |
| Open Datasets | No | The paper uses example logic programs (Example 1, Example 2) for illustrative purposes in Section 6, but does not refer to any publicly available or open datasets. |
| Dataset Splits | No | No external datasets are used in this paper, therefore, no dataset split information is provided. |
| Hardware Specification | No | The paper does not provide any details regarding the hardware specifications used for research or computation. |
| Software Dependencies | No | The paper does not specify any software dependencies with version numbers relevant to the methodology described, nor does it mention any tools with specific versions used for its own work. |
| Experiment Setup | No | As the paper is theoretical and does not conduct empirical experiments, no experimental setup details, hyperparameters, or training configurations are provided. |