Exact Inference on Gaussian Graphical Models of Arbitrary Topology using Path-Sums

Authors: P.-L. Giscard, Z. Choo, S. J. Thwaite, D. Jaksch

JMLR 2016 | Venue PDF | Archive PDF | Plain Text | LLM Run Details

Reproducibility Variable Result LLM Response
Research Type Experimental We give detailed examples demonstrating our results. This result is again easily verified through direct inversion of J. In addition, we have consistently observed in numerical experiments that the contribution of a simple cycle/path to any path-sum decays exponentially with its length.
Researcher Affiliation Academia Department of Computer Science University of York, Department of Statistics University of Oxford, Department of Physics and Arnold Sommerfeld Center for Theoretical Physics, Ludwig-Maximilians-Universität at München, Department of Physics University of Oxford.
Pseudocode No The paper describes mathematical formulations and provides examples of their application but does not include any structured pseudocode or algorithm blocks.
Open Source Code No The paper does not contain any explicit statements about the release of source code, nor does it provide links to a code repository or mention code in supplementary materials.
Open Datasets No The paper uses mathematical examples, such as a 'circle graph on 5 vertices, denoted C5' and a 'thin membrane model', rather than experimental data from a publicly available dataset. No datasets with concrete access information are provided.
Dataset Splits No The paper does not utilize external datasets for experimentation and therefore does not provide any information regarding dataset splits.
Hardware Specification No The paper mentions 'numerical experiments' but does not provide any specific details about the hardware (e.g., GPU models, CPU types, memory) used to conduct these experiments.
Software Dependencies No The paper does not specify any ancillary software dependencies or their version numbers that would be required to replicate the work.
Experiment Setup No The paper focuses on mathematical formulations and provides illustrative examples with specific parameter values for the mathematical models (e.g., 'r = 0.3' or 'a = b = 1'), but it does not describe an experimental setup with hyperparameters or training configurations typically found in empirical studies.