Riemannian Diffusion Models

Authors: Chin-Wei Huang, Milad Aghajohari, Joey Bose, Prakash Panangaden, Aaron C. Courville

NeurIPS 2022 | Conference PDF | Archive PDF | Plain Text | LLM Run Details

Reproducibility Variable Result LLM Response
Research Type Experimental Empirically, we demonstrate the expressive power of Riemannian diffusion models on a wide spectrum of smooth manifolds, such as spheres, tori, hyperboloids, and orthogonal groups. Our proposed method achieves new state-of-the-art likelihoods on all benchmarks.
Researcher Affiliation Academia University of Montreal & Mc Gill University & Mila {chin-wei.huang, milad.aghajohari, aaron.courville}@umontreal.ca joey.bose@mail.mcgill.ca, prakash@cs.mcgill.ca
Pseudocode No The paper does not contain any clearly labeled pseudocode or algorithm blocks.
Open Source Code No The paper does not explicitly state that source code is provided or link to a code repository.
Open Datasets Yes For spherical manifolds, we model the datasets compiled by Mathieu & Nickel (2020), which consist of earth and climate science events on the surface of the earth such as volcanoes (NGDC/WDS, 2022b), earthquakes (NGDC/WDS, 2022a), floods (Brakenridge, 2017), and fires (EOSDIS, 2020).
Dataset Splits No The paper mentions 'different splits of the dataset' but does not provide specific percentages or counts for training, validation, and test sets, nor does it explicitly state the use of a validation set.
Hardware Specification No The paper does not provide specific details about the hardware used for running experiments.
Software Dependencies No The paper mentions software like PyTorch and Matplotlib in its bibliography but does not provide specific version numbers for these or other software dependencies used in the experiments.
Experiment Setup Yes We report our detailed training procedure including selected hyperparameters for all models in D.