Flows for simultaneous manifold learning and density estimation

Authors: Johann Brehmer, Kyle Cranmer

NeurIPS 2020 | Venue PDF | Archive PDF | Plain Text | LLM Run Details

Reproducibility Variable Result LLM Response
Research Type Experimental In a range of experiments we demonstrate how M-flows learn the data manifold and allow for better inference than standard flows in the ambient data space.
Researcher Affiliation Academia Johann Brehmer and Kyle Cranmer New York University EMAIL, EMAIL
Pseudocode No No structured pseudocode or algorithm blocks are present in the paper.
Open Source Code Yes The code used in our study is available at http://github.com/johannbrehmer/manifold-flow.
Open Datasets Yes We generate these with a Style GAN2 [25] model trained on the FFHQ dataset [26], sampling n of the GAN latent variables while keeping all others fixed. ... In addition, we use the real-world Celeb A-HQ dataset [26].
Dataset Splits No The paper mentions training and test data, but does not explicitly provide details for a separate validation split or how it was used beyond general evaluation.
Hardware Specification No Funding disclosure: This work was supported in part through the NYU IT High Performance Computing resources, services, and staff expertise. (This is a general statement and lacks specific hardware details like GPU/CPU models.)
Software Dependencies Yes We are grateful to the authors and maintainers of DELPHES 3 [32], ... PYTHIA8 [39], ... PYTORCH [40], PYTORCH-FID [41], SCIKIT-LEARN [42], and SCIPY [43].
Experiment Setup Yes All models are based on rational-quadratic neural spline flows [17]. For tabular datasets, we construct transformations f and h by alternating coupling layers with either random permutations or invertible linear transformations, using between 20 and 35 coupling layers depending on the dataset. For image data, f is based on a multi-scale architecture [5] with between 20 and 28 coupling layers across four levels interspersed with actnorm layers and 1 1 convolutions, closely following Refs. [17, 18].