Name
Abstract | ||
|---|---|---|
Among dissimilarities between probability distributions, the Kernel Stein Discrepancy (KSD) has received much interest recently. We investigate the properties of its Wasserstein gradient flow to approximate a target probability distribution pi on R-d, known up to a normalization constant. This leads to a straightforwardly implementable, deterministic score-based method to sample from pi, named KSD Descent, which uses a set of particles to approximate pi. Remarkably, owing to a tractable loss function, KSD Descent can leverage robust parameter-free optimization schemes such as L-BFGS; this contrasts with other popular particle-based schemes such as the Stein Variational Gradient Descent algorithm. We study the convergence properties of KSD Descent and demonstrate its practical relevance. However, we also highlight failure cases by showing that the algorithm can get stuck in spurious local minima. |
Year | Venue | DocType |
|---|---|---|
2021 | INTERNATIONAL CONFERENCE ON MACHINE LEARNING, VOL 139 | Conference |
Volume | ISSN | Citations |
139 | 2640-3498 | 0 |
PageRank | References | Authors |
0.34 | 0 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Anna Korba | 1 | 3 | 3.42 |
| Aubin-Frankowski Pierre-Cyril | 2 | 0 | 0.68 |
| Szymon Majewski | 3 | 0 | 0.34 |
| Pierre Ablin | 4 | 9 | 4.61 |