3 papers
math.ST2026
Time-complexity of sampling from a multimodal distribution using sequential Monte Carlo
Ruiyu Han, Gautam Iyer, Dejan SlepÄev
We study a sequential Monte Carlo algorithm to sample from the Gibbs measure with a non-convex energy function at a low temperature. We use the practical and popular geometric anne…
math.AP2025
Convergence of graph Dirichlet energies and graph Laplacians on intersecting manifolds of varying dimensions
Leon Bungert, Dejan SlepÄev
We study -convergence of graph Dirichlet energies and spectral convergence of graph Laplacians on unions of intersecting manifolds of potentially different dimensions. Our inve…
math.AP2024
Geometry and analytic properties of the sliced Wasserstein space
Sangmin Park, Dejan SlepÄev
The sliced Wasserstein metric compares probability measures on by taking averages of the Wasserstein distances between projections of the measures to lines. The dist…