Optimal transport for treatment effect estimation
Estimating individual treatment effects from observational data is challenging due to
treatment selection bias. Prevalent methods mainly mitigate this issue by aligning different …
treatment selection bias. Prevalent methods mainly mitigate this issue by aligning different …
Density-aware chamfer distance as a comprehensive metric for point cloud completion
Chamfer Distance (CD) and Earth Mover's Distance (EMD) are two broadly adopted metrics
for measuring the similarity between two point sets. However, CD is usually insensitive to …
for measuring the similarity between two point sets. However, CD is usually insensitive to …
Bipartite matching in nearly-linear time on moderately dense graphs
We present an ̃O(m+n^1.5)-time randomized algorithm for maximum cardinality bipartite
matching and related problems (eg transshipment, negative-weight shortest paths, and …
matching and related problems (eg transshipment, negative-weight shortest paths, and …
Projection‐based techniques for high‐dimensional optimal transport problems
Optimal transport (OT) methods seek a transformation map (or plan) between two probability
measures, such that the transformation has the minimum transportation cost. Such a …
measures, such that the transformation has the minimum transportation cost. Such a …
Point-set distances for learning representations of 3d point clouds
Learning an effective representation of 3D point clouds requires a good metric to measure
the discrepancy between two 3D point sets, which is non-trivial due to their irregularity. Most …
the discrepancy between two 3D point sets, which is non-trivial due to their irregularity. Most …
Distributional sliced-Wasserstein and applications to generative modeling
Sliced-Wasserstein distance (SW) and its variant, Max Sliced-Wasserstein distance (Max-
SW), have been used widely in the recent years due to their fast computation and scalability …
SW), have been used widely in the recent years due to their fast computation and scalability …
Balanced chamfer distance as a comprehensive metric for point cloud completion
Abstract Chamfer Distance (CD) and Earth Mover's Distance (EMD) are two broadly adopted
metrics for measuring the similarity between two point sets. However, CD is usually …
metrics for measuring the similarity between two point sets. However, CD is usually …
Understanding ddpm latent codes through optimal transport
Diffusion models have recently outperformed alternative approaches to model the
distribution of natural images, such as GANs. Such diffusion models allow for deterministic …
distribution of natural images, such as GANs. Such diffusion models allow for deterministic …
Linear-time gromov wasserstein distances using low rank couplings and costs
The ability to align points across two related yet incomparable point clouds (eg living in
different spaces) plays an important role in machine learning. The Gromov-Wasserstein …
different spaces) plays an important role in machine learning. The Gromov-Wasserstein …
Low-rank sinkhorn factorization
Several recent applications of optimal transport (OT) theory to machine learning have relied
on regularization, notably entropy and the Sinkhorn algorithm. Because matrix-vector …
on regularization, notably entropy and the Sinkhorn algorithm. Because matrix-vector …