From the 1 of 11 linked papers with an AI index.
11 papers
Error Analysis of Triangular Optimal Transport Maps for Filtering
Mohammad Al-Jarrah, Bamdad Hosseini, Niyizhen Jin +2
The paper analyzes estimation errors of optimal‑transport‑based filtering algorithms, extending Brenier map error results to conditional Brenier maps and demonstrating the approach…
Time-Reversed BSDEs for Accurate Gradient Estimation in Diffusion Models
Yuhang Mei, Amirhossein Taghvaei
There is a growing literature adopting a stochastic optimal control (SOC) perspective to fine-tune diffusion models and related generative policies. A prominent class of methods, k…
Conditional Sampling via Wasserstein Autoencoders and Triangular Transport
Mohammad Al-Jarrah, Michele Martino, Marcus Yim +2
We present Conditional Wasserstein Autoencoders (CWAEs), a framework for conditional simulation that exploits low-dimensional structure in both the conditioned and the conditioning…
Causal Optimal Coupling for Gaussian Input-Output Distributional Data
Daran Xu, Amirhossein Taghvaei
We study the problem of identifying an optimal coupling between input-output distributional data generated by a causal dynamical system. The coupling is required to satisfy prescri…
A lasso-alternative to Dijkstra's algorithm for identifying short paths in networks
Anqi Dong, Amirhossein Taghvaei, Tryphon T. Georgiou
We revisit the problem of finding the shortest path between two selected vertices of a graph and formulate this as an -regularized regression -- Least Absolute Shrinkage an…
A convex approach for Markov chain estimation from aggregate data via inverse optimal transport
Michele Mascherpa, Axel Ringh, Amirhossein Taghvaei +1
We address the problem of identifying the dynamical law governing the evolution of a population of indistinguishable particles, when only aggregate distributions at successive time…