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APooladian/README.md

About me

I'm a fifth year PhD student at the Center for Data Science at New York University, advised by Jonathan Niles-Weed. My research interests lie at the intersection of optimal transport, high-dimensional statistics, and optimization theory. This Github page contains the code for some of my research projects during my PhD (among other projects):

Code is available for the following projects:

  • "Plug-in estimation of Schrödinger bridges, with Jonathan Niles-Weed (2024)
  • “Algorithms for mean-field variational inference via polyhedral optimization in the Wasserstein space” with Roger Jiang and Sinho Chewi (COLT 2024),
  • "Debiaser Beware: Pitfalls of Centering Regularized Transport Maps" with Marco Cuturi and Jonathan Niles-Weed (ICML 2022),
  • "Entropic estimation of optimal transport maps" with Jonathan Niles-Weed (2021) is also found in the above repo.
  • An implementation of the 1-Nearest-Neighbor estimator for optimal transport maps, as seen in "Plugin Estimators for Smooth Transport Maps" (Manole et al., 2021)

Contact

aram-alexandre[dot]pooladian[at]nyu[dot]edu

Pinned Loading

  1. SinkhornBridges SinkhornBridges Public

    Plug-in estimation of Schrödinger bridges (see here: https://arxiv.org/abs/2408.11686)

    Jupyter Notebook 5 1

  2. MFVI MFVI Public

    Python 4 2

  3. DebiaserBeware DebiaserBeware Public

    Repository containing Google Colab code for "Debiaser Beware: Pitfalls of Centering Regularized Transport Maps", which was recently accepted to ICML 2022.

    Jupyter Notebook 4 1

  4. 1NN_MapEstimator 1NN_MapEstimator Public

    Implementation of the 1-Nearest-Neighbor estimator for estimating optimal transport maps, as seen in [Plugin Estimation of Smooth Transport Maps](https://arxiv.org/abs/2107.12364) (Manole et al.; 2…

    Jupyter Notebook 5 1