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joaompereira/README.md

Hi there 👋

I'm an Assistant Professor in the Instituto de Matemática Pura e Aplicada. I am an applied mathematician studying machine learning, multi-linear algebra and information theory. My research centers on scalable methods and statistical fundamental limits of high-dimensional inverse problems, that include tensor decomposition, cryo-electron microscopy, and partial and stochastic differential equations. In addition, I have interests in machine learning, deep learning, statistics, information theory and optimization.

​I was a Ph.D. student of Emmanuel Abbe and Amit Singer at Princeton University and worked as a postdoc with Vahid Tarokh at Duke University, and with Joe Kileel and Rachel Ward at University of Texas at Austin.

Some interesting Github repositories I have authored or helped out:

  • Implementation of the subspace power method for tensor decomposition (in MATLAB and Python)
  • Implementation of several works using PINNs for equation discovery, together with Ali Hasan
  • A little bit of a fun side-project, I developed a solver for Wordle (a game of NY Times)
  • Expect new scalable algorithms for several inverse problems coming here

Pinned Loading

  1. hipnex hipnex Public

    MATLAB 1

  2. alluly/pde-estimation alluly/pde-estimation Public

    Pytorch code for learning an underlying PDE from given data.

    Jupyter Notebook 16 5

  3. SPM SPM Public

    Subspace Power Method

    MATLAB 1

  4. alluly/ident-latent-sde alluly/ident-latent-sde Public

    Code for paper "Identifying Latent Stochastic Differential Equations"

    Jupyter Notebook 4 2

  5. wordle-solver wordle-solver Public

    A solver for Wordle or termo.oo

    Python