Posts by Collection

portfolio

publications

talks

Learn, predict and infer on Probability Density Functions

Published:

A short description:

  • Introduce a new manifold structure for the space of PDFs.
  • Apply constrained GP to learn and infer on PDF.
  • Extend to CDFs.
  • Use spherical HMC sampling to solve the posterior probability on coefficients.
  • A framework that can be generalized to other manifolds.
  • Some applications in medical

Bayesian Optimization for Classifying Probability Density Functions

Published:

A shhort description:

  • Data representation leads to space of representations
  • PDFs and densities to represent data
  • Some limitations to extend ML techniques to non-flat spaces
  • Examples from functional data
  • A new Bayesian optimization method
  • Examples from applications

Tutorial: Transfer Learning on Riemannian Manifolds

Published:

A short description:

  • Study the geometry structure of some Riemannian manifolds
  • Definitions and characterisation of transfer learning
  • Statistical models and the geometric structure of the underlying space
  • Choice of appropriate metrics
  • Transfer learning algorithms of statistical models with parallel transport.
  • Applications and Extensions

Regression on Grassmannian Manifolds

Published:

A short description:

  • Problem formulations: Example of Euclidean least-squares estimate
  • Problem formulations: Example of geodesic least-squares estimate
  • Problem formulation on the Grassmannian: regression model
  • The geometric structure
  • The Bayezian optimization with Hamiltonian dynamics
  • Applications

teaching

Artficial Intelligence

Master and Bachelor course, UCA, polytechnique, 2018

A short description: Machine/Deep Learning inro, Data (exploration, cleaning, representation, visualisation), Standard and advanced/deep Models, Learning/Validation/Testing strategies, Performance measures, Overfitting, Cost functions, Optimisation, Use case, deployment pipeline, Ethical and societal issues.

Learning with Gaussian processes

Master course, UCA, 2019

The main objective of this course is to introduce spatial and temporal stochastic processes for fitting and prediction:

  • Examples and definition
  • Multivariate Gaussian distribution
  • Covariances and kernels
  • Uncertainty, Regression, Prediction, and Classification
  • MLE, MCMC, EP, MAP, etc.
  • Applications: Signals/functions, times series, images, etc.

Machine learning models for decision-making

Bachelor course, UCA, 2023

  • The main objective of this course is to take in charge simple and interpretable models for decision making with ML. Each model is tested on a use case with respect to the following steps: Modeling the problem, exploring data, choosing and optimizing a model, analyzing and interpreting the results before validating the decision.
  • Programming language: Python and libraries

Image, Signal and Visualization

Undergraduate course, UCA, 2024

  • This course is an intruduction to image and signal processing with OpenCV.
  • Basic notions:
    • Representation
    • Transformation and extraction
    • Visualization
    • Convolution