High-dimensional Inference by Convex Optimisation
DESCRIPTION
Our focus is on new theoretically and computationally solid techniques for a wide class of statistical problems through a new “operational” framework for analysis of inferential routines which relies on extensive use of the methodology involved in developing modern optimization.Our research agenda includes, but does not reduce to
- design of efficient testing routines with applications to diagnostics from heterogeneous data
- new methods of recovery of signals from nonlinear observations with application in classification and identification and inverse problems for non-linear PDE
- stochastic optimization utilizing indirect observations (e.g., privacy protected data)
- design of robust procedures with focus on iterative (adversarial) adaptive techniques
- large-scale online algorithmic implementation of inference routines
- adaptive techniques for network inference from multi-sensor data, application to identification of temporal dynamics in biomedical data, (stochastic) optimization methods which allow efficient use of streaming data, …
ACTIVITIES
The chair is collaborating with French companies Biomerieux and ST Microelectronics through supervision of 2 CIFRE PhD’s. We continue established collaborations with “MAGNET“ chair (by joint membership of E. Devijver), and chairs “Towards More Data Efficiency in Machine Learning” and “Optimization & Learning.” New collaborations are established with ENSAE-CREST through joint supervision of PhD projects.
CHAIR EVENTS
A. Juditsky and A. Nemirovski published the monographStatistical Inference via Convex Optimization. Princeton University Press (2020) https://press.princeton.edu/books/hardcover/9780691197296/statistical-inference-via-convex-optimization
Talk at MIT ORC Seminar (online), Cambridge (2021)
Invited talk at MiMo Workshop (online) (2021)
SELECTED LIST OF PUBLICATIONS
- To access to a selection of the Chair's publications: MIAI - Multidisciplinary Institute in Artificial intelligence - Grenoble Alpes (archives-ouvertes.fr)