Postdoctoral position: Empirical wavelets and deep learning for image
restoration. Application to atmospheric turbulence mitigation.
Supervisor: Prof. Jerome Gilles (Personal webpage)
Department of Mathematics & Statistics, San Diego State University, USA.
The objective of this temporary position is to investigate the links between the recently developed
empirical wavelets and deep learning techniques, with a background application in atmospheric
turbulence mitigation. Empirical wavelets aims at building data-driven wavelets systems based on
an adaptive partitioning of the Fourier domain, and have shown very promising results in applications (see References). This project has two main aspects:
- continue to develop the theoretical aspects of empirical wavelets: construction of orthogonal
basis, optimal frames bounds, characterization of functions spaces (Besov, BMO,...), ...
- investigate the link between empirical wavelets and neural networks. Can empirical wavelets
be used to model neural network architectures? Can techniques used to train neural networks
also be used to learn empirical wavelet systems? ...
The selected candidate will work under the supervision of Prof. Jerome Gilles and will be
involved in all or partial aspects of the project depending on her/his qualifications and interests. It is expected
that the selected candidate will also be involved in the supervision of master and/or undergraduate
The selected candidate is expected to have some background in mathematical analysis (basic knowledge in Fourier analysis and wavelets will be a plus), optimization, neural networks and image
processing. Programming (Matlab, python) and good communication skills are also expected. The
candidate must have a Ph.D degree in Mathematics or a related field.
San Diego State University is an academically rich urban university that provides endless possi-
bilities for students. Part of the 23-campus California State University system, SDSU is the third-
largest university in the state with an enrollment of nearly 34,000 students. With award-winning
professors, top-notch research facilities, and a sunny location at the gateway to Latin America and
the Pacific Rim, SDSU gives students the tools to expand their knowledge and their potential.
The Department of Mathematics & Statistics offers several bachelor and master degrees, and is ac-
tive within several joint Ph.D programs. Department faculties are active in a variety of research ar-
eas, pure and applied (signal/image processing, dynamical systems, biomath, climate science,. . . ).
for more information about the department.
Condition of employment
This postdoc position is funded through a grant from the Air Force Office of Scientific Research.
This position is open until a qualified candidate has been selected. The starting date is negotiable
but expected to be as soon as possible. An annual salary of $30k for up to three years (one year
contract renewed every year) will be offered.
The application should include (all documents should be merged into a single PDF file):
- CV (including contact information for at least two academic references),
- letter of motivation (two pages maximum) explaining why you will fit the project,
- two publications showing your level of expertise.
Applications and/or questions must be submitted directly to Prof. Jerome Gilles by email at
email@example.com . Please use "Postdoc application" as your email subject. All applications will
be reviewed until the position is filled.
SDSU is an equal opportunity employer and value diversity. We are committed to building a
diverse cohort so you are encouraged to apply.