Me

Milana Gatarić

I am a research associate in the Centre for Mathematical Imaging in Healthcare based at the Statistical Laboratory, University of Cambridge. Prior to this, I was an EPSRC Doctoral Prize Fellow at the Department of Applied Mathematics and Theoretical Physics, University of Cambridge.

In 2016 I completed my PhD in Applied Mathematics at the University of Cambridge, where I was co-supervised by Ben Adcock and Anders Hansen. I also have a BSc and a MSc in Applied Mathematics, both from the University of Novi Sad, Serbia.

I provide consulting services at the Imaging and AI Clinic and the Statistics Clinic, which are open to all university members.

My research interests span across computational and statistical analysis motivated by image and signal processing applications. Specific topics include high-dimensional clustering and principal component analysis; sparse models; image reconstruction; super-resolution; inverse problems; sampling theory; Fourier analysis; multiscale approximations.

Here is my Google Scholar and my LinkedIn profile.

Publications

Preprints

G. S. D. Gordon, M. Gataric, A. G. C. P. Ramos, R. Mouthaan, C. Williams, J. Yoon, T. D. Wilkinson, S. E. Bohndiek
"Characterising optical fibre transmission matrices using metasurface reflector stacks for lensless imaging without distal access"
[arXiv]
M. Gataric, T. Wang, R. J. Samworth
"Sparse principal component analysis via axis-aligned random projections"
[arXiv]
Code: [R package SPCAvRP]

Reviewed Journal Papers

M. Gataric, G. S. D. Gordon, F. Renna, A. G. C. P. Ramos, M. P. Alcolea, S. E. Bohndiek
"Reconstruction of optical vector-fields with applications in endoscopic imaging"
IEEE Transactions on Medical Imaging, 2018.
[DOI:10.1109/TMI.2018.2875875] [arXiv]
B. Adcock, M. Gataric, J. L. Romero
"Computing reconstructions from nonuniform Fourier samples: Universality of stability barriers and stable sampling rates"
Elsevier Applied and Computational Harmonic Analysis, 2017.
[DOI:10.1016/j.acha.2017.05.004] [arXiv]
M. Gataric, C. Poon
"A practical guide to the recovery of wavelet coefficients from Fourier measurements"
SIAM Journal on Scientific Computing, 2016.
[DOI:10.1137/15M1018630] [arXiv]
Code: [Matlab software]
B. Adcock, M. Gataric, A. C. Hansen
"Density theorems for nonuniform sampling of bandlimited functions using derivatives or bunched measurements"
Springer Journal of Fourier Analysis and Applications, 2016.
[DOI:10.1007/s00041-016-9504-8] [arXiv]
B. Adcock, M. Gataric, A. C. Hansen
"Weighted frames of exponentials and stable recovery of multidimensional functions from nonuniform Fourier samples"
Elsevier Applied and Computational Harmonic Analysis, 2015.
[DOI:10.1016/j.acha.2015.09.006] [arXiv]
B. Adcock, M. Gataric, A. C. Hansen
"On stable reconstructions from nonuniform Fourier measurements"
SIAM Journal on Imaging Sciences, 2014.
[DOI:10.1137/130943431] [arXiv]

Reviewed Conference Proceedings

B. Adcock, M. Gataric, A. C. Hansen
"Stable nonuniform sampling with weighted Fourier frames and recovery in arbitrary spaces"
IEEE 2015 International Conference on Sampling Theory and Applications (SAMPTA), 2015.
[DOI:10.1109/SAMPTA.2015.7148860]
B. Adcock, M. Gataric, A. C. Hansen
"Recovering piecewise smooth functions from nonuniform Fourier measurements"
Springer Lecture Notes in Computational Science and Engineering, Selected papers from International Conference on Spectral and High Order Methods, 2015.
[DOI:10.1007/978-3-319-19800-2] [arXiv]

Invited Discussion

Technical Report

Theses

CCA Essays

Photo of CMS

Contacts

Email:
m.gataric [at] statslab.cam.ac.uk
m.gataric [at] maths.cam.ac.uk
mg617 [at] cam.ac.uk
milanagataric [at] gmail.com
Address:
Department for Pure Mathematics and Mathematical Statistics
Centre for Mathematical Sciences
Wilberforce Road
Cambridge CB3 0WB, UK
Office:
D0.16
Phone:
+44 1223 339791