80 citations · 103 across the 9 of their papers we have counts for
11 papers
Sharp-SSL: Selective high-dimensional axis-aligned random projections for semi-supervised learning
Tengyao Wang, Edgar Dobriban, Milana Gataric +1
We propose a new method for high-dimensional semi-supervised learning problems based on the careful aggregation of the results of a low-dimensional procedure applied to many axis-a…
High-resolution signal recovery via generalized sampling and functional principal component analysis
Milana Gataric
In this paper, we introduce a computational framework for recovering a high-resolution approximation of an unknown function from its low-resolution indirect measurements as well as…
Characterising optical fibre transmission matrices using metasurface reflector stacks for lensless imaging without distal access
George S. D. Gordon, Milana Gataric, Alberto Gil C. P. Ramos +5
The ability to form images through hair-thin optical fibres promises to open up new applications from biomedical imaging to industrial inspection. Unfortunately, deployment has bee…
Reconstruction of optical vector-fields with applications in endoscopic imaging
Milana Gataric, George S. D. Gordon, Francesco Renna +3
We introduce a framework for the reconstruction of the amplitude, phase and polarisation of an optical vector-field using calibration measurements acquired by an imaging device wit…
Sparse principal component analysis via axis-aligned random projections
Milana Gataric, Tengyao Wang, Richard J. Samworth
We introduce a new method for sparse principal component analysis, based on the aggregation of eigenvector information from carefully-selected axis-aligned random projections of th…
Computing reconstructions from nonuniform Fourier samples: Universality of stability barriers and stable sampling rates
Ben Adcock, Milana Gataric, José Luis Romero
We study the problem of recovering an unknown compactly-supported multivariate function from samples of its Fourier transform that are acquired nonuniformly, i.e. not necessarily o…
A practical guide to the recovery of wavelet coefficients from Fourier measurements
Milana Gataric, Clarice Poon
In a series of recent papers (Adcock, Hansen and Poon, 2013, Appl. Comput. Harm. Anal. 45(5):3132-3167), (Adcock, Gataric and Hansen, 2014, SIAM J. Imaging Sci. 7(3):1690-1723) and…
Density theorems for nonuniform sampling of bandlimited functions using derivatives or bunched measurements
Ben Adcock, Milana Gataric, Anders C. Hansen
We provide sufficient density condition for a set of nonuniform samples to give rise to a set of sampling for multivariate bandlimited functions when the measurements consist of po…
Recovering piecewise smooth functions from nonuniform Fourier measurements
Ben Adcock, Milana Gataric, Anders C. Hansen
In this paper, we consider the problem of reconstructing piecewise smooth functions to high accuracy from nonuniform samples of their Fourier transform. We use the framework of non…
Weighted frames of exponentials and stable recovery of multidimensional functions from nonuniform Fourier samples
Ben Adcock, Milana Gataric, Anders C. Hansen
In this paper, we consider the problem of recovering a compactly supported multivariate function from a collection of pointwise samples of its Fourier transform taken nonuniformly.…
On stable reconstructions from nonuniform Fourier measurements
Ben Adcock, Milana Gataric, Anders C. Hansen
We consider the problem of recovering a compactly-supported function from a finite collection of pointwise samples of its Fourier transform taking nonuniformly. First, we show that…