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01/31/2023
On the Initialisation of Wide Low-Rank Feedforward Neural Networks
The edge-of-chaos dynamics of wide randomly initialized low-rank feedfor...
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01/30/2023
Optimal Approximation Complexity of High-Dimensional Functions with Neural Networks
We investigate properties of neural networks that use both ReLU and x^2 ...
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10/27/2022
Improved Projection Learning for Lower Dimensional Feature Maps
The requirement to repeatedly move large feature maps off- and on-chip d...
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03/08/2022
Tuning-free multi-coil compressed sensing MRI with Parallel Variable Density Approximate Message Passing (P-VDAMP)
Purpose: To develop a tuning-free method for multi-coil compressed sensi...
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05/17/2021
Activation function design for deep networks: linearity and effective initialisation
The activation function deployed in a deep neural network has great infl...
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02/12/2021
Dense for the Price of Sparse: Improved Performance of Sparsely Initialized Networks via a Subspace Offset
That neural networks may be pruned to high sparsities and retain high ac...
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02/08/2021
Mutual Information of Neural Network Initialisations: Mean Field Approximations
The ability to train randomly initialised deep neural networks is known ...
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12/03/2020
An Empirical Study of Derivative-Free-Optimization Algorithms for Targeted Black-Box Attacks in Deep Neural Networks
We perform a comprehensive study on the performance of derivative free o...
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07/18/2020
Compressed sensing of low-rank plus sparse matrices
Expressing a matrix as the sum of a low-rank matrix plus a sparse matrix...
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04/10/2020
The Permuted Striped Block Model and its Factorization – Algorithms with Recovery Guarantees
We introduce a novel class of matrices which are defined by the factoriz...
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03/03/2020
Approximate Message Passing with a Colored Aliasing Model for Variable Density Fourier Sampled Images
The Approximate Message Passing (AMP) algorithm efficiently reconstructs...
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02/24/2020
A Model-Based Derivative-Free Approach to Black-Box Adversarial Examples: BOBYQA
We demonstrate that model-based derivative free optimisation algorithms ...
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11/25/2019
Trajectory growth lower bounds for random sparse deep ReLU networks
This paper considers the growth in the length of one-dimensional traject...
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11/04/2019
An Approximate Message Passing Algorithm for Rapid Parameter-Free Compressed Sensing MRI
For certain sensing matrices, the Approximate Message Passing (AMP) algo...
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02/28/2019
Multilspectral snapshot demosaicing via non-convex matrix completion
Snapshot mosaic multispectral imagery acquires an undersampled data cube...
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11/14/2018
Matrix rigidity and the ill-posedness of Robust PCA and matrix completion
Robust Principal Component Analysis (PCA) (Candes et al., 2011) and low-...
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06/26/2018
Towards an understanding of CNNs: analysing the recovery of activation pathways via Deep Convolutional Sparse Coding
Deep Convolutional Sparse Coding (D-CSC) is a framework reminiscent of d...
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04/24/2018
On the construction of sparse matrices from expander graphs
We revisit the asymptotic analysis of probabilistic construction of adja...
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04/04/2018