2 code implementations • 2 Feb 2024 • Matthew A. Price, Alicja Polanska, Jessica Whitney, Jason D. McEwen
We observe up to a $300$-fold and $21800$-fold acceleration for signals on the sphere and ball, respectively, compared to existing software, whilst maintaining 64-bit machine precision.
1 code implementation • 30 Nov 2023 • Tobías I. Liaudat, Matthijs Mars, Matthew A. Price, Marcelo Pereyra, Marta M. Betcke, Jason D. McEwen
This work proposes a method coined QuantifAI to address UQ in radio-interferometric imaging with data-driven (learned) priors for high-dimensional settings.
1 code implementation • 24 Nov 2023 • Matthew A. Price, Jason D. McEwen
We develop novel algorithmic structures for accelerated and differentiable computation of generalised Fourier transforms on the sphere $\mathbb{S}^2$ and rotation group $\text{SO}(3)$, i. e. spherical harmonic and Wigner transforms, respectively.
1 code implementation • 30 Jun 2023 • Jason D. McEwen, Tobías I. Liaudat, Matthew A. Price, Xiaohao Cai, Marcelo Pereyra
Proximal nested sampling was introduced recently to open up Bayesian model selection for high-dimensional problems such as computational imaging.
1 code implementation • 30 Jun 2023 • Alicja Polanska, Matthew A. Price, Alessio Spurio Mancini, Jason D. McEwen
The learned harmonic mean estimator solves the exploding variance problem of the original harmonic mean estimation of the marginal likelihood.
no code implementations • 27 Sep 2022 • Jeremy Ocampo, Matthew A. Price, Jason D. McEwen
For 4k spherical images we realize a saving of $10^9$ in computational cost and $10^4$ in memory usage when compared to the most efficient alternative equivariant spherical convolution.
1 code implementation • ICLR 2021 • Oliver J. Cobb, Christopher G. R. Wallis, Augustine N. Mavor-Parker, Augustin Marignier, Matthew A. Price, Mayeul d'Avezac, Jason D. McEwen
We develop two new strictly equivariant layers with reduced complexity $\mathcal{O}(CL^4)$ and $\mathcal{O}(CL^3 \log L)$, making larger, more expressive models computationally feasible.
no code implementations • 6 Oct 2015 • Jason D. McEwen, Matthew A. Price
The restriction to antipodal signals is expected since the spherical Radon and ridgelet transforms themselves result in signals that exhibit antipodal symmetry.
Information Theory Information Theory