Search Results - "Roach, Mark Philip"
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On outer bi-Lipschitz extensions of linear Johnson-Lindenstrauss embeddings of subsets of $$\mathbb {R}^N
Published in Numerische Mathematik (01-12-2024)Get full text
Journal Article -
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On outer bi-Lipschitz extensions of linear Johnson-Lindenstrauss embeddings of subsets of RN
Published in Numerische Mathematik (2024)“…The celebrated Johnson-Lindenstrauss lemma states that for all ε ∈ ( 0 , 1 ) and finite sets X ⊆ R N with n > 1 elements, there exists a matrix Φ ∈ R m × N…”
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Advances in Near-Field to Blind Far-Field Ptychography, and Compressed Classification from Phaseless Measurements
Published 01-01-2023“…Chapter 1 initially concerns the introduction of Fourier Phase Retrieval. In many imaging systems, one can only measure the magnitude-square of the Fourier…”
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Dissertation -
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Blind Ptychography via Blind Deconvolution
Published 06-05-2023“…Ptychography involves a sample being illuminated by a coherent, localised probe of illumination. When the probe interacts with the sample, the light is…”
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Journal Article -
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On Outer Bi-Lipschitz Extensions of Linear Johnson-Lindenstrauss Embeddings of Subsets of $\mathbb{R}^N
Published 06-03-2024“…The celebrated Johnson-Lindenstrauss lemma states that for all $\varepsilon \in (0,1)$ and finite sets $X \subseteq \mathbb{R}^N$ with $n>1$ elements, there…”
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Journal Article -
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On Outer Bi-Lipschitz Extensions of Linear Johnson-Lindenstrauss Embeddings of Low-Dimensional Submanifolds of $\mathbb{R}^N
Published 07-06-2022“…Let $\mathcal{M}$ be a compact $d$-dimensional submanifold of $\mathbb{R}^N$ with reach $\tau$ and volume $V_{\mathcal M}$. Fix $\epsilon \in (0,1)$. In this…”
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Toward Fast and Provably Accurate Near-field Ptychographic Phase Retrieval
Published 20-12-2021“…Ptychography is an imaging technique which involves a sample being illuminated by a coherent, localized probe of illumination. When the probe interacts with…”
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Journal Article