Search Results - "Roach, Mark Philip"

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    On outer bi-Lipschitz extensions of linear Johnson-Lindenstrauss embeddings of subsets of RN by Chiclana, Rafael, Iwen, Mark A., Roach, Mark Philip

    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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    Journal Article
  3. 3

    Advances in Near-Field to Blind Far-Field Ptychography, and Compressed Classification from Phaseless Measurements by Roach, Mark Philip

    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
  4. 4

    Blind Ptychography via Blind Deconvolution by Roach, Mark Philip

    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
  5. 5

    On Outer Bi-Lipschitz Extensions of Linear Johnson-Lindenstrauss Embeddings of Subsets of $\mathbb{R}^N by Chiclana, Rafael, Iwen, Mark A, Roach, Mark Philip

    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
  6. 6

    On Outer Bi-Lipschitz Extensions of Linear Johnson-Lindenstrauss Embeddings of Low-Dimensional Submanifolds of $\mathbb{R}^N by Iwen, Mark A, Roach, Mark Philip

    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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    Journal Article
  7. 7

    Toward Fast and Provably Accurate Near-field Ptychographic Phase Retrieval by Iwen, Mark, Perlmutter, Michael, Roach, Mark Philip

    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