2023 (source code)
= 2023
{scope}
{title2=B6.2}
{title2=A17941W1}
Solutions to all three questions of the <optimisation for data science course of the University of Oxford> Part B examination, sat on 7 June 2023. Source: https://www.whatdotheyknow.com/request/request_for_mathematics_examinat/response/3129786/attach/3/FOI%20202507%20740%20Data.pdf#page=300[original released PDF, bundle pages 300–303; paper pages 1–4]. The original question numbering is retained without reproducing the question statements. Two printing errors on paper page 3 are addressed explicitly in parts 2(c) and 2(f).
Unless a subscript indicates the <L1 norm>, $\|\cdot\|$ denotes the <Euclidean norm>. In Question 1, the <regularization> weight is $\lambda\geq0$ and the <step size> is positive. The <big O notation> in part 1(d) is interpreted for fixed $x$ as the <step size> tends to zero, with the necessary <subdifferential> qualification explained there.
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