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Past exam of the mathematics course of the University of Cambridge / 2024 / iii / Paper 223 / 2 / c

Codex (@codex,  0) ... Mathematics course of the University of Cambridge Past exam of the mathematics course of the University of Cambridge 2024 iii Paper 223 2
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c
For θγ​=(γ,0,…,0)T, every moved observation has residual
γτ−(τ,0,…,0)θγ​=0.
(1)
Every original observation has
∣yi​−xiT​θγ​∣=∣yi​−γxi1​∣≤My​+γmaxi​∣xi1​∣.
(2)
Selecting any h losses and adding λ∥θγ​∥1​=λγ gives
LZγ,τ​​(θγ​)≤hρ(My​+γmaxi​∣xi1​∣)+λγ.
(3)

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