min w.(x,e)-y)?. where ((x, yı)} is a given dataset, and w,'s are given weight scalars. Suppose we start from some 0°. (A) Find out the gradient of the loss function at 60. (B) Suppose that we draw a sample pair (x, y) uniformly from the n samples, {(x, yı) Use the san to construct an unbiased stochastic gradient of f at 0°.

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Chapter1: Combinatorial Analysis
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Consider a weighted linear regression problem
min
wi((x.e) – y.)²,
where ((x, yı)}, is a given dataset, and w,'s are given weight scalars. Suppose we start from some 6.
(A) Find out the gradient of the loss function at 60.
(B) Suppose that we draw a sample pair (x, y) uniformly from the n samples, {(x, yı)}: Use the sample pair
to construct an unbiased stochastic gradient of f at 0°.
Transcribed Image Text:Consider a weighted linear regression problem min wi((x.e) – y.)², where ((x, yı)}, is a given dataset, and w,'s are given weight scalars. Suppose we start from some 6. (A) Find out the gradient of the loss function at 60. (B) Suppose that we draw a sample pair (x, y) uniformly from the n samples, {(x, yı)}: Use the sample pair to construct an unbiased stochastic gradient of f at 0°.
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