Q Aep Cxg I. I q x2 i 4 2 10/34 Warmup Useful properties of proximal operator I If fis closed and convex then prox f exists and is unique for all x I seperable sum if f(x) = P N i=1 f i(x i), then (prox f(x)) i= prox f i (x) I fixed point the point x∗minimizes fif and only if x∗is a fixed point x∗= prox f(x ∗) I scaling and translation define h(x) = f(tx b) with t6= 0 prox h(x) = 1. Even if you didn’t follow that algebra, you should be able to describe S – I = X – M in everyday language In other words, what basic, key relationship does this express a relationship that I’ve mentioned almost every day we’ve met since September 30 th?.
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Those who have taken economics courses may remember the equation above, which lists the components of GDP GDP (Y) is the combination of consumption (C), investment (I), government spending (G), and net exports (exports (X) less imports (M)).
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