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中文题目Consider a Markov chain on $\{1, 2, 3, 4, 5\}$ with transition matrix $$P = \begin{pmatrix} \tfrac{1}{2} & \tfrac{1}{2} & 0 & 0 & 0 \\ \tfrac{1}{3} & 0 & \tfrac{2}{3} & 0 & 0 \\ 0 & \tfrac{1}{4} & 0 & \tfrac{1}{2} & \tfrac{1}{4} \\ 0 & 0 & 0 & \tfrac{1}{2} & \tfrac{1}{2} \\ 0 & 0
打开 →Five labeled tasks are assigned to three labeled desks A, B, and C. Task 1 is forced to desk A. How many assignments use all three desks at least once?
打开 →A process tags each alert by one of 3 weekday classes and one of 5 last-digit classes. Show that among 16 alerts, two must share both tags.
打开 →A 5-class model uses label smoothing with epsilon distributed uniformly across all classes. If epsilon rises from 0.1 to 0.3, by how much does the true-class target change?
打开 →A 4-class classifier uses label smoothing with epsilon = 0.2, distributing epsilon uniformly across all 4 classes including the true class. If class 3 is the correct label, what smoothed target vector do you train on?
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