Discussion
Match each inference task with what it computes.
List I
A. Filtering
B. Smoothing
C. Prediction
D. Most likely explanation
List II
P. the current state given evidence so far
Q. a past state given later evidence
R. a future state given evidence so far
S. the best sequence of states overall
Select the correct match.
Answer: C
The four tasks differ in which state is queried and which evidence is available, and each has its own algorithm. Filtering runs online while smoothing requires the whole record, which determines which an application may use. Naming the task precisely before choosing an algorithm avoids implementing the wrong one, which is easy when the four are described loosely as tracking.
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