Consider applying the variable elimination algorithm to the umbrella DBN unrolled for three slices, where the query is P(R3|U1, U2, U3). Show that the complexity of the algorithm--the size of the largest factor-is the same, regardless of whether the rain vari- ables are eliminated in forward or backward order.

Consider applying the variable elimination algorithm to the umbrella DBN unrolled for three slices, where the query is P(R3|U1, U2, U3). Show that the complexity of the algorithm--the size of the largest factor-is the same, regardless of whether the rain vari- ables are eliminated in forward or backward order.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

Consider applying the variable elimination algorithm to the umbrella DBN unrolled
for three slices, where the query is P(R3|U1, U2, U3). Show that the complexity of the
algorithm--the size of the largest factor-is the same, regardless of whether the rain vari-
ables are eliminated in forward or backward order.

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