Unit 4: Probability and Planning

Optimizing a Search

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Session Overview

Illustration of the Manhattan distance.

In the last session, we introduced the concept of search. We looked at the 6.01 implementation of a general search algorithm, addressed issues of common sense and dynamic programming, and localized a robot.

In this session, we focus on improving search. We can systematically use information we have about the state space we’re searching, in order to save us time and space.

The overview handout provides a more detailed introduction, including the big ideas of the session, key vocabulary, what you should understand (theory) and be able to do (practice) after completing this session, and additional resources.

Session Content

Readings

Read sections 8.5-8.6 of the course notes.

Lecture Video

Watch the lecture video. The handout and slides present the same material, but the slides include answers to the in-class questions.

About this Video

Uniform cost search takes into account the cost associated with an action, and can be implemented with a priority queue. Heuristics estimate the cost of the remaining path to the goal; the Manhattan distance is an example of an admissible heuristic.

Recitation Video

These videos have been developed for OCW Scholar, and are designed to supplement the lecture videos.

Session Activities

The problems in the tables below are taken from the 6.01 Online Tutor, an interactive environment that is not available on OCW. Do not try to answer these questions in the PDF files; answers will not be checked, and cannot be submitted.

Software Lab

PROBLEM # QUESTIONS
14.1.1 Modeling the world (PDF)
14.1.2 Robot on a grid map (PDF)

Design Lab

PROBLEM # QUESTIONS
14.2.3 Aliasing instances (PDF)
14.2.6 Robot race results [optional] (PDF)

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