• Skip to main content
  • Skip to primary sidebar
AAAI

AAAI

Association for the Advancement of Artificial Intelligence

    • AAAI

      AAAI

      Association for the Advancement of Artificial Intelligence

  • About AAAIAbout AAAI
    • AAAI Officers and Committees
    • AAAI Staff
    • Bylaws of AAAI
    • AAAI Awards
      • Fellows Program
      • Classic Paper Award
      • Dissertation Award
      • Distinguished Service Award
      • Allen Newell Award
      • Outstanding Paper Award
      • Award for Artificial Intelligence for the Benefit of Humanity
      • Feigenbaum Prize
      • Patrick Henry Winston Outstanding Educator Award
      • Engelmore Award
      • AAAI ISEF Awards
      • Senior Member Status
      • Conference Awards
    • AAAI Resources
    • AAAI Mailing Lists
    • Past AAAI Presidential Addresses
    • Presidential Panel on Long-Term AI Futures
    • Past AAAI Policy Reports
      • A Report to ARPA on Twenty-First Century Intelligent Systems
      • The Role of Intelligent Systems in the National Information Infrastructure
    • AAAI Logos
    • News
  • aaai-icon_ethics-diversity-line-yellowEthics & Diversity
  • Conference talk bubbleConferences & Symposia
    • AAAI Conference
    • AIES AAAI/ACM
    • AIIDE
    • IAAI
    • ICWSM
    • HCOMP
    • Spring Symposia
    • Summer Symposia
    • Fall Symposia
    • Code of Conduct for Conferences and Events
  • PublicationsPublications
    • AAAI Press
    • AI Magazine
    • Conference Proceedings
    • AAAI Publication Policies & Guidelines
    • Request to Reproduce Copyrighted Materials
  • aaai-icon_ai-magazine-line-yellowAI Magazine
    • Issues and Articles
    • Author Guidelines
    • Editorial Focus
  • MembershipMembership
    • Member Login
    • Developing Country List
    • AAAI Chapter Program

  • Career CenterCareer Center
  • aaai-icon_ai-topics-line-yellowAITopics
  • aaai-icon_contact-line-yellowContact

Home / Proceedings / Proceedings of the AAAI Conference on Artificial Intelligence, 28 / No. 1: Twenty-Eighth AAAI Conference On Artificial Intelligence

Worst-Case Solution Quality Analysis When Not Re-Expanding Nodes in Best-First Search

March 8, 2023

Download PDF

Authors

Richard Valenzano

University of Alberta


Nathan Sturtevant

University of Denver


Jonathan Schaeffer

University of Alberta


DOI:

10.1609/aaai.v28i1.8850


Abstract:

The use of inconsistent heuristics with A* can result in increased runtime due to the need to re-expand nodes. Poor performance can also be seen with Weighted A* if nodes are re-expanded. While the negative impact of re-expansions can often be minimized by setting these algorithms to never expand nodes more than once, the result can be a lower solution quality. In this paper, we formally show that the loss in solution quality can be bounded based on the amount of inconsistency along optimal solution paths. This bound holds regardless of whether the heuristic is admissible or inadmissible, though if the heuristic is admissible the bound can be used to show that not re-expanding nodes can have at most a quadratic impact on the quality of solutions found when using A*. We then show that the bound is tight by describing a process for the construction of graphs for which a best-first search that does not re-expand nodes will find solutions whose quality is arbitrarily close to that given by the bound. Finally, we will use the bound to extend a known result regarding the solution quality of WA* when weighting a consistent heuristic, so that it also applies to other types of heuristic weighting.

Topics: AAAI

Primary Sidebar

HOW TO CITE:

Richard Valenzano|| Nathan Sturtevant|| Jonathan Schaeffer Worst-Case Solution Quality Analysis When Not Re-Expanding Nodes in Best-First Search Proceedings of the AAAI Conference on Artificial Intelligence, 28 (2014) .

Richard Valenzano|| Nathan Sturtevant|| Jonathan Schaeffer Worst-Case Solution Quality Analysis When Not Re-Expanding Nodes in Best-First Search AAAI 2014, .

Richard Valenzano|| Nathan Sturtevant|| Jonathan Schaeffer (2014). Worst-Case Solution Quality Analysis When Not Re-Expanding Nodes in Best-First Search. Proceedings of the AAAI Conference on Artificial Intelligence, 28, .

Richard Valenzano|| Nathan Sturtevant|| Jonathan Schaeffer. Worst-Case Solution Quality Analysis When Not Re-Expanding Nodes in Best-First Search. Proceedings of the AAAI Conference on Artificial Intelligence, 28 2014 p..

Richard Valenzano|| Nathan Sturtevant|| Jonathan Schaeffer. 2014. Worst-Case Solution Quality Analysis When Not Re-Expanding Nodes in Best-First Search. "Proceedings of the AAAI Conference on Artificial Intelligence, 28". .

Richard Valenzano|| Nathan Sturtevant|| Jonathan Schaeffer. (2014) "Worst-Case Solution Quality Analysis When Not Re-Expanding Nodes in Best-First Search", Proceedings of the AAAI Conference on Artificial Intelligence, 28, p.

Richard Valenzano|| Nathan Sturtevant|| Jonathan Schaeffer, "Worst-Case Solution Quality Analysis When Not Re-Expanding Nodes in Best-First Search", AAAI, p., 2014.

Richard Valenzano|| Nathan Sturtevant|| Jonathan Schaeffer. "Worst-Case Solution Quality Analysis When Not Re-Expanding Nodes in Best-First Search". Proceedings of the AAAI Conference on Artificial Intelligence, 28, 2014, p..

Richard Valenzano|| Nathan Sturtevant|| Jonathan Schaeffer. "Worst-Case Solution Quality Analysis When Not Re-Expanding Nodes in Best-First Search". Proceedings of the AAAI Conference on Artificial Intelligence, 28, (2014): .

Richard Valenzano|| Nathan Sturtevant|| Jonathan Schaeffer. Worst-Case Solution Quality Analysis When Not Re-Expanding Nodes in Best-First Search. AAAI[Internet]. 2014[cited 2023]; .


ISSN: 2374-3468


Published by AAAI Press, Palo Alto, California USA
Copyright 2022, Association for the Advancement of
Artificial Intelligence 1900 Embarcadero Road, Suite
101, Palo Alto, California 94303 All Rights Reserved

We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. By clicking “Accept All”, you consent to the use of ALL the cookies. However, you may visit "Cookie Settings" to provide a controlled consent.
Cookie SettingsAccept All
Manage consent

Privacy Overview

This website uses cookies to improve your experience while you navigate through the website. Out of these, the cookies that are categorized as necessary are stored on your browser as they are essential for the working of basic functionalities of the website. We also use third-party cookies that help us analyze and understand how you use this website. These cookies will be stored in your browser only with your consent. You also have the option to opt-out of these cookies. But opting out of some of these cookies may affect your browsing experience.
Necessary
Always Enabled
Necessary cookies are absolutely essential for the website to function properly. These cookies ensure basic functionalities and security features of the website, anonymously.
CookieDurationDescription
cookielawinfo-checkbox-analytics11 monthsThis cookie is set by GDPR Cookie Consent plugin. The cookie is used to store the user consent for the cookies in the category "Analytics".
cookielawinfo-checkbox-functional11 monthsThe cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional".
cookielawinfo-checkbox-necessary11 monthsThis cookie is set by GDPR Cookie Consent plugin. The cookies is used to store the user consent for the cookies in the category "Necessary".
cookielawinfo-checkbox-others11 monthsThis cookie is set by GDPR Cookie Consent plugin. The cookie is used to store the user consent for the cookies in the category "Other.
cookielawinfo-checkbox-performance11 monthsThis cookie is set by GDPR Cookie Consent plugin. The cookie is used to store the user consent for the cookies in the category "Performance".
viewed_cookie_policy11 monthsThe cookie is set by the GDPR Cookie Consent plugin and is used to store whether or not user has consented to the use of cookies. It does not store any personal data.
Functional
Functional cookies help to perform certain functionalities like sharing the content of the website on social media platforms, collect feedbacks, and other third-party features.
Performance
Performance cookies are used to understand and analyze the key performance indexes of the website which helps in delivering a better user experience for the visitors.
Analytics
Analytical cookies are used to understand how visitors interact with the website. These cookies help provide information on metrics the number of visitors, bounce rate, traffic source, etc.
Advertisement
Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. These cookies track visitors across websites and collect information to provide customized ads.
Others
Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet.
SAVE & ACCEPT