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Main Authors: Platnick, Daniel, Tomasz, Dawson, Earl, Eamon, Khanzadeh, Sourena, Valenzano, Richard
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2511.09549
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author Platnick, Daniel
Tomasz, Dawson
Earl, Eamon
Khanzadeh, Sourena
Valenzano, Richard
author_facet Platnick, Daniel
Tomasz, Dawson
Earl, Eamon
Khanzadeh, Sourena
Valenzano, Richard
contents Greedy search methods like Greedy Best-First Search (GBFS) and Enforced Hill-Climbing (EHC) often struggle when faced with Uninformed Heuristic Regions (UHRs) like heuristic local minima or plateaus. In this work, we theoretically and empirically compare two popular methods for escaping UHRs in breadth-first search (BrFS) and restarting random walks (RRWs). We first derive the expected runtime of escaping a UHR using BrFS and RRWs, based on properties of the UHR and the random walk procedure, and then use these results to identify when RRWs will be faster in expectation than BrFS. We then evaluate these methods for escaping UHRs by comparing standard EHC, which uses BrFS to escape UHRs, to variants of EHC called EHC-RRW, which use RRWs for that purpose. EHC-RRW is shown to have strong expected runtime guarantees in cases where EHC has previously been shown to be effective. We also run experiments with these approaches on PDDL planning benchmarks to better understand their relative effectiveness for escaping UHRs.
format Preprint
id arxiv_https___arxiv_org_abs_2511_09549
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Breadth-First Search vs. Restarting Random Walks for Escaping Uninformed Heuristic Regions
Platnick, Daniel
Tomasz, Dawson
Earl, Eamon
Khanzadeh, Sourena
Valenzano, Richard
Artificial Intelligence
Greedy search methods like Greedy Best-First Search (GBFS) and Enforced Hill-Climbing (EHC) often struggle when faced with Uninformed Heuristic Regions (UHRs) like heuristic local minima or plateaus. In this work, we theoretically and empirically compare two popular methods for escaping UHRs in breadth-first search (BrFS) and restarting random walks (RRWs). We first derive the expected runtime of escaping a UHR using BrFS and RRWs, based on properties of the UHR and the random walk procedure, and then use these results to identify when RRWs will be faster in expectation than BrFS. We then evaluate these methods for escaping UHRs by comparing standard EHC, which uses BrFS to escape UHRs, to variants of EHC called EHC-RRW, which use RRWs for that purpose. EHC-RRW is shown to have strong expected runtime guarantees in cases where EHC has previously been shown to be effective. We also run experiments with these approaches on PDDL planning benchmarks to better understand their relative effectiveness for escaping UHRs.
title Breadth-First Search vs. Restarting Random Walks for Escaping Uninformed Heuristic Regions
topic Artificial Intelligence
url https://arxiv.org/abs/2511.09549