MétaCan
Menu
Back to cohort
Record W2168975199 · doi:10.5555/1898699.1898769

Optimal map construction of an unknown torus

2006· article· en· W2168975199 on OpenAlexaff
Hanane Becha, Paola Flocchini

Bibliographic record

Venuenot available
Typearticle
Languageen
FieldComputer Science
TopicOptimization and Search Problems
Canadian institutionsUniversity of Ottawa
Fundersnot available
KeywordsTorusSecurity tokenNode (physics)Enhanced Data Rates for GSM EvolutionComputer scienceMulti-agent systemMathematicsAlgorithmCombinatoricsTopology (electrical circuits)Discrete mathematicsArtificial intelligenceGeometryComputer networkPhysics

Abstract

fetched live from OpenAlex

In this paper we consider the map construction prob-lem in the case of an anonymous, unoriented torus of unknown size. An agent that can move from node to neighbouring node in the torus is initially placed in an arbitrary node and has to construct an edge-labeled map. In other words, it has to draw, in its local mem-ory, an edge-labeled torus isomorphic to the one it is moving on. The agent has enough local memory to represent the torus and one or two tokens that can be dropped on and picked up from nodes. Efficiency is measured in terms of number of moves performed by the agent. When the agent has no token available, the problem is clearly unsolvable. In the paper we show that, when the agent has one token available there exists an opti-mal algorithm for constructing the map of the torus; the agent, in fact, performs Θ(N) moves (where N is the number of nodes of the torus). Before showing the optimal solution with the optimal number of tokens, we describe a simpler solution that works when two to-kens are available, we then modify it to obtain the same bound when the agent has only one token available.

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

How this classification was reachedexpand

Full frame machine prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.

metaresearch head score (Codex)0.001
metaresearch head score (Gemma)0.003
Version: metacan-v3-hybrid-931329e0061cValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Theoretical or conceptual · Consensus signal: none
GenreCandidate signal: Empirical · Consensus signal: none
Teacher disagreement score0.004
Threshold uncertainty score0.015

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0010.003
Meta-epidemiology (narrow)0.0010.000
Meta-epidemiology (broad)0.0010.001
Bibliometrics0.0000.001
Science and technology studies0.0010.001
Scholarly communication0.0010.003
Open science0.0010.002
Research integrity0.0010.001
Insufficient payload (model declined to judge)0.0040.001

Machine scores (provisional)

The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.

Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.

Opus teacher head0.009
GPT teacher head0.236
Teacher spread0.227 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it

Classification

machine, unvalidated

Machine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.

The models applied no category: nothing in the taxonomy fit this work.
Study designTheoretical or conceptual
Domainnot available
GenreEmpirical

How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".

Quick stats

Citations1
Published2006
Admission routes1
Has abstractyes

Explore more

Same topicOptimization and Search ProblemsFrench-language works237,207