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Record W2125804107 · doi:10.1109/robot.2002.1014423

Resistors, Markov chains and dynamic path planning

2003· article· en· W2125804107 on OpenAlexafffund
John Zelek

Bibliographic record

Venuenot available
Typearticle
Languageen
FieldComputer Science
TopicRobotic Path Planning Algorithms
Canadian institutionsUniversity of Guelph
FundersNatural Sciences and Engineering Research Council of Canada
KeywordsMarkov chainComputer scienceConvergence (economics)Sampling (signal processing)Motion planningMathematical optimizationExponential functionTotal harmonic distortionResistorTree (set theory)HarmonicMarkov processHeuristicGridAlgorithmMathematicsArtificial intelligenceEngineeringTelecommunicationsMachine learningStatistics

Abstract

fetched live from OpenAlex

Dynamic planning involves continuously updating a map by sensing changes in the environment and planning appropriate actions, with all tasks sharing common computational resources. We use harmonic functions for dynamic planning. Analogous representations of harmonic functions as Markov chains and resistor networks are used to develop the notion of escape probability and energy dissipation. These measures are used to indicate convergence (event that permits resources to be devote to non-planning tasks) more robustly than monitoring maximum or average field changes between iterations. The convergence of the harmonic function is related quadratically to the number of grid elements. An example of an irregular sampling strategy - quad tree - is developed for harmonic functions, which is complete yet imprecise. Quad trees are not a sufficient sampling strategy for addressing the exponential growth of multiple dimensions and therefore current investigations include other sampling strategies or dimensional parallelization.

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 distilled prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.

metaresearch head score (Codex)0.000
metaresearch head score (Gemma)0.000
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Simulation or modeling · Consensus signal: none
GenreCandidate signal: Methods · Consensus signal: Methods
Teacher disagreement score0.926
Threshold uncertainty score0.432

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0000.000
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.000
Science and technology studies0.0000.000
Scholarly communication0.0000.000
Open science0.0000.000
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0000.000

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 head0.012
GPT teacher head0.243
Teacher spread0.231 · 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 teacher head, not a consensus.

The models applied no category: nothing in the taxonomy fit this work.
Study designSimulation or modeling
Domainnot available
GenreMethods

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

Citations2
Published2003
Admission routes2
Has abstractyes

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