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Block Differential Evolution

2023· article· en· W4387005180 on OpenAlex

Why this work is in the frame

A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.

affAt least one author lists a Canadian institution in the pinned OpenAlex snapshot.

Bibliographic record

Venuenot available
Typearticle
Languageen
FieldComputer Science
TopicMetaheuristic Optimization Algorithms Research
Canadian institutionsBrock UniversityOntario Tech University
Fundersnot available
KeywordsComputer scienceBlocking (statistics)Benchmark (surveying)Block (permutation group theory)Dimension (graph theory)Mathematical optimizationOptimization problemDifferential evolutionCrossoverConvergence (economics)HeuristicAlgorithmMathematicsArtificial intelligence

Abstract

fetched live from OpenAlex

In order to solve huge-scale optimization problems, many evolutionary algorithms have been proposed. In this paper, we introduce Block Differential Evolution (BDE) algorithm. The BDE can be categorized into the class of memory-efficient optimization algorithms. The main contribution is to solve large and huge-scale problems effectively and efficiently by reducing the problem dimension by utilizing a dimension-blocking scheme. With respect to the block size times reduced memory usage, furthermore, the proposed algorithm is computationally more efficient because DE operations (i.e., mutation, crossover, and selection) are performed on much smaller vector sizes. In fact, the employed blocking approach helps us to map the higher-dimensional problems into a lower-dimensional one which is more convenient to process during the optimization steps. There is a great demanding potential for the proposed approach to be utilized in embedded systems with low computational resources as a compressed optimization algorithm. This strategy is instantiated and evaluated on some well-known benchmark problems and compared with the baseline classic DE algorithm; the reported results are promising and encouraging for conducting further investigations. To the best of our knowledge, that is the first time a variable blocking scheme has been used in any meta-heuristic algorithm. A detailed explanation of the geometrical behavior of the proposed blocking approach is provided which explains how in a higher search space, a blocking approach is meaningful and applicable to accelerate convergence rate while the memory saving is huge. The reported results in this paper show the experiments on Large-Scale Global Optimization Problems proposed in CEC-2013 benchmark suite with 1,000, 10,000, and 100,000 dimensions and clearly are evidence of the possibility of satisfying two conflicting objectives, namely, efficiency and effectiveness, simultaneously. In order to utilize CEC-2013 benchmark problems for the huge dimensions 10,000D and 100,000D, some modifications and expansions have been done. The proposed approach can be utilized in another population-based optimization algorithm (swarm or evolutionary), and it is not restricted to the DE algorithm. In this paper, DE has been used as a parent algorithm for our conducted case study.

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.

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 categoriesInsufficient payload (model declined to judge)
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Simulation or modeling · Consensus signal: none
GenreCandidate signal: Methods · Consensus signal: none
Teacher disagreement score0.986
Threshold uncertainty score0.998

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0000.000
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.001
Science and technology studies0.0000.000
Scholarly communication0.0000.000
Open science0.0000.000
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0000.002

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 head0.025
GPT teacher head0.286
Teacher spread0.261 · 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