Evidence map›Paper›PMID 41617807›Full record

ArticleScientific reports2026

Secant Optimization Algorithm for efficient global optimization.

Mohammed Q Ibrahim, Mohammed Qaraad, Nazar K Hussein, M A Farag, David Guinovart

Abstract read
In one paragraph

Article in Scientific reports, 2026. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 9 papers.

0numbers the graph read from it
0cells of the map it votes in
9citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

9 citing papers in PubMed.

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4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

5 authors.

Mohammed Q IbrahimDepartment of Mathematics, College of Computer Sciences and Mathematics, Tikrit University, Tikrit, 34001, Iraq.
Mohammed QaraadDepartment of Information Technology, College of Engineering and Information Technology, University of Amran, Amran, Yemen. mo.qaraad@amu.edu.ye.ORCID http://orcid.org/0009-0003-6510-4900
Nazar K HusseinDepartment of Mathematics, College of Computer Sciences and Mathematics, Tikrit University, Tikrit, 34001, Iraq.ORCID http://orcid.org/0000-0003-4295-581X
M A FaragDepartment of Basic Engineering Science, Faculty of Engineering, Menoufia University, Shebin El- Kom, 4470351, Egypt.
David GuinovartThe Hormel Institute, University of Minnesota, 801 16th Ave NE, Austin, MN, 55912, USA.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

This paper presents the Secant Optimization Algorithm (SOA), a novel mathematics-inspired metaheuristic derived from the Secant Method. SOA enhances search efficiency by repeating vector updates using local information and derivative approximations in two steps: secant-based updates for enabling guided convergence and stochastic sampling with an expansion factor for enabling global search and escaping local optima. The algorithm’s performance was verified on a set of benchmark functions, from low- to high-dimensional nonlinear optimization problems, such as the CEC2021 and CEC2020 test suites. In addition, SOA was used for solving real-world applications, such as convolutional neural network hyperparameter tuning on four datasets: MNIST, MNIST-RD, Convex, and Rectangle-I, and parameter estimation of photovoltaic (PV) systems. The competitive performance of SOA, in the form of high convergence rates and higher solution accuracy, is confirmed using comparison analyses with leading algorithms within the field. Moreover, statistical tests and convergence trajectories confirm SOA’s robustness and flexibility, rendering it an effective tool in resolving challenging machine learning and engineering optimization complications. The source code is available at https://github.com/MohammedQaraad/SOA .

Indexed as

CNN hyperparameters optimizationEngineering applicationsGlobal optimizationMathematics based metaheuristicsPhotovoltaic (PV) systemsSecant Optimization Algorithm (SOA)

Identifiers

PMID41617807
PMCPMC12914007

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Registered trials

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.