Structure·Centric ML
Field Note No. 07  ·  Structure-Centric ML
arXiv: 2605.16320 & 2603.13339  ·  A. Elmahdi, PhD
Priority establishment, IP protection, and the published record.

Publications & patents.

Four patent applications. Two arXiv preprints. Two papers in preparation. The IP foundation under the structure-centric paradigm is being built deliberately, with priority dates established before public disclosure of implementation details.

Four filings, six independent claims.

TitleStatusFiling
AdaBox — structure-centric clustering algorithm and scale-invariant parameter formulationFiledJanuary 2026
SCOPE — decomposable evaluation framework for density-based clusteringFiledJanuary 2026
AdaGraph — native high-dimensional clustering, including SLCD pipeline, Density-Aware Sampler, two-pass prototype deployment, and subspace probe (six independent claims plus 22 dependent)FiledMay 2026
Graph-SCOPE — unsupervised decomposable validity metric for high-dimensional clusteringFiledMay 2026

The AdaGraph filing alone protects six distinct inventive concepts as independent claims: the core AdaGraph algorithm, the scale-invariant parameter formulation, the Density-Aware Sampler, the two-pass prototype deployment method, the subspace probe for automatic dimensionality assessment, and the complete SLCD pipeline. Each is independently licensable.

Public record on arXiv.

arXiv:2605.16320  PRIMARY REFERENCE

AdaGraph and the Structure-Centric Machine Learning Paradigm

The canonical reference for the structure-centric paradigm. This paper formally introduces SC-ML as a unified framework, presents AdaGraph — the native high-dimensional clustering algorithm operating in 100–5,000+ dimensional spaces without dimensionality reduction — and establishes the full technical foundations of the paradigm across text, cancer genomics, and materials science. This is the paper to cite when referencing Structure-Centric Machine Learning.

View on arXiv →

arXiv:2603.13339  FOUNDATIONAL PREPRINT

Structure-Centric Density-Based Clustering with Scale-Invariant Parameters

The priority-establishing preprint for the AdaBox algorithm and the SCOPE evaluation framework — the foundational low-dimensional building blocks of the SC-ML stack. Filed before full disclosure to establish IP priority. AdaGraph (arXiv:2605.16320) supersedes this as the primary paradigm reference.

View on arXiv →

Two papers on track.

PAPER 01

Graph-SCOPE: A Decomposable Unsupervised Validity Metric for High-Dimensional Clustering

Mathematical formulation of the five-component decomposition; benchmark against Silhouette, Davies-Bouldin, Calinski-Harabasz across 10 synthetic and 5 real-world datasets; dimensionality scaling proof. Target venue: NeurIPS 2027.

PAPER 02

Smoking-Specific Gene Co-Expression Modules in Lung Adenocarcinoma via Native-Dimension Clustering

The C6 module discovery on GSE31210, literature validation of all 44 genes, and laboratory validation of the highest-priority candidates. Co-authored with cancer genomics laboratory. Target venue: a leading genomics or oncology journal.