Sarayut SSO

Figure Caption Figure 1. Mathematical Framework of the Semantic Stability Operator (SSO) in Sarayut-HQCNN. This infographic illustrates the mathematical principles and operational workflow of the Semantic Stability Operator (SSO), a semantic robustness mechanism integrated into the Sarayut-HQCNN (Hybrid Quantum–Classical Neural Network) architecture. SSO evaluates the stability of semantic representations under small perturbations by estimating the Semantic Sigma (Σₛₛₒ) through Monte Carlo sampling. A lower Σₛₛₒ value indicates stronger semantic consistency and greater resistance to semantic collapse. The framework further constructs an SSO Semantic Stability Vector (zₛₛₒ) from statistical descriptors of semantic drift, including the mean, standard deviation, maximum, minimum, entropy, and spectral radius. These descriptors collectively characterize the robustness of latent semantic representations. Decision making is governed by the SSO Triple Guard, which combines three complementary criteria: Confidence Guard, Stability Guard (Σₛₛₒ), and Margin Guard. A prediction is accepted only when all predefined thresholds are simultaneously satisfied, thereby improving reliability under noisy or uncertain conditions. The lower section summarizes the theoretical foundations of SSO, including robustness theory, Fisher Information Matrix (FIM) regularization, quantum geometry, and information theory, and demonstrates how SSO is integrated into the Sarayut-HQCNN inference pipeline to enhance semantic robustness, explainability, and trustworthy AI decision-making.

ความคิดเห็น

โพสต์ยอดนิยมจากบล็อกนี้

Sarayut-HQCNN: A Hybrid Quantum–Classical Neural Network with Semantic Stability Operator for Robust Classification Under Noise

Sarayut-HQCNN 2026