发表机构
Zhongshan Hospital, Fudan University; Shanghai Institute of Cardiovascular Diseases; State Key Laboratory of Cardiovascular Diseases; NHC Key Laboratory of Ischemic Heart Diseases; National Clinical Research Center for Interventional Medicine; Key Laboratory of Viral Heart Diseases, Chinese Academy of Medical Sciences; Institutes of Biomedical Sciences, Fudan University; College of Biomedical Engineering, Fudan University; Shidong Hospital（复旦大学中山医院; 上海市心血管病研究所; 心血管疾病国家重点实验室; 国家卫生健康委缺血性心脏病重点实验室; 国家介入医学临床研究中心; 中国医学科学院病毒性心脏病重点实验室; 复旦大学生物医学研究院; 复旦大学生物医学工程学院; 上海市市东医院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究针对合成血管预测表征，提出干预锚点与科学验证方法，通过多维度实验验证了预测等价性、故障特性及弃权机制的有效性，实现了预测与科学接受的可执行分离。
AI 中文摘要
完全正交的预测坐标本身无法将潜在方向与命名干预绑定。我们开展了一项受血管器械-血管适配性启发的数学与合成审计。容量匹配的最小二乘预测器在完全固定输出变换下完全等价，而仅含锚点的观测器仅能在已知扰动特征的范围内恢复解释。64个随机种子下的6种三维配置，得到的最大配对预测差异为6.7e-15，但未传输的编辑误差中位数为1.513，坐标传输可消除该误差。噪声与弱锚点会限制校准稳定性，改变表征基需重新校准或经验证的传输。在维度3至24的额外256次拟合中，预测等价性在4.0e-15内持续存在。随后我们在64个随机种子下评估9类可运行故障，576次故障执行均完成，但均违反至少一项重建、预测、交付编辑或范围约定；320条有效控制记录全部通过。重复故障实现虽与单独计算的模拟器预期存在误差，但自身达成完全一致。对于某一缺失方向缺陷，探针覆盖遵循其解析规律，且感知秩的弃权（不执行）机制保护了无支撑的解释。标量噪声实验暴露了窄相对容差下的漏检弱故障与过度拒绝问题。这些控制措施可实现预测、语义支持与科学接受的可执行分离，属于合成数值审计，而非临床验证、神经JEPA-Anything复现、智能体学习或患者治疗效果估计。
英文摘要
Complete orthogonal predictive coordinates do not by themselves bind a latent direction to a named intervention. We present a mathematical and synthetic audit motivated by vascular device-vessel suitcordance. Capacity-matched least-squares predictors were exactly equivalent under complete fixed output transforms, whereas an anchor-only observer recovered interpretations only within the span of known perturbation signatures. Six three-dimensional configurations across 64 seeds gave a maximum paired prediction discrepancy of 6.7e-15 but a median untransported edit error of 1.513. Coordinate transport removed that error. Noisy and weak anchors constrained calibration stability, and changing the representation basis required recalibration or verified transport. Across 256 additional fits in dimensions 3-24, prediction equivalence persisted within 4.0e-15. We then evaluated nine deliberate runnable fault classes across 64 seeds. All 576 faulty executions completed, but each violated at least one reconstruction, prediction, delivered-edit or scope contract; all 320 valid control records passed. Repeating a faulty implementation gave exact self-agreement despite error against the separately computed simulator expectation. For one omitted-direction defect, probe coverage followed its analytic law, and rank-aware abstention protected unsupported interpretations. Scalar-noise experiments exposed both missed weak faults and excessive rejection under narrow relative tolerances. These controls provide an executable separation of prediction, semantic support and scientific acceptance. They are synthetic numerical audits, not clinical validation, neural JEPA-Anything replication, agent learning or patient treatment-effect estimation.
CommentsTechnical Note; 18 pages, 8 figures; reproducibility source and data archive included
