{"slug": "fundamental-dynamical-units-for-physics-informed-structural-inference-from-time", "title": "Fundamental Dynamical Units for Physics-Informed Structural Inference from Perturbation Time-Series in Networked Systems", "summary": "Researchers introduced Fundamental Dynamical Units (FDUs), signed three-node interaction patterns, as composable primitives for recovering interaction structure from perturbation time-series data in networked dynamical systems, according to arXiv:2609.11934v1. The framework embeds FDU-regularized structural inference within a physics-informed neural ordinary differential equation (ODE) whose governing-equation constraint turns structural hypotheses into verifiable dynamical predictions, enabling joint recovery of interaction structure and perturbation-resolved trajectories. Validated on synthetic benchmarks with known ground truth, the approach makes intervention design a structural consequence of the FDU representation.", "body_md": "arXiv:2609.11934v1 Announce Type: new \nAbstract: In networked dynamical systems, the parameter of primary mechanistic interest is signed interaction structure. Recovering this structure from perturbation time-series data is a fundamental identification problem, compounded by three coupled obstacles: the combinatorial complexity of interaction architectures, ambiguity of causal attribution under limited interventions, and state-dependent dynamics that confound structural inference. Each obstacle is structural in origin and calls for a structural solution. We address these challenges by adopting a reductionist approach, introducing Fundamental Dynamical Units (FDUs): signed three-node interaction patterns as composable primitives that convert the interaction hypothesis space into a finite, constructive, and tractable representation. We show that local interaction structure determines the perturbation conditions required to disentangle direct from relayed influence, making intervention design a structural consequence of the FDU representation. We embed FDU-regularized structural inference within a physics-informed neural ordinary differential equation (ODE) whose governing-equation constraint transforms structural hypotheses into verifiable dynamical predictions, enabling joint recovery of interaction structure and perturbation-resolved trajectories. Validated on synthetic benchmarks with known ground truth, the framework supports structural commitment, expressed through FDU primitives, motif-prescribed intervention design, and physics-informed learning, as a principled basis for mechanistically interpretable inference in networked dynamical systems.", "url": "https://wpnews.pro/news/fundamental-dynamical-units-for-physics-informed-structural-inference-from-time", "canonical_source": "https://arxiv.org/abs/2609.11934", "published_at": "2026-09-14 04:00:00+00:00", "updated_at": "2026-09-14 04:26:29.765633+00:00", "lang": "en", "topics": ["machine-learning", "ai-research", "neural-networks"], "entities": ["Fundamental Dynamical Units", "arXiv:2609.11934v1", "physics-informed neural ordinary differential equation"], "alternates": {"html": "https://wpnews.pro/news/fundamental-dynamical-units-for-physics-informed-structural-inference-from-time", "markdown": "https://wpnews.pro/news/fundamental-dynamical-units-for-physics-informed-structural-inference-from-time.md", "text": "https://wpnews.pro/news/fundamental-dynamical-units-for-physics-informed-structural-inference-from-time.txt", "jsonld": "https://wpnews.pro/news/fundamental-dynamical-units-for-physics-informed-structural-inference-from-time.jsonld"}}