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Material Spaces Are Not Euclidean: A Computational Critique of Distance Metrics in Data-Driven Materials Discovery
In the rapidly evolving field of computational materials engineering, data-driven approaches have transformed the discovery and design of novel materials by leveraging machine learning and high-throughput computations to navigate vast chemical spaces. Traditional methodologies often rely on Euclidean distance metrics to quantify similarities between materials in latent representations, facilitating tasks such as property prediction, inverse design, and autonomous experimentation. However, this assumption overlooks the inherent non-linearities and topological complexities of material spaces, where properties like electronic bandgaps, mechanical strengths, and thermodynamic stabilities emerge from intricate atomic interactions that do not conform to flat geometries. This conceptual gap leads to inefficiencies in representation learning, biased uncertainty quantification, and suboptimal steering in discovery pipelines. Here, we introduce a novel interpretive framework that critiques Euclidean metrics through a manifold-based lens, emphasizing geodesic distances and curvature-aware embeddings to better capture the epistemic structure of materials data. By integrating insights from graph neural networks, multimodal datasets, and closed-loop systems, this framework reveals computational trade-offs in data infrastructures and enhances the interpretability of AI-guided workflows. Implications extend to improved coupling of simulations and experiments, fostering more robust foundation models for materials science and accelerating innovation in energy, electronics, and structural applications without empirical validation.
Journal of Computational and Data-Driven Materials Engineering
Original Research | Open access | 18 March 2022 | Article: 80

Human–AI Jurisdiction Boundaries in Computational and Data-Driven Materials Engineering
The computational and data-driven paradigm has fundamentally reshaped materials engineering, enabling the navigation of vast chemical and structural spaces through machine learning, high-throughput computation, and autonomous workflows. Yet this transformation has also exposed a critical conceptual gap: the absence of explicit, structured boundaries that govern the division of cognitive labor between human experts and artificial intelligence systems. Without such boundaries, AI contributions risk overstepping domains requiring physical intuition, ethical judgment, and contextual synthesis, while human oversight may inadvertently constrain the scale and speed that define modern discovery pipelines. This manuscript introduces the Epistemic Jurisdiction Framework (EJF), an original systems-level model that delineates jurisdiction layers, interfaces, and feedback mechanisms tailored to the materials discovery ecosystem. The EJF maps the flow from raw data to validated discovery through distinct zones of human primacy, AI autonomy, and negotiated hybrid spaces, emphasizing representation–inference interactions and computational steering logics. Grounded in the recent literature on machine learning for materials, explainable systems, and data-driven infrastructures, the framework offers a conceptual scaffold for infrastructure-level design rather than performance optimization. Its implications extend to the construction of more robust, interpretable, and sustainable computational ecosystems in which human and AI capabilities are aligned rather than blurred. The EJF thereby provides a foundation for next-generation materials engineering platforms that preserve epistemic integrity while fully exploiting computational scale.
Journal of Computational and Data-Driven Materials Engineering
Original Research | Open access | 18 March 2025 | Article: 127

Validation Authority Erosion in High-Velocity Computational Materials Innovation
The convergence of machine learning, high-throughput computation, and large-scale materials databases has propelled computational materials engineering into a regime of high-velocity innovation, where the generation of candidate structures and property predictions now occurs at rates orders of magnitude faster than traditional experimental validation. This shift has transformed the materials discovery pipeline from a sequential, experiment-centric process into a parallel, inference-dominated ecosystem. Yet the resulting disparity between computational throughput and empirical grounding has induced a subtle but profound erosion of validation authority—the epistemic weight traditionally assigned to direct experimental confirmation. This conceptual article synthesizes the computational and data-driven materials research landscape to examine how rapid inference challenges the established hierarchy of knowledge validation. Drawing on developments in machine learning interatomic potentials, uncertainty quantification, and autonomous discovery platforms, the analysis reveals systemic pressures that redistribute authority across data, models, and discovery outputs. To address these dynamics, the Velocity-Induced Validation Authority Reconfiguration (VIVAR) Framework is introduced as an original systems-level architecture. VIVAR conceptualizes validation not as a static endpoint but as a dynamic, reconfigurable layer embedded within the discovery pipeline. It delineates structural layers, forward-propagating data-to-discovery flows, bidirectional feedback mechanisms, and computational steering logics that enable adaptive authority allocation. By interpreting validation authority as an infrastructure resource subject to erosion and realignment, the framework provides interpretive tools for managing epistemic risk and infrastructure trade-offs in accelerated materials ecosystems. The implications extend beyond individual workflows to the broader architecture of computational materials innovation, offering a lens for designing platforms that sustain discovery velocity while preserving epistemic integrity. In an era where computational predictions increasingly precede and sometimes supplant experimentation, such reconfiguration becomes essential for the sustainable advancement of the field.
Journal of Computational and Data-Driven Materials Engineering
Original Research | Open access | 18 September 2025 | Article: 133
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