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Computational materials engineering has undergone a transformative shift with the integration of data-driven methodologies and artificial intelligence, enabling accelerated discovery and design of novel materials. Uncertainty quantification (UQ) plays a pivotal role in this paradigm, addressing inherent variabilities in simulations, experimental data, and model predictions to ensure reliable decision-making in materials development. This review synthesizes recent advancements in UQ methods within computational and data-driven materials engineering, focusing on probabilistic modeling, sensitivity analysis, and Bayesian inference techniques deployed across multiscale simulations and machine learning frameworks. We examine deployment contexts ranging from molecular dynamics to additive manufacturing, highlighting how UQ enhances robustness in property prediction, process optimization, and autonomous discovery systems. By integrating insights from high-impact studies the review delineates a systems-level perspective on UQ infrastructures, emphasizing their role in bridging computational predictions with experimental validation. Key challenges such as computational efficiency and data scarcity are contextualized, alongside opportunities for multimodal integration. Ultimately, this synthesis positions UQ as an essential infrastructure for advancing materials informatics toward industrial applicability, offering a forward-looking outlook on scalable, uncertainty-aware workflows in materials engineering.

The field of computational and data-driven materials engineering has transformed traditional discovery processes through the integration of machine learning, high-throughput computations, and autonomous systems. However, as these pipelines scale, the management of uncertainty emerges as a foundational infrastructure rather than a mere analytical byproduct. This manuscript conceptualizes uncertainty not as an obstacle but as an enabling framework for governing confidence in materials informatics workflows. By synthesizing recent advancements in representation learning, graph neural networks, and uncertainty quantification, we identify epistemic gaps in current data-driven ecosystems, where confidence in predictions often remains opaque or inadequately integrated into discovery loops. We introduce the Confidence Governance Framework (CGF), a layered conceptual architecture that embeds uncertainty quantification as a core infrastructural element, facilitating dynamic interactions between data representations, model inferences, and discovery steering. This framework emphasizes computational trade-offs in multimodal datasets and simulation-experiment couplings, promoting robust, interpretable pipelines. Implications extend to enhanced autonomy in inverse design and closed-loop experimentation, fostering resilient materials engineering paradigms. Through this lens, uncertainty becomes a strategic asset for calibrating epistemic risks and optimizing resource allocation in AI-assisted materials research.