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Complex engineered systems require coordinated design choices across heterogeneous components under multiple conflicting objectives and uncertain specifications. Monotone co-design provides a compositional framework for such problems by…

最优化与控制 · 数学 2026-03-20 Yujun Huang , Gioele Zardini

Diffusion models now generate high-quality, diverse samples, with an increasing focus on more powerful models. Although ensembling is a well-known way to improve supervised models, its application to unconditional score-based diffusion…

The structure of the supply chain network has important implications for modelling economic systems, from growth trajectories to responses to shocks or natural disasters. However, reconstructing firm-to-firm networks from available…

物理与社会 · 物理学 2024-12-23 Leonardo Niccolò Ialongo , Sylvain Bangma , Fabian Jansen , Diego Garlaschelli

Multimodal foundation models offer a promising framework for robotic perception and planning by processing sensory inputs to generate actionable plans. However, addressing uncertainty in both perception (sensory interpretation) and…

机器人学 · 计算机科学 2025-04-18 Neel P. Bhatt , Yunhao Yang , Rohan Siva , Daniel Milan , Ufuk Topcu , Zhangyang Wang

Mammographic screening is an effective method for detecting breast cancer, facilitating early diagnosis. However, the current need to manually inspect images places a heavy burden on healthcare systems, spurring a desire for automated…

图像与视频处理 · 电气工程与系统科学 2025-01-30 Ciaran Bench , Emir Ahmed , Spencer A. Thomas

Distribution shifts are ubiquitous in real-world machine learning applications, posing a challenge to the generalization of models trained on one data distribution to another. We focus on scenarios where data distributions vary across…

机器学习 · 统计学 2024-06-05 Steven Wilkins-Reeves , Xu Chen , Qi Ma , Christine Agarwal , Aude Hofleitner

Modelling uncertainty in Machine Learning models is essential for achieving safe and reliable predictions. Most research on uncertainty focuses on output uncertainty (predictions), but minimal attention is paid to uncertainty at inputs. We…

机器学习 · 计算机科学 2024-06-28 Matias Valdenegro-Toro , Ivo Pascal de Jong , Marco Zullich

Drive towards improved performance of machine learning models has led to the creation of complex features representing a database of condensed matter systems. The complex features, however, do not offer an intuitive explanation on which…

We apply random matrix theory to study the impact of measurement uncertainty on dynamic mode decomposition. Specifically, when the measurements follow a normal probability density function, we show how the moments of that density propagate…

统计方法学 · 统计学 2025-09-04 P. Algikar , P. Sharma , M. Netto , L. Mili

Polymer matrix composites exhibit remarkable lightweight and high strength properties that make them attractive for aerospace applications. Constituents' materials such as advanced polymers and fibers or fillers with their hierarchical…

材料科学 · 物理学 2021-12-03 Satyajit Mojumder , Lei Tao , Ying Li , Wing Kam Liu

Honeycomb-like microstructures have been shown to exhibit local elastic buckling under compression, with three possible geometric buckling modes, or pattern transformations. The individual pattern transformations, and consequently also…

软凝聚态物质 · 物理学 2020-04-14 O. Rokoš , M. M. Ameen , R. H. J. Peerlings , M. G. D. Geers

In this study, a reduced micromorphic model for multiscale materials is developed. In the context of this model, multiscale materials are modeled with deformable microstructures. The deformation energy is formed depending on microstrain and…

应用物理 · 物理学 2018-06-29 Mohamed Shaat

Brittle solids are often toughened by adding a second-phase material. This practice often results in composites with material heterogeneities on the meso scale: large compared to the scale of the process zone but small compared to that of…

材料科学 · 物理学 2024-02-20 Liuchi Li , Jack Rao , Todd Hufnagel , KT Ramesh

Recent advances in uncertainty quantification increasingly emphasise the distinction between aleatory and epistemic uncertainty in machine learning, motivating the need for more unified frameworks. However, despite much progress in…

机器学习 · 计算机科学 2026-05-26 Yu Chen , Scott Ferson

Distributed architectures have become ubiquitous in many complex technical and socio-technical systems because of their role in improving uncertainty management, accommodating multiple stakeholders, and increasing scalability and…

分布式、并行与集群计算 · 计算机科学 2016-08-03 Mohsen Mosleh , Kia Dalili , Babak Heydari

We develop a novel application of hybrid information divergences to analyze uncertainty in steady-state subsurface flow problems. These hybrid information divergences are non-intrusive, goal-oriented uncertainty quantification tools that…

概率论 · 数学 2019-07-05 Eric Joseph Hall , Markos A. Katsoulakis

Denoising diffusion models offer a promising approach to accelerating magnetic resonance imaging (MRI) and producing diagnostic-level images in an unsupervised manner. However, our study demonstrates that even tiny worst-case potential…

图像与视频处理 · 电气工程与系统科学 2024-06-26 Tianyu Han , Sven Nebelung , Firas Khader , Jakob Nikolas Kather , Daniel Truhn

High-dimensional compositional covariates, often derived from count data, are subject to measurement error and are frequently analyzed after aggregation along a prespecified tree to improve interpretability in applications such as…

统计方法学 · 统计学 2026-05-18 Zhenghan Li , Tianying Wang

We propose a multi-scale extension of conformal prediction, an approach that constructs prediction sets with finite-sample coverage guarantees under minimal statistical assumptions. Classic conformal prediction relies on a single notion of…

统计理论 · 数学 2025-02-11 Ali Baheri , Marzieh Amiri Shahbazi

Materials informatics is increasingly used to support modelling, analysis and design across the length scales of materials science, from atomistic simulations to microstructural characterisation and continuum descriptions. Despite rapid…