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In this paper, we study the performance of Full Waveform Inversion (FWI) from time-harmonic Cauchy data via conditional well-posedness driven iterative regularization. The Cauchy data can be obtained with dual sensors measuring the pressure…

偏微分方程分析 · 数学 2019-06-05 Giovanni Alessandrini , Maarten V. de Hoop , Florian Faucher , Romina Gaburro , Eva Sincich

Predicting the process of porosity-based ductile damage in polycrystalline metallic materials is an essential practical topic. Ductile damage and its precursors are represented by extreme values in stress and material state quantities, the…

材料科学 · 物理学 2023-08-09 Yinling Zhang , Nan Chen , Curt A. Bronkhorst , Hansohl Cho , Robert Argus

In this paper, a data-driven approach is developed for controller design for a class of discrete-time large-scale systems, where a large-scale system can be expressed in an equivalent data-driven form and the decentralized controllers can…

系统与控制 · 电气工程与系统科学 2024-11-18 Jiaping Liao , Shuaizheng Lu , Tao Wang , Weiming Xiang

The work investigates the failure modes of the microstructure of an irregular ceramic foam subjected to uniaxial compression loading. The foam material is manufactured using the direct foaming method and has polydispersed pores…

软凝聚态物质 · 物理学 2025-09-10 Vinit Vijay Deshpande , Romana Piat

We study the existence of solutions arising from the modelling of elastic materials using generalized theories of continua. In view of some evidence from physics of meta-materials we focus our effort on two recent nonstandard relaxed…

偏微分方程分析 · 数学 2019-02-12 Sebastian Owczarek , Ionel-Dumitrel Ghiba , Marco-Valerio d'Agostino , Patrizio Neff

We present a universal approach to the investigation of the dynamics in generalized models. In these models the processes that are taken into account are not restricted to specific functional forms. Therefore a single generalized models can…

混沌动力学 · 物理学 2007-05-23 Thilo Gross , Ulrike Feudel

This paper proposes a robust learning methodology to place the closed-loop poles in desired convex regions in the complex plane. We considered the system state and input matrices to be unknown and can only use the measurements of the system…

系统与控制 · 电气工程与系统科学 2021-11-15 Sayak Mukherjee , Ramij R. Hossain

The shear-transformation-zone (STZ) theory of plastic deformation predicts that sufficiently soft, non-crystalline solids are linearly unstable against forming periodic arrays of microstructural shear bands. A limited nonlinear analysis…

材料科学 · 物理学 2009-11-07 J. S. Langer

This paper proves that robustness implies generalization via data-dependent generalization bounds. As a result, robustness and generalization are shown to be connected closely in a data-dependent manner. Our bounds improve previous bounds…

机器学习 · 计算机科学 2022-08-04 Kenji Kawaguchi , Zhun Deng , Kyle Luh , Jiaoyang Huang

Multiscale systems are ubiquitous in science and technology, but are notoriously challenging to simulate as short spatiotemporal scales must be appropriately linked to emergent bulk physics. When expensive high-dimensional dynamical systems…

机器学习 · 计算机科学 2025-12-30 Quercus Hernandez , Max Win , Thomas C. O'Connor , Paulo E. Arratia , Nathaniel Trask

Structured reduced-order modeling is a central component in the computer-aided design of control systems in which cheap-to-evaluate low-dimensional models with physically meaningful internal structures are computed. In this work, we develop…

数值分析 · 数学 2026-05-25 Sean Reiter , Steffen W. R. Werner

Simulations of condensed matter systems often focus on the dynamics of a few distinguished components but require integrating the dynamics of the full system. A prime example is a molecular dynamics simulation of a (macro)molecule in…

计算物理 · 物理学 2024-03-12 Mauricio J. del Razo , Daan Crommelin , Peter G. Bolhuis

This paper considers the stabilization of unknown switched linear systems using data. Instead of a full system model, we have access to a finite number of trajectories of each of the different modes prior to the online operation of the…

最优化与控制 · 数学 2024-07-29 Jaap Eising , Shenyu Liu , Sonia Martinez , Jorge Cortes

We study the failure properties of fiber bundles when continuous rupture goes on due to the application of external load on the bundles. We take the two extreme models: equal load sharing model (democratic fiber bundles) and local load…

统计力学 · 物理学 2009-11-10 Srutarshi Pradhan , Bikas K. Chakrabarti

Multimodal data collected from the real world are often imperfect due to missing modalities. Therefore multimodal models that are robust against modal-incomplete data are highly preferred. Recently, Transformer models have shown great…

计算机视觉与模式识别 · 计算机科学 2022-04-13 Mengmeng Ma , Jian Ren , Long Zhao , Davide Testuggine , Xi Peng

In computational materials science, mechanical properties are typically extracted from simulations by means of analysis routines that seek to mimic their experimental counterparts. However, simulated data often exhibit uncertainties that…

数据分析、统计与概率 · 物理学 2017-12-07 Paul N. Patrone , Anthony J. Kearsley , Andrew M. Dienstfrey

Identifying the location of a disturbance and its magnitude is an important component for stable operation of power systems. We study the problem of localizing and estimating a disturbance in the interconnected power system. We take a…

机器学习 · 计算机科学 2018-06-06 Hyang-Won Lee , Jianan Zhang , Eytan Modiano

We study a data-dependent notion of diffusion-model generalization: when a model does not memorize the training set, where do its generated samples go relative to the geometry induced by the data? To answer this, we introduce a…

机器学习 · 统计学 2026-05-14 Ye He , Yitong Qiu , Molei Tao

This paper addresses the problem of controlling a continuum manipulator (CM) in free or obstructed environments with no prior knowledge about the deformation behavior of the CM and the stiffness and geometry of the interacting obstructed…

机器人学 · 计算机科学 2020-05-06 Farshid Alambeigi , Zerui Wang , Yun-Hui Liu , Russell H. Taylor , Mehran Armand

In this work, we consider wave propagation in materials characterized by nonlinear properties or damage. To accelerate the simulations of the resulting high-dimensional problems, we apply model order reduction methods. Depending on the…

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