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Seismic traveltime tomography represents a popular and useful tool for unravelling the structure of the subsurface across the scales. In this work we address the case where the forward model is represented by the eikonal equation and derive…

Geophysics · Physics 2025-08-21 Andrea Zunino , Scott Keating , Andreas Fichtner

Data-flow analyses like points-to analysis can vastly improve the precision of other analyses, and help perform powerful code optimizations. However, whole-program points-to analysis of large programs tend to be expensive - both in terms of…

Programming Languages · Computer Science 2024-09-17 Shashin Halalingaiah , Vijay Sundaresan , Daryl Maier , V. Krishna Nandivada

Sensitivity analyses reveal the influence of various modeling choices on the outcomes of statistical analyses. While theoretically appealing, they are overwhelmingly inefficient for complex Bayesian models. In this work, we propose…

We report on recent work on adaptive timestep control for weakly instationary gas flows [16, 18, 17] carried out within SFB 401, TPA3. The method which we implement and extend is a space-time splitting of adjoint error representations for…

Numerical Analysis · Mathematics 2014-05-22 Sebastian Noelle , Christina Steiner

Discrete diffusion has become a leading framework for generative modeling in various applications including language, vision, and biology. Existing convergence theory, however, exhibits fundamental limitations. KL-based analyses diverge…

Machine Learning · Computer Science 2026-05-19 Kelvin Kan , Xingjian Li , Benjamin J. Zhang , Tuhin Sahai , Stanley Osher , Markos A. Katsoulakis

Diffusion and flow-matching have emerged as powerful methodologies for generative modeling, with remarkable success in capturing complex data distributions and enabling flexible guidance at inference time. Many downstream applications,…

Machine Learning · Computer Science 2026-04-28 Zeyang Li , Kaveh Alim , Navid Azizan

In this paper, we study the problem of parameter estimation in a sensor network, where the measurements and updates of some sensors might be arbitrarily manipulated by adversaries. Despite the presence of such misbehaviors, normally…

Systems and Control · Electrical Eng. & Systems 2023-06-06 Jiaqi Yan , Kuo Li , Hideaki Ishii

Anomaly detection (AD) is increasingly recognized as a key component for ensuring the resilience of future communication systems. While deep learning has shown state-of-the-art AD performance, its application in critical systems is hindered…

Machine Learning · Computer Science 2025-10-29 Lukas Schynol , Marius Pesavento

Engineered injection and extraction systems that create chaotic advection are promising procedures for enhancing mixing between two species. Mixing efficiencies vary considerably, so carefully selecting the design parameters, like pumping…

Chaotic Dynamics · Physics 2026-01-29 Carla Feistner , Francesca Ziliotto , Barbara Wohlmuth , Gabriele Chiogna

In recent years, it has been convincingly shown that weather forecasting models can be run in single-precision arithmetic. Several models or components thereof have been tested with even lower precision than this. This previous work has…

Atmospheric and Oceanic Physics · Physics 2020-03-23 Andrew T. T. McRae , Tim N. Palmer

There is a growing literature adopting a stochastic optimal control (SOC) perspective to fine-tune diffusion models and related generative policies. A prominent class of methods, known as iterative diffusion optimization, solves the SOC…

Optimization and Control · Mathematics 2026-03-24 Yuhang Mei , Amirhossein Taghvaei

When an inverse problem is solved by a gradient-based optimization algorithm, the corresponding forward and adjoint problems, which are introduced to compute the gradient, can be also solved iteratively. The idea of iterating at the same…

Numerical Analysis · Mathematics 2025-01-23 Marcella Bonazzoli , Houssem Haddar , Tuan Anh Vu

The paper presents a strategy to construct an incremental Singular Value Decomposition (SVD) for time-evolving, spatially 3D discrete data sets. A low memory access procedure for reducing and deploying the snapshot data is presented.…

Mathematical Software · Computer Science 2023-02-21 Niklas Kühl , Hendrik Fischer , Michael Hinze , Thomas Rung

We propose an extension of the discretization approaches for multilayer shallow water models, aimed at making them more flexible and efficient for realistic applications to coastal flows. A novel discretization approach is proposed, in…

Numerical Analysis · Mathematics 2018-04-18 Luca Bonaventura , Enrique D. Fernández-Nieto , José Garres-Díaz , Gladys Narbona-Reina

In the optimization of turbomachinery components, shape sensitivities for fluid dynamical objective functions have been used for a long time. As peak stress is not a differential func- tional of the shape, such highly efficient procedures…

Numerical Analysis · Mathematics 2018-02-15 Hanno Gottschalk , Mohamed Saadi , Onur Tanil Doganay , Kathrin Klamroth , Sebastian Schmitz

Diffusion-based image super-resolution (SR) has recently attracted significant attention by leveraging the expressive power of large pre-trained text-to-image diffusion models (DMs). A central practical challenge is resolving the trade-off…

Image and Video Processing · Electrical Eng. & Systems 2026-01-26 Maxence Noble , Gonzalo Iñaki Quintana , Benjamin Aubin , Clément Chadebec

While normalizing flows for continuous data have been extensively researched, flows for discrete data have only recently been explored. These prior models, however, suffer from limitations that are distinct from those of continuous flows.…

Machine Learning · Computer Science 2022-07-06 Mai Elkady , Jim Lim , David I. Inouye

In this two-part work, we propose an algorithmic framework for solving non-convex problems whose objective function is the sum of a number of smooth component functions plus a convex (possibly non-smooth) or/and smooth (possibly non-convex)…

Optimization and Control · Mathematics 2019-07-24 Sandeep Kumar , Ketan Rajawat , Daniel P. Palomar

This study extends the flow measurement method initially proposed in [22] to three-dimensional scenarios, addressing the growing need for accurate and efficient non-contact flow measurement techniques in complex hydrodynamic environments.…

Numerical Analysis · Mathematics 2025-03-18 Jiwei Li , Lingyun Qiu , Zhongjing Wang , Hui Yu

Density gradient theory (DGT) allows fast and accurate determination of surface tension and density profile through a phase interface. Several algorithms have been developed to apply this theory in practical calculations. While the…

Chemical Physics · Physics 2016-08-09 Xiaoqun Mu , Florian Frank , Faruk O. Alpak , Walter G. Chapman