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This work deals with the numerical solution of the monodomain and bidomain models of electrical activity of myocardial tissue. The bidomain model is a system consisting of a possibly degenerate parabolic PDE coupled with an elliptic PDE for…

Numerical Analysis · Mathematics 2008-07-03 Mostafa Bendahmane , Raimund Bürger , Ricardo Ruiz Baier

We theoretically propose and numerically validate an all-optical scheme to generate optical pulse trains with varying peak-powers and durations. A shaping of the spectral phase thanks to discrete $\pi/2$ phase shifts enables an efficient…

Optics · Physics 2021-03-29 Ugo Andral , Christophe Finot

Ever brighter light sources, fast parallel detectors, and advances in phase retrieval methods, have made ptychography a practical and popular imaging technique. Compared to previous techniques, ptychography provides superior robustness and…

Data Analysis, Statistics and Probability · Physics 2016-07-20 Stefano Marchesini , Hari Krishnan , Benedikt J. Daurer , David A. Shapiro , Talita Perciano , James A. Sethian , Filipe R. N. C. Maia

We present an integral transformation capable of extracting moments of arbitrary Paley-Wiener entire functions against a given spectral distribution based solely on short-time values of the correlation function in a small open disk about…

Mathematical Physics · Physics 2007-05-23 Cristian Predescu

We address the problem of recovering a time-varying 4D distribution from a sparse sequence of 2D projections - analogous to novel-view synthesis from sparse cameras, but applied to the 4D transverse phase space density $\rho(x,p_x,y,p_y)$…

Accelerator Physics · Physics 2026-04-08 Alexander Scheinker , Alexander Plastun , Peter Ostroumov

The pressing need for the detailed wavefront properties of ultra-bright and ultra-short pulses produced by free-electron lasers (FELs) has spurred the development of several complementary characterization approaches. Here we present a…

We present a unified framework for solving partial differential equations (PDEs) using video-inpainting diffusion transformer models. Unlike existing methods that devise specialized strategies for either forward or inverse problems under…

Machine Learning · Computer Science 2025-06-18 Edward Li , Zichen Wang , Jiahe Huang , Jeong Joon Park

We propose and test an iterative technique for improving the temporal focusing of a time reversal mirror. A single amplification parameter is introduced to tune the convergence of the iteration. The tunable iterative technique is validated…

Chaotic Dynamics · Physics 2011-10-25 Biniyam Tesfaye Taddese , Thomas M. Antonsen , Edward Ott , Steven M. Anlage

We propose an extension of the zone-based algorithmics for analyzing timed automata to handle systems where timing uncertainty is considered as probabilistic rather than set-theoretic. We study duration probabilistic automata (DPA),…

Formal Languages and Automata Theory · Computer Science 2010-11-02 Oded Maler , Kim G. Larsen , Bruce H. Krogh

When models, e.g., for semantic segmentation, are applied to images that are vastly different from training data, the performance will drop significantly. Domain adaptation methods try to overcome this issue, but need samples from the…

Computer Vision and Pattern Recognition · Computer Science 2023-12-05 Joshua Niemeijer , Manuel Schwonberg , Jan-Aike Termöhlen , Nico M. Schmidt , Tim Fingscheidt

Generative foundation models contain broad visual knowledge and can produce diverse image variations, making them particularly promising for advancing domain generalization tasks. They can be used for training data augmentation, but…

Computer Vision and Pattern Recognition · Computer Science 2026-03-27 Arpit Jadon , Joshua Niemeijer , Yuki M. Asano

Characterizing resonant scatterers is challenging because their poles and zeros usually lie away from the real-frequency axis, whereas most measurements sample only real frequencies and infer off-axis behavior from fitted models. Here we…

Optics · Physics 2026-03-16 Alex Krasnok , Denis Seletskiy

A general approach for transforming phase field equations into generalized curvilinear coordinates is proposed in this work. The proposed transformation can be applied to isotropic, non-isotropic, and curvilinear grids without adding any…

Computational Physics · Physics 2024-12-02 Henry Collis , Shahab Mirjalili , Ali Mani

Coherent diffractive imaging (CDI) enables lensless imaging with experimental simplicity and a flexible field of view, yet its resolution is fundamentally constrained by the Abbe diffraction limit. To overcome this limitation, we introduce…

Time-reversal symmetry allows waves to retrace their paths through complex media and refocus at their origin. However, incomplete capture and reversal of scattered waves often limits pulse recompression. We address this challenge for…

We demonstrate universal and programmable three-mode linear optical operations in the time domain by realizing a scalable dual-loop optical circuit suitable for universal quantum information processing (QIP). The programmability, validity,…

Quantum Physics · Physics 2023-08-01 Kazuma Yonezu , Yutaro Enomoto , Takato Yoshida , Shuntaro Takeda

We predict analytically and confirm with numerical simulations that inter-mode dispersion in nanowire waveguide arrays can be tailored through periodic waveguide bending, facilitating flexible spatio-temporal reshaping without break-up of…

Optics · Physics 2018-04-13 Alexander S. Solntsev , Andrey A. Sukhorukov

Practical learning-based autonomous driving models must be capable of generalizing learned behaviors from simulated to real domains, and from training data to unseen domains with unusual image properties. In this paper, we investigate…

Computer Vision and Pattern Recognition · Computer Science 2021-09-24 Shivam Akhauri , Laura Zheng , Tom Goldstein , Ming Lin

A new Bayesian method for the analysis of folded pulsar timing data is presented that allows for the simultaneous evaluation of evolution in the pulse profile in either frequency or time, along with the timing model and additional…

Instrumentation and Methods for Astrophysics · Physics 2015-01-09 L Lentati , P. Alexander , M. P. Hobson

We present a general theory of fractal transformations and show how it leads to a new type of method for filtering and transforming digital images. This work substantially generalizes earlier work on fractal tops. The approach involves…

Geometric Topology · Mathematics 2011-02-17 Michael F. Barnsley , Brendan Harding , Konstantin Igudesman