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Fourier transforms are ubiquitous mathematical tools in basic and applied sciences. We here report classical and quantum optical realizations of the discrete fractional Fourier transform, a generalization of the Fourier transform. In the…

Object cutout is a fundamental operation for image editing and manipulation, yet it is extremely challenging to automate it in real-world images, which typically contain considerable background clutter. In contrast to existing cutout…

Computer Vision and Pattern Recognition · Computer Science 2016-09-19 Huayong Xu , Yangyan Li , Wenzheng Chen , Dani Lischinski , Daniel Cohen-Or , Baoquan Chen

A consistent trend throughout the research of oriented object detection has been the pursuit of maintaining comparable performance with fewer and weaker annotations. This is particularly crucial in the remote sensing domain, where the dense…

Computer Vision and Pattern Recognition · Computer Science 2026-02-04 Wei Zhang , Xiang Liu , Ningjing Liu , Mingxin Liu , Wei Liao , Chunyan Xu , Xue Yang

An investigation on student understanding of waves is performed during an optional laboratory realized in informal extracurricular way with few, interested and talented pupils. The background and smart intuitions of students rendered the…

Physics Education · Physics 2013-10-10 Simone Di Renzone , Serena Frati , Vera Montalbano

Object proposals have quickly become the de-facto pre-processing step in a number of vision pipelines (for object detection, object discovery, and other tasks). Their performance is usually evaluated on partially annotated datasets. In this…

Computer Vision and Pattern Recognition · Computer Science 2015-11-24 Neelima Chavali , Harsh Agrawal , Aroma Mahendru , Dhruv Batra

Some iterative techniques are defined to solve reversible inverse problems and a common formulation is explained. Numerical improvements are suggested and tests validate the methods.

Optimization and Control · Mathematics 2011-12-06 Sébastien Marinesque

A novel approach to full waveform inversion (FWI), based on a data driven reduced order model (ROM) of the wave equation operator is introduced. The unknown medium is probed with pulses and the time domain pressure waveform data is recorded…

Numerical Analysis · Mathematics 2022-08-03 Alexander V. Mamonov , Liliana Borcea , Josselin Garnier , Jörn Zimmerling

Waveform inversion is concerned with estimating a heterogeneous medium, modeled by variable coefficients of wave equations, using sources that emit probing signals and receivers that record the generated waves. It is an old and intensively…

Numerical Analysis · Mathematics 2024-10-29 Liliana Borcea , Josselin Garnier , Alexander V. Mamonov , Jörn Zimmerling

A set of semi-analytical techniques based on Fourier analysis is used to solve wave scattering problems in variously shaped waveguides with varying normal admittance boundary conditions. Key components are newly developed conformal mapping…

Mathematical Physics · Physics 2015-06-02 Anders Andersson , Borje Nilsson , Thomas Biro

The optimization of integrated optical evanescent-wave sensors is dual. For optimal performances, we require waveguides with both maximal sensitivity to the measurand, the quantity intended to be measured, and minimal sensitivities to…

Optics · Physics 2014-04-16 Camille Delezoide , Isabelle Ledoux-Rak , Chi Thanh Nguyen

Systematic testing of object-oriented software turned out to be much more complex than testing conventional software. Especially the highly incremental and iterative development cycle demands both many more changes and partially implemented…

Software Engineering · Computer Science 2007-05-23 Mario Winter

In this paper, we consider a wave equation on a bounded interval where the initial conditions are known (are zero) and we are rather interested in identifying an unknown source term $q(x)$ thanks to the measurement output $y$ which is the…

Optimization and Control · Mathematics 2010-05-04 Marianne Chapouly , Mazyar Mirrahimi

We introduce a novel approach to waveform inversion, based on a data driven reduced order model (ROM) of the wave operator. The presentation is for the acoustic wave equation, but the approach can be extended to elastic or electromagnetic…

Numerical Analysis · Mathematics 2022-12-29 Liliana Borcea , Josselin Garnier , Alexander V. Mamonov , Jörn Zimmerling

Effective spatio-temporal measurements of water surface elevation (water waves) in laboratory experiments are essential for scientific and engineering research. Existing techniques are often cumbersome, computationally heavy and generally…

Atmospheric and Oceanic Physics · Physics 2024-10-31 Noam Ginio , Michael Lindenbaum , Barak Fishbain , Dan Liberzon

Model waveforms are used in gravitational wave data analysis to detect and then to measure the properties of a source by matching the model waveforms to the signal from a detector. This paper derives accuracy standards for model waveforms…

General Relativity and Quantum Cosmology · Physics 2009-01-08 Lee Lindblom , Benjamin J. Owen , Duncan A. Brown

Object data analysis is concerned with statistical methodology for datasets whose elements reside in an arbitrary, unspecified metric space. In this work we propose the object shape, a novel measure of shape/symmetry for object data. The…

Statistics Theory · Mathematics 2023-12-19 Joni Virta

Wavelets are widely used in various disciplines to analyse signals both in space and scale. Whilst many fields measure data on manifolds (i.e., the sphere), often data are only observed on a partial region of the manifold. Wavelets are a…

Information Theory · Computer Science 2023-04-24 Patrick J. Roddy

Experimental data is often comprised of variables measured independently, at different sampling rates (non-uniform ${\Delta}$t between successive measurements); and at a specific time point only a subset of all variables may be sampled.…

Machine Learning · Computer Science 2023-05-01 Saurabh Malani , Tom S. Bertalan , Tianqi Cui , Jose L. Avalos , Michael Betenbaugh , Ioannis G. Kevrekidis

We introduce a new direction in the field of atom optics, atom interferometry, and neutral-atom quantum information processing. It is based on the use of microfabricated optical elements. With these elements versatile and integrated atom…

Quantum Physics · Physics 2009-11-06 G. Birkl , F. B. J. Buchkremer , R. Dumke , W. Ertmer

Conventional time-series forecasting methods typically aim to minimize overall prediction error, without accounting for the varying importance of different forecast ranges in downstream applications. We propose a training methodology that…

Machine Learning · Computer Science 2025-08-15 Luca-Andrei Fechete , Mohamed Sana , Fadhel Ayed , Nicola Piovesan , Wenjie Li , Antonio De Domenico , Tareq Si Salem