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Neural operators have emerged as powerful surrogates for modeling complex physical problems. However, they suffer from spectral bias making them oblivious to high-frequency modes, which are present in multiscale physical systems. Therefore,…

Machine Learning · Computer Science 2025-03-19 Siavash Khodakarami , Vivek Oommen , Aniruddha Bora , George Em Karniadakis

Step-frequency radar (SFR) is a high resolution radar approach, where multiple pulses are transmitted at different frequencies, covering a wide spectrum. The obtained resolution directly depends on the total bandwidth used, or equivalently,…

Information Theory · Computer Science 2015-03-13 Sagar Shah , Yao Yu , Athina Petropulu

Triple sum-frequency (TSF) spectroscopy is a recently-developed methodology that enables collection of multidimensional spectra by resonantly exciting multiple quantum coherences of vibrational and electronic states. This work reports the…

Optics · Physics 2018-08-23 Darien J. Morrow , Daniel D. Kohler , Kyle J. Czech , John C. Wright

We propose a block least mean square (LMS) algorithm to monitor the longitudinal power profile of a fiber-optic link through receiver-based digital data from a coherent detector. Compared to the benchmark least squares (LS) method, the…

Signal Processing · Electrical Eng. & Systems 2026-03-03 Paolo Serena , Chiara Lasagni , Alberto Bononi , Fabien Boitier , Joana Girard-Jollet

A light field image captures scenes through its micro-lens array, providing a rich representation that encompasses spatial and angular information. While this richness comes at significant data redundancy, most existing methods tend to…

Image and Video Processing · Electrical Eng. & Systems 2026-02-19 Zeke Zexi Hu , Haodong Chen , Hui Ye , Xiaoming Chen , Vera Yuk Ying Chung , Yiran Shen , Weidong Cai

Purpose: A novel subspace-based reconstruction method for frequency-modulated balanced steady-state free precession (fmSSFP) MRI is presented. In this work, suitable data acquisition schemes, subspace sizes, and efficiencies for banding…

Lensless cameras replace bulky optics with thin modulation masks, enabling compact imaging systems. However, existing methods rely on an idealized model that assumes a globally shift-invariant point spread function (PSF) and sufficiently…

Image and Video Processing · Electrical Eng. & Systems 2025-12-02 Yu Ren , Xiaoling Zhang , Xu Zhan , Xiangdong Ma , Yunqi Wang , Edmund Y. Lam , Tianjiao Zeng

When there are many observations of an astronomical source - many images with different dithers, or many spectra taken at different barycentric velocities - it is standard practice to shift and stack the data, to (for example) make a high…

Instrumentation and Methods for Astrophysics · Physics 2024-03-19 David W. Hogg , Andrew R. Casey

The Low Frequency Array (LOFAR) is the only existing radio interferometer able to observe at ultra-low frequencies (<100 MHz) with high resolution (<15") and high sensitivity (<1 mJy/beam). To exploit these capabilities, the LOFAR Surveys…

Hyperspectral imaging enables fine-grained recognition of materials by capturing rich spectral signatures, but learning robust classifiers is challenging due to high dimensionality, spectral redundancy, limited labeled data, and strong…

Computer Vision and Pattern Recognition · Computer Science 2026-04-20 Alexander Musiat , Nikolas Ebert , Oliver Wasenmüller

Accurate time series analysis is essential for studying variable astronomical sources, where detecting periodicities and characterizing power spectral density (PSD) are crucial. The Lomb-Scargle periodogram, commonly used in astronomy for…

Instrumentation and Methods for Astrophysics · Physics 2024-11-06 Ezequiel Albentosa-Ruiz , Nicola Marchili

Fourier imaging is an indirect imaging method which records the diffraction pattern of the object scene coherently in the focal plane of the imaging system and reconstructs the image using computational resources. The spatial resolution,…

Optics · Physics 2023-06-05 Hui Yuan , Alvydas Lisauskas , Mark D. Thomson , Hartmut G. Roskos

"Single-shot" ultrafast spectroscopy based on the frequency encoding of transient absorbance kinetics using chirped probe pulses is analyzed theoretically. FDSS has an advantage over pump-probe spectroscopy in a situation where the "noise"…

Optics · Physics 2007-05-23 Ilya A. Shkrob , Stanislas Pommeret

The synchrosqueezing transform, a kind of reassignment method, aims to sharpen the time-frequency representation and to separate the components of a multicomponent non-stationary signal. In this paper, we consider the short-time Fourier…

Signal Processing · Electrical Eng. & Systems 2019-09-27 Lin Li , Haiyan Cai , Hongxia Han , Qingtang Jiang , Hongbing Ji

Performance of cooperative diversity schemes at Low Signal to Noise Ratios (LSNR) was recently studied by Avestimehr et. al. [1] who emphasized the importance of diversity gain over multiplexing gain at low SNRs. It has also been pointed…

Information Theory · Computer Science 2007-07-13 Ketan Rajawat , Adrish Banerjee

We explore the use of remapping techniques to improve the efficiency of highly-multiplexed fibre systems for astronomical spectroscopy. This is particularly important for the implementation of Diverse Field Spectroscopy (DFS, described in…

Instrumentation and Methods for Astrophysics · Physics 2015-05-13 C. L. Poppett , J. R. Allington-Smith , G. J. Murray

Image deblurring aims to restore the detailed texture information or structures from blurry images, which has become an indispensable step in many computer vision tasks. Although various methods have been proposed to deal with the image…

Computer Vision and Pattern Recognition · Computer Science 2024-10-28 Yanni Zhang , Qiang Li , Miao Qi , Di Liu , Jun Kong , Jianzhong Wang

A method is presented for analysing over-determined sets of clock frequency comparison data involving standards based on a number of different reference transitions. This least-squares adjustment procedure, which is based on the method used…

Data Analysis, Statistics and Probability · Physics 2015-09-30 H. S. Margolis , P. Gill

Nonlinear least squares data-fitting driven by physical process simulation is a classic and widely successful technique for the solution of inverse problems in science and engineering. Known as "Full Waveform Inversion" in application to…

Optimization and Control · Mathematics 2020-10-28 William W. Symes

A new method, FM-FTS, combining Frequency Modulation heterodyne laser spectroscopy and Fourier Transform Spectroscopy is presented. It provides simultaneous sensitive measurement of absorption and dispersion profiles with broadband spectral…

Optics · Physics 2007-09-24 Julien Mandon , Guy Guelachvili , Nathalie Picqué