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A general class of unidirectional transforms is presented that can be computed in a distributed manner along an arbitrary routing tree. Additionally, we provide a set of conditions under which these transforms are invertible. These…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-05-14 Godwin Shen , Antonio Ortega

Inverse reinforcement learning (IRL) is an imitation learning approach to learning reward functions from expert demonstrations. Its use avoids the difficult and tedious procedure of manual reward specification while retaining the…

Machine Learning · Computer Science 2024-03-25 Daulet Baimukashev , Gokhan Alcan , Ville Kyrki

In this paper we study the reconstruction of a bandlimited signal from samples generated by the integrate and fire model. This sampler allows us to trade complexity in the reconstruction algorithms for simple hardware implementations, and…

Data Analysis, Statistics and Probability · Physics 2015-04-27 Hans G. Feichtinger , José C. Príncipe , José Luis Romero , Alexander Singh Alvarado , Gino Angelo Velasco

The general and practical inversion of diffraction data-producing a computer model correctly representing the material explored - is an important unsolved problem for disordered materials. Such modeling should proceed by using our full…

Materials Science · Physics 2016-07-05 Anup Pandey , Parthapratim Biswas , David A. Drabold

Estimating time-varying reproduction numbers from epidemic incidence data is a central task in infectious disease surveillance, yet it poses an inherently ill-posed inverse problem. Existing approaches often rely on strong structural…

Machine Learning · Computer Science 2026-03-19 Lanlan Yu , Quan-Hui Liu , Haoyue Zheng , Xinfu Yang

Variational regularization of ill-posed inverse problems is based on minimizing the sum of a data fidelity term and a regularization term. The balance between them is tuned using a positive regularization parameter, whose automatic choice…

Numerical Analysis · Mathematics 2025-11-12 Markus Juvonen , Bjørn Jensen , Ilmari Pohjola , Yiqiu Dong , Samuli Siltanen

In the digital world, signals are discrete and finite. The Fourier representation of discrete and finite signals is FT convolution of the finite sampling function and the continuous signal. Conventionally, finite sampling is treated as a…

Signal Processing · Electrical Eng. & Systems 2021-11-23 Rui Li

We propose a way to favorably employ neural networks in the field of non-destructive testing using Full Waveform Inversion (FWI). The presented methodology discretizes the unknown material distribution in the domain with a neural network…

Machine Learning · Computer Science 2023-12-04 Stefan Kollmannsberger , Divya Singh , Leon Herrmann

Digital filters for recursively computing the discrete Fourier transform (DFT) and estimating the frequency spectrum of sampled signals are examined, with an emphasis on magnitude-response and numerical stability. In this tutorial-style…

Systems and Control · Computer Science 2015-08-26 Hugh L. Kennedy

In many real-world inverse problems, only incomplete measurement data are available for training which can pose a problem for learning a reconstruction function. Indeed, unsupervised learning using a fixed incomplete measurement process is…

Machine Learning · Statistics 2022-09-30 Julián Tachella , Dongdong Chen , Mike Davies

Expected Fisher information can be found a priori and as a result its inverse is the primary variance approximation used in the design of experiments. This is in contrast to the common claim that the inverse of observed Fisher information…

Methodology · Statistics 2022-08-04 Adam Lane

Given prior knowledge of the spectral statistics, the SNR of optical waveforms can be manipulated in a reversible manner. We introduce this concept and discuss its potential application to encryption and context-aware detection of weak…

Optics · Physics 2018-05-02 Jacky C. K. Chan , Bahram Jalali

It is challenging for full-waveform inversion to determine geologically informative models from field data. An inaccurate wavelet can make it more complicated. We develop a novel misfit function, entitled deconvolutional double-difference…

Geophysics · Physics 2022-01-12 Fuqiang Chen , Daniel Peter

The reduction of integral field spectroscopy (IFS) data requires several stages and many repetitive operations to convert raw data into, typically, a large number of spectra. Instead there are several semiautomatic data reduction tools and…

Astrophysics of Galaxies · Physics 2014-02-07 L. López-Martín

Quantitative inversion algorithms allow for the reconstruction of electrical properties (such as permittivity, and conductivity) for every point in a scene. However, they are challenging to use on measured datasets due to the need to know…

Signal Processing · Electrical Eng. & Systems 2025-05-15 Zacharie Idriss , Raghu Raj

We introduce a probabilistic technique for full-waveform inversion, employing variational inference and conditional normalizing flows to quantify uncertainty in migration-velocity models and its impact on imaging. Our approach integrates…

Geophysics · Physics 2024-04-16 Ziyi Yin , Rafael Orozco , Mathias Louboutin , Felix J. Herrmann

We apply a new method "force enhanced atomic refinement" (FEAR) to create a computer model of amorphous silicon (a-Si), based upon the highly precise X-ray diffraction experiments of Laaziri et al. The logic underlying our calculation is to…

Materials Science · Physics 2016-12-28 Anup Pandey , Parthapratim Biswas , Bishal Bhattarai , D. A. Drabold

Physical layer security is a key issue in the full duplex (FD) communication systems due to the broadcast nature of wireless channels. In this paper, the joint design of information and artificial noise beamforming vectors is proposed for…

Information Theory · Computer Science 2017-09-21 Yanjie Dong , Ahmed El Shafie , Md. Jahangir Hossain , Julian Cheng , Naofal Al-Dhahir , Victor C. M. Leung

The need to Fourier transform data sets with irregular sampling is shared by various domains of science. This is the case for example in astronomy or sismology. Iterative methods have been developed that allow to reach approximate…

Numerical Analysis · Mathematics 2024-01-23 Guy Perrin

When chaotic signals are used in practical communication systems, it is essential to control and eventually limit the spectral bandwidth occupied by these signals. One way to achieve this goal is to insert a discrete-time filter into a…

Signal Processing · Electrical Eng. & Systems 2024-01-22 Vinícius S. Borges , Magno T. M. Silva , Marcio Eisencraft