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Convergence rates in spectral regularization methods quantify the approximation error in inverse problems as a function of the noise level or the number of sampling points. Classical strong convergence rate results typically rely on source…

Numerical Analysis · Mathematics 2025-12-05 Sabrina Guastavino , Gabriele Santin , Francesco Marchetti , Federico Benvenuto

The design and performance of a sensitive and reliable cross-correlation spectrum analyzer for studying low frequency transport noise is described in detail. The design makes use of common PC-based data acquisition hardware and…

Instrumentation and Detectors · Physics 2014-08-12 Xing Zhong , Sahar Keshavarz , Josh Jones , Claudia Mewes , Patrick R. LeClair

Accurate noise modelling is important for training of deep learning reconstruction algorithms. While noise models are well known for traditional imaging techniques, the noise distribution of a novel sensor may be difficult to determine a…

Machine Learning · Computer Science 2018-07-11 Felix Horger , Tobias Würfl , Vincent Christlein , Andreas Maier

We present a new approach, kernel regression, to determine photometric redshifts for 399,929 galaxies in the Fifth Data Release of the Sloan Digital Sky Survey (SDSS). In our case, kernel regression is a weighted average of spectral…

Astrophysics · Physics 2009-11-13 D. Wang , Y. X. Zhang , C. Liu , Y. H. Zhao

The use of quasicircular waveforms in matched-filter analyses of signals from eccentric binary neutron star mergers can lead to biases in the source's parameter estimation. We demonstrate that significant biases can be present already for…

General Relativity and Quantum Cosmology · Physics 2025-10-23 Giulia Huez , Sebastiano Bernuzzi , Matteo Breschi , Rossella Gamba

In this paper, we discuss a new technique for measuring transceiver noise, skew, and for the detection of uncompensated transceiver impairments. The method consists on the introduction of frequency domain notch or notches at the…

Signal Processing · Electrical Eng. & Systems 2021-10-04 F. J. Vaquero-Caballero , D. J. Ives , S. J. Savory

We introduce an analytical kernel, the "cusp" kernel, to model the effects of velocity-changing collisions on optically pumped atoms in low-pressure buffer gases. Like the widely used Keilson-Storer kernel [J. Keilson and J. E. Storer, Q.…

Atomic Physics · Physics 2013-02-12 B. H. McGuyer , R. Marsland , B. A. Olsen , W. Happer

We propose a test for model specification of a parametric diffusion process based on a kernel estimation of the transitional density of the process. The empirical likelihood is used to formulate a statistic, for each kernel smoothing…

Statistics Theory · Mathematics 2009-09-29 Song Xi Chen , Jiti Gao , Cheng Yong Tang

We study the robustness of quantum key distribution protocols using discrete or continuous variables to the channel noise. We introduce the model of such noise based on coupling of the signal to a thermal reservoir, typical for…

Quantum Physics · Physics 2017-06-12 Mikołaj Lasota , Radim Filip , Vladyslav C. Usenko

This paper addresses the problem of detecting boundary points and estimating the sampling density of a dataset derived from a compact manifold with boundary, potentially in the presence of noise. We extend recent advances in doubly…

Statistics Theory · Mathematics 2026-04-03 Dhruv Kohli , Jesse He , Chester Holtz , Alexander Cloninger , Gal Mishne

The paper proposes a novel Kernelized image segmentation scheme for noisy images that utilizes the concept of Smallest Univalue Segment Assimilating Nucleus (SUSAN) and incorporates spatial constraints by computing circular colour map…

Computer Vision and Pattern Recognition · Computer Science 2016-03-30 Satrajit Mukherjee , Bodhisattwa Prasad Majumder , Aritran Piplai , Swagatam Das

Reconstructing the unknown spectrum of a given X-ray source is a common problem in a wide range of X-ray imaging tasks. For high-energy sources, transmission measurements are mostly used to recover the X-ray spectrum, as a solution to an…

Applied Physics · Physics 2023-07-13 Arthur Walker , Alexandre Friou , Kevin Ginsburger

In this work, we propose a full-waveform technique for the spatial reconstruction and characterization of (micro-) seismic events via joint source location and moment tensor inversion. The approach is formulated in the frequency domain, and…

Computational Physics · Physics 2020-07-15 Alan A. S. Amad , Antonio A. Novotny , Bojan B. Guzina

Seismic noise with an amplitude higher than that of the sought signal is a challenge for detection. Several techniques have been developed to suppress the ambient noise and to reduce the detection threshold in order to find signals with the…

Geophysics · Physics 2026-04-27 Ivan Kitov

We consider the problem of causal structure learning in the setting of heterogeneous populations, i.e., populations in which a single causal structure does not adequately represent all population members, as is common in biological and…

Machine Learning · Statistics 2022-02-21 Alex Markham , Richeek Das , Moritz Grosse-Wentrup

Quantum sensing with solid-state spin defects has transformed nanoscale metrology, offering sub-wavelength spatial resolution with exceptional sensitivity to multiple signal types. Maximizing these advantages requires minimizing both the…

Nonlocal operators with integral kernels have become a popular tool for designing solution maps between function spaces, due to their efficiency in representing long-range dependence and the attractive feature of being resolution-invariant.…

Machine Learning · Statistics 2022-05-24 Fei Lu , Qingci An , Yue Yu

Gravitational wave backgrounds generate correlated noises to separated detectors. This correlation can induce statistical losses to actual detector networks, compared with idealized noise-independent networks. Assuming that the backgrounds…

General Relativity and Quantum Cosmology · Physics 2021-09-29 Naoki Seto

Accurately measuring the translations of objects between images is essential in many fields, including biology, medicine, chemistry, and physics. One important application is tracking one or more particles by measuring their apparent…

We consider a Neyman-Pearson (NP) distributed binary detection problem in a bandwidth constrained wireless sensor network, where the fusion center (FC) is responsible for fusing signals received from sensors and making a final decision…

Signal Processing · Electrical Eng. & Systems 2019-06-18 Nahal Maleki , Azadeh Vosoughi