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Like the ordinary power spectrum, higher-order spectra (HOS) describe signal properties that are invariant under translations in time. Unlike the power spectrum, HOS retain phase information from which details of the signal waveform can be…

Signal Processing · Electrical Eng. & Systems 2019-08-27 Christopher K. Kovach , Matthew A. Howard

We propose a novel automatic parameter selection strategy for variational imaging problems under Poisson noise corruption. The selection of a suitable regularization parameter, whose value is crucial in order to achieve high quality…

Numerical Analysis · Mathematics 2022-07-22 Francesca Bevilacqua , Alessandro Lanza , Monica Pragliola , Fiorella Sgallari

We develop the pruned continuous Haar transform and the fast continuous Fourier series, two fast and efficient algorithms for rectilinear polygons. Rectilinear polygons are used in VLSI processes to describe design and mask layouts of…

Computational Engineering, Finance, and Science · Computer Science 2010-10-28 Robin Scheibler , Paul Hurley , Amina Chebira

A Bayesian coreset is a small, weighted subset of data that replaces the full dataset during Bayesian inference, with the goal of reducing computational cost. Although past work has shown empirically that there often exists a coreset with…

Machine Learning · Statistics 2023-01-13 Naitong Chen , Zuheng Xu , Trevor Campbell

High-Resolution Transmission Electron Microscopy (HRTEM) enables atomic-scale observation of nucleation dynamics, which boosts the studies of advanced solid materials. Nonetheless, due to the millisecond-scale rapid change of nucleation, it…

Computer Vision and Pattern Recognition · Computer Science 2026-03-20 Hesong Li , Ziqi Wu , Ruiwen Shao , Ying Fu

This paper introduces a novel ridgelet transform-based method for Poisson image denoising. Our work focuses on harnessing the Poisson noise's unique non-additive and signal-dependent properties, distinguishing it from Gaussian noise. The…

Methodology · Statistics 2024-01-31 Ali Dadras , Klara Leffler , Jun Yu

The probability hypothesis density (PHD) and multi-target multi-Bernoulli (MeMBer) filters are two leading algorithms that have emerged from random finite sets (RFS). In this paper we study a method which combines these two approaches. Our…

Systems and Control · Computer Science 2015-03-20 Jason L. Williams

This paper introduces a novel method to separate noisy speech into low or high frequency frames, in order to improve fundamental frequency (F0) estimation accuracy. In this proposal, the target signal is analyzed by means of the ensemble…

Audio and Speech Processing · Electrical Eng. & Systems 2021-12-21 A. Queiroz , R. Coelho

The matched filter (MF) is widely used to detect signals hidden within the noise. If the noise is Gaussian, its performances are well-known and describable in an elegant analytical form. The treatment of non-Gaussian noises is often…

Instrumentation and Methods for Astrophysics · Physics 2018-08-08 Roberto Vio , Paola Andreani

In this work, we tackle a denoising and dereverberation problem with a single-stage framework. Although denoising and dereverberation may be considered two separate challenging tasks, and thus, two modules are typically required for each…

Audio and Speech Processing · Electrical Eng. & Systems 2020-06-02 Hyeong-Seok Choi , Hoon Heo , Jie Hwan Lee , Kyogu Lee

Two-sample hypothesis testing for network comparison presents many significant challenges, including: leveraging repeated network observations and known node registration, but without requiring them to operate; relaxing strong structural…

Methodology · Statistics 2024-02-05 Meijia Shao , Dong Xia , Yuan Zhang , Qiong Wu , Shuo Chen

State-of-the-art simulations of reionisation-era 21-cm signal have limited volumes, generally orders of magnitude smaller than observations. Consequently, the Fourier modes in common between simulation and observation have limited overlap,…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-19 Daniela Breitman , Andrei Mesinger , Steven G. Murray , Anshuman Acharya

In PET, the amount of relative (signal-dependent) noise present in different body regions can be significantly different and is inherently related to the number of counts present in that region. The number of counts in a region depends, in…

Image and Video Processing · Electrical Eng. & Systems 2022-12-20 Ye Li , Jianan Cui , Junyu Chen , Guodong Zeng , Scott Wollenweber , Floris Jansen , Se-In Jang , Kyungsang Kim , Kuang Gong , Quanzheng Li

Cosmological neutral hydrogen (HI) surveys provide a promising tomographic probe of the post-reionization era and of the standard model of cosmology. Simulations of this signal are crucial for maximizing the utility of these surveys. We…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-09 Pascal Hitz , Pascale Berner , Devin Crichton , John Hennig , Alexandre Refregier

The Poisson equation has many applications across the broad areas of science and engineering. Most quantum algorithms for the Poisson solver presented so far either suffer from lack of accuracy and/or are limited to very small sizes of the…

Low-light image denoising and enhancement are challenging, especially when traditional noise assumptions, such as Gaussian noise, do not hold in majority. In many real-world scenarios, such as low-light imaging, noise is signal-dependent…

Image and Video Processing · Electrical Eng. & Systems 2025-11-03 Isha Rao , Ratul Chakraborty , Sanjay Ghosh

Confidence intervals for a binomial parameter or for the ratio of Poisson means are commonly desired in high energy physics (HEP) applications such as measuring a detection efficiency or branching ratio. Due to the discreteness of the data,…

Data Analysis, Statistics and Probability · Physics 2009-12-23 Robert D. Cousins , Kathryn E. Hymes , Jordan Tucker

Deep neural networks are susceptible to poisoning attacks by purposely polluted training data with specific triggers. As existing episodes mainly focused on attack success rate with patch-based samples, defense algorithms can easily detect…

Cryptography and Security · Computer Science 2021-01-11 Jinyin Chen , Longyuan Zhang , Haibin Zheng , Xueke Wang , Zhaoyan Ming

This paper proposes a novel method to filter out the false alarm of LiDAR system by using the temporal correlation of target reflected photons. Because of the inevitable noise, which is due to background light and dark counts of the…

Instrumentation and Detectors · Physics 2017-08-22 Zhenchao Feng , Weiji He , Jian Fang , Guohua Gu , Qian Chen , Ping Zhang , Yuanjin Chen , Beibei Zhou , Minhua Zhou

This paper investigates the problem of sparse support detection (SSD) via a detection-oriented algorithm named Bayesian hypothesis test via belief propagation (BHT-BP). Our main focus is to compare BHT-BP to an estimation-based algorithm,…

Information Theory · Computer Science 2013-04-09 Jaewook Kang , Heung-No Lee , Kiseon Kim