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In this paper, we provide a Graph Fourier Transform based approach to downsample signals on graphs. For bandlimited signals on a graph, a test is provided to identify whether signal reconstruction is possible from the given downsampled…

Other Statistics · Statistics 2016-12-23 Nileshkumar Vaishnav , Aditya Tatu

Sparse signals can be recovered from a reduced set of samples by using compressive sensing algorithms. In common methods the signal is recovered in the sparse domain. A method for the reconstruction of sparse signal which reconstructs the…

Information Theory · Computer Science 2015-04-28 Ljubisa Stankovic , Milos Dakovic

Consider a data set collected by (individuals-features) pairs in different times. It can be represented as a tensor of three dimensions (Individuals, features and times). The tensor biclustering problem computes a subset of individuals and…

Machine Learning · Computer Science 2019-03-12 Andriantsiory Dina Faneva , Mustapha Lebbah , Hanane Azzag , Gaël Beck

In recent work, redressed warped frames have been introduced for the analysis and synthesis of audio signals with non-uniform frequency and time resolutions. In these frames, the allocation of frequency bands or time intervals of the…

Sound · Computer Science 2018-12-11 Thomas Mejstrik , Gianpaolo Evangelista

This paper investigates inverse source problems for time-dependent electromagnetic waves governed by Maxwell's equations. After applying the Fourier transform with respect to time, the problem leads to a frequency-domain electromagnetic…

Numerical Analysis · Mathematics 2026-03-11 Fenglin Sun , Hongxia Guo

Compressed Sensing suggests that the required number of samples for reconstructing a signal can be greatly reduced if it is sparse in a known discrete basis, yet many real-world signals are sparse in a continuous dictionary. One example is…

Information Theory · Computer Science 2015-07-24 Yuanxin Li , Yuejie Chi

Representation learning frameworks in unlabeled time series have been proposed for medical signal processing. Despite the numerous excellent progresses have been made in previous works, we observe the representation extracted for the time…

Signal Processing · Electrical Eng. & Systems 2024-01-12 Luyuan Xie , Cong Li , Xin Zhang , Shengfang Zhai , Yuejian Fang , Qingni Shen , Zhonghai Wu

Recently, computational sampling methods have been implemented to spatially characterize terahertz (THz) fields. Previous methods usually rely on either specialized THz devices such as THz spatial light modulators, or complicated systems…

Optics · Physics 2019-06-19 Jiapeng Zhao , Yiwen E , Kaia Williams , Xi-cheng Zhang , Robert Boyd

Recent advances in optical systems make them ideal for undersampling multiband signals that have high bandwidths. In this paper we propose a new scheme for reconstructing multiband sparse signals using a small number of sampling channels.…

Information Theory · Computer Science 2008-06-04 Michael Fleyer , Amir Rosenthal , Alex Linden , Moshe Horowitz

Objective: The transmit encoding model for synthetic aperture imaging is a robust and flexible framework for understanding the effects of acoustic transmission on ultrasound image reconstruction. Our objective is to use machine learning…

Medical Physics · Physics 2024-06-21 Jacob Spainhour , Korben Smart , Stephen Becker , Nick Bottenus

In this paper, we introduce a novel waveletbased algorithm for reconstructing time-domain impulse responses from band-limited scattering parameters (frequencydomain data) with a particular focus on ship hull applications. We establish the…

Signal Processing · Electrical Eng. & Systems 2024-12-16 Shantia Yarahmadian , Maryam Rahmani , Michael Mazzola

The EMD algorithm, first proposed in [11], made more robust as well as more versatile in [12], is a technique that aims to decompose into their building blocks functions that are the superposition of a (reasonably) small number of…

Numerical Analysis · Mathematics 2009-12-15 Ingrid Daubechies , Jianfeng Lu , Hau-Tieng Wu

The paper analyses the possibility to recover different biomedical signals if limited number of samples is available. Having in mind that monitoring of health condition is done by measuring and observing key parameters such as heart…

Signal Processing · Electrical Eng. & Systems 2018-02-02 Ivan Martinovic , Vesna Mandic

Decoding language from neural signals holds considerable theoretical and practical importance. Previous research has indicated the feasibility of decoding text or speech from invasive neural signals. However, when using non-invasive neural…

Human-Computer Interaction · Computer Science 2023-09-15 Bo Wang , Xiran Xu , Longxiang Zhang , Boda Xiao , Xihong Wu , Jing Chen

The tandem mass spectrometry fragments a large number of molecules of the same peptide sequence into charged prefix and suffix subsequences, and then measures mass/charge ratios of these ions. The de novo peptide sequencing problem is to…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Ting Chen , Ming-Yang Kao , Matthew Tepel , John Rush , George M. Church

The framework of ultrasound computed tomography (USCT) has recently re-emerged as a powerful, safe and operator-independent way to image the breast. State of the art image reconstruction methods are performed with iterative techniques based…

Medical Physics · Physics 2025-08-13 Luca A. Forte

Compressed sensing is a signal processing method that acquires data directly in a compressed form. This allows one to make less measurements than what was considered necessary to record a signal, enabling faster or more precise measurement…

Statistical Mechanics · Physics 2012-08-20 Florent Krzakala , Marc Mézard , François Sausset , Yifan Sun , Lenka Zdeborová

Modal decomposition techniques, such as Empirical Mode Decomposition (EMD), Variational Mode Decomposition (VMD), and Singular Spectrum Analysis (SSA), have advanced time-frequency signal analysis since the early 21st century. These methods…

Signal Processing · Electrical Eng. & Systems 2025-10-29 Wang Hao , Kuang Zhang , Hou Chengyu , Yang Yifan , Tan Chenxing , Fu Weifeng

Emerging sonography techniques often require increasing the number of transducer elements involved in the imaging process. Consequently, larger amounts of data must be acquired and processed. The significant growth in the amounts of data…

Information Theory · Computer Science 2015-06-04 Noam Wagner , Yonina C. Eldar , Zvi Friedman

Effectively modeling time information and incorporating it into applications or models involving chronologically occurring events is crucial. Real-world scenarios often involve diverse and complex time patterns, which pose significant…

Machine Learning · Computer Science 2025-05-15 Xi Chen , Yateng Tang , Jiarong Xu , Jiawei Zhang , Siwei Zhang , Sijia Peng , Xuehao Zheng , Yun Xiong