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A new sparse SOS decomposition algorithm is proposed based on a new sparsity pattern, called cross sparsity patterns. The new sparsity pattern focuses on the sparsity of terms and thus is different from the well-known correlative sparsity…

Optimization and Control · Mathematics 2019-01-23 Jie Wang , Haokun Li , Bican Xia

Reconstruction of undersampled periodic signals of unknown period is an important signal processing operation. It is especially difficult operation when the sequences of samples are short and no information on the inter-sequence time…

Signal Processing · Electrical Eng. & Systems 2021-05-18 Marek W. Rupniewski

Estimating parameters and properties of various materials without causing damage to the material under test (MUT) is important in many applications. Thus, in this letter, we address this by wireless sensing. Here, the accuracy of the…

Signal Processing · Electrical Eng. & Systems 2020-10-29 Udaya S. K. P. Miriya Thanthrige , Jan Barowski , Ilona Rolfes , Daniel Erni , Thomas Kaiser , Aydin Sezgin

We formulate a unified framework for the separation of signals that are sparse in "morphologically" different redundant dictionaries. This formulation incorporates the so-called "analysis" and "synthesis" approaches as special cases and…

Information Theory · Computer Science 2016-11-17 Céline Aubel , Christoph Studer , Graeme Pope , Helmut Bölcskei

Despite their recent popularity and well-known advantages, dense retrievers still lag behind sparse methods such as BM25 in their ability to reliably match salient phrases and rare entities in the query and to generalize to out-of-domain…

Computation and Language · Computer Science 2022-11-15 Xilun Chen , Kushal Lakhotia , Barlas Oğuz , Anchit Gupta , Patrick Lewis , Stan Peshterliev , Yashar Mehdad , Sonal Gupta , Wen-tau Yih

Due to excessive need for faster propagations of signals and necessity to reduce number of measurements and rapidly increase efficiency, new sensing theories have been proposed. Conventional sampling approaches that follow Shannon-Nyquist…

Signal Processing · Electrical Eng. & Systems 2019-02-21 Milan Resetar , Gojko Ratkovic , Svetlana Zecevic

In recent years, end-to-end learnt video codecs have demonstrated their potential to compete with conventional coding algorithms in term of compression efficiency. However, most learning-based video compression models are associated with…

Image and Video Processing · Electrical Eng. & Systems 2024-07-02 Tianhao Peng , Ge Gao , Heming Sun , Fan Zhang , David Bull

Vision-Language Pretrained (VLP) models have achieved impressive performance on multimodal tasks, including text-image retrieval, based on dense representations. Meanwhile, Learned Sparse Retrieval (LSR) has gained traction in text-only…

Computation and Language · Computer Science 2025-08-26 Jonghyun Song , Youngjune Lee , Gyu-Hwung Cho , Ilhyeon Song , Saehun Kim , Yohan Jo

In many data acquisition systems it is common to observe signals whose amplitudes have been clipped. We present two new algorithms for recovering a clipped signal by leveraging the model assumption that the underlying signal is sparse in…

Information Theory · Computer Science 2011-10-25 Alejandro J. Weinstein , Michael B. Wakin

Topological data analysis (TDA) has emerged as one of the most promising techniques to reconstruct the unknown shapes of high-dimensional spaces from observed data samples. TDA, thus, yields key shape descriptors in the form of persistent…

Machine Learning · Statistics 2017-11-15 Wei Guo , Krithika Manohar , Steven L. Brunton , Ashis G. Banerjee

Finding sparse solutions of underdetermined systems of linear equations is a fundamental problem in signal processing and statistics which has become a subject of interest in recent years. In general, these systems have infinitely many…

Machine Learning · Statistics 2010-09-21 Arash Ali Amini , Massoud Babaie-Zadeh , Christian Jutten

The paper presents a method for improving spatial resolution of first-order ambisonic audio. The method is based on time/frequency decomposition of the audio with subsequent extraction of a directed plane wave from each frequency component.…

Sound · Computer Science 2023-12-14 Denis Likhachov , Nick Petrovsky , Elias Azarov

Sparse document representations have been widely used to retrieve relevant documents via exact lexical matching. Owing to the pre-computed inverted index, it supports fast ad-hoc search but incurs the vocabulary mismatch problem. Although…

Information Retrieval · Computer Science 2023-10-06 Eunseong Choi , Sunkyung Lee , Minjin Choi , Hyeseon Ko , Young-In Song , Jongwuk Lee

Sparse recovery Space-time Adaptive Processing (STAP) can reduce the requirements of clutter samples, and suppress clutter effectively using limited training samples for airborne radar. The whole angle-Doppler plane is discretized into…

Signal Processing · Electrical Eng. & Systems 2020-04-10 Tao Zhang , Hai Li , Yongsheng Hu , Ran Lai , Juncheng Guo

Given a convolutional dictionary underlying a set of observed signals, can a carefully designed auto-encoder recover the dictionary in the presence of noise? We introduce an auto-encoder architecture, termed constrained recurrent sparse…

Machine Learning · Computer Science 2018-07-13 Bahareh Tolooshams , Sourav Dey , Demba Ba

We consider the problem of recovering signals from their power spectral density. This is a classical problem referred to in literature as the phase retrieval problem, and is of paramount importance in many fields of applied sciences. In…

Information Theory · Computer Science 2013-11-12 Kishore Jaganathan , Samet Oymak , Babak Hassibi

Synthetic Aperture Radar (SAR) images are widely used in remote sensing due to their all-weather, all-day imaging capabilities. However, SAR images are highly susceptible to noise, particularly speckle noise, caused by the coherent imaging…

Information Theory · Computer Science 2024-12-25 Xuran Hu , Mingzhe Zhu , Djordje Stanković , Zhenpeng Feng , Shouhan Mao , Ljubiša Stanković

Spatially-adaptive normalization is remarkably successful recently in conditional semantic image synthesis, which modulates the normalized activation with spatially-varying transformations learned from semantic layouts, to preserve the…

Computer Vision and Pattern Recognition · Computer Science 2020-04-07 Zhentao Tan , Dongdong Chen , Qi Chu , Menglei Chai , Jing Liao , Mingming He , Lu Yuan , Nenghai Yu

Seismic attributes calculated by conventional methods are susceptible to noise. Conventional filtering reduces the noise in the cost of losing the spectral bandwidth. The challenge of having a high-resolution and robust signal processing…

Geophysics · Physics 2020-12-02 M. Kazemnia Kakhki , W. J. Mansur , K. Aghazadeh

Reconstruction fidelity of sparse signals contaminated by sparse noise is considered. Statistical mechanics inspired tools are used to show that the l1-norm based convex optimization algorithm exhibits a phase transition between the…

Information Theory · Computer Science 2013-09-17 Mikko Vehkapera , Yoshiyuki Kabashima , Saikat Chatterjee