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Sparse representations have emerged as a powerful tool in signal and information processing, culminated by the success of new acquisition and processing techniques such as Compressed Sensing (CS). Fusion frames are very rich new signal…

Information Theory · Computer Science 2011-06-20 Petros T. Boufounos , Gitta Kutyniok , Holger Rauhut

We introduce Contrastive Multivariate Singular Spectrum Analysis, a novel unsupervised method for dimensionality reduction and signal decomposition of time series data. By utilizing an appropriate background dataset, the method transforms a…

Machine Learning · Statistics 2018-11-01 Abdi-Hakin Dirie , Abubakar Abid , James Zou

We obtain for the Kempner series (i.e. harmonic series where certain digits are excluded from all denominators, for example the digit 9 in base 10) new representations as geometrically convergent series. The coefficients for these…

Number Theory · Mathematics 2025-12-16 Jean-François Burnol

Recent saliency models extensively explore to incorporate multi-scale contextual information from Convolutional Neural Networks (CNNs). Besides direct fusion strategies, many approaches introduce message-passing to enhance CNN features or…

Computer Vision and Pattern Recognition · Computer Science 2019-09-11 Yingyue Xu , Dan Xu , Xiaopeng Hong , Wanli Ouyang , Rongrong Ji , Min Xu , Guoying Zhao

The presence of nearby conformal field theories (CFTs) hidden in the complex plane of the tuning parameter was recently proposed as an elegant explanation for the ubiquity of "weakly first-order" transitions in condensed matter and…

Statistical Mechanics · Physics 2023-10-04 Arijit Haldar , Omid Tavakol , Han Ma , Thomas Scaffidi

Recent years have witnessed the success of deep networks in compressed sensing (CS), which allows for a significant reduction in sampling cost and has gained growing attention since its inception. In this paper, we propose a new practical…

Computer Vision and Pattern Recognition · Computer Science 2024-11-21 Bin Chen , Jian Zhang

Discrete Fourier transforms~(DFTs) over finite fields have widespread applications in digital communication and storage systems. Hence, reducing the computational complexities of DFTs is of great significance. Recently proposed cyclotomic…

Information Theory · Computer Science 2015-05-19 Xuebin Wu , Meghanad Wagh , Ning Chen , Zhiyuan Yan , Ying Wang

We consider the problem of reconstructing time sequences of spatially sparse signals (with unknown and time-varying sparsity patterns) from a limited number of linear "incoherent" measurements, in real-time. The signals are sparse in some…

Information Theory · Computer Science 2016-11-17 Namrata Vaswani

We consider the problem of change-point estimation of the instantaneous phase of an observed time series. Such change points, or phase shifts, can be markers of information transfer in complex systems; their analysis occurring in geology,…

Applications · Statistics 2014-01-17 William Marshall , Paul Marriott

We propose a new framework for cooperative spectrum sensing in cognitive radio networks, that is based on a novel class of non-uniform samplers, called the event-triggered samplers, and sequential detection. In the proposed scheme, each…

Applications · Statistics 2015-06-03 Yasin Yilmaz , George Moustakides , Xiaodong Wang

Compressive sensing (CS) is a new technology which allows the acquisition of signals directly in compressed form, using far fewer measurements than traditional theory dictates. Recently, many so-called signal space methods have been…

Numerical Analysis · Mathematics 2015-11-13 Xiaoyi Gu , Deanna Needell , Shenyinying Tu

This paper introduces a new theory of multiparty session types based on symmetric sum types, by which we can type non-deterministic orchestration choice behaviours. While the original branching type in session types can represent a choice…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-12-01 Lasse Nielsen , Nobuko Yoshida , Kohei Honda

We outline a new algorithm to solve coupled systems of differential equations in one continuous variable $x$ (resp. coupled difference equations in one discrete variable $N$) depending on a small parameter $\epsilon$: given such a system…

Symbolic Computation · Computer Science 2014-07-11 Johannes Bluemlein , Abilio De Freitas , Carsten Schneider

An emerging way to deal with high-dimensional non-euclidean data is to assume that the underlying structure can be captured by a graph. Recently, ideas have begun to emerge related to the analysis of time-varying graph signals. This work…

Machine Learning · Computer Science 2017-05-08 Francesco Grassi , Andreas Loukas , Nathanaël Perraudin , Benjamin Ricaud

We present a new distributed model of probabilistically checkable proofs (PCP). A satisfying assignment $x \in \{0,1\}^n$ to a CNF formula $\varphi$ is shared between two parties, where Alice knows $x_1, \dots, x_{n/2}$, Bob knows…

Computational Complexity · Computer Science 2017-11-02 Amir Abboud , Aviad Rubinstein , Ryan Williams

Graph signal processing (GSP) facilitates the analysis of high-dimensional data on non-Euclidean domains by utilizing graph signals defined on graph vertices. In addition to static data, each vertex can provide continuous time-series…

Signal Processing · Electrical Eng. & Systems 2025-02-21 Tuna Alikaşifoğlu , Bünyamin Kartal , Eray Özgünay , Aykut Koç

In this paper, a new cooperation structure for spectrum sensing in cognitive radio networks is proposed which outperforms the existing commonly-used ones in terms of energy efficiency. The efficiency is achieved in the proposed design by…

Information Theory · Computer Science 2015-09-11 Younes Abdi , Tapani Ristaniemi

This paper presents a new method to classify 1D signals using the signed cumulative distribution transform (SCDT). The proposed method exploits certain linearization properties of the SCDT to render the problem easier to solve in the SCDT…

Signal Processing · Electrical Eng. & Systems 2022-02-28 Abu Hasnat Mohammad Rubaiyat , Mohammad Shifat-E-Rabbi , Yan Zhuang , Shiying Li , Gustavo K. Rohde

Recently, transformer networks have outperformed traditional deep neural networks in natural language processing and show a large potential in many computer vision tasks compared to convolutional backbones. In the original transformer,…

Computer Vision and Pattern Recognition · Computer Science 2023-03-03 Chen-Chou Lo , Patrick Vandewalle

If digital video data is transmitted over unreliable channels such as the internet or wireless terminals, the risk of severe image distortion due to transmission errors is ubiquitous. To cope with this, error concealment can be applied on…

Image and Video Processing · Electrical Eng. & Systems 2022-07-11 Jürgen Seiler , André Kaup
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