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We consider the problem of characterizing the `duality gap' between sparse synthesis- and cosparse analysis-driven signal models through the lens of spectral graph theory, in an effort to comprehend their precise equivalencies and…

Discrete Mathematics · Computer Science 2022-04-06 Madeleine S. Kotzagiannidis , Mike E. Davies

In this paper, we consider the sparse eigenvalue problem wherein the goal is to obtain a sparse solution to the generalized eigenvalue problem. We achieve this by constraining the cardinality of the solution to the generalized eigenvalue…

Machine Learning · Statistics 2009-10-13 Bharath Sriperumbudur , David Torres , Gert Lanckriet

Coded polynomial aggregation (CPA) in distributed computing systems enables the master to directly recover a weighted aggregation of polynomial computations without individually decoding each term, thereby reducing the number of required…

Information Theory · Computer Science 2026-02-04 Xi Zhong , Jörg Kliewer , Mingyue Ji

In the SIGGRAPH 2014 paper [SvTSH14] an approach for animating deformable objects using sparse spacetime constraints is introduced. This report contains the proofs of two theorems presented in the paper.

Graphics · Computer Science 2014-05-09 Christian Schulz , Christoph von Tycowicz , Hans-Peter Seidel , Klaus Hildebrandt

Array structures based on the fourth-order difference co-array (FODCA) provide more degrees of freedom (DOF). However, since the growth of DOF is limited by a single case of fourth-order cumulant in FODCA, this paper aims to design a sparse…

Signal Processing · Electrical Eng. & Systems 2025-01-03 Si Wang , Guoqiang Xiao

A new version of classical S-procedure in system theory is proposed based on duality in the space of positive definite matrices and introduction of matrix Lagrange multipliers. A new proof and extension of the recent results of T.Iwasaki,…

Optimization and Control · Mathematics 2007-05-23 Alexander L. Fradkov

The computer vision community has developed numerous techniques for digitally restoring true scene information from single-view degraded photographs, an important yet extremely ill-posed task. In this work, we tackle image restoration from…

Computer Vision and Pattern Recognition · Computer Science 2025-03-19 Yucheng Mao , Boyang Wang , Nilesh Kulkarni , Jeong Joon Park

Consider the problem of sparse clustering, where it is assumed that only a subset of the features are useful for clustering purposes. In the framework of the COSA method of Friedman and Meulman, subsequently improved in the form of the…

Machine Learning · Statistics 2017-03-01 Ery Arias-Castro , Xiao Pu

In sparse recommender settings, users' context and item attributes play a crucial role in deciding which items to recommend next. Despite that, recent works in sequential and time-aware recommendations usually either ignore both aspects or…

Information Retrieval · Computer Science 2022-09-21 Ahmed Rashed , Shereen Elsayed , Lars Schmidt-Thieme

We present a novel method for solving Canonical Correlation Analysis (CCA) in a sparse convex framework using a least squares approach. The presented method focuses on the scenario when one is interested in (or limited to) a primal…

Machine Learning · Statistics 2009-08-20 David R. Hardoon , John Shawe-Taylor

In this paper we introduce a General Dynamic String-Averaging (GDSA) iterative scheme and investigate its convergence properties in the inconsistent case, that is, when the input operators don't have a common fixed point. The Dynamic…

Optimization and Control · Mathematics 2025-07-02 Kay Barshad , Yair Censor

The use of codes defined by sparse characteristic matrices, like QC-LDPC and QC-MDPC codes, has become an established solution to design secure and efficient code-based public-key encryption schemes, as also witnessed by the ongoing NIST…

Cryptography and Security · Computer Science 2022-05-26 Marco Baldi , Franco Chiaraluce , Paolo Santini

Weakly supervised semantic segmentation (WSSS) with image-level labels aims to achieve segmentation tasks without dense annotations. However, attributed to the frequent coupling of co-occurring objects and the limited supervision from…

Computer Vision and Pattern Recognition · Computer Science 2024-03-22 Zhiwei Yang , Kexue Fu , Minghong Duan , Linhao Qu , Shuo Wang , Zhijian Song

A new fault attack, double counting attack (DCA), on the precomputation of $2^t$-ary modular exponentiation for a classical RSA digital signature (i.e., RSA without the Chinese remainder theorem) is proposed. The $2^t$-ary method is the…

Cryptography and Security · Computer Science 2016-09-01 Masahiro Kaminaga , Hideki Yoshikawa , Toshinori Suzuki

Simultaneous sparse approximation is a generalization of the standard sparse approximation, for simultaneously representing a set of signals using a common sparsity model. Generalizing the compressive sensing concept to the simultaneous…

Information Theory · Computer Science 2018-09-18 Arash Golibagh Mahyari , Selin Aviyente

The sequence A268289 from the On-Line Encyclopedia of Integer Sequences, namely the cumulated differences between the number of digits 1 and the number of digits 0 in the binary expansion of consecutive integers, is studied here. This…

Number Theory · Mathematics 2019-11-12 Thomas Baruchel

We consider asymptotically exact inference on the leading canonical correlation directions and strengths between two high dimensional vectors under sparsity restrictions. In this regard, our main contribution is the development of a loss…

Statistics Theory · Mathematics 2022-02-10 Nilanjana Laha , Nathan Huey , Brent Coull , Rajarshi Mukherjee

Simultaneous sparse approximation (SSA) seeks to represent a set of dependent signals using sparse vectors with identical supports. The SSA model has been used in various signal and image processing applications involving multiple…

Computer Vision and Pattern Recognition · Computer Science 2022-03-21 Farshad G. Veshki , Sergiy A. Vorobyov

Sequential pattern mining (SPM) under gap constraint is a challenging task. Many efficient specialized methods have been developed but they are all suffering from a lack of genericity. The Constraint Programming (CP) approaches are not so…

Artificial Intelligence · Computer Science 2015-11-30 Amina Kemmar , Samir Loudni , Yahia Lebbah , Patrice Boizumault , Thierry Charnois

We propose a novel algorithm - Multifractal Cross-Correlation Analysis (MFCCA) - that constitutes a consistent extension of the Detrended Cross-Correlation Analysis (DCCA) and is able to properly identify and quantify subtle characteristics…

Data Analysis, Statistics and Probability · Physics 2014-02-25 Paweł Oświȩcimka , Stanisław Drożdż , Marcin Forczek , Stanisław Jadach , Jarosław Kwapień
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