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For compressive sensing of dynamic sparse signals, we develop an iterative pursuit algorithm. A dynamic sparse signal process is characterized by varying sparsity patterns over time/space. For such signals, the developed algorithm is able…

Statistics Theory · Mathematics 2012-10-15 Dave Zachariah , Saikat Chatterjee , Magnus Jansson

Matrix recovery from sparse observations is an extensively studied topic emerging in various applications, such as recommendation system and signal processing, which includes the matrix completion and compressed sensing models as special…

Methodology · Statistics 2026-04-13 Ziyuan Chen , Ying Yang , Fang Yao

Hashing has been widely used for efficient similarity search based on its query and storage efficiency. To obtain better precision, most studies focus on designing different objective functions with different constraints or penalty terms…

Data Structures and Algorithms · Computer Science 2018-10-02 Xingbo Liu , Xiushan Nie , Yilong Yin

The aim of this paper is to present a novel physics-based framework for the identification of dynamical systems, in which the physical and structural insights are reflected directly into a backpropagation-based learning algorithm. The main…

Systems and Control · Electrical Eng. & Systems 2025-06-06 Cesare Donati , Martina Mammarella , Fabrizio Dabbene , Carlo Novara , Constantino Lagoa

Dynamical sampling deals with signals that evolve in time under the action of a linear operator. The purpose of the present paper is to analyze the performance of the basic dynamical sampling algorithms in the finite dimensional case and…

Numerical Analysis · Mathematics 2018-10-16 Akram Aldroubi , Longxiu Huang , Ilya Krishtal , Akos Ledeczi , Roy R. Lederman , Peter Volgyesi

Although hash function learning algorithms have achieved great success in recent years, most existing hash models are off-line, which are not suitable for processing sequential or online data. To address this problem, this work proposes an…

Computer Vision and Pattern Recognition · Computer Science 2017-04-10 Long-Kai Huang , Qiang Yang , Wei-Shi Zheng

We propose a diagrammatic notation for matrix differentiation. Our new notation enables us to derive formulas for matrix differentiation more easily than the usual matrix (or index) notation. We demonstrate the effectiveness of our notation…

Signal Processing · Electrical Eng. & Systems 2022-07-12 Kenji Nakahira

Similarity-preserving hashing is a widely-used method for nearest neighbour search in large-scale image retrieval tasks. There has been considerable research on generating efficient image representation via the deep-network-based hashing…

Computer Vision and Pattern Recognition · Computer Science 2017-10-20 Hanjiang Lai , Yan Pan

Sorting and hashing are two completely different concepts in computer science, and appear mutually exclusive to one another. Hashing is a search method using the data as a key to map to the location within memory, and is used for rapid…

Data Structures and Algorithms · Computer Science 2007-05-23 William F. Gilreath

The purpose of this text is to provide an accessible introduction to a set of recently developed algorithms for factorizing matrices. These new algorithms attain high practical speed by reducing the dimensionality of intermediate…

Numerical Analysis · Mathematics 2019-02-08 Per-Gunnar Martinsson

With the growth of image on the web, research on hashing which enables high-speed image retrieval has been actively studied. In recent years, various hashing methods based on deep neural networks have been proposed and achieved higher…

Computer Vision and Pattern Recognition · Computer Science 2019-05-23 Yosuke Kaga , Masakazu Fujio , Kenta Takahashi , Tetsushi Ohki , Masakatsu Nishigaki

We derive an algorithm of optimal complexity which determines whether a given matrix is a Cauchy matrix, and which exactly recovers the Cauchy points defining a Cauchy matrix from the matrix entries. Moreover, we study how to approximate a…

Numerical Analysis · Mathematics 2015-12-22 Jörg Liesen , Robert Luce

This research will present a hybrid approach to accelerate convergence in a second order optimization. An online finite difference approximation of the diagonal Hessian matrix will be introduced, along with fuzzy inferencing of several…

Machine Learning · Computer Science 2024-03-26 Abdelaziz Bensadok , Muhammad Zeeshan Babar

The covering approximation space evolves in time due to the explosion of the information, and the characteristic matrixes of coverings viewed as an effective approach to approximating the concept should update with time for knowledge…

Information Theory · Computer Science 2015-03-13 Guangming Lang , Qingguo Li , Lankun Guo , Chunyong Wang

Hashing methods have been widely investigated for fast approximate nearest neighbor searching in large data sets. Most existing methods use binary vectors in lower dimensional spaces to represent data points that are usually real vectors of…

Computer Vision and Pattern Recognition · Computer Science 2019-04-19 Dayong Tian , Dacheng Tao

The objective of this paper is to take some aspects of disk scheduling and scheduling algorithms. The disk scheduling is discussed with a sneak peak in general and selection of algorithm in particular.

Operating Systems · Computer Science 2012-10-25 S. Yashvir , Om Prakash

In this paper a new fast algorithm for the computation of the distance of a matrix to a nearby defective matrix is presented. The problem is formulated following Alam & Bora (Linear Algebra Appl., 396 (2005), pp.~273--301) and reduces to…

Numerical Analysis · Mathematics 2012-11-05 Melina A. Freitag , Alastair Spence

Stochastic versions of proximal methods have gained much attention in statistics and machine learning. These algorithms tend to admit simple, scalable forms, and enjoy numerical stability via implicit updates. In this work, we propose and…

Machine Learning · Statistics 2024-09-09 Haoyu Jiang , Jason Xu

A novel parallel algorithm for matrix multiplication is presented. The hyper-systolic algorithm makes use of a one-dimensional processor abstraction. The procedure can be implemented on all types of parallel systems. It can handle…

Mathematical Software · Computer Science 2007-05-23 Thomas Lippert , Nikolay Petkov , Paolo Palazzari , Klaus Schilling

Metaheuristic search methods have proven to be essential tools for tackling complex optimization challenges, but their full potential is often constrained by conventional algorithmic frameworks. In this paper, we introduce a novel approach…

Artificial Intelligence · Computer Science 2024-10-23 Abdel-Rahman Hedar , Alaa E. Abdel-Hakim , Wael Deabes , Youseef Alotaibi , Kheir Eddine Bouazza