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Compressive Sensing via Nonlocal Smoothed Rank Function. [PDF]

open access: yesPLoS ONE, 2016
Compressive sensing (CS) theory asserts that we can reconstruct signals and images with only a small number of samples or measurements. Recent works exploiting the nonlocal similarity have led to better results in various CS studies.
Ya-Ru Fan   +3 more
doaj   +2 more sources

Beyond Zipf's Law: The Lavalette Rank Function and Its Properties. [PDF]

open access: yesPLoS ONE, 2016
Although Zipf's law is widespread in natural and social data, one often encounters situations where one or both ends of the ranked data deviate from the power-law function.
Oscar Fontanelli   +4 more
doaj   +2 more sources

Tensor Completion via Smooth Rank Function Low-Rank Approximate Regularization

open access: yesRemote Sensing, 2023
In recent years, the tensor completion algorithm has played a vital part in the reconstruction of missing elements within high-dimensional remote sensing image data.
Shicheng Yu   +5 more
doaj   +3 more sources

Subspace Segmentation by Low Rank Representation via the Sparse-Prompting Quasi-Rank Function

open access: yesIEEE Access, 2022
In this paper, a general optimization formulation is proposed for the subspace segmentation by low rank representation via the sparse-prompting quasi-rank function.
Haiyang Li   +5 more
doaj   +3 more sources

Dual Artificial Variable-Free Simplex Algorithm for Solving Neutrosophic Linear Programming Problems [PDF]

open access: yesNeutrosophic Sets and Systems, 2021
This paper presents a simplified form of dual simplex algorithm for solving linear programming problems with fuzzy and neutrosophic numbers which supplies some great benefits over phase 1 of traditional dual simplex algorithm.
Aya Rabie   +3 more
doaj   +1 more source

Information Inequalities via Submodularity and a Problem in Extremal Graph Theory

open access: yesEntropy, 2022
The present paper offers, in its first part, a unified approach for the derivation of families of inequalities for set functions which satisfy sub/supermodularity properties.
Igal Sason
doaj   +1 more source

Ranks with Respect to a Projective Variety and a Cost-Function

open access: yesAppliedMath, 2022
Let X⊂Pr be an integral and non-degenerate variety. A “cost-function” (for the Zariski topology, the semialgebraic one, or the Euclidean one) is a semicontinuous function w:=[1,+∞)∪+∞ such that w(a)=1 for a non-empty open subset of X.
Edoardo Ballico
doaj   +1 more source

A Unified Scalable Equivalent Formulation for Schatten Quasi-Norms

open access: yesMathematics, 2020
The Schatten quasi-norm is an approximation of the rank, which is tighter than the nuclear norm. However, most Schatten quasi-norm minimization (SQNM) algorithms suffer from high computational cost to compute the singular value decomposition (SVD) of ...
Fanhua Shang   +5 more
doaj   +1 more source

Eventual linear ranking functions [PDF]

open access: yesProceedings of the 15th Symposium on Principles and Practice of Declarative Programming, 2013
Program termination is a hot research topic in program analysis. The last few years have witnessed the development of termination analyzers for programming languages such as C and Java with remarkable precision and performance. These systems are largely based on techniques and tools coming from the field of declarative constraint programming.
BAGNARA, Roberto, MESNARD F.
openaire   +3 more sources

A Nonconvex Method to Low-Rank Matrix Completion

open access: yesIEEE Access, 2022
In recent years, the problem of recovering a low-rank matrix from partial entries, known as low-rank matrix completion problem, has attracted much attention in many applications.
Haizhen He   +3 more
doaj   +1 more source

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