On a transport problem and monoids of non-negative integers
Sign Up to like & getrecommendations! Published in 2018 at "Aequationes mathematicae"
DOI: 10.1007/s00010-018-0572-5
Abstract: A problem about how to transport profitably a group of cars leads us to studying the set T formed by the integers n such that the system of inequalities, with non-negative integer coefficients, $$\begin{aligned} a_1x_1… read more here.
Keywords: negative integers; problem; transport problem; non negative ... See more keywords
Factorizations of polynomials with integral non-negative coefficients
Sign Up to like & getrecommendations! Published in 2018 at "Semigroup Forum"
DOI: 10.1007/s00233-018-9979-5
Abstract: We study the structure of the commutative multiplicative monoid $$\mathbb {N}_0[x]^*$$N0[x]∗ of all the non-zero polynomials in $$\mathbb {Z}[x]$$Z[x] with non-negative coefficients. The monoid $$\mathbb {N}_0[x]^*$$N0[x]∗ is not half-factorial and is not a Krull monoid,… read more here.
Keywords: polynomials integral; non negative; factorizations polynomials; monoid mathbb ... See more keywords
Completion of multiview missing data based on multi-manifold regularised non-negative matrix factorisation
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DOI: 10.1007/s10462-020-09824-7
Abstract: In multi-source data analysis, the absence of data values or attributes is inevitably brought about by various influencing factors including environment, which results in the loss of knowledge to be conveyed by data. To solve… read more here.
Keywords: completion; multiview; multi manifold; non negative ... See more keywords
Kernel nonnegative representation-based classifier
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DOI: 10.1007/s10489-021-02486-0
Abstract: Non-negativity is a critical and explainable property in linear representation-based methods leading to promising performances in the pattern classification field. Based on the non-negativity, a powerful linear representation-based classifier was proposed, namely non-negative representation-based classifier… read more here.
Keywords: representation; representation based; based classifier; linear representation ... See more keywords
Competitive Non-negative Representation with Image Gradient Orientations for Face Recognition
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DOI: 10.1007/s11063-021-10650-3
Abstract: Non-negative representation based classification (NRC) has achieved encouraging results in various pattern classification applications. Unfortunately, it still has some deficiencies. First, regularization term is absent in the objective function of NRC, which may produce an… read more here.
Keywords: image gradient; non negative; negative representation; gradient orientations ... See more keywords
Optimal non-negative forecast reconciliation
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DOI: 10.1007/s11222-020-09930-0
Abstract: The sum of forecasts of disaggregated time series is often required to equal the forecast of the aggregate, giving a set of coherent forecasts. The least squares solution for finding coherent forecasts uses a reconciliation… read more here.
Keywords: algorithm; reconciliation; coherent forecasts; non negative ... See more keywords
Uniqueness and perturbation bounds for sparse non-negative tensor equations
Sign Up to like & getrecommendations! Published in 2018 at "Frontiers of Mathematics in China"
DOI: 10.1007/s11464-018-0707-y
Abstract: We discuss the uniqueness and the perturbation analysis for sparse non-negative tensor equations arriving from data sciences. By two different techniques, we may get better ranges of parameters to guarantee the uniqueness of the solution… read more here.
Keywords: sparse non; negative tensor; tensor; perturbation ... See more keywords
Finding a maximal element of a non-negative convex set through its characteristic cone: an application to finding a strictly complementary solution
Sign Up to like & getrecommendations! Published in 2018 at "Computational and Applied Mathematics"
DOI: 10.1007/s40314-016-0324-x
Abstract: In order to express a polyhedron as the Minkowski sum of a polytope and a polyhedral cone, Motzkin (Beiträge zur Theorie der linearen Ungleichungen. Dissertation, University of Basel, 1936) devised a homogenization technique that translates… read more here.
Keywords: maximal element; convex set; convex; non negative ... See more keywords
Orthogonal incremental non-negative matrix factorization algorithm and its application in image classification
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DOI: 10.1007/s40314-020-1091-2
Abstract: To improve the sparseness of the base matrix in incremental non-negative matrix factorization, we in this paper present a new method, orthogonal incremental non-negative matrix factorization algorithm (OINMF), which combines the orthogonality constraint with incremental… read more here.
Keywords: negative matrix; matrix; incremental non; matrix factorization ... See more keywords
Non-negative solutions to fractional Laplace equations with isolated singularity
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DOI: 10.1016/j.aim.2020.107329
Abstract: Abstract In this paper, we study singular solutions of linear problems with fractional Laplacian. First, we establish Bocher type theorems on a punctured ball via distributional approach. Then, we develop a few interesting maximum principles… read more here.
Keywords: solutions fractional; fractional laplace; negative solutions; laplace equations ... See more keywords
A kernel non-negative matrix factorization framework for single cell clustering
Sign Up to like & getrecommendations! Published in 2021 at "Applied Mathematical Modelling"
DOI: 10.1016/j.apm.2020.08.065
Abstract: Abstract The emergence of single-cell RNA-sequencing is ideally placed to unravel cellular heterogeneity in biological systems, an extremely challenging problem in single cell RNA-sequencing studies. However, most current computational approaches lack the sensitivity to reliably… read more here.
Keywords: matrix factorization; kernel non; cell; single cell ... See more keywords