Results 11 to 20 of about 756,826 (263)
On the Rank Function of a Differential Poset [PDF]
The Electronic Journal of Combinatorics, 2012 We study $r$-differential posets, a class of combinatorial objects introduced in 1988 by the first author, which gathers together a number of remarkable combinatorial and algebraic properties, and generalizes important examples of ranked posets, including the Young lattice.
Stanley, Richard P., Zanello, Fabrizio
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An O(n) invariant rank 1 convex function that is not polyconvex [PDF]
Theoretical and Applied Mechanics, 2002 An O(n) invariant nonnegative rank 1 convex function of linear growth is given that is not polyconvex. This answers a recent question [8, p. 182] and [5]. The polyconvex hull of the function is calculated explicitly if n = 2: .
Silhavy M.
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Ranking with submodular functions on a budget
Data Mining and Knowledge Discovery, 2022 AbstractSubmodular maximization has been the backbone of many important machine-learning problems, and has applications to viral marketing, diversification, sensor placement, and more. However, the study of maximizing submodular functions has mainly been restricted in the context of selecting a set of items.
Guangyi Zhang 0001 +2 more
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Log-rank and lifting for AND-functions [PDF]
Proceedings of the 53rd Annual ACM SIGACT Symposium on Theory of Computing, 2021 20 pages; comments welcome!
Alexander Knop +3 more
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Rank dynamics for functional data
Computational Statistics & Data Analysis, 2020 The study of the dynamic behavior of cross-sectional ranks over time for functional data and the ranks of the observed curves at each time point and their temporal evolution can yield valuable insights into the time dynamics of functional data. This approach is of interest in various application areas.
Yaqing Chen 0003 +2 more
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On the ranks of bent functions
Finite Fields and Their Applications, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guobiao Weng +2 more
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A new matroid constructed by the rank function of a matroid
AKCE International Journal of Graphs and Combinatorics, 2020 In this article, we construct a submodular function using the rank function of a matroid and study induced matroid with constructed polymatroid, then we relate some properties of connectivity of new matroid with the main matroid.
Moein Pourbaba +2 more
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Entropy, 2023 Utilizing low-rank prior data in compressed sensing (CS) schemes for Landsat 8–9 remote sensing images (RSIs) has recently received widespread attention. Nevertheless, most CS algorithms focus on the sparsity of an RSI and ignore its low-rank (LR) nature.
Guibing Li +6 more
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Discrete Mathematics, 1987 The set L(n,r) of all possible results where n-competitors are matched in a series of r races is studied. The presented results are extensions of those obtained in \textit{W. J. Walker}'s paper ``Ranking functions and axioms for linear orders'' [reviewed above (see Zbl 0646.06003)].
Vojtech Rödl, William T. Trotter
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Matrix completion via modified schatten 2/3-norm
EURASIP Journal on Advances in Signal Processing, 2023 Low-rank matrix completion is a hot topic in the field of machine learning. It is widely used in image processing, recommendation systems and subspace clustering.
Jincai Ha +3 more
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