Results 31 to 40 of about 282,377 (316)
The minimum rank problem: A counterexample
Linear Algebra and its Applications, 2008 We provide a counterexample to a recent conjecture that the minimum rank of every sign pattern matrix can be realized by a rational matrix. We use one of the equivalences of the conjecture and some results from projective geometry. As a consequence of the counterexample, we show that there is a graph for which the minimum rank over the reals is ...
Kopparty, Swastik, Bhaskara Rao, K.P.S.
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Reliability of autoregressive error models as post-processors for probabilistic streamflow forecasts [PDF]
Advances in Geosciences, 2011 In this study, the reliability of different versions of autoregressive error models as post-processors for probabilistic streamflow forecasts is evaluated. Rank histograms and reliability indices are used as performance measures.
M. Morawietz, C.-Y. Xu, L. Gottschalk
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Projection onto the Set of Rank-Constrained Structured Matrices for Reduced-Order Controller Design
Algorithms, 2022 In this paper, we propose an efficient numerical computation method of reduced-order controller design for linear time-invariant systems. The design problem is described by linear matrix inequalities (LMIs) with a rank constraint on a structured matrix ...
Masaaki Nagahara, Yu Iwai, Noboru Sebe
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FEBS Letters, EarlyView.The physical dimensions and shape of bacterial cells define the surface area available to acquire nutrients and the volume available for synthesizing proteins and DNA. Here, we use computational systems biology to decode the importance of cell geometry as a major determinant of prokaryotic phenotype, including growth rate and metabolic efficiency. This
Ross P. Carlson +6 more
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Algorithms and literate programs for weighted low-rank approximation with missing data
, 2010 Linear models identification from data with missing values is posed as a weighted low-rank approximation problem with weights related to the missing values equal to zero.
Markovsky, Ivan, Ivan Markovsky
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A Rank-Based Assignment Lottery for an Assignment Problem
AppliedMathFor a traditional assignment problem with the same number of objects and agents, we introduce a new assignment lottery based on the notion of rank and analyze some of its properties.
Claudia Meo
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Local low-rank approach to nonlinear matrix completion
EURASIP Journal on Advances in Signal Processing, 2021 This paper deals with a problem of matrix completion in which each column vector of the matrix belongs to a low-dimensional differentiable manifold (LDDM), with the target matrix being high or full rank.
Ryohei Sasaki +3 more
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On the Orbit Problem of Free Lie Algebras
Journal of New Theory, 2023 By operationalizing $F_{n}$ as a free Lie Algebra of finite rank $n$, this work considers the orbit problem for $F_{n}$. The orbit problem is the following: given an element $u\in F_{n}$ and a finitely generated subalgebra $H$ of $F_{n}$, does $H$ meet ...
Zeynep Yaptı Özkurt
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FEBS Letters, EarlyView.Proteostasis and the gut microbiota play a key role in shaping host physiology. Microbiota‐derived metabolites, vitamins, and RNA modulate host proteostasis. Findings from model systems, including C. elegans, indicate microbes can either stabilize or disrupt host proteostasis.
Abhishek Anil Dubey, Maria Ermolaeva
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The Rank-Ramsey problem and the Log-Rank conjecture
Combinatorics, Probability and ComputingAbstract A graph is called Rank-Ramsey if (i) Its clique number is small, and (ii) The adjacency matrix of its complement has small rank. We initiate a systematic study of such graphs. Our main motivation is that their constructions, as well as proofs of their non-existence, are intimately related to the famous ...
Gal Beniamini +2 more
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