Results 11 to 20 of about 1,868 (82)
Microbe-disease associations prediction by graph regularized non-negative matrix factorization with L 2 , 1 $$ {L}_{2,1} $$ norm regularization terms. [PDF]
J Cell Mol MedAbstract Microbes are involved in a wide range of biological processes and are closely associated with disease. Inferring potential disease‐associated microbes as the biomarkers or drug targets may help prevent, diagnose and treat complex human diseases. However, biological experiments are time‐consuming and expensive.
Chen Z, Zhang L, Li J, Chen H.
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Convergent Hahn series and tropical geometry of higher rank
Journal of the London Mathematical Society, Volume 107, Issue 4, Page 1450-1481, April 2023., 2023 Abstract We propose to study the tropical geometry specifically arising from convergent Hahn series in multiple indeterminates. One application is a new view on stable intersections of tropical hypersurfaces. Another one is perturbations of rank one tropical polytopes, which is beneficial for algorithmic purposes.
Michael Joswig, Ben Smith
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Betti numbers of random hypersurface arrangements
Journal of the London Mathematical Society, Volume 106, Issue 4, Page 3134-3161, December 2022., 2022 Abstract We study the expected behavior of the Betti numbers of arrangements of the zeros of random (distributed according to the Kostlan distribution) polynomials in RPn$\mathbb {R}\mathrm{P}^n$. Using a random spectral sequence, we prove an asymptotically exact estimate on the expected number of connected components in the complement of s$s$ such ...
Saugata Basu +2 more
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Bulletin of the London Mathematical Society, Volume 54, Issue 2, Page 590-608, April 2022., 2022 Abstract We construct an example of a smooth convex function on the plane with a strict minimum at zero, which is real analytic except at zero, for which Thom's gradient conjecture fails both at zero and infinity. More precisely, the gradient orbits of the function spiral around zero and at infinity.
Aris Daniilidis +2 more
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Optimal Decision and Coordination of Organic Food Supply Chain from the Perspective of Blockchain
Discrete Dynamics in Nature and Society, Volume 2022, Issue 1, 2022., 2022 Driven by the pain points of the organic food supply chain, which has been plagued by counterfeiting and difficulties in pursuing accountability, this paper investigates a secondary organic food supply chain consisting of suppliers and retailers and establishes two supply chain models under the traditional model and in the blockchain traceability ...
Junhui Ding, Shizhen Bai, Reza Lotfi
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ON THE DIMENSIONS OF THE REALIZATION SPACES OF POLYTOPES
Mathematika, Volume 67, Issue 2, Page 342-365, April 2021., 2021 Abstract Robertson in 1988 suggested a model for the realization space of a convex d‐dimensional polytope and an approach via the implicit function theorem, which—in the case of a full rank Jacobian—proves that the realization space is a manifold of dimension NG(P):=d(f0+fd−1)−f0,d−1.
Laith Rastanawi +2 more
wiley +1 more source
Lower Bounds on Complexity of Lyapunov Functions for Switched Linear Systems [PDF]
, 2015 We show that for any positive integer $d$, there are families of switched linear systems---in fixed dimension and defined by two matrices only---that are stable under arbitrary switching but do not admit (i) a polynomial Lyapunov function of degree $\leq
Ahmadi, Amir Ali, Jungers, Raphael
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Certification of Real Inequalities -- Templates and Sums of Squares
, 2014 We consider the problem of certifying lower bounds for real-valued multivariate transcendental functions. The functions we are dealing with are nonlinear and involve semialgebraic operations as well as some transcendental functions like $\cos$, $\arctan$,
Allamigeon, Xavier +3 more
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Moments, sums of squares, and tropicalization
Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.Abstract We use tropicalization to study the duals to cones of nonnegative polynomials and sums of squares on a semialgebraic set S$S$. The truncated cones of moments of measures supported on the set S$S$ are dual to nonnegative polynomials on S$S$, while “pseudomoments” are dual to sums of squares approximations to nonnegative polynomials.
Grigoriy Blekherman +4 more
wiley +1 more source
On spectral types of semialgebraic sets [PDF]
, 2013 In this work we prove that a semialgebraic set $M\subset{\mathbb R}^m$ is determined (up to a semialgebraic homeomorphism) by its ring ${\mathcal S}(M)$ of (continuous) semialgebraic functions while its ring ${\mathcal S}^*(M)$ of (continuous) bounded ...
Fernando, José F., Gamboa, J. M.
core