Results 11 to 20 of about 1,867 (83)
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.
europepmc +2 more sources
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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Operads, configuration spaces and quantization [PDF]
, 2011 We review several well-known operads of compactified configuration spaces and construct several new such operads, C, in the category of smooth manifolds with corners whose complexes of fundamental chains give us (i) the 2-coloured operad of A-infinity ...
Merkulov, S. A.
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Semidefinite Relaxations for Stochastic Optimal Control Policies [PDF]
, 2014 Recent results in the study of the Hamilton Jacobi Bellman (HJB) equation have led to the discovery of a formulation of the value function as a linear Partial Differential Equation (PDE) for stochastic nonlinear systems with a mild constraint on their ...
Burdick, Joel W., Horowitz, Matanya B.
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Canonical forms of oriented matroids
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract Positive geometries are semialgebraic sets equipped with a canonical differential form whose residues mirror the boundary structure of the geometry. Every full‐dimensional projective polytope is a positive geometry. Motivated by the canonical forms of polytopes, we construct a canonical form for any tope of an oriented matroid inside the Orlik–
Christopher Eur, Thomas Lam
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Algebraic varieties with semialgebraic universal cover
, 2011 We study projective varieties whose universal cover is biholomorphic to a semialgebraic open subset of a projective ...
Kollár, János, Pardon, John
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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
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