Results 51 to 60 of about 4,132 (306)
Convex Analysis for Minimizing and Learning Submodular Set Functions [PDF]
The connections between convexity and submodularity are explored, for purposes of minimizing and learning submodular set functions. First, we develop a novel method for minimizing a particular class of submodular functions, which can be expressed as a
Peter Stobbe, Stobbe, Peter
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Horoballs in simplices and Minkowski spaces
We obtain precise descriptions of all horoballs for Hilbert's geometry on simplices and for normed finite-dimensional vector spaces with norm given by some polyhedron.
A. Karlsson, V. Metz, G. A. Noskov
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Third-order differential equations with three-point boundary conditions
In this paper, a third-order ordinary differential equation coupled to three-point boundary conditions is considered. The related Green’s function changes its sign on the square of definition. Despite this, we are able to deduce the existence of positive
Cabada Alberto, Dimitrov Nikolay D.
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A positively invariant set is an important concept in dynamical systems. The study of positively invariant set conditions for discrete-time systems is one interesting topic in both theoretical studies and practical applications research.
Yuyao Lei +2 more
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A laser pointer‐guided robotic grasping method for arbitrary objects based on promptable segment anything model and force‐closure analysis is presented. Grasp generation methods based on force‐closure analysis can calculate the optimal grasps for objects through their appearances. However, the limited visual perception ability makes robots difficult to
Yan Liu +5 more
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Finite dimensional locally convex cones
We study the locally convex cones which have finite dimension. We introduce the Euclidean convex quasiuniform structure on a finite dimensional cone.
Davood Ayaseha
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We solve a long-standing conjecture by Barker, proving that the minimal and maximal tensor products of two finite-dimensional proper cones coincide if and only if one of the two cones is generated by a linearly independent set.
Palazuelos Cabezón, Carlos
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A new proof of a (slightly extended) geometric version of Tucker's fundamental result is given.
Abraham Berman, Michael Tarsy
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Temperature‐Tunable Cholesteric Liquid Crystal Optical Combiners for Extended Reality Applications
Recent advancements in extended reality highlight their potential to enhance traditional displays like liquid crystal displays and organic light‐emitting diode screens. This article introduces an innovative cholesteric liquid crystal‐based optical combiner for head‐mounted displays, enabling seamless transitions between augmented reality, virtual ...
Yuanjie Xia +6 more
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Openness and continuity in locally convex cones
In this paper we define nearly continuity and nearly openness of linear operators between locally convex cones. Also we give some conditions on locally convex cones and linear operators which ensure that every nearly continuous (nearly open ...
Somayyeh Jafarizad, Asghar Ranjbari
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