Results 21 to 30 of about 46,580 (177)
A parallel ADMM-based convex clustering method
Convex clustering has received recently an increased interest as a valuable method for unsupervised learning. Unlike conventional clustering methods such as k-means, its formulation corresponds to solving a convex optimization problem and hence ...
Lidija Fodor +3 more
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Contacts in totally separable packings in the plane and in high dimensions
We study the contact structure of totally separable packings of translates of a convex body K in Rd, that is, packings where any two touching bodies have a separating hyperplane that does not intersect the interior of any translate in the packing.
Márton Naszódi, Konrad Swanepoel
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On the quermassintegrals of convex bodies [PDF]
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Zhao, C, Cheung, WS
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To improve the performance of the rigid body localization (RBL) in the non-line-of-sight (NLOS) environment, this paper delves into a joint estimation method about the wireless signal transmission parameter and the attitude parameters of the rigid body ...
Pengwu Wan +3 more
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There are several ways to generalize the classical concept of affine surface area of a sufficiently smooth convex body \(K\) in \(\mathbb{R}^ n\) due to Blaschke to arbitrary convex bodies [see \textit{K. Leichtweiss}, Manuscr. Math. 56, 429-464 (1986; Zbl 0588.52011), \textit{E. Lutwak}, Adv. Math. 85, No. 1, 39-68 (1991; Zbl 0727.53016) and \textit{C.
Werner, Elisabeth, Schütt, Carsten
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Nested Convex Bodies are Chaseable [PDF]
In the Convex Body Chasing problem, we are given an initial point $v_0$ in $R^d$ and an online sequence of $n$ convex bodies $F_1, ..., F_n$. When we receive $F_i$, we are required to move inside $F_i$. Our goal is to minimize the total distance travelled. This fundamental online problem was first studied by Friedman and Linial (DCG 1993).
Nikhil Bansal 0001 +4 more
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The Heat Transfer Problem in a Non-Convex Body—A New Procedure for Constructing Solutions
The subject of this work is the coupled steady-state conduction-radiation-convection heat transfer phenomenon in a non-convex blackbody, which is represented by a second-order partial differential equation (representing the heat conduction inside the ...
Rogério Martins Saldanha da Gama
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Caenorhinus lobanovi, a new species of the tribe Deporaini (Coleoptera: Rhynchitidae) from Laos [PDF]
A new species, Caenorhinus (Flavodeporaus) lobanovi sp. n. from Central Laos is described and illustrated. This new species differs from Caenorhinus (Flavodeporaus) guskovae Legalov, 2021 from Laos in the unicoloured body (in C.
A.A. Legalov
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Order Types of Convex Bodies [PDF]
We give new bounds on the Erdos-Szekeres theorems for convex bodies of Bisztriczky and Fejes Toth and of Pach and Toth. We derive them from a combinatorial characterization of convex position of a family of planar convex bodies. This characterization confirms that the concept of Order Type for points can be extended to noncrossing families of convex ...
Hubard, Alfredo +3 more
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Competitively Chasing Convex Bodies [PDF]
Let $\mathcal{F}$ be a family of sets in some metric space. In the $\mathcal{F}$-chasing problem, an online algorithm observes a request sequence of sets in $\mathcal{F}$ and responds (online) by giving a sequence of points in these sets. The movement cost is the distance between consecutive such points.
Sébastien Bubeck +3 more
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