Výsledky vyhľadávania - convex functions and convex process in convex geometry*

The Lin-Ni’s problem for mean convex domains Autor Druet, Olivier, Robert, Frédéric, Wei, Juncheng

“…We prove some refined asymptotic estimates for positive blow-up solutions to…”
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CvxNet: Learnable Convex Decomposition Autor Deng, Boyang, Genova, Kyle, Yazdani, Soroosh, Bouaziz, Sofien, Hinton, Geoffrey, Tagliasacchi, Andrea

“…Any solid object can be decomposed into a collection of convex polytopes (in short, convexes). When a small number of convexes are used, such a decomposition can be thought of as a piece-wise approximation of the geometry…”
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The Brunn-Minkowski Inequality and A Minkowski Problem for Nonlinear Capacity Autor Akman, Murat, Gong, Jasun, Hineman, Jay, Lewis, John, Vogel, Andrew

“…In this article we study two classical potential-theoretic problems in convex geometry…”
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Convex Optimization for Parameter Synthesis in MDPs Autor Cubuktepe, Murat, Jansen, Nils, Junges, Sebastian, Katoen, Joost-Pieter, Topcu, Ufuk

“…Probabilistic model-checking aims to prove whether a Markov decision process (MDP) satisfies a temporal logic specification…”
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Distributed Learning in Non-Convex Environments-Part I: Agreement at a Linear Rate Autor Vlaski, Stefan, Sayed, Ali H.

“… algorithms in non-convex environments. Most available works on distributed non-convex optimization problems focus on the deterministic setting where exact gradients are available at each agent…”
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An Improved Convergence Analysis for Decentralized Online Stochastic Non-Convex Optimization Autor Xin, Ran, Khan, Usman A., Kar, Soummya

“… minimizing a sum of smooth non-convex functions. In particular, for general smooth non-convex functions, we establish non-asymptotic characterizations of GT-DSGD and derive the conditions under which it achieves network-independent performances…”
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Distributed Convex Optimization for Electric Vehicle Aggregators Autor Rivera, Jose, Goebel, Christoph, Jacobsen, Hans-Arno

“… process across several servers/cores. We demonstrate the performance and versatility of our framework by applying it to two relevant aggregator objectives: 1) valley filling; and 2…”
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A Convex Approach to Data-Driven Optimal Control via Perron-Frobenius and Koopman Operators Autor Huang, Bowen, Vaidya, Umesh

“… The convex formulation relies on the duality result in the dynamical system's stability theory involving density function and Perron-Frobenius operator…”
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A Convex Optimization Framework for Active Learning Autor Elhamifar, Ehsan, Sapiro, Guillermo, Yang, Allen, Sasrty, S. Shankar

“…In many image/video/web classification problems, we have access to a large number of unlabeled samples. However, it is typically expensive and time consuming…”
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Stochastic Strongly Convex Optimization via Distributed Epoch Stochastic Gradient Algorithm Autor Yuan, Deming, Ho, Daniel W. C., Xu, Shengyuan

“…This article considers the problem of stochastic strongly convex optimization over a network of multiple interacting nodes…”
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Fine Representation of Hessian of Convex Functions and Ricci Tensor on RCD Spaces: Fine Representation of Hessian of Convex Functions and Ricci Tensor Autor Brena, Camillo, Gigli, Nicola

“… Our discussion also covers the case of Hessians of convex functions and, under suitable assumptions on the base space, of the Sectional curvature operator…”
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A Maximum-Likelihood TDOA Localization Algorithm Using Difference-of-Convex Programming Autor Ma, Xiuxiu, Ballal, Tarig, Chen, Hui, Aldayel, Omar, Al-Naffouri, Tareq Y.

“… The main challenge in this optimization process is the non-convexity of the objective function, which precludes the use of many standard convex optimization tools…”
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A Convex Formulation for Robust Control of Bilinear Positive Systems With Evolutionary Dynamics Autor Babazadeh, Maryam, Akbari, Sanaz

“… Properties of the positive systems, Metzler matrices, and the exploitable structure of the problem are utilized to show that the underlying problem is representable as a standard convex optimization problem…”
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Cones generated by random points on half-spheres and convex hulls of Poisson point processes Autor Kabluchko, Zakhar, Marynych, Alexander, Temesvari, Daniel, Thäle, Christoph

“… We show that, as n → ∞ , the f -vector of the ( d + 1 ) -dimensional convex cone C n generated by U 1…”
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Weyl Almost Periodic Functions in Locally Convex Spaces Autor Abbas, S., Fedorov, V. E., Kostić, M.

“…In this paper, we introduce and analyze several new classes of Weyl -almost periodic type functions , where , is an arbitrary non-empty set, and is a locally convex space over the field of complex numbers…”
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Superfast Second-Order Methods for Unconstrained Convex Optimization Autor Nesterov, Yurii

“…In this paper, we present new second-order methods with convergence rate O k - 4 , where k is the iteration counter. This is faster than the existing lower…”
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Integral Sliding Mode Convex Optimization in Uncertain Lagrangian Systems Driven by PMDC Motors: Averaged Subgradient Approach Autor Poznyak, Alexander S., Nazin, Alexander V., Alazki, Hussain

“… The controller design is based on sliding mode concept, aimed to minimize a given convex (not obligatory strongly convex…”
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Faster First-Order Methods for Stochastic Non-Convex Optimization on Riemannian Manifolds Autor Zhou, Pan, Yuan, Xiao-Tong, Yan, Shuicheng, Feng, Jiashi

“…First-order non-convex Riemannian optimization algorithms have gained recent popularity in structured machine learning problems including principal component analysis and low-rank matrix completion…”
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On the Asymptotic Expansion of the Heat Content for Isotropic α-Stable Processes Over Convex Bodies, 0<α<2 Autor Valverde, Luis Acuña

“…Geometric features of convex sets can be expressed by means of functions. We use these functions to obtain a third-order asymptotic expansion of the heat content related to the isotropic α…”
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Lah distribution: Stirling numbers, records on compositions, and convex hulls of high-dimensional random walks Autor Kabluchko, Zakhar, Marynych, Alexander

“… Consider a random walk S i : = ξ 1 + ⋯ + ξ i , and let C n , d : = conv ( 0 , S 1 , S 2 , … , S n ) be the convex hull of the first n…”
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