Search Results - convex functions AND convex process in convex geometry*

CvxNet: Learnable Convex Decomposition by 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…”
Get full text

Convex Optimization for Parameter Synthesis in MDPs by 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…”
Get full text

Distributed Learning in Non-Convex Environments-Part I: Agreement at a Linear Rate by 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…”
Get full text

An Improved Convergence Analysis for Decentralized Online Stochastic Non-Convex Optimization by 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…”
Get full text

Distributed Convex Optimization for Electric Vehicle Aggregators by 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…”
Get full text

A Convex Approach to Data-Driven Optimal Control via Perron-Frobenius and Koopman Operators by 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…”
Get full text

A Convex Optimization Framework for Active Learning by 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…”
Get full text

Stochastic Strongly Convex Optimization via Distributed Epoch Stochastic Gradient Algorithm by 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…”
Get full text

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

“…We prove some refined asymptotic estimates for positive blow-up solutions to…”
Get full text

Fine Representation of Hessian of Convex Functions and Ricci Tensor on RCD Spaces: Fine Representation of Hessian of Convex Functions and Ricci Tensor by 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…”
Get full text

A Maximum-Likelihood TDOA Localization Algorithm Using Difference-of-Convex Programming by 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…”
Get full text

A Convex Formulation for Robust Control of Bilinear Positive Systems With Evolutionary Dynamics by 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…”
Get full text

Cones generated by random points on half-spheres and convex hulls of Poisson point processes by 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…”
Get full text

Weyl Almost Periodic Functions in Locally Convex Spaces by 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…”
Get full text

Superfast Second-Order Methods for Unconstrained Convex Optimization by 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…”
Get full text

Integral Sliding Mode Convex Optimization in Uncertain Lagrangian Systems Driven by PMDC Motors: Averaged Subgradient Approach by 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…”
Get full text

The Brunn-Minkowski Inequality and A Minkowski Problem for Nonlinear Capacity by Akman, Murat, Gong, Jasun, Hineman, Jay, Lewis, John, Vogel, Andrew

“…In this article we study two classical potential-theoretic problems in convex geometry…”
Get full text

Faster First-Order Methods for Stochastic Non-Convex Optimization on Riemannian Manifolds by 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…”
Get full text

On the Asymptotic Expansion of the Heat Content for Isotropic α-Stable Processes Over Convex Bodies, 0<α<2 by 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…”
Get full text

Lah distribution: Stirling numbers, records on compositions, and convex hulls of high-dimensional random walks by 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…”
Get full text